diff --git "a/data/dm_maths/full_data_1/1876_11255.jsonl" "b/data/dm_maths/full_data_1/1876_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1876_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 410137241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a minute in seconds?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 33\/7 + 8\/28\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 - 2*h - 1. Let r(u) = 5*u**2 - 5*u - 3. Let q(o) = 2*o**2 + 1. Let a(n) = q(n) + r(n). Calculate -4*a(c) + 10*b(c).\nAnswer: 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14777 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/4 - 4936169*t\/2 + 29617023\/4.\nAnswer: -(t - 3)*(t + 9872341)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a**3 - 1296 + 647 + 649 + 39*a**2.\nAnswer: -67*a**3 + 39*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454940?\nAnswer: 2, 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.382 in 2, 2\/5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -2)\/(4\/(-8)*2). Let p(n) = -1 + 53*n**2 + 1. Is p(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/1900 and -59\/3362.\nAnswer: 3193900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 224857 and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205465?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - 3.96. Let t = s - -7.5. Let x = -3 + t. Which is the smallest value? (a) x (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-36)\/150)\/(6\/20))\/2. Which is greater: d or 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhfaafaahhfhaahhfah. What is prob of sequence aa?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 247237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250.3589 - 1000.\nAnswer: -1250.3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4372 = 5*d - 5*w + 422, -4*d = 2*w - 3178. Suppose 3*v + 2*f = 674, 4*v + 2*f = d + 109. Suppose 4*l - 92 = v. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*b**3*p*t**2 + b**3*p*t + 186*b**3*t - 2*b**2*p*t**2 - b**2*p*t + 35*b**2 - 3*b*t**2 + b wrt b?\nAnswer: -432*p*t**2 + 6*p*t + 1116*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -0.2 (c) -2 (d) -0.11 (e) -44.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, w: 2}. Give prob of sequence ww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 40296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/6)\/((-1)\/(-2676)). Suppose -u = -5*t + 5*f + 107, t = -2*f + 286. Calculate the greatest common divisor of t and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19616 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.8887 - 3.7887. Let m = 5 - 5.02. Let i = m + 0.22. Put -2, 1, c, i in decreasing order.\nAnswer: 1, i, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t - 3163 - 1325. Let p = -746 - t. Solve p*c - 7 = -3*n + 4*n, 25 = -5*n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 666.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -149875 divided by -2725\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.984 + -1.024. Which is the nearest to 31\/3? (a) 2 (b) -3 (c) o (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 22.85. Let s = 0.17 + t. Which is the biggest value? (a) 5\/3 (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-4)*(-12)\/28.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 2*j. Let s be c(0). Solve -3*m - 2*m = s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j**(-6))*j**(-1\/4))\/(j\/(j**(-1\/5)*j*j)*j*j*j**(-1)))**31)**(-1\/11) assuming j is positive.\nAnswer: j**(-3441\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**3 + d**2 + 3*d + 1. Determine x(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 32. Suppose -3*p**2 + 48*p - 32 - 17*p**2 - 4*p**2 + 4*p**z = 0. Calculate p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 + 54 = -w, 0 = -5*o. Let g = w - -194. Suppose -2*m + g = -493. Calculate the greatest common factor of m and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 77159528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - -1) + -5 - 8) + 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzvs when four letters picked without replacement from {s: 1, v: 3, u: 1, z: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -101000100001000 (base 2) to base 10\nAnswer: -20744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**0*s))*s**(-19)*s)\/(s**(-3))**(12\/5) assuming s is positive.\nAnswer: s**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/18359208 and -155\/331128?\nAnswer: 165232872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -39324 smaller than 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*g**3 + 16*g**3 - 45*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 4*w + 25 = 3*c, -5 = 3*c + w. Let j = 37 + -23. Suppose 2*z + z + b - 38 = c, -z = b - j. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33877 - -1?\nAnswer: 33878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*v - 2*v. Suppose 0 = -v*p + 4*j + 606, 3*p - 5*j + 391 = 1000. Let i = -119 + p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-9)*2\/4. Let f be (-9)\/t + -4 + (-6)\/44. What is m in f - 2\/11*m**2 + 2\/11*m = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010120 - -100211?\nAnswer: -202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1210))\/(sqrt(30)\/sqrt(96)) - ((sqrt(2) + sqrt(72) + sqrt(2))*-4 - (-2*sqrt(2)*3 - sqrt(2)))**2.\nAnswer: -1250 - 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 1. Let k be x(8). Let p be 15\/(1*k\/(-12)). Let q be 2\/(-5) - (-22)\/p. Is q < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-224)\/(-560))\/(2\/(-1))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1994, 1969, 1944?\n\"Answer: -25*i + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/5 - 478*k**2\/5 + 1936*k\/5 - 1944\/5 = 0 for k.\nAnswer: -243, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12247 is divided by 5962?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830c (base 16) to base 6.\nAnswer: 415152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.13678? (a) 0.4 (b) -0.1 (c) -0.84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**9\/30240 - r**8\/5880 - r**7\/5880 + r**6\/1260 - r**5\/12 + r**2. Let m(q) be the third derivative of n(q). Solve m(z) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 72*k**2 + 435*k + 50. Determine c(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43988 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.528101 + -0.028101. Let u = -4 - -3. Which is the closest to u? (a) q (b) 1\/7 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/18*114\/304?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1011000001111100000100 (base 2) to base 9\nAnswer: 5386374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtxyyyyq. What is prob of sequence xqgy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -300, -4, 0, 79, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 5. Let j be g(-3). Factor -12*t**3 + 6*t**4 - t**5 + 634*t**j - 624*t**2 - 5*t + 2*t.\nAnswer: -t*(t - 3)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8))**11\/(w**6)**37 assuming w is positive.\nAnswer: w**(-310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.46852 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 2*n + 3. Let b be m(3). Let d be 0\/b + (-1 - -1). Let u(r) = 5*r**3 - r**2 + 2*r - 1. Let v be u(1). Is v equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide ((-1)\/((-20)\/15))\/(4\/5664)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001883000705 rounded to 5 dps?\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 269, 391, 513, 635?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 259.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1556296*h + 1556184*h + 1.\nAnswer: -112*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**6\/120 - a**5\/20 + a**4\/8 - 5*a**3\/6 + 6*a**2. Determine l(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -293\/88 - -38\/11. Sort 0.2, 0.5, s in decreasing order.\nAnswer: 0.5, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 5*f + 25, 10 = -t + 3*f + 2*f. Suppose h = t*h + 4. Is 1 + (146\/h)\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 177\/12 + (-2)\/(-8). Suppose 0 = p - h - 31, 0 = -7*p + 3*p + 5*h + 122. What is the remainder when p is divided by y\/(3 - 2) + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 450677, 1802742, 4056177, 7210982, 11267157, 16224702?\n\"Answer: 450685*w**2 + 10*w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/9)\/z)**(-20) assuming z is positive.\nAnswer: z**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3 - 5604*g**2 - 1694638*g + 1700244 = 0. What is g?\nAnswer: -2457, -346, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 2\/5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -57270 (base 10) to base 15\nAnswer: -11e80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 4 + 3 - 8)*(5*f**2 - 4*f**2 - 3*f**2).\nAnswer: 2*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.1. Suppose -8*s = -4*s + 56. Let m be (-2)\/4*(s + 14). Put 2\/9, m, q in increasing order.\nAnswer: q, m, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 175*k**2*s**2*w - 21*k**2*s**2 + 4*k*s**2 + s**2*w wrt w?\nAnswer: 175*k**2*s**2 + s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -83*a**4 - 65914*a**2 + 67229563?\nAnswer: -332*a**3 - 131828*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-26))\/c*c*c\/(c*c**(-12\/5)*c))\/(c**11)**(19\/4) assuming c is positive.\nAnswer: c**(-1497\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 17589 divided by 867\nAnswer: 5863\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3300? (a) -2 (b) -3\/17 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + -1 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + bfecb?\nAnswer: bfeca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408 - 102 = -2*p. What are the prime factors of p?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -18. What is the common denominator of -2 - (d\/16 + 3) and -39\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 102002.\nAnswer: -2\/51001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -9 and -773.6.\nAnswer: -782.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 + 0.4. Let m = -3 + z. Are 2 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, -233 in decreasing order.\nAnswer: 3, 0, -2, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 723750040*d**4 + 1065499542*d**2 wrt d?\nAnswer: 17370000960*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -20fa5e (base 16) in base 6?\nAnswer: -114153434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*j + 94701 = 4*j, 0 = 4*l - 2*j - 94686. Suppose -2*c + 0*c = -l. Suppose 16163 = -5*k - c. What is k rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4696 - -4701. What is the lowest common multiple of 985 and q?\nAnswer: 985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-30)\/420)\/((-1)\/(-2)). Let q = 0.8 + 2.2. Which is the biggest value? (a) l (b) q (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 21*i**2 + 17*i - 92. Determine j(-20).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 11. Let m be 93\/(-341)*(-1 + 5\/u). Sort 0.4, m, -0.3 in ascending order.\nAnswer: -0.3, m, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(408\/804)*(-98)\/49?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1721600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 28 + 166?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 12*s - 21. Give r(-5).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -377*l**3 - 95812*l - 95811*l + 191626*l in the form h*l + m*l**3 + x + p*l**2 and give m.\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 2. Let v be 6\/(-7) + (15\/(-35))\/3. Let h be j(v). Find the third derivative of 0 - 41*a**2 - 4*a**h + 0 + 33*a**2 wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*p**2 - 30*p**2 + 2*p**3 - 38*p**2 - 4*p + 106*p**2.\nAnswer: 2*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23054 + -23053.9957851. Round g to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17584.104593 - -236.\nAnswer: -17348.104593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -3 + 4 + 6. Suppose -97 = -5*l + 3*b, 2*l = -2*l + i*b + 77. What is the highest common divisor of l and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-175)\/2)\/(-1) + 1\/2. What is the highest common factor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 2*i + 5*u - 421, -3*u = 3*i - 390. What is the remainder when 865 is divided by i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 16. Let u be j(-10). Let i be (-30)\/(-7) - u\/(-21). Let z = 27 - 7. Solve -5*o - 3*h - i = 0, o - 5*h = -4*o + z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Let f(j) = -3*j**2 - 6*j - 29. Let l be f(-8). Let o = -2593\/15 - l. Sort o, -0.5, p in decreasing order.\nAnswer: p, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -12. Which is smaller: -0.1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 d, and 1 j when four letters picked without replacement from xuhrxrhjd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -39\/4*m + 9\/2*m**2 + 5 + 1\/4*m**3 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -4, -2\/7, -505 in ascending order.\nAnswer: -505, -4, -3\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*z + 144*z - 2176 = 247*z for z.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = t - 9*t. Let y be (4\/36)\/(t\/54). Let f = 6 + -3. What is the fourth biggest value in -0.3, -1\/3, f, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n - n**2 - n)*(-1 + 4 - 1)*(-2*n + 0 + 0).\nAnswer: 4*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 326 - 323. Is (0 - -825)*i\/3 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**4 + g + 3*g**2 + 2*g**2 - 3*g**2 in the form a*g**4 + t*g + s + u*g**2 + z*g**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9068455 to the power of 1\/2, to the nearest integer?\nAnswer: 3011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, 0.5, -3\/4, -981, 0.3 in decreasing order.\nAnswer: 4, 0.5, 0.3, 0.2, -3\/4, -981","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 555802055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14046 - -14048. What is the nearest to 6 in 71, -0.4, 1\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 30, 78, 142, 216?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -22*i**3 + i**2. Let u be s(1). Let n(o) = o**3 + 21*o**2 - 14*o + 26. Let v be n(u). What is x in -70*x + 5*x**2 - 117*x + 107*x + v = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -108 + 1618\/15. What is the closest to -0.1 in -0.2, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 1 = -11. Let z be 6 + (0 - (d - 1)). Suppose -3*i - 3*q + 3 + 3 = 0, 2*i + q = 2. Solve i = 4*a - z - 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.50908?\nAnswer: 0.050908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175049 and 42?\nAnswer: 1050294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 0 + -5 - 27 - -4?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 98*p**2 + 10*p - 3. Let c(j) = -97*j**2 - 12*j + 4. Calculate -5*c(g) - 6*m(g).\nAnswer: -103*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118249360*s**2*t**3 - 17511539*s + 4*t**3 wrt s?\nAnswer: 236498720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = k - 14. Suppose -120 = -5*s - 5*c, 3*c + 2 = c. What is the remainder when s is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.2? (a) -29 (b) 0.3 (c) -712 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of -2\/11*f**2 - 4\/33*f**3 + 1\/22*f**4 + 19 + 1\/33*f**6 + 1\/11*f**5 - 1\/11*f. Find l, given that p(l) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335795415.\nAnswer: 3, 5, 22386361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 3*j**3 - 6*j**3 + (-3*j - 2*j + 3*j)*(-6*j**2 + 2*j**2 + 3*j**2) - j**3 + j**3 + 2*j**3 + 0*j**3 - 2*j**3 + j**3)*(-2 + 11*j + 5*j + 0).\nAnswer: 32*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrrcrlrll. Give prob of picking 3 c and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 9*g - 13*g = -28, 4*w = -g - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -412*c - 2. Let h(v) = -1231*v - 10. Let p(w) = -1230*w - 11. Let d(b) = -5*h(b) + 4*p(b). Let t(f) = -3*d(f) - 8*g(f). Is t(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2. Let v(j) = 2*j**2 + 48*j + 21646. What is v(n(w))?\nAnswer: 2*w**4 + 48*w**2 + 21646","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 l, and 1 b when three letters picked without replacement from {b: 4, k: 2, l: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -100110111111101011000001 (base 2) in base 15?\nAnswer: -d6dc4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 0*b**3 - 2 - 3*b + b**3 + b as l*b**2 + v*b**3 + g + f*b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -600138 rounded to the nearest one thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*3*sqrt(104) - sqrt(104) - (sqrt(104) + (sqrt(104)*3*-6 - sqrt(104))))\/(-5*5*(sqrt(392) + sqrt(392)*1 + sqrt(392) - sqrt(392))).\nAnswer: -16*sqrt(13)\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 2, h: 4, m: 9, f: 4, s: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 460375?\nAnswer: 7366000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -191.\nAnswer: -4\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 11:14 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(1\/2)\/i)*i)\/i*i*i\/i**(-5)*i)**(-26\/7) assuming i is positive.\nAnswer: i**(-247\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**4\/4 + 2*d**3 - d**2\/2 + 6*d + 1. What are the prime factors of t(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 (base 8) in base 5?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23245 = -4*b - b. Let f = -3308 - b. Suppose f = 5*u - 4. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 370244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 26. Suppose u*n - 62 = -y + 3*y, -n + y + 17 = 0. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let n = 17 + -203\/12. Let s(r) be the third derivative of 0*r + n*r**4 + 0 - 2*r**2 + 0*r**3. Give v(s(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 4, 9.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/(-2)*(-16)\/(-24). Let s be 22\/y*(0 + 5). Calculate the highest common factor of s and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.6 + 13. Let t = 0.2064 + -2.2064. Put -0.1, t, n, -1\/8 in increasing order.\nAnswer: t, -1\/8, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 99 + -3276?\nAnswer: -31aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**2 + 3909. Let o(i) = -51*i**2 - 54*i**2 - 14*i**2. Calculate r(o(y)).\nAnswer: 238*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -100*k + 9436. Does 3 divide n(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3201926 and 13496?\nAnswer: 12807704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 times 212\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -9*x + 2. What is t(3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + -319. Let n = 204 + u. Let a = n + 163.83. What is a rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from {v: 4, i: 4, n: 9}?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 897164 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37216323, 74432644, 111648963, 148865280, 186081595, 223297908, 260514219?\n\"Answer: -w**2 + 37216324*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 277, 417, 565, 721, 885?\nAnswer: 1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {s: 1, h: 1, p: 2, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*y + 12 = 0. Let t = 12 - 8. Is t not equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 0.3, -87, -390.\nAnswer: -390, -87, -47, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10643 divided by -367.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -12 - 12) + (0 - 2) - -22.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69172087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65085*u - 130135*u + 65049*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63546 - 146546. What is x rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.07 (b) -2\/5 (c) 0.3 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 - 1)*(-2*g**2 + 5*g**2 - 4*g**2) + 4*g**2 - g**2 + 15*g**2)*(-4 + 2 + 1).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 5*z**2 + 0*z)*(-5*z**2 + 3*z**2 + 3*z**2 + (7*z**2 + 4*z**2 + z**2)*(-3 + 0 + 0)).\nAnswer: -175*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 9*i. Let y be (-1512)\/49 + i\/(-14). Is -29 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1015024253 (base 6) to base 15\nAnswer: de4183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/(-45))\/((-6)\/18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 2. Let t be p(-2). Solve -j - 4 = -4*j + 2*k, -4*j + 5*k + 10 = t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o**2 - 2*o + 3. Suppose -243 = 5*s + 3*f, 7*s + 4*f = 4*s - 137. Let y be -10*(-3 - s\/15) - -8. Let a be z(y). Does -38 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/24 and 89\/124.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 7:02 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13\/91*-14*6742\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109.861 - -110. Let v = 0.13818 - c. What is v rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15640480 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10428\/42 - 44\/154 and 32?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*p - 8*s, 100*s - 96*s = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - -4 - 2\/4. Which is the smallest value? (a) -2\/13 (b) 2\/9 (c) -4 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 548*l**3 - 85332*l**2*o + 102*l*o - 3935*o - 128 wrt l?\nAnswer: 3288*l - 170664*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u + 0*u - 3*u + (-5*u + 3*u + 0*u)*(-4 + 2 + 3))*(-56*u + 289*u + 141*u) to the form l*u**2 + t*u + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1860616*p - 935244.\nAnswer: -1860616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by 9.\nAnswer: -85\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -a + 18, 4*a - 2*a - 4*n = 32. Let v = a + -6. Let b = v + -9. Sort -5, b, 4.\nAnswer: -5, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = o. Let i be 0\/(-1 + o\/3). Suppose a - 374048 + 64048 = i. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - 3*m**2 - 2*m)*(-5*m + 4*m + 2*m)*(1 + 12 + 13) to o*m**3 + g*m + i + u*m**2 and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1796276?\nAnswer: -1796276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 x, and 2 j when four letters picked without replacement from xhiixqiijiixj.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -4 (c) 5\/6 (d) 29 (e) -393170\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 34*j**3 + 2*j**2 - 2*j + 1. Suppose -4*m + m + 23 = -4*s, -4*m - s = 1. Is r(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -325665, -325513, -325361, -325209, -325057?\n\"Answer: 152*u - 325817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 1. Let i = j - 12.2. Let z = i - -2.20000029. What is z rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -262, -371, -474, -571?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 5*t**2 - 8*t. Let w(g) = g**2 - 5*g - 6. Let n be w(5). Let o(c) = 4*c**2 - 7*c. Calculate n*p(l) + 7*o(l).\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + 3.3. Suppose 4*l = -0*v + v + 13, -2*v = -4*l + 10. Suppose -v + 9 = -2*z. Put z, 0.4, q in decreasing order.\nAnswer: q, 0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*l + 16. Suppose -3*c = -l, -5*a + 2*c + 103 = c. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, b: 4, j: 2}. Give prob of picking 1 j and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2294 * -19.032.\nAnswer: -4.3659408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + b - 7, -5*o + 4*b - 3*b = 22 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317946173.\nAnswer: 317946173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7741 - 77507\/10. What is the common denominator of -59\/22 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*h + h + 37 = 0, -31 = -5*h + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - 143. Calculate the smallest common multiple of 14 + (-4 - z - 1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-19))**14\/(q**(2\/37)\/(q*(q**(-15)\/q)\/q)) assuming q is positive.\nAnswer: q**(-10436\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -17*v - 103. Determine t(-4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(126\/(-147))*360\/15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734859.\nAnswer: 7, 139, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 41. Suppose 0*z - z - r = 2*x, -5*z = 20. List the prime factors of ((-40677)\/27)\/(-7) + 6\/x.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Suppose 0*u - j*f = 3*u - 2, 2*u - 14 = 5*f. Suppose u*s - 1 - 4 = -m, 4*m = -3*s + 15. What is the smallest common multiple of 11 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -56, 2.7, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 - 5. Suppose 3*g - 2*g = l - 99, -4*g - 386 = l. Let m = 98 + g. Which is the third biggest value? (a) -2\/11 (b) x (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2 - 305*i + 1576?\nAnswer: -2*i - 305","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -439*j*n**2 - 4*n**2 - 114*n wrt j.\nAnswer: -439*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y + 2. Let s be x(4). Let d = s - 2. Solve -5*f - 9 = -3*j, -2*j = -d*f + 3*j - 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16804 is divided by 4191?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 165 - 112. Suppose -46 + k = -g. Which is greater: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from svusseissvescssusvcs.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 - 434*p + 5019. Calculate i(-228).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -13*b - 5. Let v = 5 + -3. Let y(c) = 4*c**2 - 1 - 2*c + c - 2*c**v. Let q(h) = -h**2 + h - 1. Give b*q(a) - y(a).\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41903.\nAnswer: 41903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/39 (b) -2\/11 (c) -2.65 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - 7*q - 13*q)*(-5 + 0 + 3 + 0 - 2 + 0 + 1 - 4 + 2 + (1 + 4 - 3)*(2 - 1 + 0)) - 3*q - 4*q - 2*q to v*q + m and give v.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 1887*d + 1856*d - 3795*d)*(-2 + 2 - 1).\nAnswer: 52*d + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - (1 + -3 - -1). Suppose -2*q + 6*q = -2*f + 12, 50 = 5*f + u*q. Calculate the smallest common multiple of 60\/f - 6\/21 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -111631?\nAnswer: -111633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4842*h**2*v - 368*h**2 - 2*h*v + 424*h - v - 1647 wrt h?\nAnswer: -9684*v - 736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1931\/4, -1\/2, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {a: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(539)*-4)**2 + sqrt(539) - (-4 + (0 + sqrt(11))**2)*-1) + 5.\nAnswer: 7*sqrt(11) + 8636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 - -99. Let w = 7 - 3. Let j = -6 + 3. What is the second smallest value in h, w, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -23*b + 509. Let g(l) = 13*l - 256. Let c(x) = 5*g(x) + 2*u(x). Let a be c(16). Calculate the highest common factor of 798 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1968959, -1968815, -1968671, -1968527?\n\"Answer: 144*k - 1969103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1 + 2 + 1. Let g be 1\/((h\/(-1))\/18). What is the common denominator of -68\/3 and 4\/g + 1436\/144?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 20567676 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 24, -45, -1\/4, -0.4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hqyyyqmqtytqtyoyyyht. What is prob of sequence yo?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16 + -16)\/(1 + -2 + 0). Suppose y = -0*z - 3*z + 9. Solve 2 = 4*a + 2*b + 8, 0 = 3*a - z*b - 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 2\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5.7. Let k be 4\/(-20)*(-5)\/2. Is u at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677*0.066.\nAnswer: -44.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4823591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17601*n**2 + 11*n - 30. Let i be k(5). Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -25*k**2 - 8. Let l(z) = 8*z**2. Give l(x(i)).\nAnswer: 5000*i**4 + 3200*i**2 + 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183*-423.145.\nAnswer: -77435.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22664 - 22675. Let w = 6 - 4. Suppose 3*r + w = -1. Which is the nearest to r? (a) -4 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f*i**2 + 202*f*i*v**2 - 14*f*i*v - 15*f*v**2 + 20*i**3*v**2 + 64*i**3*v - 80*i**2*v wrt v.\nAnswer: 404*f*i - 30*f + 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*b**4 - 3*b**3 - 1163*b wrt b.\nAnswer: -48*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336367 is divided by 630?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 9:02 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -0.5, -0.02, 39, 493\/3, 0.1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*v**3 - 4*v**4 + 2*v**4 + 2*v**3)*(705 + 41*v - 705).\nAnswer: -82*v**5 + 697*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -139\/524206 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2033 and 856?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 155 - -121008?\nAnswer: 121164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.05 and -19.\nAnswer: -21.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(35)\/sqrt(5)))\/(1*sqrt(20)\/sqrt(5)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112016, -224124, -336232, -448340?\n\"Answer: -112108*v + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-3))\/(-26*70\/(-3120))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 88. Let k be 1*((-86)\/(-2))\/1. Let j = a + k. Solve -x = 2*x - j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4 (b) -1 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*f**4 - f**2 - 15*f**4 - 5*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16095 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*m - 46*m - 18450. What is m rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*x - 2112 = 21048, 0 = -2*x - 10. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1506*b**3 + 4*b**2 + 2*b. Let d(s) = -7530*s**3 - 21*s**2 - 11*s - 1. What is -2*d(c) - 11*u(c)?\nAnswer: -1506*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.15, 0.12, -34?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262610 rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296394*z - 154 = 296548*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a46 + 341?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -378 - -3049\/8. Let r(y) be the first derivative of -y**2 + 0*y + z*y**4 + 21 + 0*y**3. Factor r(u).\nAnswer: u*(5*u - 2)*(5*u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -272?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 27. Calculate h(-12).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.0481 (b) -2.1 (c) -4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -12 - (-2 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 654 - 642. Suppose -146*n + 140*n + q = 0. Let d(f) = -4*f**3 - 2*f**2 - 3. Let p(c) = c**3 + c**2 + 1. What is n*p(b) + d(b)?\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 30, 23, -4, -57, -142, -265, -432?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/6*15516\/(-12930)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/(-6) - (-1)\/2. Let k = -12 + 12. Sort 1, w, k in decreasing order.\nAnswer: 1, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2040 = -374*x + 192*x + 212*x for x.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-161)\/(-28))\/((-1)\/(-696))?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 9. Let r(s) = 12*s. Let w be r(1). Suppose -4*f - 120 = -w*f. Solve f = -3*l, 3 = -c*b - l - 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*c + 5*q, -6*c + 2*c - 5*q = -37. What is the tens digit of (34 - 7)*11\/c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 + 56.4. Which is the third smallest value? (a) y (b) -11 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -14. Put 3, y, -5 in ascending order.\nAnswer: y, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 - 36 + 8)*(6*d**3 + 0*d**3 + 6*d**3)*(3*d - 2*d - 2*d + (-3 + 3 + 1)*(-2*d + 4*d + 0*d)) as n*d**2 + s*d + q*d**3 + z*d**4 + j and give z.\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1856*n + 9244*n + 978*n + 3240*n - 1 + 8847*n as p*n + c and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n*q - 1923*n - q**2 + 439*q wrt q.\nAnswer: 3*n - 2*q + 439","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -134854 + 134854 + 20*k. Let v(l) = 7*l. What is 5*m(y) - 14*v(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c6 (base 13) in base 15?\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v + 0 + 13\/2*v**2 - 1\/2*v**4 - v**3.\nAnswer: -v*(v - 2)*(v - 1)*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 1, s: 5, e: 8, n: 1}. What is prob of picking 1 e and 1 n?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 38*i**2 - 111*i - 67. Let n be w(31). What is the highest common factor of n and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*t - 5 + 38*t + 31*t + t - t - 2*t + (-t + 4 - 4)*(-1 + 1 - 2) + t + 0*t + 0*t to the form w*t + a and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z*z\/(z**(1\/9)\/z))**(-14\/5) assuming z is positive.\nAnswer: z**(-427\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(5 + 0 - 3)*(-4*j**2 - 8*j**2 - 3*j**2).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (500\/6)\/(176\/(-6204)*3\/(-60))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.03 rounded to zero dps?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/1*-9 - -2. Let o(n) = n**2 - 4*n - 3. Let m(k) be the second derivative of -k**2 - 1\/2*k**3 + 1\/12*k**4 + 0 - 2*k. Determine j*m(l) + 5*o(l).\nAnswer: -2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p + 278. Is 7 a factor of l(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 11:02 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 837361920 a multiple of 2351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625756*l - 542493*l - 7710*l.\nAnswer: -1175959*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - 10) + (-768 - -777).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -50 and -30686618?\nAnswer: 30686568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 996970.8 meters to millimeters.\nAnswer: 996970800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 12*l**2 - l + 1. Let y be t(1). Let b(z) = 52*z. Let o be b(3). Let s = o - 96. Calculate the highest common factor of s and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(288) - (sqrt(288) + 1*sqrt(288) - sqrt(288)))\/(sqrt(12)\/sqrt(48)) + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69018, -138038, -207060, -276084?\nAnswer: -345110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -71135820 divided by -5081130\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/33)*p)\/p)\/((p*p**2*p)\/p))**(3\/7) assuming p is positive.\nAnswer: p**(-100\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 8 + 32*k - 6 to the form l + j*k and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26336, -105162, -236556, -420512, -657024, -946086, -1287692, -1681836?\nAnswer: -2128512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 2140259.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6 - 8 - 53*d**2 + 14. Let x(z) = -z. Calculate x(s(h)).\nAnswer: 53*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 148598 by 13.\nAnswer: 148598\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 10*t + 2 - 8*t. Let z be 2\/3 + 56\/(-12). What is p(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7169*u - 222215. What is m(31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - 7\/4. Let f(q) be the third derivative of q**6\/120 + q**5\/30 + q**4\/8 + 50*q**2 + 1. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 1043928*g**3 - 181629900924*g**2 + 10533505011223160*g + 31602149730964014.\nAnswer: -2*(g - 173989)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4 + 14964*t**3 - 14002560*t**2 + 13987600*t = 0.\nAnswer: 0, 1, 1870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -855, -2012, -3621, -5676?\nAnswer: -8171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9*8.84\nAnswer: -79.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2299) + -1.\nAnswer: 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -18*m**3 - 7*m**2 + 6. Let d be b(-5). Let h(p) = p**3 + 20*p**2 + 8*p + 25. Let q be h(-12). Let a = d - q. Round a to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*v**5 - 31233*v**4 - 52110*v**3 + 104100*v**2 + 208296*v + 83328 = 0. What is v?\nAnswer: -2, -1, -2\/3, 2, 3472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-k + 1 - 1)*(2 + 1 - 5) + (-4*k - 3 + 3)*(6 - 3 + 0) to the form y*k + m and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 21. Let g = -41\/6 + d. What is the smallest value in 2, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/a**4 assuming a is positive.\nAnswer: a**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65670 (base 9) in base 11?\nAnswer: 2a800","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 18 - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 3*u - 5. Let a be n(-5). Suppose -k - 19 = -a*z + 19, 0 = -z - 5*k - 8. Suppose -4*s + 19 - z = 0. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/8)\/(1\/(-4)). Suppose m = 5*a - 8. Suppose h = -2*h - w + 12, -2*w = -3*h + a. Solve h*n + 1 = 2*b, -5*b - 13 = -2*n + 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/3 + 577*x**2 + 55754*x\/3 - 158480 = 0.\nAnswer: -1698, -40, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-576)\/(-120))\/(7\/5) + -4.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12161744 to the nearest integer?\nAnswer: 3487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3*b - 27. Let w be r(14). Let j = w + 60. List the prime factors of j.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:07 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850406 a multiple of 561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 72*k. Let n(h) = 4*h**2 + 73*h - 1. Calculate -2*n(z) + 3*x(z).\nAnswer: z**2 + 70*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 568 - 564. Is -1.1 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*r + 2327 + 1754, -r = -5*s + 6813. Suppose 4*h - 508 = -5*g + s, -5*g + 2*h + 1847 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*u + 6 = 0, -u = -5*h - 4*u - 14. Is (12\/2)\/(h\/2062*-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 11:36 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42616 and 20?\nAnswer: 213080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -6*j + 1. Let x(d) = -d**2 + 4*d - 1. Let u be x(3). Suppose -20 = u*t - 7*t. Suppose t = 4*a - 0. Calculate m(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -368, -377, -384, -389?\nAnswer: -392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 3*d. Suppose d = b + 2*b. Solve -18\/7*a**2 - 2*a**3 + b - 4\/7*a = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:10 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 444952, 444966, 444980, 444994?\nAnswer: 445008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 826916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 2209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49370 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55095 by -5.\nAnswer: 11019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 369683188?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1567\/4, -3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6\/11))**(-6\/19)\/(m**(1\/8)\/m**(-10)))**26 assuming m is positive.\nAnswer: m**(-230685\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 4*l = -20, -l + 147390 - 147398 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-8 - (-7)\/(-7)*0).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + d**3 + 0 + 687*d**2 - 2*d + 2.\nAnswer: d**3 + 687*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 10 - (-2 - -1). Let x = 118 - 118. What is the nearest to x in y, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 21*s**3 + 30*s**2.\nAnswer: 3*s**2*(s - 5)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6050611.\nAnswer: 7, 31, 27883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 18*q - 95. Let a be p(6). What is the derivative of -a*x + 78*x + 3*x + 21 wrt x?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 134 (base 6) to base 9.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163992501 to the nearest integer?\nAnswer: 12806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/2 + 0)*(-56)\/(-10). Is x != 55\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 - -58. What is the nearest to -0.2 in -0.2, s, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -7*t**4\/4 - t**2 + t - 33. What is k(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k**2 + 5*k. Give m(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/19 - 6084340*o\/19 - 6084338\/19.\nAnswer: -2*(o + 1)*(o + 3042169)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*i**4 - 195170*i**3 + 136536*i**2 + 66338*i - 7804 = 0. Calculate i.\nAnswer: -2\/5, 1\/10, 1, 1951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 961.6993 to the nearest ten.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 245\nAnswer: -4\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990848.\nAnswer: 2, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24 times -2\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -942 - -1492. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3515 (base 6) to base 4\nAnswer: 31013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*q**2 + 24*q**2 - 16*q**2 + 0*q**2 + (3 + 2 - 3)*(-6*q**2 + 5*q**2 + 3*q**2).\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 11)*1\/(-3). Let z(o) = -o + 2*o - 2*o**g + o**2. Let t(h) = h**3 - 6*h**2 + 7*h. Suppose 22*m - 9*m = -78. Calculate m*z(l) + t(l).\nAnswer: l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -321 or 3381?\nAnswer: -321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -22. Suppose 0 = w*x - 4*j + 848, 2*x + j + 0*j = -558. What is x rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*u**2 + 4*u**2 + 2*u**2)*(-21 - 7*u + 0*u + 4*u) to the form b*u**3 + j*u + i + a*u**2 and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 5*d + 4. Calculate the remainder when 51 is divided by m(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/3? (a) -1 (b) -3\/19 (c) -0.5 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, w: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, 1 q, and 1 o when four letters picked without replacement from oomxqocmo?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/((-10)\/(-4)) - (-18800)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 6*s**2 + 2*s - 9. Suppose 0 = n - 3*n + 12. Let x be o(n). Suppose 17 + 1 = x*f. Calculate the remainder when 11 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2)*(148 - 25*b - 148 + (2 - 3 + 2)*(-5 + 6*b + 2*b - 7*b)).\nAnswer: -24*b - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80973 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 2\/75*k**6 + 4\/5*k**3 - 62*k + 0*k**2 + 0*k**5 - 7\/15*k**4 + 0. Factor x(q).\nAnswer: 4*q*(q - 2)*(q - 1)*(q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 5 - 2*v + 9*v to the form m + z*v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1352126 to the power of 1\/2, to the nearest integer?\nAnswer: 1163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 400*w - 2393. Let v be t(6). Let r be ((-4)\/(-168))\/((-1)\/4). Which is the smallest value? (a) r (b) -0.3 (c) 4 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 19. Let h(j) be the third derivative of 0 + 0*j**5 - 2*j**2 + 1\/24*j**4 - 1\/120*j**6 + 0*j + b*j**3. Factor h(c).\nAnswer: -c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1302 and 4650.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 o when four letters picked without replacement from {u: 2, l: 6, o: 2, a: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, 7, 58, 151, 292, 487, 742?\n\"Answer: l**3 + 12*l**2 - 28*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 4*s**2 + 3*s. Let f be t(3). Suppose 5*g = -f*g + 25. Solve 7*q - 2*q + g*p + 15 = 0, 4*q = -2*p - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-6) + 316\/(-24). Do -13 and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 810 = 11*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**21*k*k\/(k**(-1\/31)*k*k)*k*(k\/k**(1\/26))\/(k\/k**(-12)) assuming k is positive.\nAnswer: k**(8055\/806)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 269 - -25?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (123291\/(-206))\/171*2*54\/(-14)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -163\/3286?\nAnswer: -163\/3286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + p**2 - 2*p + 2. Let l be f(2). Let y = 14 - 28. Is y at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*h + 366*h - n + 33 = 0, -2*h = -5*n - 11. Solve 12*y = 14*y + h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-1 + 3 - 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 191?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v**0\/v)*v**(-2\/9)\/v**(-1))\/(((v*v**(2\/5))\/v*v*v**(-2))\/((v*v**6\/v)\/(v**(-1\/2)\/v))) assuming v is positive.\nAnswer: v**(709\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a + 13. Calculate n(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 + 3*l + 0 - 2 - 5 + l**3 + 5*l**2. Let x be g(-4). What are the prime factors of (162\/12)\/((-1)\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 225*x**2. Let b(j) = 5*j**2. Calculate b(d(v)).\nAnswer: 253125*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 16.4. Let n = 2.4 + h. Which is the biggest value? (a) -4 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 61 = -41. Suppose q*s = -2*p + 30, 4*p - 8 = -20. Solve -4*y + 2*u - s = 0, 4*y - 2 + 5 = -u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 33?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 12 - 0. Suppose -2 + u = j. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 19*k**2 + 283*k + 8. Let g(q) = 13*q**2 + 190*q + 5. Give 11*g(y) - 7*r(y).\nAnswer: 10*y**2 + 109*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9103 or 0.0984?\nAnswer: 0.0984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-24 - 3) - (27 + 1).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a day?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-5)*13\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((2\/32)\/(30\/120))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -118. Let j(g) = -43. Let t(b) = 11*j(b) - 4*x(b). Let i(h) = -h - 3. Calculate i(w) - 4*t(w).\nAnswer: -w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8562 or -207?\nAnswer: 8562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1 (b) -0.5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1803 - 2785. Round h to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30146 (base 10) to base 11\nAnswer: 20716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15550 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/91 in -1\/4, -3\/8, 0.01, -0.5, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - (-20)\/(-6))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31856737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (56*-7 - 2). Suppose -2*u = 3*r - 65, -2*u - 8*r = -3*r - 71. What is the greatest common factor of u and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3554*a**4 - a**3 + a + 26053?\nAnswer: 42648*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, y: 8, i: 1, q: 8, u: 2}. What is prob of sequence yiu?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -7778899829075 and -0.4.\nAnswer: -7778899829075.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 232*t**3 + 4125*t**4 + 1123*t**2 - 2*t**6 + 9548*t**2 - 232*t**3 wrt t?\nAnswer: -240*t**3 + 99000*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 274 and -0.1.\nAnswer: -27.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**4\/24 + c**3\/3 + c**2. Let a = 8 - 3. Determine l(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12229 and -2194788?\nAnswer: 2182559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 2*s + 10, 0 = 2*u - 3*s - 11. Let j(l) = -405*l - 2430. Let d be j(-6). Sort d, 5, -3, u in ascending order.\nAnswer: -3, d, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -4*v - 29, 2*v + 9 = 4*w - 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1227599 is divided by 90.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 532? (a) -5 (b) 2 (c) 5\/33 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3854234 less than -0.0255?\nAnswer: -3854234.0255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 - (13 - 19) - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -4*b - 159. Let x(m) = -4*m - 6. What is the remainder when b is divided by x(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -550?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -17, -102.\nAnswer: -102, -17, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1313388*l**2*n**3 + 16*l**2*n - 2588*l*n**2 + 4*l*n wrt n?\nAnswer: 7880328*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - 1) + (-513 - 3). Let a be 4\/3 - j\/24. Solve 3*l + 8 = a for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -718745\/2 - -359373. Suppose -1\/2*i**5 + 3\/2*i**4 + 3\/2 - 3*i**2 + i**3 - m*i = 0. Calculate i.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68)\/18 - (-19 - -15)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13228 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -397216.42 to the nearest one thousand.\nAnswer: -397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/48 - 1403\/(-3). Suppose -3*l = -k + 121 - 14, 2*l = -5*k + x. Let z = 45 + k. Calculate the greatest common factor of z and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t**3 - 6*t**2 - 11*t - 5614. Let q(g) = 14*g**3 - 30*g**2 - 53*g - 28056. Let y(s) = -11*a(s) + 2*q(s). What is the first derivative of y(n) wrt n?\nAnswer: -15*n**2 + 12*n + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*m + 5, g - 3*m + 3 = 3*g. Suppose 2 = 5*r - 3. Solve g = x - 4 - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1051, 3954, 8679, 15196, 23475, 33486, 45199?\n\"Answer: -5*y**3 + 941*y**2 + 115*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/15 + 366*w\/5 + 5940.\nAnswer: 2*(w + 99)*(w + 450)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6342 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 1 + 4 + 2*i**2 + 2*i**2 wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 13*m**2 - 12*m + 1. Let h be y(-12). Let s = 109\/4 - 53\/2. Is h < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-57 - 1)) + (84 - (-17 + 100)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/12 + 7*o**3\/6 - 4*o**2 + 5*o. Let r be b(6). Sort r, -0.1, 1\/5 in decreasing order.\nAnswer: 1\/5, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5087716724 - 5.\nAnswer: 5087716719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 z, and 1 m when three letters picked without replacement from {z: 3, i: 2, t: 1, m: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12801*h = 12532*h - 1076 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 924, 3662, 8214, 14580, 22760?\nAnswer: 32754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h**2 + 5*h - 3*h + h**3 + 0*h - 9. Let i be g(6). Suppose -4 = l + y, 0*l - 4*y - 13 = i*l. Is l bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/16 + 81\/216. Solve -r*j + 33 = -13*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802 a factor of 5190544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**3\/3 - y**2\/2 + y + 466. Let v(g) = -6*g + 9*g + 0*g - g**2 - 2*g. Calculate -a(i) + 2*v(i).\nAnswer: -i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/6)\/(20\/30). Let j(d) = d**2 + 5*d - 3. What is j(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**3 + 2*f**2 - f + 1. Calculate t(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66246434087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1\/240*u**5 + 0*u + 3\/8*u**3 + 2 + 1\/16*u**4 + 4*u**2. Let j(c) be the second derivative of z(c). Let j(w) = 0. Calculate w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -1) + (-13 - (-10 - (34 + -23))) - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1134.9 + 1134.8989062. What is h rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -8 - -1 - 0) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 + -123 + -6 - 23.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**5\/5 - 6*w**4 - 20*w**3.\nAnswer: -2*w**3*(w + 5)*(w + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 12. What is the least common multiple of 37\/2 - (-1)\/(-2) and 3\/4 - 170\/s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4 - (8 - 9225\/1090). Which is smaller: -1\/3 or v?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-45)\/16 + 0\/6 and -51\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8247433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/(546\/(-49)))\/((-3220)\/180)?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 183522*n + 734092. Determine x(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*y**3 + 2 + 258*y**3 + 111*y - y**5 - y**5 wrt y.\nAnswer: -40*y**3 + 246*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8756*q**3 - 7880 wrt q?\nAnswer: 26268*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0. Let r = 61.9 - 62. Sort r, a, 0.2 in decreasing order.\nAnswer: 0.2, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-85)\/(-221) - (-3036)\/(-52)).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 - i**3 + 0*i**3 + 385 - 789 + 404.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 73201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2865*2\/(-12)*(2 - 0). Suppose 0 = 3*v + h - 311 - 255, -5*v = 4*h - t. Is v <= 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.142399 weeks?\nAnswer: 21595.38192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) 2 (c) -0.67891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b. Let g(f) = -f**2 - f - 1. Let r(y) = -y**2 + 6*y - 1. Let p be r(6). Let a(t) = -23*t**2 - 6*t - 6. Let q(v) = p*a(v) + 6*g(v). Calculate q(l(k)).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1160266\/63 + 18412. Let s = -36\/7 - d. Put -0.4, -0.35, s in decreasing order.\nAnswer: s, -0.35, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (31 - (-8 + 13)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3 + 611*v. Let z(b) = -b. Let l(r) = 5*r**2 + 2*r. Let m(o) = l(o) + 2*z(o). Determine p(m(u)).\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from hdghbdhcbhbhbhbbh?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1853, 1861, 1881, 1919, 1981?\nAnswer: 2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 2*c**3 + c**2 - 7*c**3 + 0*c**2 + 3*c to u*c**3 + s + b*c**2 + m*c and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 54 - 9. Calculate the remainder when (0 + v)\/(12\/(-200)) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + n**2 + n**3 + 2*n**5 + (-3*n**5 + 3*n**5 + n**5)*(4 + 2 - 2).\nAnswer: 6*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*t - 5*t + 3*t)*(0*t**3 - t**3 + 0*t**3) to the form h*t + o*t**3 + s + w*t**4 + d*t**2 and give w.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 - (-11564)\/(-49))*(6\/(-2))\/3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a4c4 (base 16) in base 8?\nAnswer: 522304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 7 + a**2 - 1 + 0*a**2. Let u be b(6). Solve -c + u = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbliiihxl. Give prob of picking 1 l and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1152))\/((sqrt(256) - -1*sqrt(256)) + sqrt(4))*-2.\nAnswer: 48*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -76662 - 42497. Let o = t - 1080841. What is o rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3103*a**4 + 2783 - 9087 + 9746*a**4 wrt a?\nAnswer: 51396*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -71*l + 67*l + s, 4*l + 76*s = -284 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-357)\/126)\/((-4)\/24). Suppose -h - 3 = -5. Solve -h*m = 5*x - o, 0*x = -x - 5*m - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -r**4 + 171*r**3 + 519*r**2 + 521*r + 174 = 0.\nAnswer: -1, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -33. Let n be (-30)\/(-24) - (-6)\/y. Suppose d + 4 = 0, k + n*d = -0*d + 27392. What is k rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2805424 - 113.457022?\nAnswer: -2805537.457022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*a*i**2 + 204*a*i*t**3 - 61*a*t**3 + a - 3*i**3*t + 13796*i**2*t**3 - 3*i*t - i - t**2 wrt i?\nAnswer: 38*a - 18*i*t + 27592*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36208299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -7600*g - 129214. Give s(-17).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -127 + 111. Is 4\/s*-71*(0 - -20) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-456)*-19 - -102. Calculate the highest common factor of 872 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 - (-2)\/2. Suppose w*s = -3*s - 3, 0 = k + 4*s - 5. Let h = k - 17. Which is greater: h or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 28*u**2 + 54*u - 177. What is q(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/((-42)\/35))\/(7\/28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.63329 times 5?\nAnswer: 48.16645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002968998734 to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -93316.3 - -93316. Let v = -13 + 16.9. Let y = v - 4. Which is the closest to y? (a) 1\/7 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let m be i(-2). Let b be m\/((64\/(-20) + 3)\/1). Let z(k) = k**2 + 8*k + 2. Let l be z(-9). Solve 5*c = b, 5*g + 0*g - c - l = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23 - (3\/3 + 0). What is the remainder when 15 is divided by 143\/y - (-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 11\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 265 - 208. What is the first derivative of 34*a - 100 - k*a + 28*a wrt a?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 12872836?\nAnswer: 12872836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7338807 and 1463.\nAnswer: 80726877","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 2*q**2 - 3*q + 4. Let x be k(3). Solve -d + 10 = -3*f, -5*d = f + x*f - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -142, -217, -292, -367, -442?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 724 - 722. What is the closest to -3\/5 in -3\/5, f, 3\/2, 27?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, p: 3, h: 3}. Give prob of sequence jp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) -0.4 (c) 1\/3 (d) -582.8047 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -132*a + 397*a - 134*a - 132*a - 877*a**2 to the form d*a + c*a**2 + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/478 and -23\/141.\nAnswer: 67398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25934 + -25929. Let q(l) be the third derivative of 0*l**b + 0*l**3 + 1\/24*l**4 + 2\/15*l**6 + 8*l**2 + 0*l + 0. Give q(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39442630 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxfv when four letters picked without replacement from {v: 1, d: 6, f: 3, g: 4, x: 1, c: 4}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -5. Let p be (0 + f)*(-13)\/(-1). What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 15.9. Let a = 18 + m. Let j = -1 - -1.2. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278720 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28876 divided by 4727?\nAnswer: 28876\/4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 0.2.\nAnswer: -0.2, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870094 and 281501?\nAnswer: 9571034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (0 - 0) - (-10 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -67217 and 36.\nAnswer: -67181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 - 4*g - 2. Let p be y(5). List the prime factors of (-1456)\/(-22) + 4\/p.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10268662, -10268660, -10268658?\nAnswer: -10268656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2615624 and 0.2.\nAnswer: 2615624.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*z - 20 = 0, 2*j - 14*z + 19*z = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 + j**2 + 316336*j**3 - 316328*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 254 (b) -0.2 (c) -0.1 (d) -138 (e) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m - m + 5*m)*(-203 + 71 - 201) - 3*m + 3*m - m to the form o*m + k and give o.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70 - -65. Is (-6)\/(-8) - h\/(60\/2523) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -22. Calculate the remainder when d is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.2 (b) 16\/9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 472*o = 470*o - 8, 2*f - 8 = -4*o for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q + 31. Give r(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*c + 248*c**4 - 62*c - 3*c**3 - 124*c**4 - 135*c**4 wrt c?\nAnswer: -132*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 17243?\nAnswer: -17246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*k + 710 = -15*k + 41*k. Let b(h) = 190*h - 944. What is b(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + sqrt(49) + -3*sqrt(49))*-1)\/sqrt(7) + 5 - 3*sqrt(1008)*-3*1.\nAnswer: 5 + 109*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (-947 - -973).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2259, -2258, -2257?\n\"Answer: p - 2260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 9) to base 7.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2750*z + 28782 = -814*z + 1262*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 6 = 34. Suppose 3*g - 5 = -5*p + r, -p + 2 = 5*g. Find the third derivative of o**2 + 0*o**6 - 15*o**p - 8*o**6 wrt o.\nAnswer: -960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5087*p - 71226. Determine a(-14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*k**4 - 2*k**3 - 12*k**2 + 6889?\nAnswer: 32*k**3 - 6*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1497160 = -28*g - 3023661 + 17689809. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.15 + 0.29. Let y = -1.86 - a. What is the third biggest value in 1\/7, 2\/13, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-129055)\/(-28) + (-5)\/(-20). Let u = c - 4612. What is the common denominator of 29\/4 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 331 - 321 = 0 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26162.4 + 26162. Sort -5, 4, q, 0.3, -50 in descending order.\nAnswer: 4, 0.3, q, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -9. Let h be (b\/3 + -5 + 6)*6. Factor -132*y**3 - h*y + 134*y**3 + 5 - 5.\nAnswer: 2*y*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 772339681*w**5 - 49429850748*w**4 + 790882947844*w**3 - 113832192*w**2 + 4096*w.\nAnswer: w*(w - 32)**2*(27791*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x. Let j be z(-2). Let u = 14.9 + -15. What is the closest to -1 in u, j, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: Let p = -41 + 46. Solve 5*h + 16 = n, 3*h + 3*n + n = -p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*i + 180, i + i + 923 = 5*c. Suppose 5*a - 78 = -t, a + 5*t - 6*t = 24. What is the remainder when c is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -3) + (-7 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 26. Suppose -r - c*t = 3*r - 3, 3*t + 24 = 5*r. Factor 99 - 44*n + 12*n**r + 2*n**4 - 123 + 2*n**4 - 12*n**2.\nAnswer: 4*(n - 2)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11681)\/5 + (0 + -15)\/(-75). Let t = -1259 - b. List the prime factors of t.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325 is divided by 246.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44\/195 + -1\/39. Let q be (-145)\/126 + (-6)\/12. Let r = q + 11\/9. Put -1, r, x in decreasing order.\nAnswer: x, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q + 14. Let j be v(11). Suppose -5*a = -5*z + j, -2*a = 3 - 9. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268583281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2920772\/11 at least -265524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**3 - 1593 + 2*r**3 + 1593 - 6*r**2 + 20*r**2 as v*r**3 + d*r + f*r**2 + y and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6734668323 + -6734668896.9999378. Let n = r + 574. What is n rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 130*o**2 - 258*o**2 + 127*o**2 - 12*o**3 + 1. Let c = 29 + -20. Suppose 4 = 5*f + c. What is w(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 14*k + 27. Let m be g(-14). Calculate the greatest common divisor of 297 and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -78533\nAnswer: 78531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55\/143756 or 0?\nAnswer: 55\/143756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/((-1)\/(-60)). Let b = 3 + 1. Suppose -b*a + o = a. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2) - 12\/(-10). Let j = 96\/245 - -2\/245. What is the nearest to j in 4, 3\/8, w?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3158685 to the power of 1\/2, to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122653 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 6. Give f(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n**2. Let v be 4 + -4 - (-12 - -17). Let p(h) = 4*h**2. What is v*f(i) + 8*p(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2202*c = 1101*c + 1099*c - 256. Is c > -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/12*42\/(-4). Let l = k - 14. Solve l*q + 2*b + 6 = -q, 3*b = -4*q - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 2:27 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1231 + -143604?\nAnswer: -145135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-1\/12) assuming k is positive.\nAnswer: k**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(208) - sqrt(13))*-1)**2 - (sqrt(13) + (sqrt(325) + -1)**2 - (sqrt(13) - (sqrt(13) + sqrt(13)*2)*5)).\nAnswer: -5*sqrt(13) + 2599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -m + 279, 2*f = -f - 3*m + 198. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17*64\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 428. Let x(i) = 3*i - 321. Let s(c) = 3*q(c) - 4*x(c). Let p(a) = -5*a + 249. Give p(s(n)).\nAnswer: 15*n + 249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 divided by -4?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27\/3)\/((-12)\/(-9) + -1). Calculate the highest common divisor of 108 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 550347.\nAnswer: -2\/550347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*w - w = -155, 79 = a - 2*w. What is the highest common divisor of a and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 6 = 4*o. Let c = o - 1. Suppose -2344 = -136*n - 450*n. Solve 5 - c = n*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from lllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by -39432?\nAnswer: -3\/1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -834\/23 - -8489\/184. Calculate the common denominator of -125\/18 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.3 + 1.3. Let x = 233 + -232.907. Let z = -0.007 - x. Which is the closest to z? (a) 3 (b) p (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6 (b) -13 (c) -0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2160 - -3111. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 666075 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 32\/40*((-34)\/44 + 1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3744*m - 2428*m = -59220 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 3 + 0)*(-3*k + 4*k + k) + 2*k + 0*k - 3*k + (-1 - 2 + 4)*(2*k - 21 + 21))*(3 - 13*k - 8*k + 18*k) to the form v + s*k + f*k**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1238 is divided by 250.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 528\/2508*1*1\/(-2). Which is bigger: 25\/4 or r?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3669 - 3107. Solve v - 558 = 4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2. Let o be (-3)\/((-6)\/(-4) + -3). Determine c(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s = -26*s + 798. Calculate the remainder when 232 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/117 and 44\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -40635.8249 rounded to the nearest 10?\nAnswer: -40640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-24))\/((-258)\/2064).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghagaghxaha. Give prob of picking 1 g and 1 a.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (1 - (3 + 3)) - 6 - (123 - 120)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 971\/(-1) - (-371)\/53. Let u = a + 1548. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 50.8. Let s = q - 7.2. Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 440 = 3*z + 1691, z + 697 = -4*r. Let n = 1888 + z. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*-6*sqrt(136)*2)\/((sqrt(8) - -6*sqrt(24)\/sqrt(3)) + (sqrt(8) - (-1*sqrt(32))\/sqrt(4)))*-4)**2.\nAnswer: 4397\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, c: 1, d: 4, x: 4, k: 1}. Give prob of sequence ky.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 23419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 5*w**2 - 2*w**2)*((2 - 4 + 5)*(-3*w - w + 2*w) + (0 + 3 - 2)*(0*w - 2*w + 0*w)).\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4 - 1)*30. Let p(a) be the second derivative of -a**3\/3 + 15*a**2 + 8*a + 8. Let i be p(q). Solve i*x = x + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/5 (b) 4 (c) 5 (d) 25 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 4.6. Put 3, 1, a in ascending order.\nAnswer: a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 24 - 4 = 0. Let d = -379 + 379. Suppose 9*h - 57 + 21 = d. Solve -h = z*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6338 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 3*n + 2. Let z be s(3). Let u be 0 - -1*(z + 1). Let m be ((-3)\/(-6))\/(u\/(-30)). Which is the third biggest value? (a) -1 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2688)\/54 - 11 - (-2)\/(-9). Is -54 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -31213 + 31213 + n**3 - n**2. Let i(k) = -7*k**3 + 7*k**2 - 1. What is -5*h(x) - i(x)?\nAnswer: 2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((0 - -1)\/1). Let a(y) = 15*y + 13. Let o(t) = 6 + 5*t - t + 3*t. Let j(l) = 6*a(l) - 13*o(l). Let z(c) = -2*c - 2. Determine x*j(f) - z(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249259, -249266, -249273, -249280, -249287, -249294?\nAnswer: -249301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86 and 275071?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + k + 12, -2*m + m = 3*k. Suppose -2*h + 6*h - 132 = 0. Calculate the least common multiple of m and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 17*w + 5)*(-2 + w + 2) - 4 - w**2 + 4.\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 746568, 746670, 746776, 746892, 747024, 747178, 747360?\n\"Answer: l**3 - 4*l**2 + 107*l + 746464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l + 2*f - 26, -l = 4*f - 22. Solve l = -3*a + 3*r - 0, -4*a = -2*r + 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 50*k**2 + 1864*k - 90367. Calculate i(53).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q. Let j(b) = -b - 59 + 17 + 19 + 25. Let u(y) = y - 3. Let a(l) = l**2 - 3. Let p be a(0). Let c(g) = p*j(g) - 2*u(g). What is n(c(w))?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 2*i + 3898 = 0, -a - 3*i = a - 3893. Suppose k + 3*k + 1164 = 3*u, 4*k + a = 5*u. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -1424)*(-23)\/23. Let z = -42057182\/29491 - 171\/4213. Let p = r - z. Calculate the common denominator of -13\/6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(720) + -2 + sqrt(720) + 5)*-6 + 3 + -5*(sqrt(720) + sqrt(720)*2 - sqrt(720)) + 3)**2 + 0)*-1.\nAnswer: -348624 - 6336*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014459 to seven decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6003)\/(-54) + 15\/18. What is the greatest common divisor of 280 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 123 - 5 - (-26)\/13. Suppose f*x = 129*x - 60570. Round x to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*o + 76511 = -35860 + 12852 for o.\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233184*i - 3542 = -233338*i for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4141 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 2*y + 2. Let g be (-105)\/91 - (-6)\/39. Let u be 6*g*2\/(-6). Let n(d) = -9*d**2 + 3*d + 5. Calculate u*n(s) - 5*h(s).\nAnswer: 2*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 84.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 651278779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -211, -178?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 - 62. Let p(d) = -20*d**2 + 32*d + 32. Let f(r) = 3*r**2 - 5*r - 5. Give g*f(t) - 5*p(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 2*p - 4. Let o(i) = -i**2 - 15*i + 6. Let r be o(-15). Let a be 2\/r - 32\/6. Let x(s) = -7*s**2 + 2*s - 5. What is a*x(k) + 6*u(k)?\nAnswer: -k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*-1 - (-234)\/30. Let r = t + -79\/30. Suppose 25 = -5*n - q, -3*q = -2*n + q + 12. What is the third smallest value in n, 0.5, r, -11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2 - 3. Let u(o) = -1. Let m(w) = 3*w**2 + 2*w + 4. Let j(y) = m(y) + 5*u(y). Let c(q) = q**2 + q. What is x*j(l) - 4*c(l)?\nAnswer: -l**2 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -25*i**2 + 162*i + 10641. Determine q(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 8:28 PM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 6*q + 21. Let f be w(-8). Suppose -4*o - o + 15 = 0. Let 2*n**2 + 21*n**5 - n**o + 7*n**3 - 19*n**f + 6*n**4 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**5\/15 + 7*n**3\/3 + 7. Let g(i) be the third derivative of l(i). Let j(y) = -y**2. Calculate j(g(x)).\nAnswer: -64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 10*f**2 + 12*f + 33. Let c be m(-9). Solve -37*i = -38*i - c for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2110 - -2110.3. What is the nearest to -0.1 in 0.5, -1.59, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2679071 - 5098604. Let c = k + 2419520.69899. Let i = -12.3 - c. What is i rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*b - 453*b = 28885 + 4635 for b.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3.72 and -134?\nAnswer: 137.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6604234 (base 11) to base 8.\nAnswer: 54202573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 10 = -64. Suppose 3974 = k*v - 32773. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 4:53 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4184 is divided by 155.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 + 91. Suppose 0 = 2*s - 14 + 10. Suppose -5*y + 5 = -2*d, 0*d + s*y = -2*d + 16. Solve -d*x - 2*h = -i, -4*h - 3 = -5*x - 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68*k**2 + 116*k - 40.\nAnswer: 4*(k + 2)*(17*k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:28 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, g: 1, t: 3, y: 2, v: 1, u: 9}. What is prob of sequence tyvb?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*n**2 + 14*n**3 - 31*n**2)*(16*n - 28*n - 13*n) to the form z + w*n + k*n**3 + c*n**2 + d*n**4 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 22. Put 1\/2, d, 2\/15 in ascending order.\nAnswer: d, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 9*n**2 - 548796*n + 3292886. What is f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 923 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108879?\nAnswer: 3, 36293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(810)*2 + sqrt(810))*-1)\/((-2*sqrt(162)*6 - sqrt(162)) + sqrt(162)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84681167 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(209)\/sqrt(1100))**2.\nAnswer: -19\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 6*q**2 - 4. Let n be o(5). Let v = -18 + n. Suppose v*d - 2*d = 5. Solve -g + 3*t = -13, -2*t + 17 = d*g - t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195381589?\nAnswer: 13, 15029353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14436)\/(-13634))\/(33\/17)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 41 = -2*y. Let m = y - -20. What is the tens digit of m + (-84)\/((-4)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2858275, -2858274, -2858273, -2858272?\nAnswer: -2858271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 307.3 (b) 13 (c) -1\/3 (d) 0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85072891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2)\/(-4*4\/8). Let u be r\/(-3) - 303\/(-63). Let h = 51\/14 - u. Put 0.2, -1\/6, 0, h in decreasing order.\nAnswer: 0.2, 0, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 449\/4 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - s**3 + (12*s - 3*s + 6*s)*(-s**2 - 2 + 2) to the form d*s**3 + j + q*s + o*s**2 and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*m + 5*y = 100*m + 32, 19 = -5*m + y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51939 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/14*7)\/(2\/10). What are the prime factors of (-2 + 3 - (s + -2)) + 80?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 30*y = -3*y - 448 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -839, -4100, -10925, -22454, -39827, -64184?\n\"Answer: -190*f**3 - 642*f**2 - 5*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 14 - 2. Suppose 3*t = 7*t - 28. Calculate the lowest common multiple of t and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 374*l**2 - 109*l + 496. Let a be w(5). Calculate the highest common factor of a and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003627 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*y + 820 - 3350 = 0. Solve -5*m = -y + 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**6\/720 - i**4\/4 - 2*i. Let r(t) be the third derivative of j(t). Let g(n) = -1. What is -g(h) + r(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 45*o - 47*o + 88*o.\nAnswer: -4*o - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*y - 0*y + 48, 3*p - 42 = 4*y. Suppose -9*i - p*i + 26379 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-22)\/(-6))\/(995\/10746).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -912, -3787, -11594, -26799, -51868, -89267, -141462?\n\"Answer: -411*b**3 + 2*b - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 12. Let t(k) = -31*k + 5. Let a be t(-1). Suppose -75 = -39*s + a*s. Calculate the greatest common divisor of s and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m - 9. Let w(z) = 24*z**2 - 105 - 12*z**2 + 37*z - 13*z**2. What is the remainder when w(26) is divided by v(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-386)\/(-322) + -1 + (-46)\/(-529)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1120*h**2 + 406*h**2 + 4313*h**2 + 4050*h**2.\nAnswer: 9889*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50*87\/2*-84. What is z rounded to the nearest 1000?\nAnswer: -183000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15788973.823 take away -78224?\nAnswer: 15867197.823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-46 + -14) + 14\/(-12) + 1. Solve -8*q - 62 + 30 = t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -1\/2*r**3 - 2*r**2 + 0 - 5\/24*r**4 + 0*r + 1\/12*r**5 + 1\/120*r**6. Does 11 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 2*h - 35. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(2*6*(-3*sqrt(2448) + 1 - sqrt(2448)) + -5) + -3))**2.\nAnswer: -184320*sqrt(17) + 90244672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5367 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 556*f**3 - 58464*f**2 + 1793012*f - 17803970.\nAnswer: 2*(f - 29)**3*(f + 365)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*i - 10. Let p = i + 7. Suppose 0*w + w + p*b = 27, 2*b - 54 = -4*w. Solve 5*o = 3 + w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, g: 3}. What is prob of sequence nnn?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, f: 6, v: 1}. What is prob of picking 2 a?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*-4*(-3)\/(-30))\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*f - f = 33538, 0 = 5*l - 3*f - 55892. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u - 7. Suppose j = 3 + 3. What is the remainder when u is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 350?\nAnswer: 16450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in -9\/13, 1, 4?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-2) - 2) + 18. Suppose r + z = 5*s, -3*r - 4*s - s - 20 = 0. Let k = -1 - r. Solve 2*u + 1 = -k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 + 33 = 0. Is z\/10 + (-333)\/(-15) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23406 at least as big as 23400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -133, -130, -127, -124?\n\"Answer: 3*p - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2142 and 1620066?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = 4. Suppose -s = -18 + v. Find the second derivative of -s*r**2 + 2*r - 5*r + 17*r**2 - 5*r**5 wrt r.\nAnswer: -100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 49559730?\nAnswer: 148679190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 11) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + -40 + 50 + 1 + (0 - -44)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33876 - 14?\nAnswer: 33862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 7*3\/(-2 + -1). Solve c*d - 2*d = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, j: 2, u: 1, x: 1, o: 3, q: 1}. What is prob of picking 2 j and 1 q?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/3, -8783, -2\/3?\nAnswer: -8783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -17. Solve q = -0*w - w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*p + 45*p + 17402. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -1 (c) -5 (d) -4 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 117. Sort r, 3, -8 in increasing order.\nAnswer: -8, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102014*z**6 - 2*z**2 - 13*z + 702.\nAnswer: -12241680*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1518424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 11*t**2 + 4. Let p be y(11). Solve -p*k = -2*k - 2*l + 4, 0 = -3*k + 4*l - 11 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (70 - 49)) + (-23 - 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 5*d - 4. Let h(c) = c**3 + 3*c**2 - 3*c - 3. Let p be h(-3). Let k be q(p). Let v = k + 4. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 640 and 10316848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482 + 27 - 4*k + 4*k + 3*k)*(3 - 1 - 3 + (-1 + 6 - 3)*(4 + 1 + 0)).\nAnswer: 27*k - 4095","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 - -47. Let i = 1 - 4. List the prime factors of q - i*(-1)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = s - 37 + 9, 3 = 3*o. Calculate the greatest common divisor of 4225 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**3\/7 - 91730*y**2\/7 + 91739*y\/7 + 183466\/7 = 0.\nAnswer: -91733\/3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -13.9. Which is smaller: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*o - 1307 + 3640 = -1554 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 1960?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -19)\/((9\/((-27)\/12))\/6)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(150\/445) + 1\/3. Calculate the greatest common factor of m and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (2 - 1 - 2) - 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**3 + 0*x**2)*(0 + 1 + 16 + (2 - 7 + 0)*(0 + 2 + 2)).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -16*n**2 + 386*n - 53. Give a(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103097550883 + -277?\nAnswer: 103097550606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6)*((n*n**(-5))\/n)\/n*(n**(1\/2))**(12\/11) assuming n is positive.\nAnswer: n**(-126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.41 - 0.51. What is the closest to -1\/2 in t, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3\/2, 76 in descending order.\nAnswer: 76, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003445 rounded to 5 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/31)\/i**(-1\/3))\/(i*i**(-1\/4))**(-18))**(-4\/9) assuming i is positive.\nAnswer: i**(-5122\/837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) - (-258)\/54. Let d = 0 + p. Suppose 0 = -d*f - 4*r + 75, -4 = -5*f + r + 96. Calculate the remainder when f is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 4. Let q be ((-2)\/3)\/((-4)\/1433). Let f = q - 239. What is the closest to 0.2 in b, -2\/5, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12824 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11, 44, -7, 2 in descending order.\nAnswer: 44, 11, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 649 divided by 10154\nAnswer: 649\/10154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292 + 862. Suppose 6*l - 492 = r. Calculate the remainder when l is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 + 3*a**2 - 8*a - 9. Suppose 35 = -6*y + y. Let v be s(y). Let o(l) = 11*l. What is o(v)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8353 = -4*t, 4*p - t - 3116 = 3551. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -32, -11799 in decreasing order.\nAnswer: -2\/17, -32, -11799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -36. Let t = -7 - h. Suppose -13 = t*u - 53. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504210?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3, 2\/29, -0.02, -2\/5.\nAnswer: -3, -1\/2, -2\/5, -0.02, 2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-261)\/24*(-15828)\/18)\/((-1)\/(-4)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:04 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3550.7 rounded to the nearest ten?\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20085226 divided by 61\nAnswer: -329266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmjmmmjm.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*1\/(-6)*(-100)\/100?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(2\/5)\/l*l*l))\/(((l\/(l*l\/(l\/l**(-3\/4))))\/l*l)\/l))\/(l**0)**13)\/((l*l**(-4))**(-30))**(-43) assuming l is positive.\nAnswer: l**(77377\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -26*j - 2. Let n be u(1). Let o = -11209\/636 + -20\/159. Find the common denominator of o and 50\/n - (3 + -6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1041200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -b + 2, 7*w - 2*w - 10 = -2*b. Which is bigger: b or 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a - 5*d - 12, -3*d = -5*a + 14. Let b = 123.9 + -124. What is the closest to a in -4, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**6\/120 - 5*u**4\/24 - 5*u**3\/6 - 56*u**2. Let h(v) = -2*v - 2. Determine -15*h(q) + 6*l(q).\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 - 3*u**2 - u - 1. Let w be y(-2). Let z be 4\/(-18) - (-173)\/w*-3. What is the greatest common factor of 95 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 831 + (-34)\/34. Suppose 3*q + 16 = h. Suppose -2*x - 2*y = -178, 6*x - q = 3*x - y. What is the remainder when x is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15270 divided by -5?\nAnswer: -3054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 0, 6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -249 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71151978?\nAnswer: 2, 3, 761, 15583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 29*k - 5. Let l(b) = 14*b**2 + 87*b - 14. Determine -11*h(r) + 4*l(r).\nAnswer: r**2 + 29*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, o: 1, c: 1, m: 1, a: 1}. Give prob of sequence kc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*1)\/((-73)\/((-21024)\/528))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p = -2*p - 39. Let m be 2 - ((0 - p) + 3). Solve 0 = 4*c - m - 14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from itttiitt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*42\/(-45)*-5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1591 + 1582. Let j = -8 + 12. Let q be (j\/6)\/((-2)\/l). Solve -5*s - 30 = 2*w, -2*w - 26 = q*s + s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 7. Let k be o(5). Suppose 0*l = -3*t - k*l + 4, 3*t = -l + 5. Put t, 4, -1 in ascending order.\nAnswer: -1, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1905637?\nAnswer: 167, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -88331*p*v - 229743*p wrt v.\nAnswer: -88331*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {d: 2, p: 1, r: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*b - 26 = -16, 3*i - 3*b = 15 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 320680 divided by 45\nAnswer: 64136\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.2 (b) 20 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -154*w**2 + 3. Let k(b) = 466*b**2 - 7. What is 3*k(x) + 8*u(x)?\nAnswer: 166*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a centimeter in micrometers?\nAnswer: 31250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(19) - (-1 + sqrt(2736) - sqrt(2736)) - (3 + sqrt(19) + 2) - -1*(sqrt(19) - sqrt(95)\/(sqrt(5)*-4))) + -2))**2 + 0.\nAnswer: -375*sqrt(19) + 26275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*t + 11, 4*t + 1 = 3*q - 0. Suppose j + q = -0. What is the remainder when 23 is divided by -8*((-2)\/(-1) + j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42579 or 42580?\nAnswer: 42580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1550445 - 35?\nAnswer: 1550410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1487 - 43388?\nAnswer: -41801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-6 - ((-21 - -10) + -26))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k - 9*k + 0*k. Let w(v) be the first derivative of -v**4\/12 - 199*v + 185. Let y(d) be the first derivative of w(d). What is p(y(a))?\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -183, -749, -1697, -3021, -4715, -6773, -9189, -11957?\n\"Answer: l**3 - 197*l**2 + 18*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 660555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/2, 0.5, 7\/3, -3\/18104, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -219 + 230. Is 14 a factor of 1\/(-4) - p\/(352\/(-18792))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 11. What is the third smallest value in 5, f, -3\/8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 10:43 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.5, -1.2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v = 4*q - 95, 5*v - 115 = -3*q. Let l be 45\/q - 2\/(-4). Solve 1 = a + l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31924 by -2.\nAnswer: -15962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86420\/3 + -28807. What is the smallest value in 4, 0.62, x, 11, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -4, -1, -0.4, 1 in descending order.\nAnswer: 1, -0.4, -1, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3108*u - 12 = 3104*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 411485077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*w = 13, 6 = 3*w - 3. Find the common denominator of (-2345)\/28*v\/(-40) and 107\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 16*h = -11*h + 573364. List the prime factors of h.\nAnswer: 83, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -185893.7*8.\nAnswer: -1487149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07155 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 469*i**2 + 1083*i**2 + 1392*i**2 in the form x*i + c*i**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17*91\/(-663) - 10\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 502*h - 12552. Determine p(25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/20 + 5*u**4\/12 + u**3 + 2*u**2 + 2*u. Let k be n(6). Suppose -k*p + 112 = -8. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 18178951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 - -30. What is the third derivative of -4*x**2 + 8*x**6 + c*x**6 + x**2 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -344, -502, -660, -818?\nAnswer: -976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 536 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4052 - 1172. Suppose -x = 2*x - u. Let o be 1\/(-3) + x\/(-24). Let b(j) = j + 7. What is b(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 967, 1967, 2959, 3931, 4871, 5767, 6607, 7379?\n\"Answer: -2*q**3 + 8*q**2 + 990*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 1312?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-28) + 67\/4. Suppose 2*b + o = -0*h + h, 0 = -4*h + 2*b + 38. Suppose -u = 2*u - 3. What is the greatest common divisor of u and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 - 4*o**3 + 0*o**3 + (-3 - 2 + 4)*(4*o**3 - o**3 - 4*o**3) + 3*o**2 - 3*o**2 + o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**4 + 46*b**3 - 26*b**2 - 622*b - 552 = 0.\nAnswer: -23, -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1686458?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + f + 19 = 0, 5*m - f - 20 = -4*f. Suppose 2*o - 11 = m. Let y = -6 + o. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141.13124 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20049 - 79745\/4. Let p = j - 112. Let g = 2.7 - 3. Put 3, 4, g, p in increasing order.\nAnswer: g, p, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5701.999998084 + -5702. Round k to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 8 = -3*a, -12 = 4*s - a - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + 1 + -28 + 18)*(-4)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 186010*l**2 - 13211681*l - 13025670.\nAnswer: (l - 186081)*(l + 1)*(l + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923012584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 0. Let c = s + -34. List the prime factors of 3\/(c\/(-22))*-6*6.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.2 - 8. Let h = -4 + 7. Let l = 0.15 - 5.15. Which is the closest to 0.1? (a) i (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33617 - -60026. Let g(m) = 3*m**2 + a*m**3 + 25073*m**3 - 2 + 53*m - 49*m + 1. Let h be g(-3). Round h to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 6 = -5*q + 2*v, 0 = q + 3*v. What is the remainder when 63 is divided by (q - 2)*363\/66?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h\/(h**(-2\/5)*h)))**(-29))**(-39) assuming h is positive.\nAnswer: h**(14703\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2033 - -2032.7486. What is q rounded to 2 decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*f**4 + 0*f**2 + f**2 + 42*f**4 - 83*f**4 - 30*f**3 in the form s*f**4 + a*f**2 + b*f + o*f**3 + m and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45576 is divided by 1424.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52080, 104136, 156192?\n\"Answer: 52056*u + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8381 is divided by 1040.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*j - 15 - 5, 0 = 5*q. Sort 1, -7, -2, j.\nAnswer: -7, j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -7, -24, -41, -58, -75?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -29, -36, -47?\n\"Answer: -2*t**2 + 3*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -27*i + 3*i**2 - 87 + 23 + 9*i**2 - 5*i**2. Let j(t) = 8*t**2 - 28*t - 65. Let b(g) = 7*c(g) - 6*j(g). Does 12 divide b(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 134 = -4*w - w + 4*y, -4 = 2*y for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -128305.773 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379403 is divided by 128.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12007 and 3.\nAnswer: 12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {p: 11, q: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 + (-6)\/(-1). Let c = 229 - 93. Suppose -z*i + c = -2*i. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122 - 4240\/(-30) - 2\/3 - 20\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -55, -56, -57, -58?\n\"Answer: -s - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 47*p**2 + 29*p + 196. What is n(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4\/8 - 1029*m**3\/8 + 118737*m**2\/8 - 573939*m\/8 + 340605\/4 = 0.\nAnswer: -435, 2, 3, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -22730000 to the nearest 100000.\nAnswer: -22700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 13*a**2 - a + 9. Let z be x(13). Let j be (-63)\/135 - z\/(-30). Let r = -1 - -0.9. Do j and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 4*s**2 + 2*s**2)*(-4*s + 9*s - 1 + 10) in the form m + n*s + f*s**3 + q*s**2 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -23. Let l = -0.1 - 0.9. Let v = 1 + l. Sort 1, v, b in descending order.\nAnswer: 1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvttt. What is prob of sequence tvv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348262*c - 696560*c + 348294*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -527 + 2109\/4. Which is the fourth smallest value? (a) 1\/5 (b) k (c) -0.5 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 144.204.\nAnswer: 142.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8028*x - 353220. What is d(-44)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2\/3 - 7*o\/3 - 2.\nAnswer: -(o + 1)*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*19.91.\nAnswer: 159.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-12))\/5)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -34, 4, -3, 37 in ascending order.\nAnswer: -34, -3, 4, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2517*k**3 + 5*k - 3223. Let p(f) = 2519*f**3 - 6*f + 3233. Let b(s) = 5*p(s) + 6*z(s). Find the first derivative of b(h) wrt h.\nAnswer: -7521*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 46.\nAnswer: -6, -4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29213439 is divided by 464.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121203?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 666?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*l = 0, 8 = -0*u - 4*u - 4*l. Let c be 4 - 1 - (1 + u). Suppose 0*r + 148 = 5*r - 2*a, -c*r + 68 = 4*a. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 4. Let o(c) = 1. Determine a(m) + 2*o(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001011000101010011000 (base 2) to base 11.\nAnswer: -3835791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 57*j**4 - 4*j**3 - 4*j**2 + 7. Let d(z) = 56*z**4 - 3*z**3 - 3*z**2 + 8. Let y(n) = 4*d(n) - 3*m(n). What is the derivative of y(x) wrt x?\nAnswer: 212*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4\/3 + 79300*k**3\/3 - 237910*k**2\/3 - 79300*k\/3 + 79303 = 0. Calculate k.\nAnswer: -79303, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19776148 - 19559918 = -14*h. Suppose h = -y - 1380281. Round y to the nearest one hundred thousand.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0 + 1\/12*u**4 - 86*u - 7\/6*u**3 + 3*u**2. What is l(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 9*k = -6*k - 16, 4*k - 58 = -5*v. Solve -7*r + 3 = v for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4788 and 117268?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.36 + -73.34. Let v = 62.063 + -0.063. Let y = f + v. What is y rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*3\/9 - -1) + 6. Solve p = 2*m - 3*n, -18 = -4*m + n + n for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzmzzmz. Give prob of sequence zmzm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 2)*(-306)\/12?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 78985 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1844*q - 1717.\nAnswer: 1844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:06 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (202\/(3 - 1))\/(36\/2736)?\nAnswer: 2, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:08 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 - 145 = -20*r. Suppose 0 = -r*o - 11 + 81. Let d(u) = 3*u - 6. Let v be d(7). Solve 0 = o*l - 2*l - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.08 - 1.68. Which is the closest to 1? (a) 1\/3 (b) 11 (c) 1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 + 57\/3 + -2. Calculate the greatest common factor of 1194 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2116266*u*x + 369390*x - 2 wrt u.\nAnswer: -2116266*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/4 + ((-210)\/(-8))\/(-35)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 20. Suppose b*t - 3*g = 108, 0*t + 2*t = 4*g + 32. Is (-2)\/((t\/36)\/(14\/(-6))) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.20212239 to 2 decimal places.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (525\/(-1425)*-19)\/(42\/(-222))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) -332 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106758 divided by 9.\nAnswer: -11862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 1 = -v. Let i = 10 + v. Calculate the remainder when 1 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 - 28*l**2 + l - 14*l**2 + 2*l**2 to y + u*l + f*l**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -93, -0.252?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4019005, 8037780, 12056555, 16075330, 20094105?\n\"Answer: 4018775*j + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 3*y**2 - 1. Suppose -315 + 351 = 12*i. Determine h(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*d**5 + 13*d**2 + 2 wrt d?\nAnswer: -900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 16*s + 57. Let a be y(-11). Suppose a*t + 4 = -3*u - 2, -t = -3*u + 3. Solve -10*v + 6*v = u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let w(a) = -9*a + 3. Determine w(g(p)).\nAnswer: -27*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -17*u**3\/6 - u**2 + 27*u. Calculate the remainder when j(-11) is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 10*o**3 + 23*o**2 - 69*o + 66. What is the hundreds digit of t(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 12:45 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Let w(p) = 3*p + 89. Let d be w(-13). Let z be b\/(-18) - d\/(-12). Sort 2, -5, z.\nAnswer: -5, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/4)\/(j*j**3))\/(j**(3\/5))**(-49) assuming j is positive.\nAnswer: j**(483\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 40 = -4*n, 4*n - 2*l - 20 = 2*n. What is the least common multiple of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)\/(q*q**(-10\/11))*q*q\/(q*q*q\/(q\/(q**20*q))*q)*q**(22\/9) assuming q is positive.\nAnswer: q**(-2638\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, -4, -10\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 180\/144 - (-1464)\/(-1120)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/2 (c) -1\/6 (d) -259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -32*t + 48. Let q be l(-11). Suppose 8*x + q = 10*x. Suppose 0 = -17*f + 18*f - x. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 48. Let f = 19 - i. Let x(n) = -9*n**2 - 5*n**2 - 2*n**2 + f*n**2. Let d(b) = 2*b**2. Determine d(x(j)).\nAnswer: 242*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**4 - 81*y**3 + 360*y**2 - 372*y = 0. What is y?\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 + -171. Let n be (-4)\/p*(-6)\/8. Solve -n*z + z + r + 12 = 0, -r - 17 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11132 (base 5) in base 6?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370*y**2 - 565*y + y**3 + 565*y)*(5*y**2 - 4*y**2 - 7*y**2).\nAnswer: -6*y**5 + 2220*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7731 - -7756. Let f be (32\/6)\/(4\/150). What is the highest common factor of d and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 less than -214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -367, -741, -1115?\nAnswer: -1489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490487?\nAnswer: 73, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26960*s**2 + 26960*s**2 + 11*s**3 + 15*s**3.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13920*r**2*t**3 + 6*r*t - t**3 + 4*t**2 + 7*t wrt r.\nAnswer: 27840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j**3 + 897 - 34*j**4 - 2*j - 16*j**3 + 35*j**4 + 4*j**3 in the form r + s*j**3 + l*j**4 + g*j**2 + p*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11434, -11416, -11378, -11314, -11218, -11084, -10906, -10678?\n\"Answer: m**3 + 4*m**2 - m - 11438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31\/2, 6, -2, -5, -2\/5 in ascending order.\nAnswer: -31\/2, -5, -2, -2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 3*g + 28 - 3*g + 4*g.\nAnswer: 2*g + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22851229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1061?\nAnswer: 4244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -63 from -85.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0956556 - -0.09603. Round u to five decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/3 - (-4 + 1)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 7:22 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1 (c) 5 (d) 0 (e) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c2a (base 14) to base 2.\nAnswer: -1010000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4332.7 - 3206. What is u rounded to the nearest 10?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -75179759.8239 - -75197584. Let q = -17823 + i. Let t = q + -1.2. Round t to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/14 and (-172)\/13 - (-15 + 6)?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1017642 is divided by 164.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-9)*c**(-5\/3)*c)\/((c*c**(2\/7))\/(((((c\/(c*c**5))\/c)\/c*c)\/c)\/c)))\/((((c*(c**0*c)\/c*c)\/c)\/c)**(-29))**13 assuming c is positive.\nAnswer: c**(-377\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/106 and -19\/10.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 354.999915 + -355. What is x rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(30) - (sqrt(480) + sqrt(480)*-2 + sqrt(480)))\/(-2*sqrt(486) - sqrt(6)) - ((sqrt(80)*-1)**2*1 + -1))*-2.\nAnswer: 2*sqrt(5)\/19 + 158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnu when three letters picked without replacement from {a: 4, u: 5, n: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 31\/5 of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxmxxkxmxxdz. Give prob of picking 1 z and 1 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 45375.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k**(4\/5)*k))\/k)\/k)\/k*k\/k**(-3\/7))**(-39) assuming k is positive.\nAnswer: k**(3237\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0411 - -0.1589. Which is the nearest to -0.4? (a) -0.3 (b) y (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 (base 11) in base 15?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1961, -0.06, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 833 divide 3314068009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2\/(4\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l - 2*l)*(4 - 3 + 0) - 14 + 14 + 42*l - 8*l + 0*l + 5*l.\nAnswer: 37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-2)\/(-32)*(4 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 2*k**2 + k - 2. Let m be p(2). Suppose 8 = b - 2*s, b + m*b - s = 4. Suppose b = -h + 11 + 7. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -4, 283408, 5, -2 in descending order.\nAnswer: 283408, 8, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(630)*4)\/(sqrt(3200)\/sqrt(5)) + -5.\nAnswer: -5 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -174\/607 - -212896\/289539. Let q = -2\/477 + d. Sort 0.4, 0.3, q.\nAnswer: 0.3, 0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 o when four letters picked without replacement from foojnofojnffjooonon?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -53*y**3 + 12033*y**2 - 455*y + 240. Calculate m(227).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxxhhocctttopo. What is prob of picking 1 h, 1 t, and 2 c?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 72*c = 62*c - 1817 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 190 = -53*q + 31, -5*q - 2*x + 11 + 23 = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.19579ug in tonnes?\nAnswer: 0.00000000001619579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (sqrt(80) + -2 + sqrt(80) + (sqrt(80) + 0 - sqrt(80)) + sqrt(80) + 0)*-2) + 5)*-3*4.\nAnswer: -864*sqrt(5) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, k: 2, h: 2, l: 1}. Give prob of sequence hqk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 478?\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5510657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 25*i**2 - 25*i - 19. Let q be v(26). Solve q*z - 2*z = 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.3 (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 24. Suppose 12*n - b*n = 102. Let i = 37 - n. What is the remainder when 8 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3*x - 4*d**3 + 100*d**2*x - 3*d**2 + 17*d*x - 97*d + 11*x + 2 wrt d?\nAnswer: 6*d*x - 24*d + 200*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/4 - 40893*t\/4 + 691713.\nAnswer: 3*(t - 13563)*(t - 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + 23 + 18 - 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60264 and 590643.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1539*g = -3105*g + 1435*g + 13941 - 1889 for g.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Collect the terms in c + 2*c + 3*c + 4*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 512*p + 1037. What is l(-2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15921130 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 4*l**2 - 6*l**3)*(6 + 3*l - 6).\nAnswer: -18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, 0.2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iixhhiv. Give prob of sequence ivi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5146*f*k**2*r**3 + 43069*f*k*r**2 - 16583*f*r - k**2 - 1871*r wrt r?\nAnswer: -30876*f*k**2*r + 86138*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Let l(s) = 2*s**2 - 5*s. Let g be l(b). Suppose -118*d + 117*d - 3 = 0, d = q - 39. What is the greatest common factor of g and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97618551*t**6 + 3*t**5 + 619659112*t**2?\nAnswer: 11714226120*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/7 + 1714*i\/7 - 984 = 0. What is i?\nAnswer: -861, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937781 is divided by 468878?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h**3 + 7*h**2 + 2*h + 8. Let b(l) = -15*l**3 - 15*l**2 - 5*l - 18. Let x(i) = 6*b(i) + 13*q(i). What is x(-4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-31.0785\nAnswer: 1491.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 35565*r + 391254. What is p(-11)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 7*i**2 - 4*i - 17. Let o be r(-2). Solve -15 = -o*f + 24*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y - 14*y + 1286*y**3 + 27*y - 375*y**3 + 591*y**3.\nAnswer: 1502*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**2 + 3*s**4 - 14*s**4 + 6*s**2 wrt s.\nAnswer: -264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.182, 2113 in decreasing order.\nAnswer: 2113, -0.182, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 135 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.02 - 0.02. Suppose 23 = -6*g + 35. Suppose 0 = g*u + 8*u + 50. Sort j, u, -2, 0.4 in descending order.\nAnswer: j, 0.4, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssmsssssssssss. What is prob of picking 1 m and 2 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 64. Let w = s - 28. Let z = 0.3 - 0.5. Put z, w, -0.1 in decreasing order.\nAnswer: -0.1, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 132.9 and 0.588?\nAnswer: 132.312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 415280*i**3 - 415280*i**3 - 2575 - 471*i**4 with respect to i.\nAnswer: -1884*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t - 13. Let i be m(13). List the prime factors of i + -31 - -6*107.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by 18?\nAnswer: -205\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**4 + 3 - 3 + 2*u**4 + 0*u**4 - u**4 + (3*u**2 - u**2 - u**2)*(-3 - 2*u**2 + 3))*((2*u - 1 + 1)*(2 + 3 - 3) + 2*u - 4*u + 5*u).\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 3*j. Sort 4\/7, j, -2\/9 in increasing order.\nAnswer: -2\/9, 4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1478180 and 9020.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/5 - 14*y**3 + 216*y**2\/5 - 218*y\/5 + 73\/5 = 0. What is y?\nAnswer: -73, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 59, 1, -213, -3 in ascending order.\nAnswer: -213, -3, 0, 1, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/5 + 543*z**3\/5 + 4476*z**2\/5 + 11292*z\/5 + 9072\/5 = 0.\nAnswer: -4, -2, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5)*j)\/j**(2\/15))**(-29)*((j\/(j**8*j))\/(j*j**9))**(2\/117) assuming j is positive.\nAnswer: j**(-2699\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*s**5 + 315517*s**3 + s + 307135 wrt s.\nAnswer: -860*s**3 + 1893102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3 = 5*t, 0 = 4*t - 2*b + 3 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -778 + 797. Let v(m) = 0*m - 59 - m + 39 + o. Let n(b) = 2*b**2 + 2*b + 2. What is 4*n(j) + 8*v(j)?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (45\/(-15))\/(3 + 744\/(-244)). Let z(b) = -2 - 4 + 19*b + 21*b + 22*b - g*b. Give z(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, i: 9, d: 7}. Give prob of picking 1 r and 3 d.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-three quarters of a microgram?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**2 - 2*k + 20. Let x(f) be the first derivative of 5*f**3\/3 + 3*f**2\/2 - 21*f + 1609. Calculate 3*d(i) + 2*x(i).\nAnswer: -2*i**2 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2410 - -2413. Solve -5*j + s*j + u = -9, 5*j = -5*u + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-7\/5)*j*j\/(j\/(j*j*j**(-2\/23))))\/(j**(-2\/29)\/(j\/j**(-8))) assuming j is positive.\nAnswer: j**(35291\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55508 divided by 5.\nAnswer: -55508\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 15 - 41) + 20 + 122\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - m = -3*m + 303, -3*m = 2*s - 207. Suppose 3*i - i = u + 55, -3*i + u = -80. What is the remainder when s is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(441) - -1*sqrt(441))*-2)\/((sqrt(7)*-4 - sqrt(7))*-6))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, b: 7}. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -141?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30179303.29601286328 + 15.70685713672. Let k = -30178745 + f. Let t = 574 - k. What is t rounded to 4 decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/9? (a) -1 (b) 3\/2 (c) 1\/6 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3295 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 36*f**2 - 505*f + 27. Give t(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 0.321.\nAnswer: 0.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195.15 + 3.15. Let d = p + 196. Sort d, 0.2, -2, 6 in decreasing order.\nAnswer: 6, d, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.1 + -27.1000764. Round t to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/8)*(o*o**(-2)\/o)\/o)**(2\/25) assuming o is positive.\nAnswer: o**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4928, -10425, -15922, -21419?\n\"Answer: -5497*y + 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10110001000010?\nAnswer: -10110001000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(2\/23))\/((j**4*j)\/(j\/(j**(-3\/4)*j*j))) assuming j is positive.\nAnswer: j**(-767\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31067764 by -2314.\nAnswer: 13426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2132899 + 2.6\nAnswer: 2132901.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190) - 1*sqrt(190)) + sqrt(190))*2 + sqrt(190))\/(sqrt(10)*2*1) - 4*(sqrt(2299) + -1 - (sqrt(19) - (sqrt(19) + 1*sqrt(684) + sqrt(19)))**2).\nAnswer: -85*sqrt(19)\/2 + 3728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2828?\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(-6))\/(-1)*(-24)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 - w + w)*(2 - 3 + 0) + 4*w**3 - w**3 + 5*w**3 + 0*w**3 - 2 + 2*w**3 - 4*w**3.\nAnswer: 8*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - b - b)*(-5175 + 23*b**4 + 5175) + 0*b + b**5 + 0*b.\nAnswer: -45*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208317*d*k + 814*k + 97 wrt d?\nAnswer: -208317*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201938 is divided by 33626?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1520304 and 36480?\nAnswer: 60812160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088 - 1088 + 285067501*w - 285067499*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a, 5*a + 10 = -w + 2. What is the remainder when 1 + (-27)\/w + 24129\/84 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4735 in 5, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130055987 rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 82122444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/17 - 76*o**3\/17 - 294*o**2\/17 + 11824*o\/17 + 66304\/17 = 0. What is o?\nAnswer: -8, -7, 16, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/(q**(-2\/3)\/q))**(-20)*q**3*q**(-3\/2)*q**(-3)*q\/q**(1\/11) assuming q is positive.\nAnswer: q**(-10159\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 40029 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1649 is divided by 86?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/((-19)\/171). Let d(q) = 3*q**3 - 11*q**2 - 9*q - 5. Let j(y) = -3*y**3 + 12*y**2 + 9*y + 6. Let r(p) = n*d(p) + 5*j(p). Factor r(f).\nAnswer: 3*f*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 16*h + 3. Let w be t(-16). Find the third derivative of -5*k**2 - 6*k**3 - 6*k**w + 15*k**3 - 12*k**3 wrt k.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.242, 1\/56, -2\/9, -4 in descending order.\nAnswer: 5, 1\/56, -2\/9, -0.242, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 3:01 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16720013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -1139766386.3274.\nAnswer: -1139766385.8274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-326209.\nAnswer: 1304836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.4 + -0.6. Let v = 6 + z. Sort v, 4, -0.2.\nAnswer: -0.2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (-36 - -37) - -25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 64 - 59. What is the common denominator of -49 and (20\/(0 + r))\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 4, -2\/11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1442 + 14?\nAnswer: 1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + c + 6. Let p be d(-6). Suppose -l - 2*s + 23 = 5, -s - 2 = p. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69508137?\nAnswer: 3, 19, 401, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-156))\/(2085\/(-5421)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(8\/(-52)) - -1. Suppose -2*i = 2*d - 3*d, 3*i - 5*d - l = 0. What is the nearest to 14 in -1, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 7*t**4\/6 + 4*t**3\/3 + 44*t**2. List the prime factors of k(5).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvnvnvnnnsnsvvv. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:49 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -185479 at least as big as -185485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 u when two letters picked without replacement from qzqzqlzlqlqulkqq.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i - 3. Let x(n) be the third derivative of -n**5\/60 - 5*n**4\/24 + 17*n**3\/6 - n**2. Let r be x(-7). Determine o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*g - 23 + 9 + 14)*(-2*g**4 + 4*g**4 + g**4).\nAnswer: 114*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9821.00050116 - 9821. Round m to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*((-3)\/(-6) - 2). Suppose -5*o - l = n, l + 0*l + 3 = 0. Suppose 69 = 5*q - 4*d, o = -5*q - 0*d - 4*d + 61. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 6, -5, -11, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2017, 2791, 3565?\n\"Answer: 774*r + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/9 + (-119)\/(-3). Suppose 0 = 4*w - 7 - 13. What is the highest common divisor of w and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 1170.\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -32 + 18 + 11 - -3 - (32 - 0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423674975.\nAnswer: 5, 37, 458027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.084+106978401434.3\nAnswer: 106978401434.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -90 in -4, 26555, -3\/4, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 29*b - 93. What is f(7)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8030407276 to the power of 1\/3, to the nearest integer?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*s - 8 = -0*s, 4*n = 2*s + 6. Let i = 20697 - 20704. Let v = 0.9 + -0.6. Which is the smallest value? (a) v (b) n (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-77)\/88*(-4)\/14. Find v such that 3\/2*v**2 + 9\/4*v**3 + 0 + v**4 + u*v = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 10*a - 9. Let f be g(-9). Solve f = -s + 1 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 + 43556?\nAnswer: 43664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -14. Calculate the lowest common multiple of z and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2*o - 4*o + (2 - 2 - 2*o)*(3 - 1 - 4) + o + o + 3*o)*(-17*o - 252 + 252)*(-6*o + 2*o + 5*o)*(-o - o + 0*o).\nAnswer: 272*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3)\/s)\/s**(-2))\/((s\/(s\/(s\/s**(-2))))\/s*s**0) assuming s is positive.\nAnswer: s**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 6*y**2 - 12*y - 5*y**2 + y**2 as s*y + m*y**2 + l and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 9 + 0*v + 4*v + 0*v. Suppose 0*a - 5*h = a - 21, 0 = -2*a + 2*h - 18. What are the prime factors of c(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109 (base 13) to base 9.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 65*x**2 - 17. Calculate a(65).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 4:42 AM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3940, -7871, -11802, -15733, -19664?\n\"Answer: -3931*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**2 - 31*d**2 - 302*d + 259*d as m + p*d + h*d**2 and give p.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -146000 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 11:12 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -257 - -263. Calculate the remainder when 12\/8 + 177\/m + -3 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 22\/(-18)) + 0. Let k = -5.0693 + 0.0693. Let g(s) = -s**3 - s**2 - s + 4. Let j be g(0). Which is the closest to -1\/3? (a) h (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5071)\/(-4149))\/(33\/72)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w - 4*w**3 + 3*w**3 + 4*w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3663, -7335, -11013, -14697?\nAnswer: -18387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/11 - 6*b**4\/11 - 8*b**3\/11 + 24*b**2\/11 = 0. What is b?\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3*sqrt(171))**2.\nAnswer: 6156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*10\/(-6))\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/13 - 43\/221. Let s be (-288)\/(-1020) - 6\/15. Is s at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 65, -6 in decreasing order.\nAnswer: 65, 2, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.604 + 6.578792. What is q rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.7118ml to litres.\nAnswer: 0.0657118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**5\/5 - 396*x**3 + 5*x**2 + x + 310. Find the second derivative of l(c) wrt c.\nAnswer: 12*c**2 - 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-1)\/(-3))\/(2\/24). Let j be (143\/2)\/(2\/p). Calculate the greatest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 1216.582?\nAnswer: -1221.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7220 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1))\/(k*k*k\/k**(-4)))\/(k**4*((k**(-7)\/k)\/k*k)\/k))**(-21\/8) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**4 - 2304*i**3 + 451044*i**2 - 874320*i - 3571200 = 0. What is i?\nAnswer: -930, -2, 4, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29 + 54 + 9*v - 18 with respect to v.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - -2 - (-25)\/(1375\/(-132)). Let p = 223 - 227. What is the closest to -0.2 in -2\/3, p, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 - 40. Suppose u + 5*v = 47, 4*u - 4*v = -s*u + 68. Suppose 3*k = 7*k - 132. What is the greatest common divisor of k and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 4*b + 20. Let x be n(-5). Suppose -2*c = 3*w - 43, x*w + 40 = 5*w - 3*c. Solve 0 = -3*s - w - 1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)\/(sqrt(84)\/(sqrt(12)*1)) - (-5 + (sqrt(11) - (sqrt(11) - (-3 + sqrt(11)))))*-5) + -2 + -3)**2.\nAnswer: -540*sqrt(11) + 2421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.5 + 8.16. Let i = l + -1.1. Round i to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z - 11*z + 42*z - 18*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 83 and -324749906.\nAnswer: -324749823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22305 + -3?\nAnswer: 22302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 125574805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/80 - 29*b**4\/64 - 55*b**3\/4 - 206*b**2. Suppose h(q) = 0. Calculate q.\nAnswer: -11\/2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 1128482023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.136 + -1.736. Let q = -83 - -580\/7. Which is the biggest value? (a) -2 (b) 5\/4 (c) r (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860 less than 13024\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -34*m**6 + 95*m**2\/2 - 165. Find the second derivative of p(k) wrt k.\nAnswer: -4080*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*k**3 - 208*k**3 + 97*k**3.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 4*l**2 - l**4 + (l**4 + 0*l**4 - 3*l**4)*(1 - 2 + 0) - 81*l**4 + 72*l**4 - 273*l**4 - 4*l**4 + l**4 + l**4.\nAnswer: -283*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 4*m**2 - 2*m. Calculate p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b + 168 = 32*b. Solve 0*j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in -1\/2, 2\/9, 0.1, -11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -140*-5\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033427 = -16*v + 1034115 for v.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 116da + 62d?\nAnswer: 11d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1400, -1599, -1798, -1997?\n\"Answer: -199*f - 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/159, 8, 3\/7, 4, 0, 1\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55940012?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011747047 to seven decimal places.\nAnswer: 0.0001175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.083, -0.4, 2, 0.027, 2\/5?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 10089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-13)\/(-2) + (-3)\/6. Let k(o) = 3*o - 8. Let y be k(4). Differentiate 6*u**3 + 6*u**2 - x*u**2 + y wrt u.\nAnswer: 18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2\/6 - 9129*g\/2 - 191611\/3 = 0?\nAnswer: -27373, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7163385 tonnes in kilograms?\nAnswer: 716.3385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 105 + 42 + 344)*(0 + 0 + 2)*(r**5 - 3*r**5 + r**5).\nAnswer: -888*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wr when two letters picked without replacement from {r: 1, v: 1, w: 1, d: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -13, 4, 2.\nAnswer: -24, -13, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 44252.962 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3790040?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19360 - 18997. What is the remainder when t is divided by 74?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6440544*k**2 - 22759622*k?\nAnswer: 12881088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 5661*q**2 - 3*q + 5. Let h be u(2). Suppose 0 = 2*y - 2*b - 11320, -3*y + 3*b = y - h. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 6, p: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i - 5. Let k(v) = 21*v + 18. Let q(a) = -18*f(a) - 5*k(a). Let t(o) = -o. What is t(q(b))?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1915 divided by -383\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198952 or -198957?\nAnswer: -198957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -333 (base 15) to base 3\nAnswer: -222210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185055.81 times -3?\nAnswer: -3555167.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2020000 to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*t, -4*r + 68 = -3*t - 61. Let b = r + -18. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11635740577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2717*r + 401*r - 27843 - 24271 + 17816 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104726, 101834, 98940, 96044, 93146?\n\"Answer: -f**2 - 2889*f + 107616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3734411180?\nAnswer: 2, 5, 186720559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -408 divided by -1?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 86. What is the smallest common multiple of o and 1 - (4\/(-2) - 13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -223 (base 6) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, f: 2, p: 2}. What is prob of picking 2 s?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1824844 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = -11*b - 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1*(-686)\/686.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ijf when three letters picked without replacement from isiiwwiwfwscjiijf?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(5 + 1 - 4)*(2 - 2 + 1) + (6 + 0 - 4)*(5*p - 3*p - p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255485?\nAnswer: 5, 37, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + d**2 + 58. Let f be l(0). Suppose f*j - 57*j - 26 = 0. What is the smallest common multiple of j and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51308?\nAnswer: 2, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36827?\nAnswer: 7, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**2 + i**2 - 5*i**2)*(108 + 559*i - 46 - 11 - 51).\nAnswer: 559*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of 11*u**7\/42 - u**4\/6 + 11*u. Find the third derivative of v(r) wrt r.\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, d: 2, l: 2, m: 2, u: 2, y: 2}. Give prob of picking 1 d, 2 u, and 1 y.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5918774384 to the nearest integer?\nAnswer: 76934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 h when four letters picked without replacement from hhbhhhrhhhhhrh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.20527815 - 0.13358. Let t = f - 0.0717. Round t to seven decimal places.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrr. Give prob of picking 4 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let o be n(2). Suppose 2*r + 2*i = 0, r + 6*i - i = -12. Suppose -r*f = -2*u - 31, 3*u + 6*f = 2*f - 21. Is u at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.9 + 8.2. Let a = -2.08 + m. Let z = 14.02 - a. What is z rounded to zero decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/24 and -99\/1924.\nAnswer: 11544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 252*v + 4*w - 159 = 411 - 106, 4*w = -5*v + 30 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 15*k - 76. Suppose 2*o = 2*y + 780, 3*y + 1232 - 448 = 2*o. Suppose 4*r - o = 3*b + 184, 0 = -k*b + 8. Is r a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s*s**14*s)\/s)\/(s**(3\/4)*s) assuming s is positive.\nAnswer: s**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14504 and 1184.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 210*y**2 + y + 8. Is h(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -2*g**6\/3 - g**5 + 44*g**3\/3 + 55. Find the third derivative of h(p) wrt p.\nAnswer: -240*p**2 - 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 4:54 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 f when three letters picked without replacement from ufwfuwuwwwwu?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 2, w: 7}. Give prob of sequence srsw.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -5\/12*i**4 + 6*i + 0 + 0*i**2 + 0*i**3. Let v(y) = 2*y**2. Give r(v(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -636*c**3 + 292*c**3 - 316*c**3 + 889*c**2 - 335*c**3 - 2337*c**2 wrt c?\nAnswer: -5970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6*((-2695)\/(-490))\/((-2)\/12).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 + 12 + 2 + -3 + (-1 - (-13 - -22)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2332?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d + 10. What is the tens digit of j(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-3460\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-90))\/(17\/(-20))*37\/(2516\/(-306)).\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = a - 108, 2*a + a + 2*c - 376 = 0. Suppose 0 = -3*k - k - a. Let w = k - -56. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24414 + -11154. Is t a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = 1, -3*v + 2*x - 96 = 0. Let r = -1 + v. Let y be (-76)\/(-70) - (-28)\/r. Which is bigger: y or -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 108\/5, -2 in increasing order.\nAnswer: -2, -0.06, 108\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 31595*j**2. Let y(h) = -1704*h. Give l(y(z)).\nAnswer: 91739747520*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-1\/4))**(-10)*(k\/(k**0*k))**(-6\/11))\/(k**(-8)\/k**(-1\/2)*(k**(-2\/7))**(-1\/23)) assuming k is positive.\nAnswer: k**(-2417\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 8*s + 7. Let z be y(7). Suppose 5*l + a - 74 = z, 5*l = a - 7 + 83. What is the second derivative of 15 - l + 5*c + 6*c**3 wrt c?\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11738*m = 11703*m - 50 - 510 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14324 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*d + 1084 = 6364. Calculate the highest common divisor of 2222 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (95*f + 89*f - 481*f - 308*f)*(16 - 49 - 28) in the form h*f + j and give h.\nAnswer: 36905","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4 - 0, -5*y = f - 8. Suppose 0 = y*s - 8, i - 22 = -i + 2*s. Which is greater: 13 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 2. Let a(o) = 5*o + 7. Let j(z) = 2*a(z) - 9*w(z). Suppose -3*x + 162 = -5*x. Let l = x - -85. Give j(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/138 and -11\/851?\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 10*f**2 - 7*f - 2. Let j(s) = 33 + 43 - 3*s**2 - 75 + 2*s. Give -7*j(b) - 2*o(b).\nAnswer: -2*b**3 + b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.05 - 0.05. Let z = 4.44 - n. What is z rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -6359857.\nAnswer: -3\/6359857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -8. Let c = -11.5 - b. Put 2, -2\/5, c in descending order.\nAnswer: 2, c, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/5 - (-4)\/(-10). Suppose 2*k = 3*f + 513, 483 = 2*k + f + 2*f. Suppose 14*v - k = 297. What is the greatest common factor of t and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2034362 + -2?\nAnswer: 2034360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/64 and 75\/16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5443678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (25 + -6)*(6 + -4). Let b = y - -16. Calculate the smallest common multiple of 6 and b.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104324 (base 6) to base 5\nAnswer: -240024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/(-63))\/((-2)\/(-6)))\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.01, -0.04, -2\/9, 4 in increasing order.\nAnswer: -2\/9, -0.04, 0.01, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence edd when three letters picked without replacement from ddeee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/746139 and -91\/7461390.\nAnswer: 7461390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 - 2*v**2 - 2*v**2 + (3 - 3 - 1)*(-v - v + 3*v)*(97 - 97 + 8*v).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6555 less than -4643895569?\nAnswer: -4643902124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12156 and -83\/8.\nAnswer: 24312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777578, -777398, -777230, -777080, -776954, -776858?\nAnswer: -776798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4 - (-7)\/14*1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490*x - 286*x - x**2 + 657*x.\nAnswer: -x**2 + 861*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - (78 - 4) - -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 1\/70*i**7 + 0*i**3 + 0*i**4 + 0*i**6 + 0 + 1\/10*i**5 - 6*i**2 + 0*i. Find the third derivative of m(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2260\/791)\/(((-4)\/(-7))\/2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-3))\/((-2896)\/(-724)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -30. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + (4\/(-120))\/((-27)\/9495) and 13\/1356?\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3446 + -16.3528. Let t = -15 - m. What is t rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 129663*i**3*n + 211*i**3 + 13*i**2 - 20*i*n - 992*n wrt i?\nAnswer: 777978*n + 1266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2 = 0, 5*v - 4*s = v + 1548. Calculate the common denominator of (-23)\/8 + (0 - (-3)\/1) and (-1)\/((-40)\/v)*-1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**5\/10 - 1073*x**4\/4 - 1074*x**3 - 3223*x**2\/2 - 2149*x\/2 + 2468. Factor d(s).\nAnswer: (s - 2149)*(s + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*u - 5*z + 4, 5*u - 3*z + 9 = 0. Suppose 31 = 2*k - 5*i, 3*k - 3*i + 10 - 43 = u. Calculate the common denominator of -22\/9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**3 + 2*l**2 - 2*l + 2. Let p(q) = q**3 + q**2 - q + 1. What is 2*p(v) - u(v)?\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28885 - -44285. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(102)\/sqrt(6) + 2)*-6.\nAnswer: -6*sqrt(17) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13773295 divided by 2754659?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*z + z + 3*z)*(-1 + 1 - z) + z**2 - 1 + 1 + (0*z - z + 0*z)*(-3*z - 2*z + 3*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 70333446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8584 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 - z**4\/12 + z**3\/6 - z**2\/2 + 7*z. Let p(w) = 3*w**2 - 6*w + 3. Let r(h) = 3*g(h) + p(h). Let r(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -17*h + 17. Let v(i) = 8*i - 8. Determine -6*a(g) - 13*v(g).\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 10 - 3*q + 7 + 3*q - 2*q - 3*q - 6*q + 3*q + 2*q + (5 + 1 - 4)*(0*q + q + q).\nAnswer: -2*q + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6594401 minus 133906?\nAnswer: 6460495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 36. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 4926 + 1062 = 0. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -57*w + 2624. What is b(46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o**2)*(2*o - 6*o - 3*o) - 2 - 1 - 6*o**3 + 2.\nAnswer: -13*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3495 and 0.887?\nAnswer: 3100.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1548249 to the nearest integer?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(95)*-2 + sqrt(95))*2*-1)\/(-4*(sqrt(5) - sqrt(540)\/sqrt(12) - -4*(sqrt(5)*-2 - sqrt(5)))).\nAnswer: -3*sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34583*s**5 - 4*s**4 + 457905*s.\nAnswer: 691660*s**3 - 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-128)*12\/(-150)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 26*l - 203. Suppose l*p - 9532 = 6127. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 258064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33 - 22 - 16\/4. Solve -3 - r = -2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 7*q**2 + 2*q - 13. Let l be x(7). Is 5\/16 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6915 - 3457 - 3462 + 16*y + 36*y**3.\nAnswer: 36*y**3 + 16*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 18. Let j = 0.0677 - 9.0877. Let f = h + j. What is f rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-157)\/(-32))\/(-1) - (-287 - (-34686)\/123)?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:59 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 2*y + 1\/3*y**3 - 5*y**2 + 3\/8*y**4 + 0. Let d(k) = 3 + 2 + 4*k - 4. Determine 7*d(j) - 3*i(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -5*x + 58. Calculate w(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 369 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - 9\/20. Suppose 4 + 6 = 5*j. Suppose 2*r = 4 - j. What is the closest to r in 0, -0.3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 31 = -5. Calculate the highest common factor of d and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -47159*i*o*x + o*x - 25*o + x + 24 wrt i.\nAnswer: -47159*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/115 and 91\/6585130?\nAnswer: 6585130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 21.16, -0.657 in increasing order.\nAnswer: -0.657, -2\/9, 21.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-2)\/((-4)\/(-6)). Suppose -z + 2*m + 1 = 0, z + 5*m + 4 = 2*m. Let y = z - q. Let d(i) = -2*i - 2. Determine d(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009 times 17?\nAnswer: 0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5*r**3 + 3 + 4*r**3)*(8 + 7 + 3)*(-2 + 3 + 2) to l*r**3 + m*r**2 + v + g*r and give v.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, 1 v, and 1 p when four letters picked without replacement from {v: 1, l: 1, o: 3, p: 5, n: 5}.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 527086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 11 = -388*d + 387*d + 14*x, 10 + 10 = 3*d + 2*x for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w + 1. What is the units digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*z + 23*z = -1044 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -154*b - 151*b - 2*b**4 + b + (5*b**2 - 6*b + 6*b)*(b - b - 2*b**2) + 2*b**4 + 3*b**4 - 4*b**4 as q*b + r*b**4 + p*b**3 + s*b**2 + d and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1087 is divided by 1072?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 - 2*k**3 + k**2 - 12 + 4*k**2 + 9 - 3*k. Let s(u) = -4*u**3 + 4*u**2 - 2*u - 2. What is -3*s(m) + 2*v(m)?\nAnswer: 2*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*s**3 + 161 + 650*s**3 - 1031*s**3.\nAnswer: -2*s**3 + 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.046 times 8.67?\nAnswer: -0.39882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/5 + 367508*d**2\/5 - 6753033001*d - 13506360010 = 0. Calculate d.\nAnswer: -2, 183755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -36, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cnnnnnnnnnnc. Give prob of sequence ccn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*c = -8 - 13, -4*y = -c + 13. Let i(r) = -5*r + 4. Let q(t) = 3*t - 2. What is y*i(a) - 7*q(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m**2 + 0*m)*(32*m**2 + 42*m**2 - 3*m - 4 - 65*m**2).\nAnswer: -18*m**4 + 6*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 19523*z**2 - 99445843*z - 40144530321.\nAnswer: -(z + 441)*(z + 9541)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929637405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1456354297 to the nearest integer?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38190 and 3417530?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10*n**3 - 14*n**2 - 24*n - 1. List the prime factors of g(-3).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/170 and -23\/5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 717212079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5087808 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 59759 to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**2\/n))\/(n\/(((n\/n**(-6))\/n)\/n)*n))**(-45)*(((n*n**(1\/4))\/n)\/n**(3\/5))**(-6\/13) assuming n is positive.\nAnswer: n**(-11679\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(3\/(-2)). Let z = -6087\/17329 - 2\/559. Let r = -183\/341 - z. Is r >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1080\/32 + 10\/8. Let g = 35 - h. Suppose 6*y - 8*y - 4 = g. Let a(n) = -n. Let t(v) = 2*v. Give y*a(b) - 3*t(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 419*w**2 - 4 + 3*w - 1 - 271*w**2 - 5*w + (-2*w + 3*w + w)*(-3*w + 5*w + w).\nAnswer: 154*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z = 49*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139*a - 47 with respect to a.\nAnswer: 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*-2 - (-5)\/3)*-3. Let m be (-2 - -3 - g)\/(-2). Solve -3*k - 4*u - 7 = 0, 5*k = 5*u - m*u for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -1\/36*y**4 + 0*y + 3 - 3*y**2 - 1\/27*y**3 - 1\/540*y**6 - 1\/90*y**5. Let w(q) be the second derivative of b(q). Factor w(x).\nAnswer: -2*(x + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32447 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -2*p, -p + 0 + 2 = 0. Solve -2*r - t*r = -5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2022121100001 (base 3) to base 4\nAnswer: 10230311332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.058 to the nearest integer.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12187 - 67*p**2 - 24381 + 12190 to the form f + s*p**2 + q*p and give s.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2916 + -2909. Suppose d = -5, -c = 3*c + d - 11. Calculate the least common multiple of z and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -34. Solve 0 = -4*v - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9044 and 1469004.\nAnswer: 10283028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-5)*((-154)\/(-14) + -12). What is the smallest value in -2\/9, 1, p, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6560401\/73358 - -3844\/43. Calculate the common denominator of -53\/2 and c.\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 826560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - h + 90 = 0. Suppose q = 2*r - 14, -q - 19 + 7 = -r. Let w = h - q. Calculate the least common multiple of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13674\/55 - -2427\/10. Let w = -770 + 279. Let z = y + w. Calculate the common denominator of z and 73\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12348 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 1002030?\nAnswer: 1002102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15)\/(m*m*m\/m**(2\/15)))\/(m**(-8)\/(m**(2\/5)\/m))*(((m\/(m\/m**(-2\/9)))\/m*m)\/m**5)\/(m\/(m**(1\/2)\/m))**(-2\/35) assuming m is positive.\nAnswer: m**(-148\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3782 + 3795. Solve -40 = r*n + 7*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 50?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 237*r**2 + 4*r + 8. Let h(j) = -51429*j**2 - 869*j - 1738. What is 4*h(a) + 869*o(a)?\nAnswer: 237*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**5 - 74*b**4 - 1219*b**2 + 2*b wrt b.\nAnswer: 60*b**2 - 1776*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.9 - -16. Let w = 16 + -1. Let j = w - 13. Put -0.2, t, j in descending order.\nAnswer: j, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/20 + s**4\/2 + s**3\/6 - 5*s**2\/2 + 88*s. Determine l(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {d: 1, v: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1470) + 1*sqrt(1470) + (sqrt(210)\/(sqrt(7) + (sqrt(7) - sqrt(112))) - sqrt(30)))\/(sqrt(60)\/(sqrt(110)\/(sqrt(11)*-2))) + 0.\nAnswer: -25*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64682, -126393, -188106, -249821?\nAnswer: -311538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 3*b + 5 + 0*b)*(1 + 3 - 2).\nAnswer: 2*b + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -43. Let k = 9303813.00067 - 9303750. Let u = k + q. Round u to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -309*y - 1002*y + 256*y in the form q + f*y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 41*z**2 + 179*z**2 - 12*z**2 - 2*z**3 + 6*z**3 = 0.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*b**4 + 262*b**3 + 120*b**2.\nAnswer: -2*b**2*(b - 15)*(9*b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 176*u**2 - 360*u = 0.\nAnswer: -90, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-10)\/(-12) - 14\/(672\/136)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011 (base 2) in base 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225512.\nAnswer: 2, 7, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13371 or 13373?\nAnswer: 13373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001834304375 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a litre in millilitres?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -1*sqrt(27))\/sqrt(9) + (sqrt(3) - (1 + sqrt(432))**2) + sqrt(3) + -1 - (sqrt(9)\/(sqrt(108) - sqrt(3)) + sqrt(54)\/sqrt(2))**2.\nAnswer: -11618\/25 - 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2953*q - 1477*q - 1477*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thcsy. What is prob of picking 1 t, 1 y, and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 553345.7 years to centuries.\nAnswer: 5533.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -6. Suppose w = -2*l - 5*m - 11 - 6, 5*l + m = -54. Let t be (l\/(-4))\/((-1)\/(-4)). What is the greatest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*m + 270 + 74 = -17*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.185885 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158409.216s to weeks.\nAnswer: 0.26192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.008 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321, 1, 554 in increasing order.\nAnswer: 1, 321, 554","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8990924*j**2 - 38262*j - 1.\nAnswer: -17981848","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + o + 14 = j, 0 = -4*j + 3*o + 22. Solve b + 6 = j*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i + 3*g + 1 - 10 = 0, 5*i - 5*g = -15. Is -0.22 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491, 488, 483, 476?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 0*a**3 + 3 + 0*a - 2*a**2 + 1\/4*a**4. Find the second derivative of d(u) wrt u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*g - w, 11 = g - 7*w + 12*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4059*s + 26873 - 43887 = 96638 for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 16 + 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57, -4, 1, -2 in ascending order.\nAnswer: -4, -2, 1, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14365050241 + 620211044245766\/43175. Let j = b + -322\/157. Let n = j - -1\/75. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -94. Suppose -c*t = 25, -2*w - t + 410 - 145 = 0. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 5*z**2 + 3*z - 1. What is h(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 15, -115, 8, -3 in descending order.\nAnswer: 15, 8, -1, -3, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -4*b**3\/3 + 7*b**2\/2 - 3*b - 562. Calculate h(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0598256205 to five dps.\nAnswer: 0.05983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 271813416?\nAnswer: 2, 3, 7, 337, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020011202 (base 3) in base 11?\nAnswer: -43824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020 (base 5) to base 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -4*y + 2*z, 32 = -y + 2*y - z. Let l(x) = -x + 11. Let r be l(4). Calculate the highest common divisor of y and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 6. Suppose -2*y + 1 = -5*o, 2*o - 8 = -2*y - 0. Let z be f(y). Suppose 0 = z*g - 0 - 12. Solve v = -g*v + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -933*(438\/(-18) - -25). Is -616 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24\/5)*t*t)**40 assuming t is positive.\nAnswer: t**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 20 = g - 0*g, 3*u = 2*g - 19. Suppose g = d - 4*p - 4, -36 = -d - 5*p. Solve 0*v = -5*s + v + d, -4*s = -2*v - 22 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e6 + -225e6?\nAnswer: -22500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-28))\/(24\/(-112))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 688\/1589 + -1\/227. Let k = -2672\/15 + 178. Let p = 1.1 - 1. What is the closest to -1 in k, p, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 1038, 26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-6)\/4)*590\/(-236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/20 + 25*z**4\/6 + 23*z**3\/3 + 126*z**2 - 1486*z. Calculate v(51).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, -4, 775, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/15 + 1114008*k\/5 + 10026126\/5.\nAnswer: -2*(k - 1671021)*(k + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 3*k**4\/4 + 300*k. Let g(x) = 3 + 6 - 10*x**2 - 3 - 6. Give 2*g(t) + 3*m(t).\nAnswer: 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23794*y + 52636.\nAnswer: -23794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2455106?\nAnswer: -2455112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.7 + -3. Let w = 18 + -19. Which is the nearest to w? (a) -0.4 (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.3 (c) 28561\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - q - 5*u, 5*q = -u - 10. Let m(c) = c**2 - c + 1. Is m(q) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 3071. Give k(-142).\nAnswer: 3923","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 132130332300 (base 4) to base 6\nAnswer: 443034240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 123899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.6 + 12.1. What is the closest to 2 in -3\/2, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-5)\/(-20)*-10652)\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34)\/(-1190))\/(5\/(-35)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 587376.97 to the nearest one hundred.\nAnswer: 587400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8667 times 156?\nAnswer: 1352052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 1. Let l be y(1). Suppose -i - h + 83 = 0, i - 71 = 2*h + 6. Let p = -78 + i. Put l, p, -2, -7 in decreasing order.\nAnswer: p, l, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - 4*n**2 + 3*n - 1 - 2*n**2 - 2*n**2 + 2*n**2 + (15*n - 15 + 15)*(-4*n + 2*n + n).\nAnswer: -21*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from bbrrbbbbbbrrrbrr?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 v when four letters picked without replacement from ddvddvvvvvvdv?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttr when three letters picked without replacement from {r: 9, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.95 + 18.55. Sort i, -5, -121 in descending order.\nAnswer: i, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/8 + 81*g\/8 + 39\/4.\nAnswer: 3*(g + 1)*(g + 26)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4089.29 - 4090.94777. Round b to 2 dps.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/13251 and -109\/821562?\nAnswer: 821562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 - -290. Suppose -19 + 121 = 2*l. Suppose -2*j + 18 = -m - m, -4*j + l = -m. What is the greatest common factor of r and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -264, -1054, -2366, -4194, -6532, -9374, -12714, -16546?\n\"Answer: p**3 - 267*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -606, -1358, -2410, -3762, -5414?\nAnswer: -7366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((138*h - 12*h**3 - 138*h)*(3 + 5 + 5) + 3*h**3 - 2*h**3 + h**3)*(1 + 2 - 4).\nAnswer: 154*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23800 - -23796. Sort 3, -1357, p.\nAnswer: -1357, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from cotctttkttcbtk.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.16 (b) -3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -10*g**3 + 50*g**2 - 2*g + 4. What is x(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105029599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - (12 + -3) - (8 + -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4214644 to the power of 1\/2, to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66599?\nAnswer: 13, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p + 14. Let j = p - 12. Let u(v) = -5*v**3 - v**2 - v - 1. What is u(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.249*0.6\nAnswer: -0.1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 54663396517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77*f**4 + 28809*f**3 + 2*f**2 + 3812*f + 437 wrt f.\nAnswer: -924*f**2 + 172854*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 0*u + 0*u)*(u - 3*u + 0*u) + 9*u - 2*u**2 + 3 - 8*u - 8.\nAnswer: -6*u**2 + u - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.9*-124.424\nAnswer: -111.9816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c69 + 1d?\nAnswer: -7c4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-3)\/2 - 4. Suppose -h*d = 2*w - 316, -3*w = -3*d + w + 200. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51.7 - -3.3. Let j = h - 54.7. What is the third biggest value in -0.4, j, 1.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 4*y = -24, 103*w - 102*w - 237*y = -233*y - 18 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 299201 or 299200?\nAnswer: 299200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -245, -473, -693, -905?\n\"Answer: 4*j**2 - 240*j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbmbbbbbmbm. Give prob of picking 3 m.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574628 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = n + 2*j - 4, 2*n - 8 = -j. What is the remainder when 111 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 15 = 0. Suppose 0 = -5*k + 3 + 7. Solve -k*m = 4*q - 6*m - 24, -d*q - 4*m + 21 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 - 4*y**4 + 4*y**4 + (-y**3 - 5*y**3 + 3*y**3)*(62*y + 435*y - 103*y)*(-1 + 6 - 3) to the form j*y**4 + x*y**3 + c*y + n*y**2 + v and give j.\nAnswer: -2363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69627*a**3 - 19 + 321 + 69635*a**3.\nAnswer: 8*a**3 + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + p = 4*p - 588, -3*p - 114 = m. Let n = m + 136. What is the remainder when 169 is divided by n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10280170 to the nearest integer?\nAnswer: 3206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 301020?\nAnswer: 301020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-42)\/(-273) - (-843)\/13. Suppose -56 = 64*z - j*z. Let q be 6 + 1768\/z - (-6)\/14. What is the highest common divisor of 266 and q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*z = -0*j - 214, -2*z = -3*j - 574. Is 14\/(-1)*j\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-80)\/3000 - (-736)\/(-17400)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5*-1 + (-18)\/(-36))\/(33\/176)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11120 (base 4) to base 14.\nAnswer: 1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14789631 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -853*v**6\/15 + v**4\/12 - 103*v**3\/3 - v**2 - 4671*v. Find the third derivative of y(j) wrt j.\nAnswer: -40944*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 2*s + 37. Let q(f) = f**2 - 3*f - 74. Give -3*q(c) - 5*v(c).\nAnswer: 2*c**2 - c + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 713 - 712. Which is the nearest to u? (a) 0.1 (b) 0.5 (c) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 145 = -102 + 91 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 4*o - 2. Let p be r(1). Factor -2\/7 + 0*d**3 + 0*d - 2\/7*d**p + 4\/7*d**2.\nAnswer: -2*(d - 1)**2*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -357 - -348. Let q(i) be the third derivative of -i**4\/6 - 31*i**3\/6 + 9*i**2. Let n be q(r). Solve 0 = -3*y + 4 + 2, -n*c - 5*y = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 30 + 76?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162.27 - 162. Let f = -0.67 + i. Which is the biggest value? (a) 4 (b) 3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (540*f + 454*f + 1030*f - 445*f + 324*f)*(2*f**2 - 6*f**2 - f**2).\nAnswer: -9515*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 528778 - -6622.4\nAnswer: 535400.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70) + sqrt(70) - sqrt(70))\/sqrt(7))\/(sqrt(16)\/((sqrt(8) - sqrt(64)\/sqrt(8)) + sqrt(8))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-4)\/(-16) - 18\/5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331642142*y**4 - 347127568*y**2?\nAnswer: 7959411408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 107.047 to the nearest integer.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - q + 5. Let k(d) = -d**2 - d. Let o(v) = -5*k(v) + l(v). Let a be o(-5). Calculate the highest common factor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-3) + (-740)\/96 - (-9)\/24. Let r(a) = 4*a + 2. Let p(z) = 9*z + 4. Let i(b) = -b**2 + 9*b - 6. Let s be i(4). What is j*p(d) + s*r(d)?\nAnswer: 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/11807550 and 69\/345250?\nAnswer: 59037750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 50a - 12?\nAnswer: 4b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3099639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17290736 by 4.\nAnswer: 4322684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let m(p) = -15*p - 1. Let z(b) = m(b) + 2*r(b). Let x = 10 + -12. What are the prime factors of z(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 + 13*x + 16. Let m(n) = -42*n**2 + 94*n + 115. Calculate 4*m(w) - 29*q(w).\nAnswer: 6*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**3 + 65055*h**2 - 31887300*h + 31822240 = 0.\nAnswer: -13484, 1, 472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c*w**2 - 2283*c + 31535*w**2 + 6 wrt c?\nAnswer: 3*w**2 - 2283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/(-9)*8055\/(-10). Is (c\/(-24))\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18\/13 - -165\/91. Suppose -5 + 2 = -q. What is the closest to 1 in q, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106242914 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2*1)\/(6\/15). Let c(u) = -4 - 1 + u - 2*u + 0. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5102.13 to the nearest 10.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 20 - 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155276012 a multiple of 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2180)\/80 - -31)\/(3\/(-12940)). Is -16176 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 43*h - 1. Let d be l(1). Let n = d + -11. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 53*h = -43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -470 (base 14) to base 8.\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110 + 227. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Let s = 4 - l. Suppose -3*m - 2*m = -s. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 125?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5890.67 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 76, 152, 230, 310, 392, 476?\n\"Answer: d**2 + 73*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 22 = 6*y, 7*y - 4*y - 4*d - 13 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -4*n**3\/5 + 288*n**2\/5 + 2164*n\/5 + 3792\/5 = 0.\nAnswer: -4, -3, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/595 and 73\/672.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*d - 4*d - 1003, -4*k = -3*d - 3984. What are the prime factors of k?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12bb543 (base 12) to base 5\nAnswer: 1423402043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -102*k - 16*k - 155*k + (-k - 1 + 1)*(3 + 2 - 6) + 2*k + 2*k - 2*k - 2*k + k - k.\nAnswer: -272*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((0 - 13) + -50 + 54)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -23547100 to the nearest one hundred thousand.\nAnswer: -23500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 34. What is the smallest common multiple of p and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.23 + 1.84. Let i = f + -3.97. Which is the biggest value? (a) 3\/5 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*d - 723683 + 723683 - 78*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k - 13 = 97 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (18 + -8 + -11 - 3) - -19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/m)\/(m**(-10\/9)*m))**(-30)*((m**(-10\/7)*m)\/m**(-1\/13))**30 assuming m is positive.\nAnswer: m**(37160\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 - 2*v**2 + 5*v**2)*(0 + 0 - 2*v**2) + 0*v**4 + 2*v**4 - 3*v**4 + 0*v**4 - v**4 - 5*v**4.\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**2 - 19. Let j(r) = 64*r**2. Determine j(t(v)).\nAnswer: 256*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46247251 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4412, 4411, 4410, 4409?\nAnswer: 4408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 - 47 - 49 + 3*a**3 - 273 + 422.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1016a (base 13) to base 7\nAnswer: -150006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -6.\nAnswer: 79\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -77.3 (b) -0.05 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70\/87 - 4\/29. Put g, 2, -106 in decreasing order.\nAnswer: 2, g, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let l be (-8)\/(-16) - 5\/(-2). Calculate the greatest common divisor of l and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**4\/24 + 2*j**3\/3 + 3*j**2. Let g be z(0). Calculate the highest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 13. Suppose 7*c - 2*c - 100 = o. Let h = 81 - 51. What is the greatest common factor of c and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98 - 4\/(-8)*4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c - 1 + 1 + 0. Let v(m) = -5*m. Determine v(l(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**5\/10 + 5*r**3\/6 + 4*r. Find the second derivative of p(o) wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(162) + 2 - sqrt(162)) + -3 + -1*(sqrt(162) + 2 + -5))**2 + 0 + -2)*-3.\nAnswer: -627 + 378*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 4*n + 12. Let o be i(6). Suppose o = 2*f - 0 - 4. Suppose 3*l = -2*l + 3*v + 15, 2*v = 3*l - 10. Sort -2, l, f.\nAnswer: -2, l, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:34 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**3 + 11*x**3 + 5*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(4\/3))*o**(-4)*(o\/((o*o**(-1\/2)*o)\/o))\/(o**(6\/11)\/o))\/((o**0)**(4\/3)*o*o**2*o*o*o**(-1\/3)) assuming o is positive.\nAnswer: o**(-199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h + 27. Let p be f(-12). Solve 0 = -r + p - 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12690 = -8*p. Let g = -25281\/10 + p. What is the common denominator of g and (-1)\/(-3)*230\/4?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 484343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.3. Let u = 0.4 + r. Let j = 6.711 + -6.811. Which is the second biggest value? (a) -4\/7 (b) u (c) j (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1754.27 from 0.0174731.\nAnswer: 1754.2874731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5710 less than -5710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**4\/9 + 290*w**3\/3 + 32432*w**2\/3 + 517880*w\/9 - 1465472 = 0.\nAnswer: -214, -16, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 2*n - 11. Let l be j(-5). Let y be l\/(-120)*15\/(-6). Let t = 43\/7 + -65\/14. Which is the nearest to y? (a) t (b) 2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + b + 3. Let j(k) = -k**2 - 2*k - 1. Let p be j(-1). Let s be n(p). Let x = s - -11. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1245 = 19*j - 14*j. Let f = 1249\/5 + j. Factor -f - 4\/5*u**2 - 8\/5*u.\nAnswer: -4*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -28*r + 40. Determine c(5).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -435*t + 2. Let c(i) = -439*i + 2. What is -7*c(z) + 6*v(z)?\nAnswer: 463*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + u + 15. Let w = 5 - -8. Let y = w - 13. Is a(y) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -44 - -35. Let u be -1 - -5 - 0\/c. Solve -u*x - 2 = -6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 14 + 25)*(5 + 1 - 2)*(n + 3*n - 3*n).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 14*i + 6 + 46*i - 6 in the form u + q*i and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63285?\nAnswer: 3, 5, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 115036? (a) -3\/20 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/12 + -1 + 1. Let y = -0.4 - -0.1. Suppose -34*v = -30*v - 12. What is the second smallest value in y, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 5, h: 8}. What is prob of picking 2 b?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 6*b**2 + b**2 + b**2 + 0 + 0 - 2 + 2 + b**2 + (-b + 0*b + 3*b)*(2*b + b - b) - 3*b + 3*b + b**2)*(-2*b - 4*b + b)*(-32 + 2 + 13).\nAnswer: 935*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 3802, 3787, 3762, 3727?\nAnswer: 3682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 270962+4808\nAnswer: 275770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/11587956 or 1?\nAnswer: 1\/11587956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75*z**4 + 21391*z**3 + 1018*z**2 + 3406*z wrt z.\nAnswer: 1800*z + 128346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151391555.\nAnswer: 5, 7, 4325473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 3*g + g)*((7 - 3 + 1)*(6 - 8 - 7) - 2 + 2 + 4 - 3 + 4 + 0).\nAnswer: 80*g + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o*o**(5\/2)*o))\/(o\/(o\/(o\/o**(-1\/7)))))**(-1\/22)\/((o**(-1)\/o)**(-27))**(2\/7) assuming o is positive.\nAnswer: o**(-4659\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4764 - 0.0616. Let u = s - -0.038. What is the fourth biggest value in 4, 0.18, u, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5115 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 + 651. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**2 + 498619425*b\/2 + 249309711\/2 = 0.\nAnswer: -83103237, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 574142 = -75362. Round m to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*i - 4*k, 0 = -2*i - 4*k + 13 - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = 11*n - 592. What is the highest common divisor of 464 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times -3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*-26*102\/663*(-1)\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-1767)\/(-95))\/(-31))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14966033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-27)*n**(3\/7)*n*n\/n**4)\/(((n*n**1\/n)\/n)\/((n**(-3)*n)\/n)*(n\/((n**0*n)\/n))**36) assuming n is positive.\nAnswer: n**(-284\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/20 and -41\/72825.\nAnswer: 291300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 3, 0.154 in ascending order.\nAnswer: -28, 0.154, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 520.1 + -520. Let f = 179 + 218. Let y = -3577\/9 + f. Which is the third smallest value? (a) z (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393518804.\nAnswer: 2, 7, 19, 251, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8390 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*z + 48, -36283*d = -36276*d - z + 144 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 7*a + 5. Is f(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -0.027.\nAnswer: -1.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:11 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k**2. Let c(s) = -5*s. Let g(q) = q**2 - 7*q. Let o(m) = -7*c(m) + 5*g(m). Calculate 5*o(i) + 2*t(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 take away -2207702?\nAnswer: 2207701.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115*(2\/(-110))\/(2108\/155) and 77\/340.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 20*y**3 - 7*y**2 + 2*y - 12. Let l be (-6)\/15 + ((-189)\/5)\/(-7). Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1)*q*q**(-3))\/(q**2*q**(-14)) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4452404599063+-2.3\nAnswer: 4452404599060.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38.464 + 38.46385945. What is t rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*(24\/10)\/3. Let w = -116 - -111. Sort -12, n, w in decreasing order.\nAnswer: n, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 2*w**2 + 4*w**3)*(2*w - 2*w + w**2).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 1110 = -438 + 1950 for a.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -125106552 divided by -1158394\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l**2 - 43*l - 31. Let t be u(-13). Let s = -1509 - t. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37463 by -1.\nAnswer: 37463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -54050, -54017, -53964, -53891, -53798, -53685?\n\"Answer: 10*g**2 + 3*g - 54063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 2 (b) 2\/7 (c) -1 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 160.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 328*m*n**3*o - m*n**3 + 38*m*n**2 + 2*n**3 wrt o.\nAnswer: 328*m*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*j - 90 - 50, -5*r = -20. Let q be 14\/8 + (-65)\/(-260). Suppose q*f = -4*a - 2*f + j, f = -3. Calculate the remainder when a is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 0*g**4 - 2*g**5 + (0*g**4 + 3*g**4 - g**4)*(-2 + 2 - 2*g) - 2*g**5 + 2*g**5 + g**5 + g**5 + 1 - 1.\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -7*u. Suppose u = -2*w + 14 + 2. What is the first derivative of -w*r**4 + 12*r**4 + 10 - 11*r**4 wrt r?\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54504123 and -46160.\nAnswer: 54457963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/(q*q\/q**(-2\/9)*q))\/q*q*q**(-2\/17))\/((q*q**9\/q*q)\/q*q**(1\/4)))\/(((q**(-2\/5)\/q)\/(q**(-8)*q))\/(q\/q**3*q**(-1\/4))) assuming q is positive.\nAnswer: q**(-28213\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = -5*b - 5*x + 5, -27*x + 2*x = -125 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 137027*n - 4797168. What is g(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**5 - 5445*z**4 - 75*z**3 + 135945*z**2 + 326592*z + 196020 = 0. Calculate z.\nAnswer: -3, -2, -1, 6, 1815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - b = q - 61, 185 = 5*q - 4*b. Calculate the remainder when q is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n**2 - 11*n. Let y(b) = 14*b**2 + 23*b - 1. Let p = 41 + -34. Let w(h) = 2*h - 16. Let o be w(p). Let q(z) = o*y(z) - 5*v(z). Factor q(j).\nAnswer: (j + 1)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(2\/7)*h)**(20\/7) assuming h is positive.\nAnswer: h**(380\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.275 rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 355*z**3 - 218*z**2 + 50*z. Let s(b) = 178*b**3 - 110*b**2 + 30*b. Let h(y) = -10*s(y) + 6*v(y). What is the third derivative of h(t) wrt t?\nAnswer: 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkckbskskhkkkcksk. Give prob of picking 1 b and 1 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/5 + g**4\/4 - 7*g**3\/6 + 2*g**2 + 13*g. What is the units digit of t(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23, -18, 5, 58, 153?\n\"Answer: 2*f**3 - 3*f**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1923 and 24.\nAnswer: 15384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.7 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 151*h + 2465. What is m(52)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uurruuuuuurrururrrru. What is prob of sequence uuur?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3528899, 7057790, 10586683, 14115578?\nAnswer: 17644475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1495*-6\nAnswer: 8970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 295 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19234712, -38469424, -57704136, -76938848, -96173560, -115408272?\n\"Answer: -19234712*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142392 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1178897343343 and -0.343.\nAnswer: 1178897343342.657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p + 49*p = 30 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 5*u**2 - 3*u**2 + 12*u**2 + 3*u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15416 is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 12*k**2. Let c(p) = 24*p**2. Calculate c(v(i)).\nAnswer: 3456*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -423, -391, -359, -327, -295, -263?\n\"Answer: 32*t - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3 - 14) + 18 - 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23223.\nAnswer: 3, 7741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 11:36 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -21. Let y be h*(46\/5 - 0). Let v = 147 + y. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-139997)\/(-4) - 13\/52. Round k to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11032*s**3 - 11014*s**3 - 11015*s**3 + 6 + 33063*s**3 - 20.\nAnswer: 2*s**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(324) - sqrt(324)*-2)*2)\/((sqrt(6912)*1 + sqrt(6912))\/sqrt(4)*5).\nAnswer: -3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(-2\/5)*f))\/f)\/(f**(-2\/3)*f)*f**(-1\/3)\/(f\/(f**(1\/5)\/f)))\/((f**10*f)\/(f**(-3)*f))**(10\/11) assuming f is positive.\nAnswer: f**(-2456\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 528 divided by 3\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40886819, 40886820, 40886821, 40886822?\n\"Answer: o + 40886818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 + 13*i + 16. Let h be u(8). Are h and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 6*f**2)*(-f**2 - f**2 + 0*f**2) + 3*f**3 - 273*f**2 - 47950570*f**4 + 47950572*f**4 + 4*f**3.\nAnswer: -2*f**4 + 7*f**3 - 273*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -38. Let t(j) = -j**3 - 9*j**2 - 11*j - 12. Let v be t(d). Solve 3*n = -2*l + 2, 4*l + v = l + 3*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 13*p**2 + p - 11. Let h be i(13). Suppose -h*u = 4*z - 46, -4*u + 6*z + 125 = 3*z. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88)\/16)\/11 - 6\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -24\/7 in increasing order.\nAnswer: -24\/7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 216, 281, 352, 429, 512, 601?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1356861*z + 3. Let x be y(3). Suppose 12*i + x = -849414. Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 - 1968*m + 3*m**3 - 2823*m + 39.\nAnswer: 2*m**3 - 4791*m + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 13) + -136 + 136 - -12) + 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*n**2 + 2*n + 332*n**2 + 4*n - 6*n to the form l + d*n + q*n**2 and give q.\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17899051 is divided by 1193253?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.85 - -0.6. Let o = v - -0.05. Sort 0.3, o, 5 in ascending order.\nAnswer: o, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 11*r**2 - 13*r - 9. Let t be l(-11). Suppose -4*o - 4*q + 2680 = 0, -4*o + 4*q + 2538 = -t. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402*r**2 - 1408*r**2 + 36*r - 36*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 + -663?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7567 - -7566.99996491. Round l to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) + (-448)\/(-6). Let c(x) = 31*x + 80. Let n be c(-2). Suppose 5*y - 8*y = 2*b - n, 8 = -2*y. Calculate the greatest common divisor of b and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52037 (base 11) to base 15\nAnswer: -17757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2.823.\nAnswer: 8.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-155)*((-620)\/(-372))\/(1\/2)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4876, -10210, -15544, -20878?\n\"Answer: -5334*g + 458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/2*(-125)\/(-375)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:48 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.06 + 2. Let p = u - -0.56. Let y = p - 0.4. What is the closest to y in -5, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 8 = -h. Let u(p) = -p - 17. Let y be u(h). Let j = y + 18. What is the smallest common multiple of j and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/56 + -2 + 2\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.7 - -0.3. Let r = z - 17.04. Put -0.3, r, -0.2 in decreasing order.\nAnswer: r, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39045+0.6\nAnswer: 0.20955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1173*p - 1173*p - 565*p**2 to the form v + c*p + h*p**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + 4*w - 4*w)*(w - 4 + 4) + 1 + 5 - 17*w**2 - 5 to y + k*w**2 + x*w and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 26)*(-2)\/6. Let x = 5 + t. Let j(m) = -3*m**3 + 4*m**2 - 3*m + 13. Let n(u) = -u**3 + 2*u**2 - u + 6. Let a(l) = -3*j(l) + 7*n(l). What is a(x)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/3 + 919*f**2\/3 + 24401*f\/3 + 53235.\nAnswer: -(f - 945)*(f + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 8. Let g be k(4). Solve g = -0*n - 3*n - 4*y - 9, 3*n + 12 = -5*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 11*z - 317 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/95)\/((-70308)\/1240).\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = s + 39, -396*q - 4*s - 21 = -391*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 2 - s**2 - 7*s + 0*s**3 - 6*s**2. What are the prime factors of u(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**27\/((o*o\/(o\/((o\/o**8)\/o)*o))\/o))\/((o*(o**(-20)\/o)\/o)\/((o*(o*o\/(o*(o*o**17)\/o))\/o*o)\/o*o)) assuming o is positive.\nAnswer: o**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 3*s + 55. Let f be n(9). What is the fourth smallest value in f, 0.2, 57, 0.3?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 33, 28, 19?\n\"Answer: -2*t**2 + 5*t + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 8. Let p(n) = 15*n - 27. Determine 3*p(k) - 8*t(k).\nAnswer: -3*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239 at most as big as 4237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0473 less than 3840075326?\nAnswer: 3840075326.0473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*t + 9*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0.092, 0.07, 7\/2, -1\/4, -2\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(0 - 6)*8. Suppose -y - 48 = -f*y. Solve -k = -5*s + 6 + y, -3*k + 34 = 5*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258655 divided by -17.\nAnswer: 15215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) 5 (b) -5 (c) -2\/175 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 7*d**2 + 6*d - 6. Let j be u(8). Let k = j - -34. Solve 0 = -3*x - x - k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwww when four letters picked without replacement from {w: 3, d: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(15)*1)\/sqrt(5) + 2.\nAnswer: -3*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*f**3 + 112*f**3 - 255*f**3.\nAnswer: -291*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, m: 1, j: 1, t: 1, k: 3, f: 4}. What is prob of picking 1 f, 1 z, and 1 j?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 + 0 + (4 - -3 - 76)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-1)\/(-7) + (-9970)\/(-14)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 403?\nAnswer: -404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -24, -50, -86, -132, -188?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23845 - -23844. Let t = -5.01 + 4.8. Let v = t + -0.89. Which is the third biggest value? (a) o (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439074331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jahooazzojoazyojoo. What is prob of sequence zjz?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose n = -k + 4*k - 39. Calculate the remainder when 38 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15010, -14986, -14936, -14854, -14734, -14570?\nAnswer: -14356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012 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 fifth smallest value? (a) -4 (b) -5 (c) -7\/4 (d) 0.2 (e) 97 (f) 2 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 + 15*j + 67. What is f(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.05 + -0.05. Let a be (-2)\/9 + 170\/360. Sort a, -5, m in decreasing order.\nAnswer: m, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a second in milliseconds?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/350)\/((-567)\/270).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(54\/15). Let o(x) = x**2 + x + 1. Let t be o(-1). Is f != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*m - 3*i - 10 = -75*m, 3*i = -4*m - 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 + (9 + -8)*-1 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 17 - 9 = 2*s, 0 = 4*p + 4*s - 4. What is the second derivative of i + 0*i - p*i + 5*i**4 - i**4 wrt i?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -13903*i + 14003*i + 3232 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 4:27 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1*j*j)\/j**(-2\/9))**(-1\/32) assuming j is positive.\nAnswer: j**(-19\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - (26 - 595\/(-17)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3*i - 5. Let m(n) = -2*n + 3. Let k(g) = 5*j(g) + 8*m(g). Let q(l) = 2*l + 2*l**2 - 3 + 9 + 4*l. What is -6*k(t) - q(t)?\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -286*a**3 + 290*a**3 - 9 + 40 + a**3 - 4 + 4 + (-3*a**2 + a**2 - a**2)*(4 - 4 + a).\nAnswer: 2*a**3 + 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 x when four letters picked without replacement from xhhoxxx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 600*a + 67846. What is v(-151)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 444, 0.\nAnswer: -4, 0, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.09 + 4.2. Which is the nearest to 0? (a) -1 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111\/2, 87, 647 in ascending order.\nAnswer: 111\/2, 87, 647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-13)\/(-1183)*14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284, -1131, -2542, -4517, -7056, -10159, -13826?\nAnswer: -18057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y. Let s(n) be the first derivative of 12*n - 12 + 6*n**2 - 8\/3*n**3. Let q(w) = -3*w**2 + 5*w + 5. Let h(z) = 12*q(z) - 5*s(z). What is h(c(p))?\nAnswer: 100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20221 is divided by 5031?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -10, -2\/7, -4\/9, -4\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2541, -3699, -4857, -6015, -7173?\n\"Answer: -1158*y - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -66841.\nAnswer: 66844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 19*b + 9*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 + 111001010?\nAnswer: 110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = 110*w - 224. Let f(a) = 0*a - 2 + 4 + a. What is f(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158.751 + 159. Let y = 28.949 - h. Let d = y + -29. Which is the third smallest value? (a) -5 (b) d (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*g**4 + 55*g**4 - g - g**3 + g**2 + 0*g**2 to f + m*g**3 + c*g + i*g**4 + q*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/15 - 223972*z\/5 - 18811296294\/5.\nAnswer: -2*(z + 167979)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 30*o**2 + 31*o + 76. Give w(31).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 89310*6.3\nAnswer: 562653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 5*u**2\/2 + 8*u + 3. Let c(l) = 3*l + 5. Let g be (-24)\/9*3\/1. Give g*c(q) + 5*n(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3)\/o)**(-4)*((o\/(o*o\/(o*o\/(o\/(o\/(o**(-1)\/o)*o)))*o))\/o)**(-23\/2) assuming o is positive.\nAnswer: o**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18722*j**2 + 2*j + 11227 wrt j.\nAnswer: -37444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -527 (c) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/145 + -3613\/290. Calculate the common denominator of t and -89\/354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + w = 75. Let k = -11 - w. Suppose n - k = -0*n. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 473 - 20610?\nAnswer: -20115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.3 - 314307309.\nAnswer: -314307364.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**3\/5 - 399*s**2\/5 - 2772*s - 49248\/5 = 0. What is s?\nAnswer: -72, -57, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2 + 1)*1. Suppose 5*o - 35 = -4*f, 8*o - y*o = -5*f + 34. Suppose 3 = o*r - 9. What is the remainder when 11 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:55 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-1))\/p)**46*(p\/(p*p**(12\/7)))**14 assuming p is positive.\nAnswer: p**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 647889152?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/19, 2\/11, -1\/23, -16?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-5)*35\/14. Suppose -y*x + 3 = -4*x. Is x at least as big as -13\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -28*x**2. Let q(w) = w**2 - 2*w - 154737. What is q(b(g))?\nAnswer: 784*g**4 + 56*g**2 - 154737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 8*x - 2*m = -6*x - 45, 16*x - 41 = m - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 6:44 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41933545387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2215572 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-three quarters of a meter?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 1:04 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 81*i**2 - 433*i + 39450. Calculate o(-65).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2733 - 2715. What is the nearest to d in -0.02, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -1110.549.\nAnswer: -22.21098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 434024514 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*k - 3*k - 3*i, 5*i + 20 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 583*p = 578*p + 14, 0 = 3*j - 3*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 60.73. Is 6 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 4.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2231 and 989?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 15\/35) + 17\/((-119)\/14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13057 is divided by 338?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/3 + 4 + 1\/1. Let g = -3.98312 + -0.01688. Which is the third biggest value? (a) g (b) h (c) 1\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*v + 5*o + 5 = 71*v, -v - 9*o + 21 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r + 151. Let k be p(0). Let z = k - 97. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -633571 divided by -1?\nAnswer: 633571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, r: 3}. Give prob of picking 2 d and 2 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 0, -3 + 2 = 2*b + c. Solve -b*v - 12 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**3 - 6*c**2 + 2*c + 1. Let h be t(-2). Suppose 0 = -3*j - h*a + 5, a + 19 = 3*j - a. Sort -4, j, -3.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28370 + 41984. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 631976.\nAnswer: 3159880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 14 = w. Let n be (291\/(-6))\/(1\/w). Suppose 4*b - 181 = -5*f, -3*f + n = -b - 15. What are the prime factors of f?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.06695 to two decimal places.\nAnswer: -13.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24207 is divided by 24142.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44016 and 42504.\nAnswer: 11136048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -21*u**2 + 11799*u = 0.\nAnswer: 0, 3933\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 20224*w + 242689. Calculate k(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/20592*39*583.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*g + 12, 0 = -5*g + 2*g + 3*f. What is the second derivative of 4*p**4 + 28*p + 0*p - 4*p**4 - 16*p**g wrt p?\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424127617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffcbcrcbtbtcbccc. What is prob of picking 2 b and 2 f?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a + 1\/48*a**4 + 0 - 1\/12*a**3 + 1\/8*a**2. Let z(w) = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 50274*r**3 + 380*r - 95. Let g(i) = 1571*i**3 + 12*i - 3. Give -95*g(t) + 3*x(t).\nAnswer: 1577*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1439 is divided by 1316?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(((-4)\/(-2))\/(-4)). Suppose -5*u = -5*g - o, -3*g = -g + 10. Let p(m) = -m + u*m - 4*m + 2. Determine p(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975733 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 2. Let r = 115430 - 115414. What is the remainder when r is divided by f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330252 and 155636.\nAnswer: 13540332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/315*(-11)\/(-88).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by -136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 3*m + 4. Let i be ((0 - 0)*1)\/1. Suppose -2 = -3*u - 4*z + 5, i = -3*u + 3*z - 21. Let x be n(u). Solve 6 = 5*g - x for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30eb7 - 190?\nAnswer: 30d27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 46 + 26 = 0. Let q(d) = -d**2 + 9*d - 5. Let l be q(7). Calculate the highest common divisor of b and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/24682587 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3543081429?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*m - 2*m + 0*m)*(0 + 0 - 4*m)*(34*m - 34*m - 21*m**2) to l*m**3 + t*m + u*m**2 + g + q*m**4 and give q.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -21. Let h = 1 - -1. Find the third derivative of 12*y - 3*y**h + y**v - 12*y wrt y.\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, x: 6}. What is prob of picking 2 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -3*n + 14, 3*d - 117 + 103 = -5*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((((sqrt(117) - (sqrt(117) + -1)) + -4)*-4 - (sqrt(117) + -1 + -4 + -3*((sqrt(117) + 1 - sqrt(117)) + sqrt(117) + sqrt(117)))) + 3))**2*3.\nAnswer: 51750*sqrt(13) + 259050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 440 - 209 + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139166.\nAnswer: 2, 149, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-4\/7))\/x)\/x**(-5\/2)*x*x**(-3\/4)\/x*x*x**(-1))**(-20) assuming x is positive.\nAnswer: x**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-83)\/5*(-1500)\/600*-2?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2822?\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Suppose -3*w - 3*l - 12 = -n, -2 = 2*w - l. Is -3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -30, -2 in decreasing order.\nAnswer: -2, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + g + 2. Let y be j(2). Suppose y*v - 3*a = -v + 47, -4*a = 2*v - 104. Let c = -29 + v. What is the remainder when 40 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215414777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2278 + 239*z - 1135 - 1142)*(1 + 1 - 4).\nAnswer: -478*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2284014822?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 17. Let h = -4778 + 4786. Determine x(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 64*o + 1012. Let g be x(36). Solve 3*b - k = -b + 7, 0 = g*b + 5*k + 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59 + 59. Let f = -5 - -7. Let u be (0 - 1)*f\/6. Are k and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 77*l = 0. Let m = -52 - -92. Suppose 5*z - 13*z + m = l. What is the highest common factor of 35 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 235 - 1774. Calculate the remainder when l is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 76053.\nAnswer: -16\/76053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90344, 90384, 90446, 90542, 90684?\n\"Answer: 2*x**3 - x**2 + 29*x + 90314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffofggyfggfgft. Give prob of picking 1 y and 1 f.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20415172 to the power of 1\/2, to the nearest integer?\nAnswer: 4518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(1*1\/5). Let z(r) = 4*r**2 + 22*r + 14. Let o be z(-5). Solve -o*q = -6 - x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 14*n + 27. Let l(v) = 7*v**2 + 28*v + 53. Let j(r) = 5*k(r) - 2*l(r). Calculate the remainder when j(-3) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*o + 4*p - 30, -o - 4*p = -3. Which is the third biggest value? (a) o (b) 0 (c) 2\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 11*b**2 + 9*b. List the prime factors of z(-12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -108 (c) -0.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*w + 4 - 2 = 0, -2 = 3*u - 2*w. Let a(l) be the first derivative of -19 - 10*l**3 + u*l - 31\/2*l**2. What is the second derivative of a(j) wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506 - 275. Let q = i + -232. Which is the fourth biggest value? (a) q (b) 1 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-728364)\/70587) + 9\/7?\nAnswer: 3\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*-4*14\/12. Let u(p) = -p**2 - 7*p + 3. Let l be u(k). Suppose l*d + 177 = 1254. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqqyqyyqqyqq. Give prob of picking 2 q and 1 y.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223999110.\nAnswer: 2, 3, 5, 37, 137, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195.7 at least 76623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/17)*m*(m*m*m\/(m**(-12)\/m))\/m*m*(((m*m**(-19)*m)\/m*m*m)\/m)\/(m\/((m*m**(-3)\/m*m)\/m)) assuming m is positive.\nAnswer: m**(-67\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/6)\/(3\/(-18)*-4). Suppose h*g = -g + 3141. List the prime factors of g.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1208700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8292 by 6.\nAnswer: -1382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11380794 take away 19020097?\nAnswer: -30400891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-20))\/(6*(-1)\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -7) + (7 - (16 - 7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 9:24 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18690 and 14952?\nAnswer: 74760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 - 8 = 0, 5*d - 595 = -4*u. Suppose -5*q + u = 1035. Let p = q - -259. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -12 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.5 (b) -0.01 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 26. Let h = -11 + x. Suppose 0 = 2*a - 184*g + 187*g - 4, 6 = 3*a - 5*g. Solve r = -a*r + f - 2, 0 = -h*r - 3*f - 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 38*h - 859. Determine k(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4934 * -1.04\nAnswer: 5131.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, n: 2, v: 7, z: 3}. What is prob of sequence hz?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**5 + 2274*y**4 - 31361*y**3 + 147658*y**2 - 274988*y + 156408 = 0. Calculate y.\nAnswer: -266, 1, 3, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 58.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/19? (a) 69 (b) -4 (c) 4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/1*35\/(-10). Suppose i + 4*i = 3*r - p, 0 = 3*i + 3. Is 5 a factor of 15*(1 - 2\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3*n - 5*n + 50, z - n = 25. Suppose -4*g = -g + 6. What is the units digit of (-35)\/g*24\/z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 493, 753, 1033, 1339, 1677, 2053?\nAnswer: 2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7252, 14198, 21100, 27958, 34772, 41542?\n\"Answer: -22*p**2 + 7012*p + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-162)*11\/(22\/(-72))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 13. What is the lowest common multiple of 22 and y(7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/6 - 2*h**3\/3 - h**2 - 9*h. Calculate v(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + (-6)\/(3 - 0). List the prime factors of ((-18)\/(-4))\/((-7)\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650*f**5 + 540*f**4 + 1444*f**3 + 192*f**2 - 74*f - 12 = 0. What is f?\nAnswer: -1, -1\/5, 3\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 20a?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, -15, -77, -161?\n\"Answer: -11*u**2 - 7*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 15*c**2 - 3*c**3 + 45*c - 2*c**3 - 1 = 0. What is c?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 148 - -2?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 220757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 3:02 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 8684?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2953 + 0.21958802.\nAnswer: -1.07571198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 9 - 3 = 2*x, 0 = 3*l - 5*x + 9. Let j be (0 + -69)*1\/l. Suppose 2*n - j = n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/8, -6342, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, -1059, 1?\nAnswer: -1059","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 461776 and 2744?\nAnswer: 3232432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 6*m**2 - m - 5. Let t be q(-6). Let h be 10 + (8\/((-240)\/15))\/((-169)\/(-3382)). Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 309548096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 8*n**2 + 8*n + 24. Let y be a(6). Suppose y = 5*m - 78 - 62. Calculate the remainder when m is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 14 - 3*a**2 - 11\/3*a**3 + 0*a. Find the second derivative of n(w) wrt w.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 13) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 19. Let x be (-1 + 1 + 1)\/(p\/16). Suppose x*i - 327 - 141 = 0. What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**3 + 2*l**2 + 4*l + 2. Suppose 2*w = -5*a, -4*w + 20 = -0*w. Let b be q(a). Let h = 610 + -324. What is the highest common factor of h and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/14)\/q**26 assuming q is positive.\nAnswer: q**(-361\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -128, -3, -6 in descending order.\nAnswer: 0, -2, -3, -6, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 180 - 180, m + 2*v - 6*v = -2*v + 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 3?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 142*a**2 - 133*a**2 + 114*a - 3*a**4 + 188*a**3 + 72 - 224*a**3 = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9683, -77493, -261555, -619997, -1210947, -2092533, -3322883?\n\"Answer: -9688*f**3 + 2*f**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 39*g**2 - 108*g - 1252. Give x(-37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 25. Let u(a) = 33*a + 4. Let s be u(4). Suppose 0 = 2*f + 8, 4*z - s = 3*f - 36. Calculate the smallest common multiple of z and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -6*l + 8*l - 1287. Calculate the highest common factor of l and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 508 divided by -127.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 25 = 5*t + 5, 5*t - 2*a = -5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)*y**(2\/63)*(y*y\/y**(3\/7)*y)**6)**(2\/17))**48 assuming y is positive.\nAnswer: y**(30160\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 + 2406*i**3 - 415797*i**2 - 2406*i + 415800 = 0.\nAnswer: -1, 1, 252, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 4332660.\nAnswer: 4332660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q + 2158 = -115*q + 71*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -6 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259524 greater than or equal to 259453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(12\/(-16)*-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u + 5*h + 5 = 0, 5*h + 2 = 4*u. Suppose 4*k - 5 = u. Suppose -5*f + 90 = -5*a, -60 = -2*f - k*f + a. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**4\/4 - 4*t**3\/3 + t**2 - 2*t + 10. What is n(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + s + 7 = -2*z, -4*z + 3*s - 19 = 0. Which is bigger: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 560, 1261, 2244, 3509, 5056, 6885?\nAnswer: 8996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 9*r + 34. What are the prime factors of p(8)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696336526?\nAnswer: 2, 23, 283, 130307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 0*w - 125 = 4*w - 3*w + 5*n, w - 29 = 2*n for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 1 = -o. Let s be (6\/o)\/(1\/10). Solve 0 = 4*t + t - s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 25 = 5*p, -g + 2 = 2*p + 3. Suppose 5*f + 3*m - 416 = 0, 4*f + p*m = 269 + 65. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2*a - 2*a)*(3 - 2*a + 2 - 4).\nAnswer: 4*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14666?\nAnswer: 2, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + 1 + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -119. Let m = z - -109. Is 40 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -638 + -23677?\nAnswer: -24315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*g - 0*g. Let b be ((-6)\/g)\/(2\/(-24)). Let o(z) = 2*z**2 + 6*z - 7. Let x be o(b). Solve 0 = -j + f + 9, j + 5*f + x = 2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1063 + 146413?\nAnswer: 145320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 10, 66, 176, 358, 630, 1010, 1516?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 712 = 2*m, 755 = 3*m + 2*u - 315. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + 245*d + 716. Calculate the least common multiple of k(-3) and (-105)\/(-2) - (-2)\/(-4).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05 + -1.50051903.\nAnswer: -1.55051903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-9))\/(2\/15). Let n(s) = -2*s**2 - 80*s + 653. Let g be n(7). Suppose 5*d = -0*d + 5. Sort g, 2, z, d in descending order.\nAnswer: z, 2, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -9. Let b = -4 - -18. What is the highest common factor of q and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288)*1*2 - sqrt(288))\/sqrt(8))\/((sqrt(108)\/(2*sqrt(9)) + sqrt(12))*-5).\nAnswer: -2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*f + 12 + 285. Suppose 0 = 5*d + 3*o - 74, -d - 3*o = -o - 19. Calculate the lowest common multiple of d and f.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 w when three letters picked without replacement from qwqq.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.61 - -0.19. Let x = q - 0.4. What is the nearest to 4 in 0.1, 2\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 289 + -421. Let n = i - -143. What is the smallest common multiple of n and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 174\/25 (c) -0.1 (d) -0.102 (e) -103\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 91.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 + -20202010?\nAnswer: -20201233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*c - 56 + 71, 6*p - 2*c + 20 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d - 5. Let j(z) = 161*z + 49. Determine 49*f(a) + 5*j(a).\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**2 + 4*j + 6. Let s(i) = 1. Let t(c) = f(c) - 6*s(c). Let h(n) = -5*n + 5. Give 6*h(q) + 14*t(q).\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h = -131*h + 1694 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 6. Let u = 5 + y. Let s(f) = -3*f**3 + 6*f**2 - 2*f - 27. Calculate the remainder when s(-2) is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 3*h**2 + h + 3. Let d be x(-1). Is -3\/10 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4011 + 4014. What is the highest common divisor of z and 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61, -58, -55, -52, -49, -46?\n\"Answer: 3*t - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of 4*y**3\/3 + 2*y**2 + 2*y. Let d be a(6). Suppose 0 = 2*z - 6*z + d. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -19*r + 27. Suppose 5*x + b - 3800 = 0, 3805 = 5*x - 3*b + r*b. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 13\/8 of a week?\nAnswer: 273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1150, -1132, -1114?\n\"Answer: 18*s - 1168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 3*c**2 - 2*c**2 - 2*c**4)*(c + 4*c - 3*c + 3*c - 3*c - 2*c + (-6 + 2 + 3)*(0*c - 3*c + 4*c) + c - 2*c + 0*c - 17*c + 0*c - 51*c - c - c + 4*c).\nAnswer: 68*c**5 - 68*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*k**3 + 27*k**3 + 55*k**2 + 10*k**2.\nAnswer: -76*k**3 + 65*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 11:12 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/14*3\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 5*h - 120. Let i = h + -10. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4) + 1811162\/4. Suppose n + p = -1687209. Let c be -3 + 6 + -2 - n. What is c rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -22. Let z = -237 - -241. What is the second smallest value in -48, d, z?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from oghhggggoogg.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288572663*c**3*x - 99354038*c**2*x wrt c?\nAnswer: 1731435978*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4260463758 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1707903*k**2 - 4218266*k + 1 wrt k?\nAnswer: 3415806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1573, 4324, 7073, 9820, 12565, 15308?\n\"Answer: -i**2 + 2754*i - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1591922 is divided by 83777.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -3. Let r = v - 10. What is the remainder when r is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1.0000209. Round o to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1627.831 to the nearest integer.\nAnswer: -1628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27399277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -46522437 and -46522428 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nunnnnuunn.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5)*(-4 + 4 + 6*k)*(k + 10*k - k**2 - 2*k)*(1 - 1 - 2*k).\nAnswer: 24*k**4 - 216*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**2 + 1\/5*z**3 + 0*z + 0 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - (37 - 20 - -24).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/16 and -55\/10393972?\nAnswer: 41575888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -190 divided by -3.\nAnswer: 190\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 56922\/5370 - 12\/((-2)\/(-2))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18590\/(-22308))\/(5\/((-45)\/(-24))).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 3*z**3 - 1305*z**2 - 96762*z + 2147040 = 0.\nAnswer: -80, 18, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/28)\/((-18)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 2*q + 0*q**3 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -0.1, 2, 0.1, -37.47, 27.\nAnswer: -37.47, -0.1, 0.1, 0.9, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(16\/52)*-32. Let a = -48 - r. What is the remainder when a is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1560972*t**3*z**2 + 3*t**3*z + 10*t**2*z**2 - 767*t**2*z - 3*t**2 - 7*t*z**2 - z wrt t?\nAnswer: -9365832*z**2 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/30 - g**4\/12 + 19*g**3\/6 - 8*g**2. Let u = 1 - 3. Let s(i) = i**2 - i + 9. Let c(k) = u*d(k) + 5*s(k). What is c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -9, 166?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yypsssyslsnylyyssy. What is prob of picking 1 s, 1 n, and 2 y?\nAnswer: 49\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - 30. Suppose -2*h + 0 = -10. Suppose 0 = 3*q - h - 130. What is the highest common divisor of q and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.09 in -0.1, 5\/2, 266\/457, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 37488167.\nAnswer: 112464501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 35964618894847.\nAnswer: -35964618894841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 8 - -15) + 12\/(-2). Let o(c) = c + 7. Let g be o(5). Solve s*j - g = j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8.8 + -12.7. Let r = b - -3.89981. Round r to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by -356.\nAnswer: -357\/356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/38 and (11\/(1881\/(-2)))\/(10\/1110).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*x - 2*k, 3*k - 6*k = x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/547599415 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1182000 and 67\/18000.\nAnswer: 3546000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22078189 - 22078189 + 3*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(2\/5))**(1\/12)\/(t**(-6)*t*t**1))**(7\/6) assuming t is positive.\nAnswer: t**(1771\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 6\/2 + 5. Let l be 91\/n + (-2)\/10. Calculate the highest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -6 (b) 3 (c) -0.799 (d) -0.1 (e) 1 (f) -0.06 (g) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34656 - 456*h - 3\/2*h**2 = 0. What is h?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27\/12)\/(6\/(-9120)*-15). Let u = 228 - c. Solve u = 3*p - 5 - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/13)\/(v\/(v\/(v\/v**(-4\/9)*v))))\/(v**(-6\/7)\/(v\/v**8)) assuming v is positive.\nAnswer: v**(-6781\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3535\/4 - -879. Let t = l - -131\/28. Find the common denominator of t and -151\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 211726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 166 - 157. Let l(z) = -z**2 + 5*z + 38. Let g be l(n). Solve 2*b - g*w - 4 = 4*b, b + 2 = -2*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 e when four letters picked without replacement from {c: 18, e: 2}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 7776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.0927.\nAnswer: -0.00927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -14\/3, 3\/4, 0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-157)\/(-106) + 1 - ((-8)\/28 - (-117)\/42)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13911\/7 - 1987. Put y, -2, 4, 12 in decreasing order.\nAnswer: 12, 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27478*h**2*l**3 - h**2*l + 2*h*l**2 - 21*l**3 + 6272*l - 16 wrt l.\nAnswer: 164868*h**2*l + 4*h - 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 11 - 10. Let i = 1 - 0. Let u be 2*5*7\/35. Sort i, u, -3, c.\nAnswer: -3, c, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let f = -3 - 22. Let d = f - -24. What is the nearest to u in -2, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8521 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 5*n**2 + 4*n + 2. Let j be u(4). Suppose r - 28 = 5*i, 2*r - j*i + 5*i - 56 = 0. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1052307.1 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3088252764 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 166 - 1828\/11. Let d = 104.9 - 91. Let o = -14 + d. Which is the second smallest value? (a) -5 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 222 = 4*j - 6*j, 3*o + 3*j = 159. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 16*y - 21. Give t(14).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 6 + 11 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -884776 and -206.\nAnswer: -884982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -36922166.\nAnswer: 516910324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/28587 = -12415?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 764 - -117. Suppose 348 = 2*g - 6*q + 2*q, 0 = -5*g - q + m. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -16801.2 - 154.27594?\nAnswer: -16955.47594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {i: 2, t: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*a - 104074 = -106114 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -29*b**4\/4 + 22*b**3\/3 + 13. Find the third derivative of x(p) wrt p.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -624 - -629. Suppose 5*v - 8 = -43. Let d be (12\/v)\/(4\/(-14)). Which is the smallest value? (a) 2\/11 (b) t (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 745473452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 876959712 and 3303?\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 487753 and -0.058.\nAnswer: -28289.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6975 and 63675.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4 = -i. Let a be (i\/(-18))\/((-3)\/9). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 11) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248 by -31.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 136809, 547436, 1231807, 2189928, 3421805, 4927444, 6706851, 8760032?\n\"Answer: t**3 + 136866*t**2 + 22*t - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, i: 1, g: 2, q: 4, o: 3}. Give prob of sequence qgg.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 147050?\nAnswer: -147044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 0, s + 6*g - 52 = 2*g. Suppose -76 = -5*q - 3*a, -5*q + 5*a = -s - 36. Solve 5*h - 5*v = 3 + q, -16 = -3*h - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*z + 11*z - 6*z)*(83*z - 172*z + 86*z) to o*z + q + j*z**2 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 10:01 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4510780099?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175984 + -324796. Let m = 104812 + u. What is m rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - ((-3 - 2) + 2)) + (-17 - -17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 10*w + 15.\nAnswer: -5*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 128*q**3 - 97*q**3 + 85*q**4 - 31*q**3 + 60 wrt q.\nAnswer: 340*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:58 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c - 12 = -x, -4*x + 76 = 3*c. Suppose -5*b + 6*b = 5*o + 8, 0 = 5*b - o - x. Solve 3*y + 4*k = 9, -b*y + 2*y - 13 = -4*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -203915.\nAnswer: -203914.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4635069 rounded to the nearest one hundred thousand?\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/57 and 12\/204*17 + 31\/3.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 2*b**2 + 4*b + 8. Is g(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -275 + 7744*s + 100\/3*s**3 - 880*s**2. Factor c(a).\nAnswer: 4*(5*a - 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2258446.\nAnswer: 2, 43, 26261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 163*m. Let o(f) = 38*f**2 - 2. What is o(q(u))?\nAnswer: 1009622*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 75. What is the remainder when 7 is divided by d(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -y - 221*k + 226*k, 5*k = -3*y + 37 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9202 - 0.9242005. Let i = k + 0.0039. Round i to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -247 + -13. Let t be (-108)\/10 - -1 - (-52)\/f. Let p be (t\/(-8))\/(16\/64). Solve p*y - 5 = -25 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + sqrt(468)).\nAnswer: -6*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 256773080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 7*i**2 - 5*i - 6. Give w(9).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 149250329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -q. Is (3980\/(-3))\/(-4) + q\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5442151384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c**2. Let i be (18 + -1 - (2 + 2))*1. Let g(q) = i*q**2 - 5*q**2 - 6*q**2. Calculate y(g(r)).\nAnswer: 52*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*t - 332 - 116 = 13*t for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75374826 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 509052 and 1332?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28341 - 28340. What is the fourth smallest value in 847, -0.4, -5, w?\nAnswer: 847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1698203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 21, -4, 5 in decreasing order.\nAnswer: 21, 5, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) -1 (c) 2\/3 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37 + 41. Solve 3*a - 3 = 9, -k = 2*c + a for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(19)) - sqrt(19)) + sqrt(76)\/sqrt(64).\nAnswer: -19*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 - 177*s - 7791. Calculate x(-94).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 10*y - 1. Determine r(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98762381145*t + 4*t**2 + 98762381145*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, -170, -397, -638, -893?\nAnswer: -1162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5855400?\nAnswer: -1\/5855400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 7*k + 2280 = -92*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/184608 and 103\/392292.\nAnswer: 3138336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-5)*4)\/sqrt(9).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17292 and 9024983.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 7 = 22*x - u, 2*x = 3*u - 21 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 656189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -20*d**2 - 9*d + 53. Let n(l) = -21*l**2 - 9*l + 53. Let q(b) = -4*g(b) + 3*n(b). Does 17 divide q(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3781 and 2388?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w*(w\/(((w*w\/(w**(-6)\/w*w)*w)\/w)\/w))\/w)\/w**(-2))\/((w\/(w**(-4\/7)\/w))\/(w*(w**(1\/8)\/w)\/w)))**(3\/8))**(-10) assuming w is positive.\nAnswer: w**(6255\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(4)\/sqrt(2)*-1 + -6*(1 + sqrt(2)) + -1*(sqrt(2)*2 - sqrt(2)) + sqrt(2).\nAnswer: -12*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f + 4. Calculate the smallest common multiple of 4675 and b(1).\nAnswer: 14025","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4332 * -313.\nAnswer: 1355916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46575 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 929112*u**2 - 3*u + 41231 wrt u?\nAnswer: 1858224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24916 is divided by 4973?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4 + 10*b**3 + 6275*b**2 + 4*b - 6273*b**2 - 14*b.\nAnswer: -2*b*(b - 5)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.068\nAnswer: -0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**4)**(-23)\/(p**(-6))**(5\/6))**(-1\/10) assuming p is positive.\nAnswer: p**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a decade in months?\nAnswer: 2460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -17*x - 76. What is i(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -60*a + 423. Suppose -5*o = -2*i - 35, -5*i = -2*o - 74 + 88. Calculate the least common multiple of b(o) and 47.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32531800.\nAnswer: 2, 5, 7, 19, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*a**2 - 40\/3 - 14\/9*a.\nAnswer: 2*(a - 12)*(a + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -8 + 4 - -5. Suppose 0 = -n*a + 4*k + 37 + 9, -2*a = k - 38. Calculate the lowest common multiple of 12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 155 = -2*h + p, -182 = -2*h + 4*p. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, y: 2, n: 1, j: 2, q: 2, h: 1}. What is prob of picking 2 j?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49503 - 49503 + 25*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6 - 24 - 0 - -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.8645575 litres?\nAnswer: 864.5575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274054343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 12) to base 7.\nAnswer: -341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/11 + 420*y\/11 - 22050\/11.\nAnswer: -2*(y - 105)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -l + i, -4*l - 18 + 267 = i. Calculate the remainder when l is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*f - 0*f - 179 + 505. Let m(n) = 17*n - 16. Let x(d) = -8*d + 8. Let j(u) = -u + 1. Let g(r) = -4*j(r) + x(r). Give f*m(p) - 9*g(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3. Let o be s(0). Calculate the smallest common multiple of o + 15 - 3\/(1 - 0) and 34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -16. Let g be (0 - v)\/(-4) + 4. Suppose 0 = -o - g*s + 15, 4*s = 5*o + 2*s - 53. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 28.85361 grams?\nAnswer: 0.02885361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 0, 2\/17 in ascending order.\nAnswer: 0, 2\/17, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -999527 * -0.3.\nAnswer: 299858.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8 = -4*d, -5*s + 19 - 21 = d. Solve 8 = 4*q - 4*c, q + 19 = -d*c + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -0*y + 3*y, 5*u + 7 = -y. Let w = 2 + y. Suppose -5*p + 7 + 53 = w. Solve -r = -5*r - t - 16, p = -4*r - 2*t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -174 - -1215\/7. Let c = 227.5 - 227. Let y = 8 - 6. Sort y, c, t.\nAnswer: t, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*p**2 + 18*p**2 - 35*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*a**3*x**3 - 13*a**3 + 10*a*x**4 - a*x**2 - 129*a wrt x.\nAnswer: 168*a**3 + 240*a*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 377790.27.\nAnswer: 377790.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9184661861 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - u**2. Let p = 1 - 1. Let g = -1 - p. Let z(j) be the third derivative of -j**6\/120 + j**3\/6 + j**2. Determine g*f(t) + z(t).\nAnswer: -2*t**3 + t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (286\/(-72) - (-2)\/9)*-4. Let y be (111\/f)\/(0 + 3\/15). Suppose -34*z + y*z - 81 = 0. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121100 - 121?\nAnswer: 11120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -113*r + 21. Let m be f(-12). Suppose 3*u + m = 5*b, -2*u + 3 = u. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (16 + 6 + -27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 9 - 1. Suppose c = -o*c + 75. Calculate the remainder when 98 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -414, -1280, -2580, -4320, -6506?\n\"Answer: -t**3 - 211*t**2 - 226*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 3*f - 6*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -4)\/((-1)\/4). Let p(q) = -q - 1. Let i(o) = -12*o. Let g(y) = -i(y) + 5*p(y). Is 14 a factor of g(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - (-42)\/10 - 26\/5. Let q(s) = -s - 4. Give q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 + 0*u**2 + 2*u**2)*(-1 + 1 + 2*u**3 - 3*u + 3*u + u**3 + 0*u**2 + u**3 + 0*u**2 + (-4 + 2*u**2 + 4)*(2 + 2*u - 2) - u**3 + 3*u**3 + 0*u**3).\nAnswer: 30*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tppptpipttiiitpta. Give prob of picking 1 a and 2 t.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 1, a: 2, d: 5, n: 2}. What is prob of picking 2 r?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50089 (base 15) to base 5.\nAnswer: 31101004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-65 - (-42 - 30)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 44 = w. Suppose 4*f = -3 + w. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 6*y**2 + 6. Let b(i) = -15*i**3 - 85*i**2 - 85. Calculate -6*b(s) - 85*m(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 55.32933t?\nAnswer: 55329330000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -48*i**2 + 3*i. Let n(r) = 20*r**2 - 18*r - 3. Let h(y) = 22*y**2 - 24*y - 4. Let j(u) = 3*h(u) - 4*n(u). What is k(j(d))?\nAnswer: -9408*d**4 - 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442372269.\nAnswer: 3, 19, 443, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5\/2 + 1111*l**4\/2 + 54733*l**3\/2 + 713905*l**2\/2 + 277625*l - 662500 = 0. What is l?\nAnswer: -1060, -25, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, -3.4, -9438?\nAnswer: -9438","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/3 - 28306*q**3\/3 - 89122800*q**2 - 845489888750*q\/3 - 25954087859375\/3.\nAnswer: -(q + 31)*(q + 9425)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30787?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*h - 61*h + 4*h + 17*h - 3*h to i + g*h and give g.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**5\/30 - d**4\/24 - 2*d**2. Let m be o(-1). Solve -2*b = m*a + 2*a + 12, a - 4*b - 2 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.2 - -0.2. Let m(h) = -h**3 - 7*h**2 - h - 17. Let n be m(-7). Let p(x) = x**3 + 10*x**2 + x + 6. Let z be p(n). Sort 3\/5, z, y in descending order.\nAnswer: 3\/5, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k**(1\/2)\/k))**18\/(k*((k*k**(-5)*k)\/k)\/k*k\/(k\/(((k\/k**8)\/k)\/k))*k) assuming k is positive.\nAnswer: k**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -887660 and -0.2.\nAnswer: 177532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -455 = 3*m - h - 0*h, 0 = -4*m + 2*h - 610. Let y = m - -167. Let p = 51 - 33. Solve -2*f + 3*l = y, 2*f - 2*l = -p + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 23*k**8\/56 + k**6\/40 + k**4\/24 + 539*k**3\/6 - 11*k**2 - k. Find the second derivative of y(x) wrt x.\nAnswer: 2760*x**3 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + y = 3, 29 = -5*o + 2*y + 34 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -45. Let d be (2 - 0)*z\/(-330). Is d greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215716 and 131340?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 9668546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -300, -327, -334, -315?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9737420.9999275 - 9737101. Let h = g + -320. Round h to six decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15956260 to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4. Suppose -2*i + 4 = -0*i. Solve -f + i*r = -8, m*f + f + 4*r - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uumtuumtutt. What is prob of sequence uum?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 + 1 - 1 + 1 - 2 + 1 + 0 - 3 + (1 + 0 + 1)*(1 - 3 + 1))*(-117 + 117 + 88*h) to the form r*h + k and give r.\nAnswer: -1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -4\/53 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14408 times -7.53?\nAnswer: -108492.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 7, 4 in increasing order.\nAnswer: -69, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 21 + 37. Suppose -2*a - l = -3*a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -40. Let n be 3 + 0 + (-4 - -1) + -16. Let w = h + n. Solve -5*l - w = 9, -4*u - 8 = 5*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34\/4165387 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-1*(1 + (sqrt(17) + sqrt(51)\/(sqrt(3) - (sqrt(3) + sqrt(12))) + sqrt(17) + 1 + -1 - (1*5*(sqrt(17) + -1 - sqrt(17)))**2)).\nAnswer: -6*sqrt(17) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 2*b + 2. Let s(d) = 4*d**2 - 9*d + 9. What is -9*l(m) + 2*s(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62662.74 microseconds to seconds.\nAnswer: 0.06266274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -w - 8, -5*g - 3 + 23 = -3*w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24680024 and 185100180.\nAnswer: 370200360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/90 + 64*c**3\/9 - 212*c**2\/5 + 810*c + 1. Determine b, given that o(b) = 0.\nAnswer: 2, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.45 * -387.9\nAnswer: -174.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 62868440.344?\nAnswer: -62868413.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3086*s + 854*s + 800*s + 569*s + 825*s.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 7*n**2 - n - 9. Let t be r(-7). Let z = -1 - t. Suppose f - 2*f = 0. Is z less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - o. Let f be l(-1). List the prime factors of (3 - (f - -4)) + 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35669*a**5*u - 755*a**4*u**2 - 413*a**2*u**2 + 3*a**2*u - 53*a**2 - 4*a*u + 5*u**2 + 1 wrt a.\nAnswer: -2140140*a**2*u - 18120*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {f: 10, a: 3, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -9, 5, -1, -2.\nAnswer: -9, -7, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 8*v. Let a be (v - -3)\/2 + 2. Suppose 4*f - 1 - 3 = 0. Solve -i + f = -4*z + 3*z, a*z - 4 = 2*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*x - 272548 + 257701 = -74*x for x.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (sqrt(475) - (sqrt(475)*-1*4)**2))*-3*-5.\nAnswer: -375*sqrt(19) + 569700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + 10 - (0 - -1)) + -1 + 5 + -33\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfkkfffkkkkffkkffkkf. Give prob of sequence kffk.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2056 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -2\/5*a**5 - 6*a + 0*a**2 + 0*a**4 + 0 + 7\/6*a**3. Find the second derivative of o(w) wrt w.\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-16))\/(i*i*i*i\/((i\/i**13)\/i)))\/(i**(-1\/14)\/i**(-24)) assuming i is positive.\nAnswer: i**(-783\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143 - -11440?\nAnswer: 11253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114405*g + 114402*g - g**2 + 47*g**2 to the form c*g**2 + t + h*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33851*l**2*q**2 + 3*l**2*q - 22841*l**2 wrt q.\nAnswer: 67702*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1715259, -6861019, -15437279, -27444039, -42881299, -61749059, -84047319?\n\"Answer: -1715250*c**2 - 10*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12736 and 67264?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 4*m**2 + m + 1040. What are the prime factors of x(0)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193380865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 4\/9, 10\/3581?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 - 22*o\/13 - 4.\nAnswer: 2*(o - 13)*(o + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248.08 + -243. Let w = z + -0.08. Let n be -8*(-1)\/2 - 1. What is the second smallest value in -0.5, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/217 - 227\/1085. What is the closest to a in 2\/17, 3, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 7:27 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.821 - 0.079. Let l = z + 5. Which is the nearest to l? (a) -4 (b) -2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 113*y**4 - 264*y. Let d(h) = -57*h**4 + 131*h. Let s = -71 + 67. Let w(n) = s*f(n) - 9*d(n). Find the second derivative of w(x) wrt x.\nAnswer: 732*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*(sqrt(44) + -1 - sqrt(44)) + sqrt(33)\/((sqrt(60)\/sqrt(4))\/sqrt(5))*-2)**2.\nAnswer: 12*sqrt(11) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*x**2 + 207*x**2 - 100*x**2.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 1)*(-8*x - 3*x + 3*x) to the form f + h*x and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4 - 4090*p**3 + 8183*p**2 - 4092*p.\nAnswer: -p*(p - 1)**2*(p + 4092)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**3 - 2*y**2 - 2*y + 15. What is the tens digit of n(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 696 - 696. Let p(n) be the second derivative of 0*n**2 - 3*n - 1\/12*n**4 + 2\/15*n**6 + h + 0*n**5 + 0*n**3. What is the third derivative of p(z) wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 2:12 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(11) + -1) + -1*sqrt(891).\nAnswer: -5*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 86*x + 2950. Let v(u) = 29*u + 3. Determine 2*m(s) - 6*v(s).\nAnswer: -2*s + 5882","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 6*u**2 - 4*u + 1. Give w(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1207.000001064 + -1207. What is c rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.5 (b) -0.4 (c) -33\/7 (d) 2\/13 (e) -4.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x**2 - 6*x - 10. What is the tens digit of k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 703 is divided by 72.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001547083877 rounded to seven decimal places?\nAnswer: -0.0015471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*d - 100247 + 9384 = 0, -5*d - 181816 = -2*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*((sqrt(891) + 0 + sqrt(891) + 0)*6*-3 + 0))**2 + 4.\nAnswer: -27713660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35499 (base 11) in base 2?\nAnswer: 1100011111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 23*w + 4. Calculate t(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 - -0.29. Let h = -0.1 + 0.17. Let i = h + l. What is the third biggest value in i, 1, -2\/19?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.5 + 14. Let z(y) = 6*y**3 - y. Let k be z(1). What is the nearest to 1 in 3\/7, k, c?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 3 + b - 39*b**2 + 6*b**2.\nAnswer: -33*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -15, 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 4*l**2 + 17*l + 22. Let s be z(9). Calculate the greatest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -51. Let z = -41.38 + v. What is z rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 483.7 - 484. What is the nearest to 0.3 in -0.2, 1, 3\/2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v. Let b(j) = 762907*j + 1. Give b(s(i)).\nAnswer: -762907*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1167944714?\nAnswer: 2, 583972357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from jjjoh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/25850 and -57\/157685?\nAnswer: 1576850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 2231639*p\/4.\nAnswer: -p*(p + 2231639)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/406 and 41\/294.\nAnswer: 8526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -5\/8*m**4 + 3\/10*m**5 + 5\/4*m**2 + m - 8 - 5\/6*m**3. Solve a(l) = 0.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 613*d**3 - 14*d**2 + 3*d + 2. Let c(g) = 1226*g**3 - 34*g**2 + 6*g + 5. Calculate 2*c(f) - 5*o(f).\nAnswer: -613*f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3997 + -1682. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 86*t + 20. Let n be h(21). Calculate the common denominator of 13\/33 and (-4760)\/(-90)*(n\/(-144))\/(-11).\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e2 (base 16) to base 2\nAnswer: -11100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/3)\/(7\/(-61950000)). Round h to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5) - (sqrt(320) - (sqrt(320) - (sqrt(320) + sqrt(320) + (sqrt(320)*-1)**2)))) + -6*-1*sqrt(5) + 0 + sqrt(320) + 0).\nAnswer: -1920 - 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/2 - 1) + (-3143)\/(-4041). What is the nearest to x in 106, -1, -1\/4, -0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -41, -42, -45, -50?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 a factor of 1680264570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Suppose w*i + 879 = 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-2430 - (-5 + 1 + 0)). Let l = y - -5974. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 346 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 10\/(-6) - (-14)\/6. Let j be (-2)\/14*d + (-93)\/(-105). Which is the nearest to 2? (a) j (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 110 = -t + 4*m, 2*t - 4*m = 184. Let u = -92 + t. Solve -2*x = 2 + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/5))**(-1\/6)*a**13\/(a*a**(2\/3)) assuming a is positive.\nAnswer: a**(166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(2*2\/(-4)). Let u be 5\/(z\/(-9)) - -31. Let h = 644 - 338. Calculate the highest common divisor of u and h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**2 + 4*b + 2. Suppose n - 2*n + 4 = 0. Let s be v(n). Suppose 3*r - 40 = d - 6*d, -s*r + 5*d + 10 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 23*o**2 - 20*o + 80. Let g be r(-24). Let n(j) = -29*j + 251. What is the hundreds digit of n(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58824 divided by 3096\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10164 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 691, 4, 59, 2 in increasing order.\nAnswer: 2, 4, 59, 691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/15))**(2\/7) assuming w is positive.\nAnswer: w**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 6*b - 6. Let g = -3 - -6. Let h = 4 + g. Let q be l(h). Let o(m) = -4*m**2 + m. Give o(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 10. Let f be -2*(2 + 10\/(-4)). Sort m, -1, f in decreasing order.\nAnswer: f, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2 + 358*d = 0. What is d?\nAnswer: -179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2064*z**2 - 1162*z**2 + 393*z**2 - 1.\nAnswer: 1295*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453*m + 1027954 = 455*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -473, -4, 1, -2, -16 in ascending order.\nAnswer: -473, -16, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 1\/12*y**4 + 0*y**2 - 1\/3*y**3 - 2*y + 0 + 3\/20*y**5. Solve h(m) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210 - 10000?\nAnswer: -11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 8*i**2 - 2*i - 6. Suppose 3 = p + 2, 0 = 4*s + 2*p + 34. Let k(y) = -5*y**3 + 33*y**2 - 9*y - 25. Let j(t) = s*c(t) + 2*k(t). What is j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(99) + -1.\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2}. What is prob of sequence hjh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: a1b40a (base 12) to base 6\nAnswer: 130110414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/5 (c) -741 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 + 11*k - 2. Let w be c(-5). Suppose 27 = 3*y - w. Calculate the greatest common factor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 52*v**2 - 692*v + 55. Let m be g(-63). Let r(k) = -k**3 - 9*k**2 - 8*k. What is r(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9765.\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*6\/264*(-2)\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 63.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -733 - 17. Let y be (o\/(-9))\/((-3)\/(-9)). Suppose 2*c - y = -3*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2101 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -13*a**2 + 1. Let y be k(1). Let o(b) = -440846*b - 152. Let f be o(y). Round f to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 3*d = -0 - 15 - 11, -20 = 5*d for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 109 - 31)*(-349 - 54*v + 349) to the form q + k*v and give k.\nAnswer: 5562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 17920*o + 20070400 = 0. What is o?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/229 and -2\/3?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h + 9. Let a(x) = -6*x - 8*x + 18*x - 9 - 3*x. Let g be a(3). Let y be f(g). Calculate the greatest common factor of 297 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19836 + -654520\/33. What is the common denominator of j and -43\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**4\/7 - 26*h**3\/7 - 2064*h**2\/7 + 37448*h\/7 - 35360\/7 = 0?\nAnswer: -34, 1, 20, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -13. Let y = 10 + x. Is (-498)\/9*6\/y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 11. Let y(x) = -2*x - 12. Give 3*n(j) - 2*y(j).\nAnswer: j - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 25*t**3*v + 8*t**2*v - 15*t*v + 17*t wrt t?\nAnswer: 24*t**2 - 150*t*v + 16*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 - 137.9. What is the nearest to i in 5, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 24. Let h = 25 + c. Let w = h - 8. Are -1 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-42) - 346\/(-14). Let k = -94 + 96. Solve -4*i - m = k*o - o, -4*o - 35 = 3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1188)\/(-42)*2254\/1771\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*-5*(-1 + (sqrt(1900) - 3*sqrt(1900))**2*-5).\nAnswer: 380008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5615.\nAnswer: 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-3))\/(r*r**7\/r)*(r*r**(-2\/19)*r)\/r*r\/(r**4\/r))\/(r**(-5)\/(r\/r**(-5\/3))*(r*r**(1\/4))\/(r*r\/(r\/(r\/(r*r**7*r*r)*r)*r*r)*r)) assuming r is positive.\nAnswer: r**(-2665\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 10:56 PM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + t**2 - t + 40. Let l(a) = a**2 + 7*a + 6. Let c be l(-6). Is d(c) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-7 - -24 - 8 - (22 + 14))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39*(-3 + -3 + (11 - 455\/105))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-427 + 0*m**2 + 436 + 2*m**2)*((-2*m + 5 - 5)*(-1 - 3 + 2) - 3*m + 2*m + 2*m).\nAnswer: 10*m**3 + 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.2 and 5.636.\nAnswer: 4.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 - 8 = s, w = -4*s + 14. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5577+-3351.6049563\nAnswer: 2225.3950437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8736*b**2 + 4366*b**2 + 4369*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -731 in descending order.\nAnswer: 4, -3, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 576789 to the nearest integer?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -3104.\nAnswer: 1\/3104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -122*o + 1935. Let c(j) = -346*j + 5803. Calculate -6*c(k) + 17*y(k).\nAnswer: 2*k - 1923","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196178847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50438 + 140469. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/4 - m**4 - 5*m**3\/4 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -13117.\nAnswer: -13117.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2. Let y(v) = -64977528*v. Determine y(q(h)).\nAnswer: 64977528*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 251\/12*s**4 + 56*s - 1 + 125\/3*s**3 + 0*s**2. What is the second derivative of z(a) wrt a?\nAnswer: 502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q + 2 + 5*q - 2 to d*q + b and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let p be (-298)\/(-6) - (-1)\/3. Let t = r + p. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 23599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3\/7 + 4444*l**2\/21 + 36686*l\/7 - 37180\/21 = 0. What is l?\nAnswer: -715, -26, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3364 plus -58068869?\nAnswer: -58072233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.737753 millilitres to litres.\nAnswer: 0.009737753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3094278)\/326970 - (-20)\/315.\nAnswer: -47\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 124*o - 529. Determine b(59).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/85 or -1\/922?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 4*u + 18 as v*u + j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (121 + 209 + 431 - 227 + 487)*(0*r**2 + r**2 - 4*r**2) in the form q + y*r**2 + v*r and give y.\nAnswer: -3063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 54, 123, 248, 447, 738, 1139?\nAnswer: 1668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 865*i + 12755. Calculate u(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7246 - 7365. Is w greater than or equal to -128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 60*j - 101*j + 3015 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/91 + -2\/13. Let u = -491467 - -491451. Which is the third biggest value? (a) p (b) 1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - -14274?\nAnswer: 14246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 7*y - 13. Let s be d(5). Solve 3*h - 11*q = -9*q + 9, -s*h + 13 = q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2\/3 - 40328*v\/3 + 403480\/3 = 0. What is v?\nAnswer: -20174, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zoiplpfppzozlfzpzflf. What is prob of picking 2 o, 1 f, and 1 i?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3652803269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, f: 2, j: 2, r: 4, k: 2, n: 3}. Give prob of picking 1 n, 1 j, and 1 f.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 20. Suppose -2*q + 2*t = 3*q - 44, q - 6 = -t. Suppose -2*x + 6 = 3*v, -2*x + 4*v - q = -0*x. Let r be u(x). Solve -4*d + 0*d = -r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3*l + 423 = 0, 4*h - 8*h - 334 = -2*l. What is the common denominator of 145\/72 and (327\/108 - 3)*(-13 - h)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449 (base 10) in base 7?\nAnswer: -1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3970 to the nearest 100.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196*(-1457)\/87984*12 + (-1)\/(39\/2).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/3))**(2\/3)*(m*m**(1\/4)*m)\/m**0 assuming m is positive.\nAnswer: m**(97\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-6)*51\/(-34) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 - 1a0625?\nAnswer: -1a05a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -2*l - 3*g, -4*l - 5*g + 180 = -g. Suppose -42*p = -l*p - 24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*m - 755 = -0*r, 0 = -3*r + 5*m + 490. What is the remainder when r is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -579. Does 42 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5, -1339\/6, 1\/41?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {e: 1, j: 11, i: 1, h: 2, a: 1}?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.2 + -27.4. Which is the third biggest value? (a) -0.5 (b) 5 (c) g (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 2.924858?\nAnswer: 14.62429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 less than or equal to 7412\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**3\/6 + 3*u**2\/2 - u. Let m be (-39)\/(-6) + 1\/(-2). Let g(h) = 4*h + 13. Calculate m*g(b) - 26*w(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -261*l - 105585. What is f(-404)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10005.000046705 + -10005. What is g rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130534437 divided by 43511479\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**9\/84 - 13*m**5\/30 - 17*m**2 + 23*m. Let a(t) be the first derivative of l(t). Find the third derivative of a(c) wrt c.\nAnswer: -720*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c - 7. Suppose 6*u + 3*t = u - 70, u + 5*t = -36. What are the prime factors of j(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (18 + -14 - (7 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 12*r + 3. Let l(t) = -t + 1. Let h(o) = -i(o) - 5*l(o). Let c be 4*1*56\/32. Let d be h(c). Which is bigger: d or 40?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 406*b*h*k**2 + 6*b*k**3 - 1690*h*k**3 + 2*h*k - 7*h wrt b?\nAnswer: 406*h*k**2 + 6*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29794.28 millilitres to litres.\nAnswer: 29.79428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103031145 and 5?\nAnswer: 515155725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 b, and 1 c when four letters picked without replacement from gbgxggccggcgccc?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 23*j**2 + 93*j + 10. Give v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864457389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 962*o + 984*o - o**2 - 52*o to the form k + n*o + q*o**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**2 - 5*m - 8. Let u be p(4). Suppose -4*z - c - u = c, -4*z = 3*c + 86. Is z smaller than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 = 3*s + 2*s. Suppose 0 = -2*p - 13 + s. What is the remainder when p is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 4. Calculate n(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 + 599*b**2 + 130*b - 69. Let o be f(120). Calculate the greatest common factor of 312 and o.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12) - 4)\/(4050\/360)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/9))**8)**(-16)*(l**(-1))**(1\/45)*(l**1)**(-19) assuming l is positive.\nAnswer: l**(-2632\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -280332 at least as big as -280419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + 3*j + 3. Let h be n(-2). Let x = 2 + h. Let o = x - 0. Solve k - 7 = -6*i + i, 4*k - o*i - 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/268 and -103\/21440.\nAnswer: 21440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6874199)\/(-2097) - (-2)\/(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 9024.\nAnswer: 9024.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223334403200 + 0?\nAnswer: 223334403200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26508 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11*n**2 - 1. Let r(p) = -5*p**2 - 3*p - 2. Let g be r(-1). Let o be u(g). Calculate the greatest common factor of o and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 4. Let d be 2712\/63*(-6)\/(-8). Let y = d + -32. Which is the smallest value? (a) u (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.91 * -1448.\nAnswer: -1317.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 - 210*x**4 + 600*x**3 - 590*x**2 + 195*x.\nAnswer: 5*x*(x - 39)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1194\/19 or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6344 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2114010 divided by 7470?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 93 divided by -1\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 330?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 85 (c) -5 (d) 8 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 8:13 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 6:22 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*w - 101*w + 39750 = 0. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + (-72)\/16)\/(1\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {a: 1, i: 2, k: 2, v: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 9*z**2 - 6*z**2 - z**3 + 6 + 5*z**2. Let l be h(8). Solve 3*t + 15 = l for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*d - 101*d - 47*d + 5*d.\nAnswer: -231*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -8781540?\nAnswer: 8781537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 9*a - 1794 = 0. What is the highest common divisor of 39 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(2\/7)\/s)\/s))\/s**(-1\/9)*((s*s**0)\/s*s)**(1\/3))**28 assuming s is positive.\nAnswer: s**(796\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -18 (c) -109 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times -27766?\nAnswer: -1804.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 326564 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 6*z - 18. Solve -2*o - 2*c + 5 = -z, 5*c = 4*o + 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 3*v + 6. Calculate the smallest common multiple of t(5) and 0 - (1 + 0 + -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8547*k**2 + 1291 + 652*k - 1291 + 992*k wrt k.\nAnswer: -17094","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8765 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -173 greater than -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -16. Let k(y) = 8*y**2 - 3*y - 5. Let w be k(z). Suppose 12 = -q - 2*q, -5*g + 2*q = -w. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -20. Find the second derivative of -x**3 + 39*x**2 - 12*x - 39*x**l wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30040 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*m - 511971 + 99546 = 0. Is 47 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31849\/60 greater than 532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550987?\nAnswer: 17, 32411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 626629.8 nanograms in grams?\nAnswer: 0.0006266298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 12*f**2 - 27*f - 175. Let o be x(-11). Which is the nearest to o? (a) -5 (b) -13\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 1\/2*p**2 + 0*p**3 + 50 - 2*p + 193001\/4*p**4. Let x be q(1). What is x rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(-30) assuming w is positive.\nAnswer: w**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/4406034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + -2 + (23 - -71674). What is m rounded to the nearest 1000?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*t + 10 = 0, -15 = 6*k - 4*k + 5*t. Suppose -s = -5*l + 23, -k*s = -7*s + 4. Suppose 0 = i + 2. Put i, 0, l in ascending order.\nAnswer: i, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -10*r**3 + 56804*r**2 - 136254*r - 102204 = 0.\nAnswer: -3\/5, 3, 5678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8314*v - 257714. Calculate n(31).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16391 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29\/(-3) + (224\/3024 - (-723)\/81).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a factor of 73748291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1262 and 20350.\nAnswer: 12840850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -21*v**2. Let x be 27\/42*6 + 2\/14. Let q(d) = -4 - 221*d + x + 212*d. Determine m(q(j)).\nAnswer: -1701*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(0 + 2 - 4). Let r(x) = -x**3 - 3*x**2 - 4*x - 3. Let m be r(g). Which is the closest to m? (a) -0.4 (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**2 + o + 2. Let l be -2 + (-3)\/((-6)\/8). Suppose l*s = -4*p, 2*p + s = -4*s + 16. What is the tens digit of f(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 255555?\nAnswer: -255545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**4 - 2*r**2 + 9. Factor d(l).\nAnswer: 4*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = 4*s + k - 2*k, -608*s = 602*s - 1212*s + 5*k - 46 for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7989.06 + -7989. What is the nearest to -2 in 4\/11, f, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2275 - 1782. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**3 + 2*p**3 - 4*p**3 + 9*p**2 + (2*p + 5*p**2 - 2*p)*(-6*p + 18*p + 2*p) to i*p**2 + n*p + b + c*p**3 and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 140*s + 256. List the prime factors of i(8).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + -2.95. Let u = -0.11 - -7.11. Let n = u + h. What is the biggest value in 5, n, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*i + 17, -2*p - 16 = -6. Let w(z) = 13*z**2 - 3*z + 1. What is the least common multiple of 259 and w(i)?\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.1. Let t(v) be the second derivative of v**3\/6 - 7*v**2\/2 + v. Let f be t(8). Which is the closest to f? (a) s (b) 4\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + -8?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3223 + -0.4777. Which is the nearest to -0.2? (a) u (b) -4\/7 (c) 1\/3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*408\/44 - (-5)\/((-605)\/22)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 11*u + 40. Determine s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2392696?\nAnswer: 2, 299087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5 + 5314*c**4 - 116272*c**3 - 804822*c**2 + 2317329*c + 3000564 = 0.\nAnswer: -7, -1, 3, 27, 5292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47904 or 47928?\nAnswer: 47904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16595 and 3319.\nAnswer: 16595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6 = -r - 4, i - 2 = -3*r. Suppose -i*x + 2*y = -484, -756 = -2*x - x - 3*y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175456965 is divided by 67?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 2}. Give prob of picking 2 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 103951\nAnswer: -3\/103951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204775 to the power of 1\/3, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**4\/4 - x**3\/3 - x**2 + 10*x - 514. What is t(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 612*a**6*k + 2*a**6 - 9*a**2*k - 8*a*k wrt a.\nAnswer: 73440*a**3*k + 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26\/381 + 3068\/3429. Calculate the common denominator of 14\/27 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from tisbjjic?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 1, n: 1, p: 1, u: 1, q: 1}. What is prob of sequence gz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1464 * 2.\nAnswer: 2928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -11\/270*h**5 + 1\/1512*h**8 + 0*h - 1\/27*h**4 + 0*h**3 + 3*h**2 - 1\/945*h**7 - 31 - 1\/60*h**6. What is m in a(m) = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 776 and 56?\nAnswer: 5432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*c**3*f**3 - 6*c**3*f + 6*c**3 + 2222*c**2*f**3 - 9 wrt c.\nAnswer: 660*f**3 - 36*f + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 + -94. Let x(q) be the first derivative of q**4\/4 - 23*q**3\/3 + 11*q**2 - 3. Let y be x(i). Solve -4*c + m - 2 = y, 5*c - m + 4*m = 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7446.\nAnswer: 2, 3, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**3\/3 - 9*m**2\/2 + 12*m + 1. Calculate the lowest common multiple of 6 and w(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r - 2. Let y be s(1). Suppose 4*w - y*w = 10. Let q be -5 + w - (-3)\/5. What is the nearest to -1\/2 in -5, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2 = -3, 4*f + 9 = 5*p. Let d(o) be the first derivative of o**3\/3 - 3*o**2 + 4*o - 1. Determine d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 7*f + 2043. Determine n(62).\nAnswer: -1367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 - 25*q**3 - 2*q**3)*(-2*q - 4*q - 7*q).\nAnswer: 286*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*n + n - 9, 6*y - 18*y + 3*n = 51 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 136 and 2331278.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 266\/931 - (-110)\/7. Solve -r = 3*j - 11*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348 and 120872.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - r + 5*r - 6 = 0, -5*y + r - 18 = 0. Let o = 27 + y. Suppose -22 = -5*m + 43. Calculate the remainder when o is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 0. Suppose 4 = 5*o + s + 8, -2*s + 5 = -3*o. Put b, o, -2 in increasing order.\nAnswer: -2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 + 4*g + 3. Suppose -4*z = -12, -2*j + 4 = 2*j - 4*z. Let x(h) = 6*h + 2. Calculate the remainder when x(j) is divided by w(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2520)\/(-27))\/20*21\/1813?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2553558364 - 6603*a - 2553558364.\nAnswer: -6603*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43400)\/(-279))\/25*(-36)\/8.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.415 - 1.485. Which is the closest to -2? (a) q (b) -0.2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 273*q - 91*q - 5)*(q**2 + 2*q - 2*q).\nAnswer: 182*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 * 2.3\nAnswer: 0.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 + 102. Let x be ((-183)\/36 - -5)\/(g\/(-8)). What is the nearest to x in -0.7, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 12:51 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:06 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, s: 3, h: 1, c: 4}. What is prob of picking 1 s and 1 c?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24851023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19548.93ug in grams?\nAnswer: 0.01954893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3348 is divided by 825.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = 3*f. Let p = 17 + f. Find the second derivative of 0*i + 3*i - i - 6*i**4 + p*i wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 32, 60, 124, 236, 408?\n\"Answer: 2*n**3 - 10*n + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/10)\/(16\/(-40)). Sort -1, 0, w in decreasing order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -s + 4*u, -u = 5*s - 2*u + 7. Let d(r) = -r**3 + 2*r - 5 + 2 - 6*r. Is d(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 21*y**2 - 28*y - 20. Determine o(21).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -15, -11?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-352)\/36 + 10\/(-45). Let x be (3\/j)\/(78\/(-195)). What is the nearest to -0.1 in -0.1, 10, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*d - d**2 - 223*d + 4*d)*(d - 3*d**2 + d**2 + 0*d) as b*d**3 + m*d**4 + g*d + h + a*d**2 and give a.\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(121)\/(sqrt(77)\/(sqrt(14)\/sqrt(2))) - (sqrt(704)*2 - (sqrt(1584) + (sqrt(1584) + sqrt(1584) + (0 + sqrt(1584))**2 - sqrt(1584))))) + 2)*4.\nAnswer: 36*sqrt(11) + 6364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -6. Let l(a) be the third derivative of a**5\/60 - a**4\/24 - 19*a**3\/6 - a**2. What is the remainder when l(8) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52\/135 + -5\/27. Let l = 5.03 + -0.03. Suppose -24 = -575*h + 573*h + 2*w, 45 = -5*w. Which is the closest to l? (a) t (b) 2\/7 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from eeceecececcececeeee.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:43 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 994866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:16 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 4*r**2 + r - 2. Let d be p(4). Suppose -h - i = 1, 0 = -5*h - 3*i - 0*i - 1. Solve 0 = -d*l - 4*g + 24, 5*l + h - 41 = -5*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c + 1. Let r(u) = -u**2 - 7*u - 3. Let x be r(-7). Let h = x + 4. Determine o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and -1188.\nAnswer: -14256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 24549.6.\nAnswer: 1227.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 524039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 14 + 1 + 0 - -3 - 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 679 - 870. Let a = 141.3 + v. Is -1 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let l(o) = 13*o**2 + 12*o**2 + 12*o**2 - 34*o**2. Calculate l(r(x)).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 33*g**3 + g**2 + 4*g + 3. Let y be s(-2). Let o = y - -398. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 1051016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42739?\nAnswer: 79, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -501*-4.822.\nAnswer: 2415.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1660?\nAnswer: -1\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 5:09 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13150910?\nAnswer: 2, 5, 37, 35543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -186, -173, -162, -153, -146, -141, -138?\n\"Answer: -p**2 + 16*p - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35752707*i**6 + i**2 + 58693*i - 75 wrt i.\nAnswer: 4290324840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 + 21\/2)\/(2\/(-20)). Let g = 68 + f. Let v be 1\/(-2) - (-62)\/4. Calculate the highest common factor of g and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let x = -1534 + 1583.9. Let w = 32.9 - x. What is the closest to 2\/5 in -2, y, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/18615 and 149\/24?\nAnswer: 148920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1779833 is divided by 254261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*g - 233, 10*d - 14*d = 2*g - 318. Let b be -1 - 6\/(-2) - -2. Suppose 396 = 4*y - b*z, -3*y = -4*y - 4*z + d. List the prime factors of y.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:11 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 3. Let v(g) = g. Calculate u(o) - 4*v(o).\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 11:54 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let o be (2 + z)*1*3. Suppose 0*u + y = 3*u + 8, -o*u = -3*y + 12. Put -4, u, -3 in descending order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = y - 7, 0*y + 4*y + 5*v = 25. What is the common denominator of 32\/5 and 0 + (-2)\/(12\/y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + 0.49. Let t = -1144.5 + 1145. Let b = -5 + 5.3. Put t, n, b in increasing order.\nAnswer: b, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 331500.\nAnswer: 2, 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 65 - 11. Let o be 1*-1 - (-12)\/b*-3. Solve -3 = 2*k - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - (52 + -4 + -25).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2218 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000218779029 rounded to six dps?\nAnswer: 0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -43*x. Let a(q) = -18*q + 5. Let t(p) = 21*p - 6. Let v(z) = -6*a(z) - 5*t(z). Give f(v(h)).\nAnswer: -129*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-30)\/3 - (14 - 24)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0004 - -0.0196. Let z(f) = 5*f + 6. Let j be z(2). Let v(l) = 2*l - 27. Let m be v(j). Which is the biggest value? (a) y (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831440002 to the power of 1\/2, to the nearest integer?\nAnswer: 82653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f - 6. Let c = 12 + -16. Suppose 0 = 3*t - 3*m - 12, 3*t - 5*m = t + 5. Let j(d) = -4*d - 7. Give c*j(l) + t*u(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**3 + 0*f + 0 - 5\/8*f**4 - 10*f**2. Let i(r) = 3*r - 1. Determine -11*i(a) - 2*z(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**4 - 188*o - 188*o + o**2 + 374*o - 1 - 46*o**3 in the form j*o**2 + h*o + p + c*o**4 + y*o**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y - 9. Let w(x) = 3*x + 17. Let m(s) = -5*g(s) - 3*w(s). Give m(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/(-120)*(-45)\/(-6)*20\/(-135).\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12559, -12555, -12537, -12499, -12435?\nAnswer: -12339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 a factor of 3433738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*l - 2. Let p be -2 + (14 - (0 - 4)). Let j be 26\/(-22) + p\/16. Sort j, l, 0.2 in descending order.\nAnswer: 0.2, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(847) - sqrt(847))*-1 + sqrt(847)*2*-6)**2.\nAnswer: 528*sqrt(7) + 121972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13342\/953*2\/(-8).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -86, 35, -4 in descending order.\nAnswer: 35, -3, -4, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.4, 1\/4, 11, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 7 = d - 2, -28 = -4*d - 4*x. Suppose -3*s - 3*u = -18, -4*u = -d*s + 10 + 2. Let v(c) = c + 2. Calculate the least common multiple of 4 and v(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (10\/28)\/((-4)\/(-6)). Let k = 41\/224 + c. Find the common denominator of ((-143)\/363)\/(1 + (-5)\/3) and k.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6130, -12274, -18432, -24610, -30814, -37050, -43324?\n\"Answer: -z**3 - z**2 - 6134*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-45)*-6*(-1 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/18 - 190\/(-45). Suppose z + 4*m = -0*m - 4, -n*m - 28 = -5*z. Find the second derivative of -673*x**2 + 673*x**2 + x + 11*x**z wrt x.\nAnswer: 132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 4*x**2 - 6*x + 3. Let i be z(5). Let c be 1664595\/2 + (-1)\/i. Let m = 232298 - c. What is m rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4*(2 + sqrt(147)) - sqrt(147) - sqrt(147)) + 2.\nAnswer: -42*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - -4 - (1 - -2). Let s be 1 - 1 - (o - 1). Suppose z = -s*z + 15. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5257*s**2 + 28*s + 65924 wrt s?\nAnswer: -10514*s + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + 7)\/((-44)\/(-770)). Calculate the greatest common factor of 15540 and q.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, -5\/6, -2, -6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a - 33 - 261 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, j: 1, h: 2, n: 1, y: 2, z: 1}. What is prob of sequence mzh?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 37. Suppose -2 + u = -s. Let p be 8\/36 - 25\/s. Calculate the greatest common factor of 2 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (-91 - -68).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134086.\nAnswer: 2, 67043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7) + sqrt(7) + 4 + 1)**2 + (sqrt(63) + 1*sqrt(189)\/sqrt(3))**2.\nAnswer: 20*sqrt(7) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 314 (c) 2 (d) 2.3 (e) -0.2 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7\/3 - 43\/21. Let -m*g**2 + 0 + 0*g = 0. Calculate g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a day in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/(-11))\/(-4))\/(-7).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31929, -31930, -31931, -31926, -31909?\nAnswer: -31874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24171, -46952, -69733, -92514?\nAnswer: -115295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -7*k**3 + 3*k**2 + 8*k + 1. Let i be y(-2). Solve -2*d = i*d + 330 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17387 and 0.4.\nAnswer: -17386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*x - 3*x - 53, 34 = -4*x - i. Put x, 0, 0.15 in ascending order.\nAnswer: x, 0, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -78\/17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, w: 2, p: 1, t: 4}. What is prob of sequence taaw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 78341563 to the power of 1\/2, to the nearest integer?\nAnswer: 8851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/214487 and -95\/42.\nAnswer: 1286922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 267*(-1)\/7 + -3. Let j = -41 - s. Which is greater: -1\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -603, -3, 2, 4, -79 in descending order.\nAnswer: 5, 4, 2, 1, -3, -79, -603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638 + 638 - 5*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/104 - 62\/403 - (-21)\/360.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18331\/7 - -2625. Calculate the common denominator of 46\/5 and z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57227 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -28470, 5, -3\/2, -17, -2\/5 in decreasing order.\nAnswer: 5, -2\/5, -3\/2, -17, -28470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -4, -10\/9, 2\/67 in decreasing order.\nAnswer: 2\/67, 0, -1, -10\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-9) + (-57280)\/3. Let y = p + 267189\/14. Find the common denominator of y and -151\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11182731 (base 9) in base 12?\nAnswer: 1999254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.65518 hours to nanoseconds.\nAnswer: 13158648000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 984 + 97*c**3 - 984 + (5 + 9 - 5)*(c**3 - 2*c**3 + 4*c**3) as p*c**2 + l + h*c + u*c**3 and give u.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h - 15*h + 22 = 0. Calculate the smallest common multiple of 3 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*j**2 - 132\/5 + 34\/5*j.\nAnswer: -2*(j - 11)*(j - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 112 = -2*q + 3*i, -166 = -3*q + 5*i. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 3. Let v(f) = -2*f - 1. Let m(a) = 6*o(a) - 7*v(a). Let l = -4 - -11. Let q be m(l). Solve -q*n = -3*x - 0 + 24, -2*x = 3*n + 9 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, -4811, -3 in descending order.\nAnswer: -3, -71, -4811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101452 is divided by 8423.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -18. Suppose v - 13 = y. Suppose 2*i - v = 17. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22467, 184040, 622595, 1476624, 2884619, 4985072, 7916475?\n\"Answer: 23082*n**3 - n**2 + 2*n - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -9*((-20)\/6 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-66 - 4) + 368256\/5264\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, x: 2, f: 1, g: 2}. What is prob of picking 1 g, 1 f, 1 w, and 1 x?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.7 + -35.68. Let j = h - -13. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3002207 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -10*d - 90. Let m be (1 + -2)*(4 - 4) + d. Which is the second smallest value? (a) -1 (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78214501?\nAnswer: 17, 101, 45553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 4\/7 (b) 4\/5 (c) -17.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0098906200276 and 0?\nAnswer: 0.0098906200276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 744*r**2 - 6910*r*z + 828*z - 18368 wrt r?\nAnswer: 1488*r - 6910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -322069 = -322008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -80.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 25381842307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 175419407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(u - u - u**2) + (-15 + 15 + 12*u)*(1 - 5 + 3)*(-4*u + u + 4*u))*(-47*u - 165 + 165).\nAnswer: 470*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 30 - 813 = -t, 5*y = 3*t + 2080. Let p = 225 - y. Let m = p + 276. What are the prime factors of m?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((3 - 2)*-1). Let z = l + 46. Suppose -4*u + 5 = -z. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1629334?\nAnswer: 2, 7, 116381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 1. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a = 3369 - 546 + 1071 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -145 - -402. Let g = f + -255. Solve 5*x = g*v, 3*v = v + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*d*t**2 - d + t**2 + 129*t wrt t.\nAnswer: 158*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + q - 20, -3*q = -2*w + 9. Let f = w + 2. Let t = 17 - 16.7. What is the closest to 1 in t, f, -3\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.11 - 1.2. Let b = 0.51 + n. Let j = b - 0.419918. What is j rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-69)\/(-15) - 5) + 2\/5. Let m(x) = x**2 - x + 24. What is m(q)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + (-15)\/(-3) + -1). Let q(a) = -a**2 + 3*a - 2. Let z be q(v). Suppose -3*o = y - 360, 3*o - 5*y - 378 = -z*o. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 626 in 97, -0.5, -13\/31?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -17*h - 12. Let s be -1 + 2 + (-42)\/h. What is the greatest common divisor of s and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 100\/(-45) + 296\/36. Calculate the highest common factor of 116 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1886*s + 1926. Let f be q(-1). Solve 26*a - f = 31*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188678 and 3983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 3 - (2 + -4). Suppose -h*z + 5 = -0*z. Differentiate 3*g**3 - g**3 - z - g**3 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*m + 6, 5*m - 575 + 600 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*c + 15*s - 12*s, 5*c = -3*s + 17. Let d(a) = a - 6. Let p be d(6). Solve 5*h = c*g - 30, p = -h - 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/5 + 133456*s**2\/5 + 2224710656*s\/5 - 53469954048\/5 = 0.\nAnswer: -33376, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 1\/24*v**5 + 0*v**3 - 2*v + 0 - 5\/48*v**4 - 13\/2*v**2. Let k(y) be the first derivative of s(y). Let k(i) = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1480 + -1479.5. Which is the nearest to 0.2? (a) y (b) 4\/15 (c) -1\/4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2295920 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2*12\/(-8). Let p(q) be the third derivative of -1\/120*q**6 + 0 - 1\/20*q**5 + 0*q**4 - q**2 - 1\/3*q**3 + 0*q. Give p(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 9\/6*592\/222 + (-389)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12338 or -12336?\nAnswer: -12338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 22, 44, 68, 94?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 234*o**2 - 30070*o - 19444. What is k(-68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 45 = -9*y - 37 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m, 0*h + 5*m - 12 = 2*h. Let k be 7\/2 - h\/4. Solve -4 = k*p + 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2*h - 3 - 3 = 0, -4*t - 9 = -3*h. Let l = 2 + t. What is the remainder when 3 is divided by (l - 4)*6\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1197*u = -1200*u - 5*i - 56, -55 = 3*u + 4*i for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 - -56. Which is smaller: -3\/49 or q?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89870.\nAnswer: 2, 5, 11, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does -1898646\/5 = -379728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2))**14*(v*(v**7*v)\/v)\/(v**14\/v) assuming v is positive.\nAnswer: v**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.062401 and 0.4.\nAnswer: -0.0249604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 2470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 5166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73382405.\nAnswer: 5, 71, 421, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 3. Let c(j) = -j**2 - 4*j - 1. Let y be c(-3). Let b(x) = -y - x - 2*x + x. Let u(d) = 3*d + 1. Let z be u(1). What is z*b(f) - 3*s(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 76 = 4*d, 2*n + 81 = 7*n + d. Suppose -7*v + n*v - 12735 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in hours?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/299135 and -93\/598270?\nAnswer: 598270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4871?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-23 + 10 - -16) + -7. Let a(c) = c**2 + 3*c + 1. Determine a(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*u + 8, 3*u + 0*u - 3*o = 0. Let r(x) = -u*x + 1 + 0 + 32*x**2 - 2. Calculate the remainder when r(-1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 50\/3 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 42234 = 4*c + 40886, -5*c + 83093 = 4*i. What are the prime factors of i?\nAnswer: 79, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-1*-5 + sqrt(104)*2*3)\/(sqrt(800) + 6*(sqrt(800)*5 - sqrt(800))).\nAnswer: 11*sqrt(13)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -276213 + 176?\nAnswer: -276026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y = 126*y - 60*y + 12 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250916116 to the power of 1\/2, to the nearest integer?\nAnswer: 15840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*y - 6 = 4, -y - 3 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/160 and 47\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2727*u + 919 - 305 - 308 - 306 in the form k*u + m and give k.\nAnswer: -2727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -0.1, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**2*r**(2\/17)*r**19\/(r\/(r*(r\/(r\/(r**(-3)\/r)))\/r*r)*r) assuming r is positive.\nAnswer: r**(223\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -4 - 3\/(-3). Let w be 72\/(-16)*(-4)\/3. Suppose -u*o + w = -2. Let v(a) = -a**2 - 1. Give v(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 23. Let o = u + -14. Sort o, 3, 0.5.\nAnswer: o, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 114 (c) -1\/4 (d) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 110*l - 1. Suppose o + 2 + 0 = 0. Let x be r(o). What is the common denominator of -49\/10 and x\/(-45) + (-4)\/(-20)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3 + 3)*(-2*s - 2 + 2) + 2*s**2 + 2 - 2 + (-6*s + 0*s - 2*s)*(-33*s - 35*s + 52*s).\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 13 = -2*w - 3*w, 0 = 5*w + m - 11. Suppose -3*u = -2*b - w, 0 = 5*u - 2*b - 2. Solve 5*q = -4*t + t + 10, u = 5*t + 3*q - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 57077662*r**2. Let m(s) = -s**2. What is m(t(x))?\nAnswer: -3257859499386244*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*q - 65633 = 0, -41187 - 24436 = -5*u + q. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2*d**2 - 70*d + 87. Let g be p(20). Solve -4*x = -2 + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 2*n**2 + n + 1. Let a(u) = 2*u**3 - 10*u**2 - 228*u + 226. Let l(s) = a(s) - 5*k(s). Differentiate l(h) with respect to h.\nAnswer: -9*h**2 - 233","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 772.45l?\nAnswer: 772450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -2 (c) 74 (d) 2\/3 (e) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19 and -3.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 390387 + -215326. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 12*h**3 + h**2 + h - 2. Let r be m(2). Suppose 2*d - 142 = -2*z, -5*d - r = -3*z + 89. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-34)*1*1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136 or 582475?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 3*c + 2*c**2 - 5*c + (-5 + 1 + 1)*(12 + 2*c**2 - 12).\nAnswer: -4*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(52) + -3 - (sqrt(52) + 1 + -2 + 1 + sqrt(52) + 4))*5.\nAnswer: -50 - 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1309 and 1540?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 17. Let w be u(7). Let r be (-1)\/w - (-6340)\/(-12). Is ((-2)\/(-4))\/((-8)\/r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 6*k**2 + 18*k - 30. What is the lowest common multiple of c(-10) and 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 535.663848301 - 8.5.\nAnswer: 527.163848301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.2. Suppose 0 = -0*t - 5*t + 4*y + 34, 4*t = 5*y + 29. Suppose t*f + 26 = 8. Which is the third biggest value? (a) f (b) -0.06 (c) v (d) 0.3\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) -66 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**12*p*(p\/(p**(1\/6)*p))\/p*p**(-2\/47)\/p**(-1\/5))**(-4\/3) assuming p is positive.\nAnswer: p**(31046\/2115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 5*r - f + 10, -f = r - 8. Sort -2, 0, -3, r in increasing order.\nAnswer: -3, -2, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) -0.1 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 918569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*j**5 + 39896*j**4 + 11400*j**3.\nAnswer: -2*j**3*(j - 2850)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 3. Suppose -60 = -0*b - j*b. Let o(z) = -126*z - 10576. Let i be o(-84). Solve 5*q = -4*m - b, 2*q - m + i = -4*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*b - 11*b + 10*b**2 to the form h*b**2 + n*b + p and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 2. Let c be (-2 - -11)*(-2)\/(-6). List the prime factors of b(c).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019515131 rounded to seven dps?\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 4) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 16 = 0, -a + 2 = -4*a - 73*w + 74*w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12650 and 5750.\nAnswer: 63250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 1. Suppose -2*z + 6*z + 135 = -5*n, -3*z = 4*n + 100. Let o(g) = -3 + 0*g - g**2 - 8*g - 5. Give z*y(k) + 5*o(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let t(v) = -208138*v. Give q(t(j)).\nAnswer: 208138*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1979, 8597, 19627, 35069, 54923?\nAnswer: 79189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*q - 46*q + q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1701, -1611, -1509, -1389, -1245, -1071, -861, -609?\n\"Answer: a**3 + 83*a - 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 4:30 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 221579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z + 14*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6385*n + 129*n + 482688 = -207796 for n.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*w - 19. Sort 1, w, 0, 72.\nAnswer: 0, 1, w, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5489835 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**2 + 2*l - 2. Let q(h) = h. Let r = -38102 - -38103. What is r*v(s) - 3*q(s)?\nAnswer: -3*s**2 - s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 4. Solve 3*y = 2*g + g + 30, 0 = s*g + 5*y - 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4594*p = 4878*p + 3692 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 267 - 229 - (-1 + 21).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/5 - (-9)\/5. Let w = 0.4949 - 0.3949. What is the closest to l in 0.06, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*t**2*u**2 + 7*t**2*u - 23*t**2 - 2701*u**2 - 159*u wrt u.\nAnswer: 60*t**2 - 5402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*l**5 + 2*l**4*u**2 + l**3*u**2 + 8*l**2 - 4*l + 8*u**2 + 2 wrt l?\nAnswer: 3720*l**2 + 48*l*u**2 + 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8750 (base 9) in base 14?\nAnswer: 24c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, w: 3, v: 1, q: 4, c: 2}. What is prob of sequence rcww?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 z when two letters picked without replacement from vfzvvvfvfvvzfvfvvf.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 13*a - 12. Let d be w(12). Let j be (2\/4 - 1)*d. Suppose 0 = -q - j + 11. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 m, and 1 s when three letters picked without replacement from ddsmddmssdms?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4)*h)**14\/(h**0)**(-18))**(1\/62) assuming h is positive.\nAnswer: h**(63\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 396*r - 8172. Determine u(-22).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8406169?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 7. Let x be 97\/4 + (-2)\/8. Suppose -2*a - 2*a - x = 0. Determine l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.8? (a) -5 (b) -1\/3 (c) 85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(2\/5))\/s)**(20\/3))**(2\/49)*s**(2\/19)\/s**(-3)*(s\/(s**(-5)\/s))\/s*s*s\/s**(-2\/5) assuming s is positive.\nAnswer: s**(159151\/13965)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z - r + 2, -20 = -2*z - 4*r. Let l = -6 + 1. Let g = 0.13 + 0.37. Which is the closest to 0.1? (a) l (b) g (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 + 4*i - 4. Suppose 3*x - p + 3 = 23, 0 = -x - 4*p + 11. Let t = -11 + x. Is 7 a factor of n(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 3, 2, -1, 0 in descending order.\nAnswer: 13, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*o = 2859, o = -0*x - 4*x + 2863. Let s = x + -425. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162104 and 6808?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1641068\/287 - -5718. Are f and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*p - 5*p + 9*p - 3*p to the form s*p + f and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 729781 a multiple of 893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66060.\nAnswer: 2, 3, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9016741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -25. Suppose c - 2*c + l = -2*b, -1 = -b. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-1)*o*o)*o)**41)**(-37)*o*o**(-3)*o*o*(o\/(o\/o**(2\/5)*o*o))\/o*o**3*o*o**(-1\/7)*o assuming o is positive.\nAnswer: o**(-53016\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 - 38. Which is the second smallest value? (a) -1 (b) 2\/5 (c) m (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/(69\/368).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0147572 rounded to five dps?\nAnswer: 0.01476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*c - 30 = 270*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5211834nm in micrometers?\nAnswer: 0.0005211834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*a + 4*n - 288, 4*a - 6733 + 6749 = -4*n for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o + 2*b - 4, -b = -4*o + 16. Solve 3 - 7 = o*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*((-2)\/10)\/(2\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86987520 > -86987527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1.900982177 + -17\nAnswer: -18.900982177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2 - 4*r + 2. Let u(c) = c**3 - 4*c**2 - 3*c + 2. What is -4*i(b) + 3*u(b)?\nAnswer: 3*b**3 + 4*b**2 + 7*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280995135.\nAnswer: 3, 5, 53, 353453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -410, -2, -156, -5, 5.\nAnswer: -410, -156, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -73, -75, -77?\n\"Answer: -2*i - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(68) - (sqrt(68)*4 + sqrt(68))**2) + sqrt(68) - ((0 + sqrt(51)\/sqrt(3))**2 - (2 + sqrt(1700)))).\nAnswer: -56*sqrt(17) + 6864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1458*w**4\/11 - 100116*w**3\/11 - 31320*w**2 - 386800*w\/11 - 144000\/11 = 0.\nAnswer: -10\/9, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 67, 82, 97, 112, 127?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622 is divided by 123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfuupyfufufufyff. What is prob of picking 1 p, 1 f, and 1 u?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 12 = 5*b. Let t(v) = -4*v**3 + 6. Let q(o) = -o**3 + 1. Calculate b*q(r) - 2*t(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Suppose -5*d - v = 6, -5*j - 4*d = -7. Suppose 2*z + 211 = j*i, -2*i + 6*i - 3*z = 282. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4025 and 336950.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41 + 36*l**2 + 24 - 8*l + 1 - 35*l**2 + 5170*l**4 wrt l.\nAnswer: 124080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:34 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48576 is divided by 48486.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:19 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l + 41*l + 3*x = -2, 0 = -3*l + 2*x - 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-9) - 41\/(-3). Let w = k + -19. Let t be w\/4 + (-42)\/(-24). Which is the closest to t? (a) 4\/5 (b) 0.03 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 51, 0, 4 in decreasing order.\nAnswer: 51, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 257*b**2\/2 + 875*b.\nAnswer: b*(b + 7)*(b + 250)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215244.\nAnswer: 2, 3, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**2 - 5*l**2 + 4*l**2 + (0*l + 0*l - 2*l**2)*(0 - 1 + 3) + 0*l**2 + 2*l**2 - 4*l**2 - 4*l**2 + l**2 + l**2 to b + j*l + f*l**2 and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c - c - c + c + c + (-3*c + c + 5*c)*(-1 + 2 + 1))*(0 + c + 0).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 46 + 37)*(2 - 2 - v**2)*(10*v + 45 - 45).\nAnswer: -890*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - 6*v + 1. Let d be i(6). Let t = d - -3. Suppose t*o + 6 = -10. Sort 3, 1, o in descending order.\nAnswer: 3, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 1\/24*a**3 + 6*a - 1\/8*a**2 - 1\/80*a**5 + 0 + 1\/48*a**4. Let h(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -794\/3 in 4, 3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1274 (b) 3.4 (c) -4 (d) 0.1 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 22*x**2 - 23*x - 16. Calculate b(21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10482*326.\nAnswer: -34.17132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a83 - 4?\nAnswer: a7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of 0*x**3 + 0*x**5 + 0 + 0*x**7 + 1\/24*x**4 + 0*x - x**2 - 5\/336*x**8 + 0*x**6. What is the second derivative of n(d) wrt d?\nAnswer: -100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095655 is divided by 377?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 270493159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-7))\/x*x)**36 assuming x is positive.\nAnswer: x**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -749\/956 - -8\/239. Which is the closest to 0.12? (a) 5\/2 (b) 1\/3 (c) -1 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**4\/24 + 5*s**3\/3 - s**2. Let o be a(-7). Solve 0 = d + o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8538, 17036, 25534?\n\"Answer: 8498*t + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-48)\/8)\/6)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2056881 and 12648.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.026 - 0.026. Let v = s + -27.99999993. Round v to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:17 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160646820 rounded to the nearest 100000?\nAnswer: -1160600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008329 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 936355 times 2.98\nAnswer: 2790337.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d - 5. Let s be o(2). Let j = 14 - s. What is the remainder when 43 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Suppose -d = 5*l - 6*l - 3*r, 4*r = l - 2. Let b(s) = 2*s + 5 - l - 1. What is b(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5800088750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3347*c**2 + 3347*c**2 + 2*c**3 + 64 + 390 to a*c**3 + h + v*c**2 + s*c and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/3 and 492\/(-90) - (0 + (-1)\/2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjhjjhpjjpphj. Give prob of picking 2 j and 1 h.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41 and 16.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 - 3 - (6 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2724834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2032 and 20.\nAnswer: 10160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357279 and 19870209?\nAnswer: 258312717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -81559783 or -81559782?\nAnswer: -81559782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 187*c - 1311. Give v(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1794227.\nAnswer: 19, 94433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 - 4*o**2 + 4*o**2)*(3*o**2 + 0*o**2 - 2*o**2) - 2*o + 6*o**3 + 4*o**5 + 5*o - 5*o**3.\nAnswer: o**5 + o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -4*w + 147, -105 = -3*w - y. Let h be 3\/((-3)\/(-95)) - -1. Suppose -k + h = 3*k. Calculate the highest common divisor of w and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -72, -117, -180, -267, -384?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 21302 = 1302. What is r rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 63*c**4 - 44*c**4 - 33*c**4 - c + 3*c**4 - 2*c**4 + 0*c**4 + c**4 + 0*c**2 + 0*c**2 - 2*c**4 - c**4 + 2*c**4 + (2 - 1 + 1)*(-c**4 + 3*c**4 - c**4).\nAnswer: -11*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -u - 0 - 2, -5*u = -3*f + 4. Suppose 3*n = 2*n + f. Suppose -3*b + 4*b - 3 = 0. Solve -b*s + 0*v - 2*v + 2 = 0, 5*v = n*s - 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -262\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and -345174617.\nAnswer: -345174615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a18 (base 11) to base 2.\nAnswer: -101000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5323 + -1515. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and 5152.\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 71549*o**6 - 59254*o**2 wrt o?\nAnswer: 8585880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 + 6*l - 31. Let y(t) = -47*t. Give y(q(p)).\nAnswer: -235*p**2 - 282*p + 1457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100631?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55, 58, 61, 64?\n\"Answer: 3*r + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 22 + (5 + -8 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 6*s - 3. Let n be k(7). Let m(f) = f**3 - 4*f**2 + 4*f - 1. What is the units digit of m(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12428\/9 - 1384. What is the common denominator of m and (-59)\/6*(-8)\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*o + 11, 20 = 5*o + 15*d - 10*d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 8, a: 1, p: 6}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*f**3 - 28*f**3 - 32*f**4)*(3 + 2 - 6)*(2 + 6*f - 3 + 2).\nAnswer: 192*f**5 + 32*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4527?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 11 = -z + 6*k - 5*k, 236*z + k = 239*z + 7 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2380202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 h when two letters picked without replacement from {h: 3, e: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2452337\/58 + -42280. Find the common denominator of -75\/2 and t.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.27 + 8.61. Which is the smallest value? (a) r (b) 3 (c) -2 (d) -13\/2 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 1, 5, 1\/3, -0.06, -1062, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -4 + -46 - (1 + -7 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/3*(-21)\/(-2). Suppose -3*y - s - 17 = 0. Let z = y - -17. What is the remainder when 33 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -125 + 38. Is 4 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744 is divided by 457.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 2. Calculate f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of b**6\/1080 + b**5\/180 - b**4\/24 - 2*b**3\/3 - 4*b**2. Let v(c) be the first derivative of s(c). Find p, given that v(p) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u**2 + 3*u - 10. Let k be o(-5). What is the highest common factor of k and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (8 - 3))*11*26\/91.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/20 + 9\/15. Let x = -2 + 4. Suppose -2 + f = -x*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61392 by 9.\nAnswer: -20464\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 11:08 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -746 * 16\nAnswer: -11936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 229, 490, 835, 1252, 1729?\nAnswer: 2254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17204 and 4600.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29464569 a multiple of 2631?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 5*c + c)*(-7855*c + 177*c - 170*c) + (6*c - 2*c - 3*c)*(4*c + 0*c - 5*c).\nAnswer: 15695*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3163*v - 81633 - 98658 for v.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 10*p**2 - 9*p + 2. Let h be j(-9). Let a(n) = n**2 - 6 + 1 - h*n**2. Let o be a(0). Sort o, -1, 0 in increasing order.\nAnswer: o, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rkvccvkkkr. What is prob of picking 2 v and 2 c?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 - -46. What is the remainder when 33 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35302 and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/11))**4\/(v**(-10)*v*v**(-5\/3)*v))**(-5\/3) assuming v is positive.\nAnswer: v**(-1475\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 7*j + j - 6*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - 1*(sqrt(176) + 1)) + sqrt(176) + (sqrt(176) + -1)*-1)**2 - (1 + sqrt(1331) + -1)*6.\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 - 347\/6. Is i not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.999966 + 9. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1587)\/(-5) - 4\/1. Let h = 313 - m. Which is the closest to -0.3? (a) -1 (b) -5 (c) h (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2118 + 2125)*(-1)\/77.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.39 + -2.09. Sort -1\/3, w, -1 in ascending order.\nAnswer: -1, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(0\/(-13))\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1551 - -1542. Which is the third biggest value? (a) -2 (b) 3 (c) p (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6369.11 centuries to months.\nAnswer: 7642932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -829\/7, 0.4, 133 in decreasing order.\nAnswer: 133, 0.4, -829\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 531697*d**3*n**2 + 35*d**3*n*z + 4844*d**2*n*z - d**2*n - 2*d*n**2*z wrt n?\nAnswer: 1063394*d**3 - 4*d*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 667\/78 (b) -10\/9 (c) -2\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079702 take away -0.1?\nAnswer: 0.020298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 21*h. Calculate the remainder when n(6) is divided by 196\/6 - ((-30)\/(-9))\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 34*b - 103. Let w be v(27). What is the remainder when w\/((-9)\/(-27) + 5\/3) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g + 5*g**2 - 2*g + 7 - 6*g - 3*g**2. Let j be x(2). Let m = 634\/5 + -125. Is m bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 + 5*l - 1. Let n be s(-6). Let x(z) = 6*z**2 - 121*z + 44. Let j be x(20). Let w = n + j. Put 1, w, -5 in descending order.\nAnswer: 1, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9979, -4, 3, 12 in decreasing order.\nAnswer: 9979, 12, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 151*w**2 + 3*w + 13. Is f(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 15 = 5*z, 3*t = -0*t. Suppose 5*i + 3*w = 0, -2*i + 6*w - 3*w + 21 = 0. Solve -z*f = i*l - 30, -7*f - l + 25 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 62\/(-22) - 10\/55. Let r be ((-14)\/b)\/(1\/(-3)). Is 3 a factor of (-7)\/(r\/(-4)) - -11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**2 - 83. Calculate the remainder when q(16) is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -131, -134, -137, -140, -143?\n\"Answer: -3*r - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/24)\/((-13)\/78). Solve 4*h - g - 14 = -0*g, -h + l*g = -11 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -4 (b) 0.4 (c) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259 - 93 = 2*t. Suppose 5*r - 4*r = t. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -30, -71, -128, -201?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 112*x**2. Suppose -41*q + 37*q = -8. Let c(f) = -f**2 - 9 + 2*f**q - 3 + 12. Give z(c(v)).\nAnswer: 112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m**3 - 2*m**2 + 1. Let k be a(-2). Suppose -6*p = -7*p + k. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7386202 is divided by 798.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 2 (c) -5 (d) 0 (e) -0.714026\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 98.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-12) + (-22)\/(-8). What is the remainder when 4\/((-4)\/p) + 20 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g - 5. Let f be w(7). Suppose -f*j + 48 = 2*j. Suppose -2*a = -22*m + 19*m - 42, -4*a + 94 = -m. Calculate the highest common factor of a and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -54 - 4\/8*-2. Let g = -46 - d. Let u = g + 50. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/4952 + 19745\/103992. Let j(x) be the second derivative of -10\/21*x**4 + 0*x**2 + 5*x - 5\/14*x**5 + 0 - h*x**3. Let j(z) = 0. What is z?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1879*n - 369495 - 116658 = -6889*n + 267895 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o + 2*o - 13*o - 3*o. Let q(p) be the second derivative of -1\/12*p**4 + 0*p**3 + 0 + 0*p**2 + p. Determine g(q(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -27*o**2. Let u(q) be the third derivative of 1\/5*q**5 + 0 + q**2 + 0*q**4 + 0*q**3 + 31*q. What is u(t(x))?\nAnswer: 8748*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 - -99.5. What is the nearest to 1 in 0.02, -5\/4, i?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4021 - -4019. Which is the fourth biggest value? (a) 1 (b) -1 (c) k (d) -19\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1. Let m(s) = 3*s + 4. Suppose 363*p - 373*p = -30. Suppose 0 = -p*q + 3*r + 3, 4*r - 22 = 5*q - 24. Let w be 1\/4*4\/1. Give q*j(a) + w*m(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60 - 45 - (14 + 7)) + 3 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -57878?\nAnswer: -57877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*h**2\/7 + 17234578*h\/7 - 13787656\/7.\nAnswer: -2*(h - 1723457)*(5*h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 434.5 + -458.5. Which is the biggest value? (a) 2 (b) f (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 16 + 32 - 16.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1815*y - 9. Let z(l) = 5*l. Give s(z(d)).\nAnswer: 9075*d - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -221 and -0.05.\nAnswer: -221.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33944914479 take away -1648.8?\nAnswer: 33944916127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 14. Let u(h) = 2*h - 4. Let l be u(4). Suppose 0 = -l*s - 0*s. Let a be x(s). Solve -5*p - a = f + 9, 2*p + 2*f + 6 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -20.2. What is the closest to -21\/2 in 4, -1\/4, 2, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*p + 484 + 1776 - 397 = 0 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 19*i**2 - 84*i + 111. Let c be b(3). Factor -24\/7 + 4\/7*k**4 - 12\/7*k**2 + 44\/7*k - 12\/7*k**c.\nAnswer: 4*(k - 3)*(k - 1)**2*(k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 167423944*l*m*n**3 - 6*l*m*n**2 - 51*l*m + 2*l*n**3 + l*n**2 - 4941*l*n wrt n?\nAnswer: 1004543664*l*m + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 4*s - 0*s + 2*q, 0 = -5*s - 2*q + 339. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 113\/129908?\nAnswer: 113\/129908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/135)\/(1430\/3575)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*r + 4*r + 51*r)*(23 + 40 - 102) to n*r + j and give n.\nAnswer: -3588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -373 + 900. Let d be f\/(-1918) + (-4)\/(-14). Let s = 9465\/1096 - d. Calculate the common denominator of s and 73\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -z - v, -2*z = -0*z - 2*v + 30 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -122999*s - 614989. Calculate u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = w, -2*w = -v + 5*v + 20. Let y be (0 - w) + -10 + 11. Solve -9 = 3*k + 3*l, k - 3 = 4*l - y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, m: 6, x: 11}. Give prob of sequence mjxm.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 4*y + 1 = -3, -12 = -4*m - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 4*g**2 + 5*g + 5. Let n be p(-4). Let x = n + 28. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 - ((16 - -4) + (-111 - -103))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 6*h - 1. Suppose -2*i + 5*o = -0*o - 1, -4 = -2*i + 2*o. Let s be (1\/i)\/((-1)\/(-3)). Determine d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8516, -18, 3\/5 in decreasing order.\nAnswer: 8516, 3\/5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/((-69)\/1196*-26).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 5*j + 0*j)*(-4 + 4 + j)*(-29 + 10 - 25).\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110470 and 20.\nAnswer: 220940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + -11 - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**15*r*r)*r))\/r**(-3\/17)*r\/(((r*r**(3\/2)*r*r)\/r)\/r)*r**(-5\/4)\/r assuming r is positive.\nAnswer: r**(981\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4)*(12\/(-3))\/2. Let k be (-1 + r - 3)*-2. Suppose 5*u - 31 = -3*s, 5*u = k*s + 6 + 15. Solve -h = -u*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 + -30. Let v = -624 - -621. Which is the nearest to v? (a) 0.3 (b) w (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 387*z - 333*z - 162. Let f(p) be the second derivative of 0 - 14*p - 1\/15*p**6 + 0*p**4 - 1\/20*p**5 - 1\/42*p**7 + 0*p**2 + 0*p**z. Factor f(d).\nAnswer: -d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3954b (base 15) in base 16?\nAnswer: -2cc96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 0*q + 360. Suppose 2*m - q = -m. Let y be (-192)\/36*(-41 + (5 - 8 - -8)). What is the highest common factor of y and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d**11\/d))\/(d\/(d**(-1\/11)*d)*d))**(-2\/39) assuming d is positive.\nAnswer: d**(200\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/2 + 1719*r**2\/2 + 123552*r + 122694.\nAnswer: 3*(r + 1)*(r + 286)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 154523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -a6d?\nAnswer: -a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2\/7, 7, 2.888 in ascending order.\nAnswer: -2\/7, 0.2, 2.888, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1505*-0.26\nAnswer: 0.03913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7479*h**4 - 813.\nAnswer: 29916*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2638.2341 to the nearest ten.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + 99. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, k: 6}. What is prob of sequence kz?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 - 106. Which is the closest to 3? (a) f (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131 + -64. Suppose x = 79 + 29. Let w be (-2)\/5 - x\/s. Is w <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9004462 litres in millilitres?\nAnswer: 900.4462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1752103126 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 7*m**2 + 5*m - 1. Let b be p(-6). Let a be (-2)\/5 + (-23)\/b. Let v = a - -5. Solve -s - 5 + v = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 202, 14\/9, -2\/11?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1757289?\nAnswer: 3, 491, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/(1\/26). Suppose -5 = 3*t + 4, -4*s + 5*t + h = 0. Calculate the common denominator of (-21)\/(-9) + (-3)\/s and 61\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 150568 and 7729?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 18. What is the units digit of (-392)\/r - (-6)\/(-39)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -483b05a?\nAnswer: 483b05a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b + 9. Let o be w(-4). Solve 0 = 4*t - l - 10 + o, 2*t = -l + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-3)\/2 - -15. Let j(t) = 2*t - 24. Let o be j(r). Solve -g + 4*g - 9 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 2*y + 3. Let a be z(-2). Let g = -34 + a. What are the prime factors of ((-17)\/3)\/(2\/((-36)\/g))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -n + 33, 5*d - 4*n + n - 54 = 0. Suppose f = -2*f + d. Factor -2*s**f - 4*s**2 + 2*s**4 + 4*s**2.\nAnswer: 2*s**3*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*i + 6. Let n be ((-48)\/(-56))\/((-4)\/(-14)). Sort -3, 2, i, n in descending order.\nAnswer: n, 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggg. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p + 216*p - 244 = 491 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:04 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26978893.\nAnswer: 47, 103, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from {u: 7, t: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 187. Let n be 57\/45 + (-210)\/h. Factor -4\/3*i**2 + n - 4\/3*i.\nAnswer: -4*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 18093, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16120*t**2 - 32251*t**2 + 16050*t**2.\nAnswer: -81*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 543724 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -112. Let x = k + 50.71. Let c = x - -0.29076. What is c rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/9 and 47\/2838.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 437733470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15520256261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-28 - -16) - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/15390 and -25\/27021762.\nAnswer: 135108810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 42*x**2 - 2. Let k(j) be the first derivative of -j**3\/6 - 40*j + 52. Let q(g) be the first derivative of k(g). Determine q(c(h)).\nAnswer: -42*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 - 15\/3) + 863. Suppose 3*u - q = -2*j + 6893, 3 = j. Suppose -3*p + 11*p - u = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 394 + -360. Let g(t) = 4*t + 1. Calculate the remainder when d is divided by g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-2 - -5) + (-1 - 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -404, -6, 13, -5 in ascending order.\nAnswer: -404, -37, -6, -5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 - 3*n - n + 2 - 2 - n - 1 + 1 + (-6*n + 2*n + n)*(-3 - 1 + 2).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 58 + -10 + -21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 1, 1\/4, -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*y - 18 = 2*c, 2*c + y + 13 = 0. Is -6 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*w**3 - 49*w**3 + 24*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 0.86, 15\/41, -2 in ascending order.\nAnswer: -72, -2, 15\/41, 0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and -14.08516.\nAnswer: -14.28516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 26*d**2 - 5*d - 2. Let k(b) = -13*b**2 + 3*b + 1. Let v(u) = -5*k(u) - 3*s(u). Determine v(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38261158 or -38261157?\nAnswer: -38261157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298 is divided by 76.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 divided by -27?\nAnswer: 163\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3363 - -3358. Which is the second smallest value? (a) p (b) -0.18 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38131, 76268, 114417, 152584, 190775, 228996, 267253?\n\"Answer: b**3 + 38130*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -57*j**5\/20 - j**3\/3 - 869*j**2\/2 + 1137*j. Find the first derivative of i(u) wrt u.\nAnswer: -171*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*a + 144 + 267*a - 141*a to b + f*a and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279*k**2 + 3130.\nAnswer: 558*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 47 and 46 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3544*d - 530 = 3438*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-595)\/17)\/(-35))\/(3\/(-21))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(396)*-2) - (sqrt(17) + 2 + sqrt(1700) + 0).\nAnswer: -133*sqrt(17)\/12 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 + 1 - -2 - (-159 + 234 + -84).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*j**2*m**5 + 2*j**2 - j*m + 8*m**5 + 25*m wrt m?\nAnswer: 340*j**2*m**3 + 160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10494, 7818, 5154, 2508, -114, -2706?\nAnswer: -5262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 386 = -560 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - -1) + 2 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -149.7 + 155.624. Let k = u - -0.076. Put 1\/6, k, -1 in increasing order.\nAnswer: -1, 1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 + 19*q - 37. Calculate the remainder when 43 is divided by f(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*k + 1944, -j = 21*k - 19*k - 984. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -102. Let c = b + 62. Suppose 3*j + 4*k = c, 7 = 2*j - k - 15. What is the greatest common divisor of j and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -80, -95, -92, -65, -8?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2103333 (base 4) to base 10\nAnswer: -9471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6096 divided by 38087?\nAnswer: -6096\/38087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:25 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-12 + -1 + -2). Suppose -6*g = -2*g + w. Which is smaller: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + -3. Let p = -7.0004 - l. Round p to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31280.66 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 71*u - 4 + 39*u + 33*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -495 - -496. Is p less than or equal to 168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 223, -316, 1 in increasing order.\nAnswer: -316, 1, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 673311 and 1.\nAnswer: 673312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29.712 to 1 decimal place.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 83331223 to the power of 1\/2, to the nearest integer?\nAnswer: 9129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34143.\nAnswer: 3, 19, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 - 117*q - 31 + 47*q - 3*q**2 + 31.\nAnswer: q**2 - 70*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*g*m - d*g - 18*d*m - 5*d - 62*g*m + g + 2*m - 4 wrt d?\nAnswer: 3*g*m - g - 18*m - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83986.99999940791 + 83987. What is n rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.61776nm to micrometers.\nAnswer: 0.01661776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*(-3 + 11\/4). Let p be (1\/4 - o)*-168. Let f be 8\/p + (-6)\/21. Sort 1\/6, f, 3\/7 in decreasing order.\nAnswer: 3\/7, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-7)\/(-56)*17*51\/9537?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 481100 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*(-203 + 196) - (-2)\/(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:43 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60414, 1, 0 in descending order.\nAnswer: 60414, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 5*o - 6. Determine x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*sqrt(637)*2 + sqrt(78)\/(-6*1*sqrt(6)) + -1.\nAnswer: -169*sqrt(13)\/6 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12238, 25394, 38550, 51706?\n\"Answer: 13156*y - 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16492 at most 16478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0 = 14. Suppose 18 - 98 = -5*o. Calculate the smallest common multiple of o and l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(4\/3)*w)\/w)\/(w*w*w**(10\/9)))**(-27\/2) assuming w is positive.\nAnswer: w**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -0*n + 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 350294092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - -7)\/(-1 - -3). Suppose 52 = o*p + 7*p. Let n be -2 - 5\/(-2)*(-128)\/(-168). What is the second smallest value in -1, 1, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 - ((-30500)\/(-214500) + -1 + 5\/3) and -41\/66.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3639121 (base 11) to base 6.\nAnswer: 343454043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5852*k - 111122. Give w(19).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81926 minus -186?\nAnswer: 82112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 2*c**2 + 4*c - 4. Let w be s(-4). Let l = w + -7. Suppose -5*j + 50 = l*x, -j - 2*j + 2*x = -40. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2329211 to the nearest integer?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l + 1. Let b be v(3). Let s be 1*(0 + -4)\/b. Let p = 4 - s. Solve -t - 4 = -p*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-14 - -3) - -1. Find the second derivative of -2*j**5 - 9*j**4 + 2*j + c*j**4 wrt j.\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(((-8)\/(-10) - 1) + (-864)\/(-120))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*w - 258, -w - 5*s - 180 = 3*w. Let b = 201\/4 + w. What is the biggest value in 0.3, b, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*p + 6, g + 2*p + 212 = 210 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*6.\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12576 + 12566.2586. Round t to one dp.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 134 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.2 - -9. Let g = -1 - d. Let f = g + -0.6. Is 0.1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1624\/10537 + -6\/41. Sort -1, r, -0.3 in ascending order.\nAnswer: -1, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47647*a - 51964*a + 315141 for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5022340 is divided by 456574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100 + 100110010101?\nAnswer: 100011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157807?\nAnswer: 13, 61, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + m - 6*m = -31, -5*m + 22 = -l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/23, -4\/33 in descending order.\nAnswer: 3, 2\/23, -4\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from {o: 13, m: 3, a: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -562 - -523. Calculate the remainder when 480\/180*s\/(-4) is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236854488 to the power of 1\/3, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 52. Is g < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5375, 10791, 16253, 21761, 27315?\n\"Answer: 23*c**2 + 5347*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*g + 324 + 577 + 139. Solve 0 = -g*j + 262 - 272 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -85 (c) -5 (d) -1 (e) 3 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + -1)**2*2.\nAnswer: -24*sqrt(7) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/682*-1*-1*-3*18\/135?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21059, 83939, 188673, 335255, 523679?\nAnswer: 753939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**3*j - 687*i**3 + 2*i**2 - 250*i*j - 41*i wrt i.\nAnswer: 12*i*j - 4122*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 426152 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + 4*k**5 + k**2 - 2*k**5 - k**2 + (0 + 1 + 1)*(-3*k**5 + k**5 + 0*k**5) + 3*k**5 - k**5 - k**5 - 543*k + 543*k - 8*k**5.\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Suppose x + 2 = 4*i, -u*x - 11 = 3*i - 1. Let p be ((-4)\/(-32))\/(1\/(-2)). What is the third biggest value in -4, i, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5642135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 2. Suppose s = 5*b - 44 - 41. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -49*d**3 - 2*d**2 + 3*d + 2. Let r(a) = -a + 3. Let f = 4 + 1. Let q be r(f). Let y be w(q). What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*3\/7 - 6\/(-21). Let n(d) be the first derivative of d**2\/2 + d + 6. Let m(b) = 7*b + 4. Let o(t) = j*m(t) + 3*n(t). What is o(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*o + 31*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*l + 284*l = -32 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 571347 and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73817 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 5, 1 in increasing order.\nAnswer: 1, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -89cfb8?\nAnswer: 89cfb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (76\/(-8))\/(1\/(-10)).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, d: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 16*q - 1. Let b(p) = -3*p. Let x(l) = 11*b(l) + 2*w(l). Let r be (-9)\/(0 + -1)*-1. Let o be x(r). Solve 0 = -m - 2 + o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -14. Suppose -5*h + 45 = -0*s - 5*s, -2*h + 33 = -5*s. Let c be 2\/h + 612\/8. What is the greatest common divisor of x and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - 2) - ((18 - -11) + -26)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -519 + 366. Suppose 3*z - 3*x - 205 - 98 = 0, 5*z = 3*x + 501. What is the highest common factor of z and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.85 - -49. What is p rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -1469?\nAnswer: -1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32428 and 30879496.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 11 = -w - 2*w, 4*w = 4*c + 8. Let k(j) = -5*j + 13. Let g be k(w). Let f(p) = -p**2 + 3*p + 1. Give f(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-42)\/(-27) + 1219\/(-477). Which is the fourth biggest value? (a) 0 (b) q (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2054?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 (base 4) in base 3?\nAnswer: 20120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 221*n**3 - 119*n. Let f(q) = -11*q**3 + 6*q. Calculate -119*f(w) - 6*v(w).\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**3 - 9*n**2 + 16*n - 43. Let v be k(6). Let x = v - -2032. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -41 - (3 + 1)) + -23?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1741626, 3483257, 5224888, 6966519?\nAnswer: 8708150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/4*(-12)\/(-9). Let f = 12 - i. Let k(u) = u**2 + 2*u. Let m(q) = -2*q**2 - 5*q. Calculate f*m(l) + 5*k(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/5 or -166.99?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.7 - -4. Let c = -0.7 + x. What is the third smallest value in 0, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45484\/11 or 4135?\nAnswer: 45484\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -4889\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 3*a = -46. Solve -j + a*j = -3*l - 1, 2*l = -4*j - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1067 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*m = -6, -3*x = 2*m - 5*m - 18. Suppose 5*g - o - 55 = 0, 1 = -g + 2*o + 3. Let s = g - x. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2101 (base 3) to base 14\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + 14*t + 36. Give n(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154484*c**2 + 86419 wrt c.\nAnswer: 308968*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 1. Let p(h) = 3*h + 1. Determine m(s) + p(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -881, -866, -851, -836, -821, -806?\n\"Answer: 15*m - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-16)*9\/27.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100390000 rounded to the nearest 1000000?\nAnswer: -100000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81271920 by 174.\nAnswer: -467080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38153168 divided by -561076?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8 + (-175)\/14 + 6. What is the smallest value in b, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in seconds?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*a = 7*a + 33, 4*u + 91*a + 292 + 127 = 0 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k*k**(-2\/17))\/k*k))\/(k\/((k**(2\/43)\/k)\/k)))\/(k\/(k**(-5\/8)\/k)*k**(-1)\/k))**50 assuming k is positive.\nAnswer: k**(-505975\/2924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -215*j - 3 + 214*j + 2*j**2 + 1 + j**2 + 2*j**2 - 4*j**2 + (-j + 0*j - j)*(-1 + 2*j + 1) - 2 + 2 + 2*j**2.\nAnswer: -j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1272\/117083 or 0?\nAnswer: 1272\/117083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*o**2 + 11*j*o + 1989*j + 11129*o**2 + 16 wrt j.\nAnswer: -2*o**2 + 11*o + 1989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4375 + -370. Let c = 7136 + h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, o: 3, s: 6, n: 3}. Give prob of picking 2 n, 1 g, and 1 o.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 48 - 4744?\nAnswer: -46b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.1927 - -68.2217. Let j = v - 58. Let t = -0.029143 + j. Round t to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*i + 177*i + 10968 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.092 times -694.261\nAnswer: 63.872012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4205.04 weeks in seconds?\nAnswer: 2543208192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 66. Solve -d + 2*d + 10 = -3*p, -18 = -d + b*p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = m - 72. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265 + 40?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by 62.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (12\/(-32))\/(-3). Let n = 3\/8 + h. Which is the fourth smallest value? (a) -5 (b) 1\/9 (c) -0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*v = 3*j + 6, 2*j - v + 2 = 0. Let n be 1\/2 + 4 + ((-15)\/10 - 0). Solve j*i + i = -2*s + 4, 3 = n*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 57. Let z = h - -15. Suppose 0 = -a + z*g + 384, -a + 2*g + 344 = -55. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * -0.319\nAnswer: 0.7337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 1 - 5*u - 4*u - u**4 + 10*u to the form t + j*u**2 + w*u**4 + q*u + c*u**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -83*b**2 + 4 - 2*b + 23*b + 24*b**2 + 57*b**2 + 2. Determine w(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 901?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**4 - 160*i**3 + 905*i**2 - 750*i = 0.\nAnswer: 0, 1, 6, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = x - 599. Let l(q) = 3*q**2 - 14*q - 12. Let o be l(8). What is the greatest common divisor of o and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7480 divided by -748.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 10501223?\nAnswer: -10501221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10436 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*l + 6*l - 7739 + 5565 + 23526 = 0 for l.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*b + 5*n, 3*b + 18*n - 20*n = -5. Calculate the remainder when 128 is divided by (-185)\/b + 2 + 6.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzzzkzbkzb. Give prob of sequence zzk.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1870151 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -52*n + 13*n + 9*n + 11*n + n**2 + 10*n. Determine i(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.139 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/63, 1 in decreasing order.\nAnswer: 1, 2\/63, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -9)*10\/(-25). Let i = b - -12. Suppose g + i = 19. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18098, -72393, -162884, -289571, -452454, -651533?\n\"Answer: -18098*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 2:31 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355768, 355675, 355580, 355483, 355384?\nAnswer: 355283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vam when three letters picked without replacement from {k: 9, m: 2, v: 2, a: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25348085 divided by 5069617?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53015\/63 + -5889\/7. Which is the nearest to -214? (a) n (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271148661.\nAnswer: 53, 23983937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44211.23 decades to millennia.\nAnswer: 442.1123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118906?\nAnswer: 2, 59453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39591\/2 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 1. Let i be q(10). Let d = i + 11. Factor -11*a - 4*a**2 - 3*a**3 + 11*a - d*a**2.\nAnswer: -3*a**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38, -154, -342, -596, -910, -1278?\n\"Answer: t**3 - 42*t**2 + 3*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 109052912 and 1406.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -3\/8, 7\/6 in descending order.\nAnswer: 7\/6, 0.7, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8532370 rounded to the nearest ten thousand?\nAnswer: 8530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10703695*a**4 + 26*a**3 - 174327*a**2 + 12*a - 3?\nAnswer: -256888680*a + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 18 + 34 - 13 + 3*a**2 - 2 + 2 + a**2 + (0*a + 0*a + a)*(-1 + 1 + 2*a).\nAnswer: 6*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-88))\/(54950\/(-181335))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 17. Suppose -5*k + 85 = -0*k. Let c be j(k). Solve c = -p - p - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 9 - 0 - (-5 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**12)\/g)\/g*g**(3\/4))\/(g\/((g*g**(-12))\/g*g)*g**(1\/5)) assuming g is positive.\nAnswer: g**(-489\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 13 = 2*n, 0 = 3*m - 3*n + 33. Let p(r) = 3*r - 10. Let k = 45 - 40. Let w(c) = 2*c - 7. What is k*p(i) + m*w(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + ((sqrt(176) + (sqrt(176) + 2)*-2)**2 - (1 + -2 + sqrt(176)))).\nAnswer: 84*sqrt(11) + 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 71.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**3 - 15*c**3 - 4*c**3 - 12*c**3 - 13*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -512*w - 63*w**3 + 42 + 255*w + 256*w to the form m*w + y*w**2 + z*w**3 + l and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*s - 9*s - 172*s as r + x*s and give x.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 1311?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) - 26*2\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(15\/(25\/5)). Suppose -a*c + c = -62. Suppose -5*i = 3*h - 130, 5*i + c = -4*h + 201. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*a**6 - 34350*a**4 - 5153603*a**2 wrt a.\nAnswer: 13680*a**3 - 824400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 + -29. Let l = 0 - -0.2. Let a = g + l. Which is smaller: 1\/4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 608*h\/5 - 7152\/5.\nAnswer: -(h + 12)*(h + 596)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**4\/4 + 2*v**3 + 7*v + 109. Let u(n) = n**3 - 4*n**2 - n + 4. Let z be u(2). What is k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274514063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 3553.23?\nAnswer: -7106.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-246)\/(-15) + 3\/5*1. Solve 3*y = 4*b - 13, 4*y + q = 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/12 + -1291*1\/(-4). Calculate the highest common divisor of 133 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*x - 14, 0*p - 3*p = 4*x - 22. Let f(y) = 2*y + p - y - 4. Let v be f(-2). Solve v*k = 5*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -244 + 261. Are 39 and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213174.8 micrograms to kilograms.\nAnswer: 0.0002131748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5632 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 3325.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 113, 686, 2081, 4658, 8777, 14798?\n\"Answer: 60*x**3 + 51*x**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3475403 is divided by 773?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 2*t - 5*t)*(-2 - 1 - 1) + 4*t + 2 - 2 + 2*t - 4*t + 4*t + (-6 + 2 + 2)*(t - t + 2*t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.014, 15, 137 in decreasing order.\nAnswer: 137, 15, -0.014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449*l = -1452*l + 5*j - 93, 202 = 40*l - 0*l + 2*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144107674 is divided by 297.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + a. Let x(n) = -2 + 7*n - 2 - 7*n**2 + 3 + 10*n**3 + 0. Let j(m) = 6*d(m) - x(m). Calculate j(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lal when three letters picked without replacement from pwleelaxeeplax?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67 - 72) + -3 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003841467 rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16488*a*o - 31*a + 9267901*o wrt a.\nAnswer: 16488*o - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.03668 and -0.5.\nAnswer: -0.53668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-3 - 36)) + 2142 + -2169.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**5\/3 + 832*v**4\/3 - 111740*v**3\/3 + 544360*v**2\/3 - 863504*v\/3 + 430048\/3 = 0?\nAnswer: -302, 1, 2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 12:29 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070485934 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -15*n + 130. Is (-6)\/n - 17085\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - -29 - (1 + -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105 is divided by 324?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/21)*m)\/(m\/(m\/m**4)))**26*(m**(-2\/9))**(-7)*(m**(-2\/9))**23 assuming m is positive.\nAnswer: m**(-3344\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373 + -180. Let m = z - 968\/5. Which is the nearest to -5? (a) -0.5 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - t**2)*(t - t + 4*t**2) - 3 + 2*t**4 + 3.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9715, 9648, 9567, 9466, 9339, 9180, 8983, 8742?\n\"Answer: -g**3 - g**2 - 57*g + 9774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -444*g**3 + 15*g**2 - 20*g + 9. Let t(l) = -1330*l**3 + 45*l**2 - 55*l + 28. Let h(u) = 11*b(u) - 4*t(u). Find the third derivative of h(q) wrt q.\nAnswer: 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-2 - -3) + 14 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + -1 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let c(m) be the second derivative of 43*m**4\/6 - m**3\/3 - 1569*m. Determine c(i(z)).\nAnswer: 86*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*h + 5*j, -2*h = -3*j + 2*j + 16. Which is the nearest to 4? (a) -3 (b) h (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/6)\/(17\/102). Suppose 19*g - 1 = d*g. Which is bigger: -1\/88 or g?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 329 + 52?\nAnswer: 37b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*m - 20, 8*c + 3*m = 3*c + 32. Suppose -c*z - 15 = z, p + 5*z + 10 = 0. Suppose o + 0*o = 6. Are p and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Suppose q*s - 9 = -3. Solve p + p = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*z**2 - 48*z**2 + 40*z**2)*(-3*z**2 - 2*z**2 + 7*z**2)*(-3*z - 7*z + 2*z).\nAnswer: -1376*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 215738, 431562, 647386?\n\"Answer: 215824*w - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17065909853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 195334198 to the nearest integer?\nAnswer: 13976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**4 - d**3 - d**2 + d - 3. Let q(b) = -25*b**4 - 3*b**3 - b**2 - 37*b - 19. Let m(l) = -q(l) + 3*y(l). What is the second derivative of m(i) wrt i?\nAnswer: 336*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 11. Let p = 4335 + -4328. Let q = 0.1 + 0. What is the third smallest value in d, p, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**4\/2 - 85*d**3\/2 + 1143*d**2\/2 - 2135*d\/2 - 4753 = 0?\nAnswer: -97, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6193963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1116 and 26598.\nAnswer: 159588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4993.798 from 376.\nAnswer: -4617.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**2. Let z(l) = -10*l**2. Suppose 3*a - 50 = -2*a + 5*y, 15 = 5*a + 2*y. Let m(s) = -7*s**2. Let x(p) = a*z(p) - 7*m(p). Give b(x(k)).\nAnswer: 5*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199857\/29 or -6891?\nAnswer: -6891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -57.392\nAnswer: 22.9568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17\/6 of a week?\nAnswer: 476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - 8 + 24 = 0. Let t(y) = 11*y**2 + 4*y**c - 12*y**2. Let q(d) = -7*d**2. Determine t(q(n)).\nAnswer: 147*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2586*s**2 + 5093*s - 94087104 wrt s.\nAnswer: -5172*s + 5093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 297*o + 22 - 5033*o - 22 in the form y + c*o and give c.\nAnswer: -4736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/2)\/(123 - 26182\/212).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*d + 25, 5*w + 3*d + 36 - 11 = 0. Let i(a) = a - 23. Let u be i(15). Let k = w - u. Solve 0*z + 3 = 3*z + 4*f, 2*f - 15 = k*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.781 and 38.\nAnswer: -29.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28793 <= -109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -182 in 2\/13, -0.056, 0.5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*h - 19355 = 0, l - h = 3*h + 3889. Suppose 3*j - l - 5068 = 0. Is 4\/(-6)*j\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - -5)*(8 + -30 + 24)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(0*g - g - g) + (2 - 2 - 1)*(-g + 3 - 3) + g - 3 + 3.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 63 = -7. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(48\/(-54))*24\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 32032\/10 - (-4)\/(-90)*-18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 7:31 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 l when two letters picked without replacement from {l: 2, h: 7, m: 2, d: 8}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2005 and 563.\nAnswer: 1128815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 28?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -222336 divided by 1737\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4124, -5 in decreasing order.\nAnswer: 6, -5, -4124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516929007.\nAnswer: 3, 7, 24615667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*l - 17, -7*m + 2*m = -5*l - 15. Which is the closest to m? (a) -0.3 (b) 0 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -18*n + 8. Let r(g) = -6*g + 3. Let c(l) = -3*i(l) + 8*r(l). Let o(p) = 2*p**2. Give c(o(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1 (b) 301.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Let m be ((-2)\/(-3))\/((-10)\/(-6)). Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -388 + 9698\/25. Let p be (-1 - 1)\/4*(-20)\/10. Which is bigger: p or r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from sssssstssssssssssss?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 13*q + 5 - 34*q + 9*q.\nAnswer: -38*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2 - 129*d + 6045. What is m(-96)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-8) + (-1)\/4. Suppose -3*o + 0 = n*v - 33, o - 3*v + 9 = 0. Suppose 5*z - 168 - 42 = 0. Calculate the highest common factor of z and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48409 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 11:52 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 + 96*a**4 - 1389*a**3 - 48498*a**2 + 5508*a + 192456 = 0.\nAnswer: -27, -2, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xiix when four letters picked without replacement from iiiiiiiiixxiixi.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -6*r - 6. Let w = -2 - r. Suppose w + 5 = 3*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: Express 2*h**4 - 2*h**2 - 2*h + 0*h**2 - h**3 + 0*h**2 in the form w*h**2 + o*h**4 + z*h + n + p*h**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -771237 divided by -1279\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2 - 8*c - 16. Let s(f) = -6*f**2 - 8*f + 1. Let k(m) = -d(m) + 2*s(m). Give k(-8).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*i + 5 = 2*q, q + 3*i = 13. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1727*p**2. Let n(y) = -2*y**2. Calculate q(n(x)).\nAnswer: 6908*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/5 - 126*b\/5 - 396\/5 = 0.\nAnswer: -3, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - 0. Suppose 2*w = u - 10, 27*w = 23*w + 5*u - 20. Which is the fourth smallest value? (a) 0.2 (b) w (c) v (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44900, -179946, -405040, -720182, -1125372, -1620610?\n\"Answer: -45024*i**2 + 26*i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 3*s - 6, -3*s + 4*z - 16 = -7*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -431299 and -430476 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -27, 1, 75, 5.\nAnswer: -27, -3, -1, 1, 5, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13361 and 1047761?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 3*d**3 - 45*d**2 + 27*d + 162.\nAnswer: 3*(d - 3)**2*(d + 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -684, -684, -682, -678, -672?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty-one sevenths of a week?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -95. Suppose v = -v + c. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1763045781?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30836 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 divided by 93.\nAnswer: 295\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -101002 (base 3) to base 15\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1228.34 + -21.66. Let b = f - -1249.99998851. What is b rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65054727*q**2*r**2 + 933*q**2 + 1706 wrt r.\nAnswer: 130109454*q**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -407*i. Let l(r) = 3*r. Give k(l(g)).\nAnswer: -1221*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4076 + 4075.5. Let u = -3 - -1. Which is the nearest to -0.05? (a) v (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:27 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1859454519?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d + 1. Let x(v) = 218*v**2 - 17*v - 9. Calculate 6*h(k) + x(k).\nAnswer: 218*k**2 + k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t + 19. Let o be s(-3). Let a be (o\/((-6)\/(-42)))\/(-2 - -3). What is the greatest common divisor of a and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1041152 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: Express -4*z**3 + 6*z**3 + 4*z**2 + 1 - 6*z**2 + z**2 in the form s + j*z**2 + l*z**3 + p*z and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27092?\nAnswer: 2, 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -1967?\nAnswer: 39.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.294803 times 355?\nAnswer: -104.655065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2696*c + 12241*c + 264*c.\nAnswer: 15201*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 5*s - 2*u - 0*u, 4*s = 5*u - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least as big as -4\/14005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27420 + 27420. Which is smaller: 7.969 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110110111 + 1111101010?\nAnswer: -1011111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**2 + 164*r - 417. Give s(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 68 = -28. Suppose 2*f = -f + o. What is the smallest common multiple of 2 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 904126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47288 and 644.\nAnswer: 331016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51480096 divided by 51480096.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.0177, -2629?\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -3, -5 in descending order.\nAnswer: -3, -5, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -33. Let w(p) = 4*p**3 + p**2 - 4*p + 3. Let v be w(3). Calculate the greatest common divisor of v and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8e12 (base 15) in base 4?\nAnswer: 13113113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 531074580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/29950 and -13\/20965?\nAnswer: 209650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 316 = -4*z. Let b = z - -171\/2. Find the common denominator of b and -1 - (-3)\/9*5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-255)\/(-1020) + (-18)\/8 - (-6)\/1. Let q be (-1 + 6\/2)\/5. Which is the fourth biggest value? (a) 5 (b) q (c) g (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(66))\/sqrt(6) + sqrt(33)\/(1*sqrt(3)*6).\nAnswer: 31*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**5 - 70*y**4 + 565*y**3 + 1610*y**2 - 2180*y - 5320 = 0. Calculate y.\nAnswer: -19, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.32 - -2262.\nAnswer: 2261.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 514\/7. Which is the third smallest value? (a) -1\/4 (b) 5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -35*m - 1684. Let q(o) = -3*o. Calculate r(q(h)).\nAnswer: 105*h - 1684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 762 and 3786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -5*x + 22, 4*x - d = -0*d + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -8, 5*f - z - 9 = 5. Suppose -w - 57 = -f*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - 0)\/((-6)\/12). Suppose 5*d = d - 2*g + 750, 5*g = c*d - 405. Suppose -2*q + 246 = 4*k, 0*k - 4*q - d = -3*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/22)*n*n**(2\/43)*(n**(2\/7))**(-24) assuming n is positive.\nAnswer: n**(-38779\/6622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 28780*z**2 + 52*z + 1. List the prime factors of y(1).\nAnswer: 3, 7, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15390 and 101061?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*l**3 + 27*l**3 + 86*l**2 + 20*l**4 - 78*l - 18*l**4 wrt l?\nAnswer: 24*l**2 + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18\/11 + 68\/55. Let v = -46494 + 46493.7. What is the nearest to 12 in v, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150693000 rounded to the nearest 1000000?\nAnswer: 151000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3443031 (base 8) in base 16?\nAnswer: e4619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/15*3*(-1)\/2. Factor 4\/5*j**4 + 0*j**3 - 4\/5*j**2 + 2\/5*j**5 - f*j + 0.\nAnswer: 2*j*(j - 1)*(j + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63170085, -126340166, -189510247, -252680328?\nAnswer: -315850409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 18. Let o(r) = -2. Let m(h) = -2*k(h) + 18*o(h). Let a(u) = 6*u - 4. Let d(g) = 0*g + 0*g + g - 1. Let y(v) = a(v) - 4*d(v). Give m(y(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 4*j + 6. Let b be t(5). Let g be 2\/11 - 378\/b. Suppose -g*l = -3*r - 78, -5*r + 14 = 3*l - 30. Does 18 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 68640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3223.6524 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 7:24 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from wkkw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 29\/9 - 8\/36. Suppose -5*z = -2*p - 6, -v*p + 3 + 3 = 0. Solve 5*d - z*d = -3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 41523 + -2?\nAnswer: 41521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16281, 16585, 17093, 17805?\nAnswer: 18721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 7*j + 3. What is y(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**4 - 2*n - 1. Let g(s) = 6*s**4 + 5*s + 3. Let b(z) = -2*g(z) - 5*q(z). Find the first derivative of b(v) wrt v.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from pbbhphbpepbpe.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -266\/193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134628 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1690196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13)\/(-3)*(1 - (-40)\/(-25)) and 4\/55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75899508 and 94874385?\nAnswer: 379497540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.034, 37 in increasing order.\nAnswer: -4, 0.034, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9374287 (base 10) in base 3?\nAnswer: -122122021002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, v: 1, g: 1, b: 1}. What is prob of sequence vb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-1)\/21). Suppose -3*a = -0*a + 15. Let s be 0 - a\/(5\/m). Calculate the greatest common divisor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 5)*(-2 - 15 - 1)*(-2*s**3 - s**3 + s**3) as t*s**3 + p*s + g + b*s**2 and give t.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -930?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2748 or -2752?\nAnswer: -2748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 380483440 to the power of 1\/3, to the nearest integer?\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:00 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -6892, -21\/5, -1\/3, 5, -0.3, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from nrbmrnnwrnrwqwn.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 25.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15048 and 2871.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -2\/5 (c) 1\/55 (d) -1\/62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 32*k**2 - 34*k - 1. Determine b(31).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28750813.\nAnswer: 7, 13, 37, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 2. Let s = 0 - 0. Let f be w(s). Suppose -1 = -k + f. Is 3 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 5:10 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192\/5 + 38. Suppose -3 = x - 4*x. Let g be 2\/(1*(-6 - x)). What is the nearest to g in 1\/9, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 34*r**2 - 5*r + 41. What is t(34)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*j**2 + 55 - 26 + 2*j - 27 - 252*j**2.\nAnswer: -375*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -10*p**2 - 11. Let m(h) = -3*h**2 - 4. Let c(a) = 2*g(a) - 7*m(a). What is the derivative of c(b) wrt b?\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 320 - 16 - 290 + 2*m.\nAnswer: 2*m - 502","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 36*l + 31*l + 79 = 0, -l + 186 = 5*s. Calculate the remainder when 81 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 8396138*y - 58772967. What is h(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7590804 and 2.826.\nAnswer: -7590801.174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 + n - 7. Let s be q(8). Is s not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 18. Solve y = -5*b - g - 9, -4*b = -0*g - 3*g + 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 + 9 = 0. Suppose 3*h - 2*h = 0. Let d be -19*(-15)\/(-570) - (-2 - 2\/4). Solve -n*s = 4*i + 10 - h, -i - 8 = -d*s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 76714, 76711, 76708, 76705, 76702, 76699?\n\"Answer: -3*r + 76717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1078, -1062, -1046?\n\"Answer: 16*a - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 2933.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -149*x**5 - 245013*x**4 + 52253362*x**2 - 1.\nAnswer: -8940*x**2 - 5880312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36421 is divided by 12138.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from {j: 4, i: 7, e: 1, h: 2, k: 1, p: 3}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (71\/3)\/(-10 + 637\/63)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -99*u**3 + u**2 - u - 1. Let j be i(-1). Let s be 4*(-5468)\/8*j\/2. What is s rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + 2*d - 2*d. Let y(f) = -13*f - 15*f + 51*f - 21*f. Give a(y(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, q: 13, z: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by 33\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - 1.8. Let z = 0.4 - r. Sort z, 0.2, 1\/2 in increasing order.\nAnswer: z, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 7:20 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768)*-4)\/sqrt(6)*6.\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42137?\nAnswer: 29, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001525 rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -14*d + 30251. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -974*f + 25904 = -966*f. List the prime factors of f.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 39, 49, 45, 21, -29, -111, -231?\n\"Answer: -p**3 + 2*p**2 + 19*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3079*s + 1086*s - 776*s + 2738*s - 814*s - 555*s.\nAnswer: 4758*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 15. Suppose l + g*c - 10 = 0, 0 = 5*l - 6*c + 2*c - 108. Solve -q + 5*q - l = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*1\/9*(-2214)\/164?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**2 - 15*a + 3. Let c(t) = -14*t**2 + 28*t - 7. Give 6*c(k) + 13*p(k).\nAnswer: -6*k**2 - 27*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41431135 a multiple of 1252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-112 - -39 - -42) + -17\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, and 2 b when four letters picked without replacement from diodddbxb?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/48)*o**4*(o**23*o)**16)**(-3\/10) assuming o is positive.\nAnswer: o**(-18623\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -5229 and 527 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**3 - 2*d**4)*(3*d - 5*d + 0*d) + (11*d**2 + 19*d**2 + 10*d**2)*(d**3 - 2*d**3 - 3*d**3).\nAnswer: -156*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/3 and 137\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 844657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/69194 and 95\/1508.\nAnswer: 1799044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3. Let f = p + 7. Let b(t) = t**3 - 6*t**2 - 8*t + 10. Let x be b(7). Solve x*v - 6 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1492, -11856, -40000, -94816, -185196, -320032, -508216?\n\"Answer: -1482*c**3 + 2*c**2 + 4*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -5*w**4\/24 - 5*w**3\/3 - 49*w**2. Let t = -8 + -2. Let c be j(t). What is the greatest common factor of 120 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -303117469525 and -4.\nAnswer: -303117469529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 360 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:47 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + 0*o)*(35 + 1 + 4 + (1 - 2 + 0)*(-1 + 0 + 2) - 1 - 1 + 4).\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 20*d**2 + 0*d - 1\/12*d**4 - 1\/90*d**5 + 0 - 2\/9*d**3. Let m(x) = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.45 and -2.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 96 + -482\/5. Suppose -2*z = -5*o - 0*o - 84, 2*o = -2*z - 28. Let q be (o\/(-36))\/((-4)\/6). Sort u, 2, q in ascending order.\nAnswer: q, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291+0.5\nAnswer: 291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291997*k**6 + 79591*k**2 - 3*k wrt k?\nAnswer: 35039640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b + 11. Let m be u(0). Let f be -3 + -5 + (m - 3). Solve 0 = 3*d + p - 15 + 4, f = -4*d - 5*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/4 + 939201*z**2\/4 - 5635287*z\/4 + 8452971\/4.\nAnswer: 3*(z - 3)**2*(z + 313073)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 9, 5, -5, -21?\n\"Answer: -3*w**2 + 11*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 417 divide 459473952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 17 + 4 = -3*y + 3, -196 = -24*j - 2*y for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6400?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.492459763 to 2 dps.\nAnswer: -2.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * 63\nAnswer: 1.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.88 less than 0.299740708?\nAnswer: -71.580259292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772796?\nAnswer: 2, 43, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 583\/(-847) - 4\/(-28) - 100\/(-22). Solve c*k + 4*t + 40 = 0, 1 = -4*k + 5*t + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 - 187*r**3\/3 - 588*r**2.\nAnswer: r**2*(r - 196)*(r + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15895279, 15895279, 15895277, 15895273, 15895267, 15895259?\nAnswer: 15895249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -18, -5.\nAnswer: -18, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:09 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 111 = -2*c - 29, -4*f = 5*c - 112. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0372339918 rounded to 4 decimal places?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 - ((161 - 121) + -161).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-0.393\nAnswer: -0.1965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y**2 + 2*y - 5. Let a(c) = -c**2 + c - 1. Let n(i) = 2*a(i) - h(i). Differentiate n(b) with respect to b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**4\/6 + 5*x**3\/3 + 11*x**2\/2 + 22*x\/3 + 10\/3 = 0.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, 4, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnoo when four letters picked without replacement from {f: 5, o: 5, n: 2, u: 3}.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1\/5, -14, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 113*x**2 - 2061*x - 806. Give h(90).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, -0.2, 29, 3710, 11\/6, -8?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*l - 2*l + 16, -3*l + 19 = 4*j. Let y = l + 4. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*k - 1194*k - 800*k + 333*k - 84*k - 1116*k.\nAnswer: -2555*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l + 1717 = 11762. What is the greatest common factor of 84 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 divided by 141.\nAnswer: 17\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80102799?\nAnswer: 3, 7, 181639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -18*g + 19. Let h = -18\/385 - -299\/6160. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 25.2. Which is the closest to 0? (a) 4 (b) -3\/4 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -162, -157, -152, -147, -142?\n\"Answer: 5*u - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 928606*i**2 - 1160312 wrt i?\nAnswer: 1857212*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 219591 or 219600?\nAnswer: 219591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*m - 7*m - 7*m. Suppose 4*y + 7 = 5*n, m = -0*y + 4*y + 5*n - 23. Solve -10 = 8*g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(133)*-3 + sqrt(133))*-5*-3)\/(sqrt(63) + sqrt(126)\/(-3*sqrt(2))))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1\/644 + -83\/644. Sort -2\/9, l, -0.03 in decreasing order.\nAnswer: -0.03, l, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.1 + 44.1. What is the biggest value in p, -6, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*y + 5368 + 6866 = 1356 for y.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -24?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*4 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1041 + -1046. Suppose -6*w + 7*w - 7 = 0. Suppose 3*s - 8 = w. Sort 4, b, s, -4 in descending order.\nAnswer: s, 4, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -90, -2\/5, 2 in ascending order.\nAnswer: -90, -5, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -4 + -24 - 3) + -182 + 181.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360))\/sqrt(10))\/(sqrt(108)*6) + ((sqrt(15)\/sqrt(5) + 2)**2 - (2 + sqrt(3) + 3)).\nAnswer: 2 + 26*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1364 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3.3, -5, -2, -267?\nAnswer: -267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 - 12.66. Let i = o - -12.66. Let p = 4.66 - i. Which is the closest to 1? (a) -1 (b) p (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235 + 3639071*m + 1235.\nAnswer: 3639071*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*r - t - 96, 92 = 2*r + 4*t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 843193, 1686382, 2529571, 3372760, 4215949, 5059138?\n\"Answer: 843189*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = 5. Let h(y) = 2*y + 1. What is h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -49 - 35. Suppose -y - 3*y - 5*o - 91 = 0, -140 = 5*y + o. Let l = q + y. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 878560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34271 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10133300 (base 6) to base 10\nAnswer: -292356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 224*m**3 + 207 wrt m?\nAnswer: 672*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172373219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1627 - 1636. Let l(f) = -2*f**2 - 20*f - 16. What is l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2271249*y**4 + 3119357?\nAnswer: 9084996*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55508 divided by 27754?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(5)*2*-4)**2 + -1).\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11808 * 0.4\nAnswer: 4723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/6 - 4*j**2\/3 - 5*j\/6 + 25\/3.\nAnswer: -(j - 2)*(j + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(6\/(-4) - (6 + -6)). Suppose 7*f - 5*u = 3*f + 18555, 0 = -5*f + p*u + 23210. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -647*d**3 - 5*d**2 - 22*d - 42*d + 641*d**3 wrt d.\nAnswer: -36*d - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6930 - -4.19?\nAnswer: -6925.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.066958096 to 3 dps.\nAnswer: 0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*l**5 + 17 - 17 - 2*l**5 - 3*l**4 + 3*l**4 + (l**3 + 0*l**2 + 0*l**2)*(3 - 2*l**2 - 3).\nAnswer: -23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 2*p**2 + 5*p - 4. Let m = -5 + 8. Let k = m - 0. Let b be r(k). Solve -b*a + 0 = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 327*z**2 + 121*z + 37. Calculate l(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.7 - -0.7. Let x be (5 + -5)\/(15 + -12). What is the smallest value in j, x, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-33) + (-1 - 5094\/(-66)). Let n be (2\/(-8)*z\/(-57))\/(-1). Let o = -3 + 4. What is the smallest value in n, -3\/2, o?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 4. Let p be q(-4). Suppose 3*a - 12 + p = 0. Suppose -a*g + 25 = g. Calculate the greatest common factor of 40 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 8. Let z be a(-4). Let x(c) = c + 28. Let h be x(z). Calculate the highest common factor of h and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172613 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 345886622?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5033192, 10066138, 15099096, 20132072, 25165072, 30198102?\n\"Answer: u**3 + 5032939*u + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.034707303181 - -141.\nAnswer: 140.965292696819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 782 - -29?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7711364?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -9. Suppose -4*w - 12 - 35 = 3*m, 0 = -3*m - 5*w - 52. Let f = 18 + m. Calculate the highest common factor of f and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -376, -366, -346, -316, -276, -226, -166?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - d = 4. Suppose -d*z - 32 = 2*z. Calculate the remainder when 45 + z\/(4\/(-1)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 2*r - 4. Let i be (-2 + -2)*(-54)\/72. Calculate l(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 9*s**2 - 14*s + 9. Let x be d(-7). What are the prime factors of 3 + 1 + (x - -58)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (88\/16)\/(2\/12) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 2:32 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncc when three letters picked without replacement from {s: 2, n: 3, c: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**3\/2 + 318817*i**2\/2 - 28705680*i + 1291937850 = 0.\nAnswer: -318997, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 2:07 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59976819, 119953636, 179930453, 239907270, 299884087?\nAnswer: 359860904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 - 20 + i - 21*i. Let t(l) = -7*l - 7. Let b(u) = 5*s(u) - 14*t(u). Let d be b(-8). Solve 3*x + d = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1 - 4*z + 3*z + 14*z - 2. What are the prime factors of c(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 149*x + 36. Determine l(-2).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.73*20837.\nAnswer: -36048.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -662*p + 63540 = 519*p + 260*p - 29*p for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 8*g + 9 = 3*h, 4*g = 0. Suppose 3*l = -4*m + 10, h*m + 9 + 6 = 0. Calculate the lowest common multiple of l and (-3)\/(-1 + 12\/21).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58911877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 7*l + 10. Let r be a(-7). Suppose 2*z = 4, -3*z + 12 = 4*t - r. Suppose t*u - n = -3*n + 52, 4*n = -16. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 98.97. Sort z, 1, -2 in ascending order.\nAnswer: -2, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3395b (base 15) to base 7.\nAnswer: -132252410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 540*s - 316435. Give w(586).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 172855 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-13 - -15 - 1 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/182496)\/(3\/(-98098)). Let a = -2\/5703 - f. Find the common denominator of -91\/6 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-15)\/(-9))\/(-5)*(0 + -6). Suppose 3*p = q*p + 6*p. Suppose p = -c + 20 - 5. Solve -k - 2*k = -c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + ((-44)\/(-99))\/(2\/9). Solve -8 = 4*k - g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*h - 15 = -173*h. Let u = -1 + 4. What is the highest common factor of u and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 20, -0.4, 43\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2401, 4796, 7191?\nAnswer: 9586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/7805024 and 47\/560.\nAnswer: 273175840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 625 and 15.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3) + -1 + 2 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -129*k + 25 + 24 + 22 - 45. Is a(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1732455 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14517651.\nAnswer: 3, 2129, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) -2 (c) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -88 (base 9) to base 8\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*1\/(-4) + (-1114)\/(-4). Let z be h\/(-12)*3 - 1. Let d = 99 + z. Calculate the greatest common factor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 491.6 + -492. Let m = 7 - 5. Let f = m - 1. Put x, -1, f in descending order.\nAnswer: f, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2646022085 + 6.\nAnswer: -2646022079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476023324?\nAnswer: 2, 7, 17, 353, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -435040 by -5.\nAnswer: 87008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(128) + 1 - (-1 + sqrt(2)*-2 - (sqrt(2)*2 + 4)).\nAnswer: -12*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + (-169)\/(1528098\/(-90552))\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.209 and -0.4.\nAnswer: 4.0836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36520 and 2324?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 + 37. Are -0.3 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 8*y**2 + 12*y - 41. Determine p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 93*s**3 + 7*s**2 - 6*s. Let m(a) = -a**3 + a. Let y(q) = b(q) + 4*m(q). What is the third derivative of y(j) wrt j?\nAnswer: 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) -2\/21 (b) -3\/5 (c) 1\/2 (d) -4 (e) -3\/29 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1949 (b) 4.5 (c) -286\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2070*-6*(-29)\/((-725)\/75)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314221, -628675, -943129, -1257583, -1572037, -1886491?\nAnswer: -2200945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*b + 5*j - 67, -12*j + 10*j = -5*b - 30 + 2 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56898, -223400, -500904, -889410?\n\"Answer: -55501*k**2 + k - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-18) + (-1428)\/(-108) + -7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d. Suppose -5*v - h - 1 = 3, 5*v = 2*h + 8. Let b(w) be the third derivative of 0*w + 0*w**3 + 1\/30*w**5 + 0*w**4 + w**2 + v. What is b(a(r))?\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -81*q + 2. Let l be u(-2). Suppose -2*x - 15 = -7*x. Suppose -x*g - l = -5*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvn when three letters picked without replacement from {h: 5, o: 3, n: 6, v: 2, l: 2}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -52305.827331787 and 1.\nAnswer: -52304.827331787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.1+-0.59\nAnswer: 5.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i**2 - 16*i - 3. Let t(m) = -5*m**2 - 17*m - 4. Let b(r) = 4*q(r) - 3*t(r). Let d be b(-6). Let a = d - 20. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14579, -29159, -43737, -58313, -72887, -87459, -102029?\n\"Answer: a**2 - 14583*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21522 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14 - 3)*-1 - 1. Let w be u*(-1 - (-6)\/9). Suppose 4*x - 4*d = 128, -2*x = 2*d - 62 - 2. Calculate the highest common factor of w and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 11136986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (15 - 1911\/84).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 8*a**2 + 2*a + 12. Give s(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.034 - 5.834. Let p = c + 5. Let t = -3.2 + p. Sort 1, -5, t in increasing order.\nAnswer: -5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = v - 2*k, -2*v - 2*k = 0. Let u be 32\/12 + 2\/(-3). Let t(a) = -3 + 2 - 2 + 8 - a - a**u. What is t(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 970445 + 2072559.\nAnswer: 3043004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -943 by 1.\nAnswer: -943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -677\/3, 0, 5, -5, -0.6.\nAnswer: -677\/3, -5, -0.6, -2\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 7*c**3 - 3*c**2 + 32*c + 8. Let n(q) = 4*q**3 - 2*q**2 + 19*q + 5. Let w(x) = -3*b(x) + 5*n(x). Let f(z) = 3*z**2 + 4*z - 2. Calculate f(y) + 2*w(y).\nAnswer: -2*y**3 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y**5\/15 + 42*y**4 - 34292*y**3\/15 - 15064*y**2\/15 + 5648*y\/5 - 2816\/15 = 0.\nAnswer: -22, -1, 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10532*u**3 + 19*u + 5240*u**3 - 4 + 5267*u**3 + 7*u**2 wrt u.\nAnswer: -150*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 7 - 2. Suppose -w*i + 14 - 14 = 0. Solve i = h + 4*j + 13, -2*j = 4*h - 0*j + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182980763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = 3*b, -10 = 2*u - b + 10. Let j = 62 - u. Let g be j\/(-3 + -3)*(-2)\/(-4). Let y(h) = h - 1. Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 54561?\nAnswer: 54562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.2 - 16.4. Put 2\/5, 0.2, 0, j, -7 in increasing order.\nAnswer: -7, j, 0, 0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69474 is divided by 363?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 at most 369435\/6598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -262922, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u. Let x(j) = 5804790*j - 7. What is x(o(m))?\nAnswer: 52243110*m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 7*w + 52. Let b be p(-5). Let m be ((-18)\/(-9))\/((-2)\/4). Let y be m - (3 + -1 + -2). Put y, b, -3 in descending order.\nAnswer: -3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309275 + 1107.76?\nAnswer: 6310382.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -611*l**3*w + 3*l**3 - 1295*l**2 - 2*l*w wrt l?\nAnswer: -3666*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 592150.3113 to the nearest 1000.\nAnswer: 592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1b18700?\nAnswer: -1b186dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/16 and 190\/440 + (-4)\/(-4).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/684 and -5\/1254.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-18 + -11 + -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/38013?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -149*y**4 - 8*y + 234. Let p(c) = -2*c**4 + c - 1. Let h(n) = -2*j(n) - 14*p(n). What is the second derivative of h(z) wrt z?\nAnswer: 3912*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*808066.\nAnswer: -80806.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 37 (b) 2\/47 (c) -22\/9 (d) 2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:07 AM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1) + (-26318)\/12. Let b = i + 2197. Calculate the common denominator of b and 23\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 89350565 to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 13*l**2 + 13*l - 10. Let j be z(-14). Calculate the common denominator of -59\/21 and ((-335)\/40)\/(((-45)\/j)\/(-5)).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 - 80*f**3)*(3*f**2 - f**2 - 3*f**2).\nAnswer: 80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -1 + 4 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6886, 7081, 7272, 7459, 7642, 7821?\nAnswer: 7996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, 0.7, -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -141627514 + 141627501.9999987. Let w = 12 + v. What is w rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, 1, 0.1 in ascending order.\nAnswer: -3, 0.1, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*9*(-2)\/(-30). Let r(q) = -4*q**2 + 3*q. Let v(w) = w**2 - w. Let l(k) = y*v(k) + r(k). Let c(a) = -3*a. What is c(l(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/25, -3\/5, 1, -15, -2882 in descending order.\nAnswer: 1, 0.5, 2\/25, -3\/5, -15, -2882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 23 = -4*t, 2*r + 11 = t + 2. Is r > -15\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240*b = 45*b + 585 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -11 + -2 + (-1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5543483 and 14927.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 164, 163, 162?\n\"Answer: -v + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/3164 equal to -4458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 456.\nAnswer: -5016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Does o = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4))**2 assuming b is positive.\nAnswer: b**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -13 - g = -d. Suppose 3*l - 8*l + d = 0, 290 = 5*b + 5*l. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69959415 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6636371?\nAnswer: 7, 948053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 2*b**6\/15 + 3*b**2\/2 - 4*b + 5. Let v(k) be the first derivative of w(k). What is the first derivative of v(z) wrt z?\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11770393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1177 - -483. Let m be (-55)\/(-11) - y\/2. Suppose -2*u = 5*a - 1314, 4*a - m = 3*u + 690. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 61*n - 77. Let t be r(-7). Solve 17 = -k + 5*q, -2*k + 5*q + 14 = t*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 8*u. Let c be s(-8). Suppose z + 3 = -c. Put z, 0.3, 5 in decreasing order.\nAnswer: 5, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-1 - 0\/(-3)). Let m = 1 - z. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/8 - (-6)\/(-8). Suppose 0 = i*u - 2 - 3. What is the first derivative of -2*n - 2 + u - 2 + 2 wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.1 (c) -2427056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u. Let v(w) = 6936*w. Give g(v(i)).\nAnswer: -76296*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 550303 + -20?\nAnswer: 550243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 28*y**2. Let d(p) = 2*p + 2. Let c(h) = 6*h + 5. Let x(n) = -4*c(n) + 10*d(n). Determine x(f(j)).\nAnswer: -112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/56 - (27\/(-180))\/(4\/30)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 192 = 7*q. Let c(x) = -x**3 - 31*x**2 + 25*x + 51. What is the units digit of c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/49 and 34\/133?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2115)\/18*(-24)\/(-105)*4445\/(-5080).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 5. Let a(u) = u**3 + 5*u**2 + 3*u + 2. Let h be a(-4). Let q = 1 + h. Let k be -2*(1 + q\/(-2)). What is x(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3228952 and 3776.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -313767, -627583, -941399, -1255215, -1569031, -1882847?\n\"Answer: -313816*y + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 15 = -0*m - 3*t, 3*m = t + 7. Put -3, m, 1\/3 in ascending order.\nAnswer: -3, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 65*x - 162. Let s be j(11). Let h = 552 - s. Let p(z) = -z**2 - 1. Let u(l) = -4. Let q = 14 - 10. Determine h*u(a) + q*p(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - z + 22 = 0, 0*z = -17*j + z - 87 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -40. Let b be (8 - 3)\/(-20) - 2\/w. Factor 0*c + b + 8\/9*c**3 + 2\/9*c**4 + 8\/9*c**2.\nAnswer: 2*c**2*(c + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 divided by -15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a + 7. Let l(q) = -q + 1. Let i(h) = -14*l(h) + 2*m(h). Suppose -11 = 3*o - b, -5*o - 3*b - 18 = 5. List the prime factors of i(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 11. Let s(d) = 2*d**3 + 0*d**3 + 7*d - 1319*d**2 + 3 - 3*d**3 + 1325*d**2. Let m be s(w). Solve m*a = 5*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 22*t**2 + 24*t - 34. Give z(23).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*u**3 - 5*u**3 + 8*u**3 + 8*u**3 - 16*u**3.\nAnswer: -2*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 339433252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 5*u - 10. Let w be f(-7). What is the third biggest value in -3, w, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cfc when three letters picked without replacement from gwzczfzazzgafzg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6 + 0 + 1 - 4 + 14*m + 11*m**2. Let v(x) = -4*x**2 - 5*x - 1. Let k(a) = -3*h(a) - 8*v(a). Find q such that k(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2154804 divided by 13638.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -11233?\nAnswer: 11303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*p - 124 = 65, -5*k + 259 = 3*p. Calculate the remainder when 234 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, 22, 94, 238, 478, 838, 1342?\n\"Answer: 4*x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 6 + 26*h**2 + 2*h - 2*h - 2. List the prime factors of a(-2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 254707*k - 19. Let q = -120 - -137. Let f be g(q). What is f rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 6:29 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220 - 1021?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1167 + 2299 = 91*a + 554 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1660198700 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 0. Suppose h - 4*h = -15. Let s(l) = 4*l**2 + l + 2. Let a be s(-2). Solve r = -h*y - 0*y + 2*b + a, -3 = -3*y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 1:15 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -16. Let s = -580\/207 - -26\/9. Which is the second smallest value? (a) s (b) 1\/3 (c) k (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2966048 and 48.\nAnswer: 8898144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/9 + j**4\/9 + 29*j**3\/9 - 5*j**2 - 24*j + 48.\nAnswer: -(j - 3)**3*(j + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 70202434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*w = -53*w - 2130 - 628 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -2*g - 2, 28*y - 6 = 25*y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**2 - 10 - 143*x**3 + 2*x + 67*x**3 + 74*x**3 + 38 to the form r*x + q + v*x**2 + d*x**3 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/520 and 11\/2742910.\nAnswer: 142631320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650849199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 5*q + 4. Let p = 29 - 24. Let h be z(p). Suppose -2 = h*u - 34. Solve 5*b - u = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45031 or -45034?\nAnswer: -45031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - 6) + 3 - (-13 - (-14 - (9 + -5))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302853 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: Solve -17 = -3*f + 2*p, -18 = -3*f + p - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/315 or -505\/9?\nAnswer: -2\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - (-146)\/(-30)) + (-58)\/(-15). Suppose 10*i + f - 24 = 0. Suppose -2*k + 0 - 4 = 0, 0 = 3*h + i*k - 296. Is h a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1145560 (base 10) to base 2\nAnswer: 100010111101011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -222352 divided by -2?\nAnswer: 111176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379\/((-1 - (-4 + 7)) + 5)?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43*(-3)\/535995*30?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjcscsaypcspcjc. Give prob of sequence sssj.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) 0.4 (c) 2039 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 3*d**2 - 2*d + 6. Let n(f) = -2*f**3 - 7*f**2 + 4*f - 13. Let z = -5265 - -5270. Calculate z*b(m) + 2*n(m).\nAnswer: m**3 + m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -10. Let b = m + -4. Let d be 5*(12\/(-45))\/b. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2183 - 2183.2. Put 4, -29, 0.4, z in descending order.\nAnswer: 4, 0.4, z, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 7. Let a be j(-8). Let c be (-3 + 2)*(a + -3). Solve -c*y + 4*u + 5 = -15, -5*u - 5 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -1.1 (b) -2\/23 (c) 0.5 (d) 31\/6 (e) 2 (f) -1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3409.454 - 3368.45554. Let x = 41 - g. What is x rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5780 = -105*d + 95*d. Let z = 594 - d. Solve -z = 3*g - 11*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20175?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 958028.8s in milliseconds?\nAnswer: 958028800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 246307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3781 = 13*f + 3824. Let w = f + 835. Round w to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4887 * -0.4\nAnswer: 0.19548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 3 (c) 3\/5 (d) 335 (e) -457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i - 3*i)*((i - 2*i + 0*i)*(i + 14*i + 9*i) + (6 - 1 - 4)*(-2 + 2 - 4)*(-16*i**2 - 11*i**2 + 13*i**2)).\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 1, -6 in decreasing order.\nAnswer: 1, -6, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**7\/210 - 2*d**6\/3 - 145*d**4\/12 + d**2 - 20*d. Find the second derivative of n(i) wrt i.\nAnswer: -12*i**2 - 480*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15611533 (base 7) to base 2.\nAnswer: 101110010000001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11)\/11 + -1 + (0 - 1)*-8861.\nAnswer: 3, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -3501?\nAnswer: -3501.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**2 + 7*d + 25. Is c(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -52, -3 in ascending order.\nAnswer: -52, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1 (b) 23 (c) -69 (d) -1\/9 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 21 = 3*y. Let a = 20 - y. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2924*b + 110081 - 36694 - 36695 - 36695 to o*b + m and give o.\nAnswer: 2924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19284000 rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 299 = -196. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -3*d**4\/16 - d**3\/2 + 9*d**2\/8 + 68. Factor b(w).\nAnswer: -3*w*(w - 1)*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -186 * 0.3\nAnswer: -55.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 984195.\nAnswer: 1\/196839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-308)\/245 + 7\/5.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*p + 10336, -1622 = -2*w - p + 3537. Is 20 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - u - 23 = 0, 0 = 3*x + 5*u + 45 - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.552 and 36.\nAnswer: -19.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2b481 (base 14) to base 8\nAnswer: 322611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 4416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -345155 - 5?\nAnswer: -345163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 8242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 8*u - 9. Let j be d(-9). Suppose 144 = -j*f + 5*f - 2*s, -159 = -5*f - 3*s. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/2 + 9*k**5\/5 - 3*k**4\/4 - 3*k**3 + 3*k**2 + 10. Suppose n(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 19*m - 42720 = 0. Let l = -41 - m. List the prime factors of l.\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1404, 0.5, 2, -1\/3, 1\/3 in descending order.\nAnswer: 1404, 2, 0.5, 1\/3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 12:44 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-16) + (-1)\/2. Which is the fourth smallest value? (a) -1 (b) -1\/2 (c) 1.2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61589\/12 - 5124. What is the common denominator of (-8694)\/248 - (-123 + 88) and h?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 + v**2 - 3*v**2)*(2*v - 3*v + 0*v) + 43*v**3 - 17*v**3 + 79*v**3 to n*v**3 + r*v**2 + c*v + t and give n.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -146 - -146. Solve v = 11*o - 60 + 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*c + 1896 - 20496 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*w = 50, -4*t + 3*w + w = -64. Suppose 5 = t*n - 12*n. Solve -n*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w**(-4)\/w*w)\/((w\/(w**(-14)*w))\/w))\/(w\/w**(-2\/39)*w*w**9))**(28\/9) assuming w is positive.\nAnswer: w**(-27356\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-54) + (-4)\/(-3). What is the third derivative of -10*x**n + 9*x**6 - 69 + 69 wrt x?\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiit. What is prob of sequence it?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3c (base 15) to base 6.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -315, -628, -941, -1254, -1567, -1880?\n\"Answer: -313*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2540*i. Let a(m) = 2*m**2 + 2*m - 10. Give w(a(l)).\nAnswer: 5080*l**2 + 5080*l - 25400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -34\/7*g + 32\/7*g**3 + 27\/7*g**4 + 2\/7*g**5 + 24\/7 - 51\/7*g**2 = 0.\nAnswer: -12, -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 2 + 55 = 2*t, -3*t = 2*v - 127. What are the prime factors of t?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m**2 + 3. Let h(n) be the third derivative of n**5\/4 - 11*n**3\/6 + n**2. Suppose 75*u = 80*u + 30. Calculate u*h(r) - 22*f(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 297916897 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29\/28 + 9\/7. Let d = 270 - 1621\/6. What is the smallest value in 0, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -61. What is the smallest common multiple of 14 + p\/(2\/(-4)) and 74?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 60*z**4 - 141*z**3 - 111*z**2 - 18*z = 0.\nAnswer: -2\/5, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 64837 = 6472 - 39660. List the prime factors of s.\nAnswer: 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -77 to the nearest integer.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3960 and 1111704.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/((-7)\/(-2))*1)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/1 + 0 - (3 + -17). Suppose 23*c - j*c = -306. Which is bigger: c or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 845 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 45 + 21)*(3*w**4 - 4*w**4 - w**4 + (0*w**2 - w**2 + 0*w**2)*(-w + w - w**2)).\nAnswer: 28*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11205557, 11205552, 11205547?\n\"Answer: -5*d + 11205562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142762683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2348 + 2342. Let t(f) be the first derivative of f**2 + 9*f + 4. Determine t(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-8)\/4 + 0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/29 (b) -242 (c) -2 (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13771903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2025533 + -1?\nAnswer: -2025534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 17*w + 1. Does 13 divide b(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6928773 divided by -69\nAnswer: 100417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 - 98. Sort 4, k, -1, 2 in decreasing order.\nAnswer: 4, 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 610613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 70*h - 100. List the prime factors of u(13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, a: 4, g: 5}. What is prob of picking 1 g, 1 a, and 2 f?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10245.\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/7 + 2040*x**4\/7 - 4092*x**3\/7 = 0.\nAnswer: -682, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c - 2*c)*(558*c**2 + 128*c**3 - 558*c**2)*((5 - 1 - 2)*(-5 + 3 + 4) + 3 - 5 + 4).\nAnswer: -3072*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 2001.153819 to one dp.\nAnswer: 2001.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -5*2*(0\/2 - 2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46816 = 24*u - 62*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 652\/2331 - -2\/333. Let m be 1\/((-4)\/13) - -3. Let x = 0.5 + 2.5. What is the closest to i in x, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -4cea79?\nAnswer: -4cea7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -86b88 (base 13) to base 2\nAnswer: -111011011110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2905402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1093669*k**4 + 150510*k wrt k?\nAnswer: 13124028*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/7, -6, -1\/9 in ascending order.\nAnswer: -6, -1\/9, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 416890*a**2 + 21719029904*a + 586717759584.\nAnswer: 2*(a - 104236)**2*(a + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 4*w + w - 2)*(3 + w**3 + w**3 - 4).\nAnswer: -4*w**4 - 4*w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/6, -1\/4, -3\/7, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300322 (base 4) to base 15.\nAnswer: dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11954192 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 927 + -927. What is the hundreds digit of 2 - u - -275 - (-9)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50.82 + -0.82. Let p = -50.03 + m. Which is the closest to -2\/3? (a) -4 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -247 - -251. Suppose 4*c + 3*y = 1367, 3*c = c + x*y + 678. Is 50 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5269.028 centuries in years?\nAnswer: 526902.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-15)\/(-6))\/(2 - 1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 1 w when three letters picked without replacement from xvvvvvcmw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359332 < -1359329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(70))\/sqrt(10) + -3 - (sqrt(70) - (sqrt(70) + -4*sqrt(70)*-2))\/((sqrt(90) + 1*sqrt(90) + sqrt(90))\/sqrt(9)).\nAnswer: 2 + 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**3 - 242*w**2 - 1668*w + 432.\nAnswer: 2*(w - 36)*(w + 6)*(4*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -34. Calculate the common denominator of 35\/18 and -2 + 0 + k - (-24)\/(-80).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - v - 2*v + (2 - 3 + 2)*(-v + v + 3*v) + 17 - 17 + 13*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 4. Let k(q) be the first derivative of -1 - 4 + 4*q**2 - 1 - 3*q**2. Give k(a(c)).\nAnswer: -2*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -876*q**2 - 28911*q + 31. Calculate b(-33).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10485 = u - 3*x, 924*x - 919*x - 30 = 0. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5336 - -5334. Let n(h) = 4*h**2 - h + 4. Let a(j) = j**2 + 1. What is b*n(m) + 7*a(m)?\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 401\/4 - 99. Which is smaller: 0.1 or h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11007 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {x: 3, e: 1, b: 5, p: 7}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4551258 and 1314.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32652 and 17902.\nAnswer: -14750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyswwywiiw. What is prob of sequence iyw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32101, -32103, -32099, -32083, -32049?\nAnswer: -31991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8765 + 18?\nAnswer: -874b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 550462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of 0 + 1\/12*q**4 + 0*q - 1\/60*q**5 + 1\/2*q**3 + 2*q**2. Let z be k(4). What is the second smallest value in -0.5, z, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 64 (c) 36 (d) 33 (e) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or -13?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*u - 113*u - 80*u - 110*u + 525*u - 3*u**3 - 112*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((0 - -2)\/(-102482)). Let o = u - -128241. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 23, 1\/4, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 + 4. Let g = -234 - -7252\/31. Which is the third biggest value? (a) g (b) -0.3 (c) h (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12104.7 + 2.13.\nAnswer: 12106.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 74*j - 1396. Let q be n(38). Calculate the highest common divisor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 353592 and 6364656?\nAnswer: 6364656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -5. Suppose -232*d = -226*d + 162. Let w = d + 30. Solve x*u = w*u + 4*c + 4, -2*c + 8 = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -c. Suppose c = 2*y - y. Suppose y*r - r + 11 = s, 12 = 3*r - 4*s. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 + -12.96. Let p = 14 + i. Let b = p + -1.6. Is b less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118*r**2*w**2 + 2*r**2*w - 14*r*w**2 - 12*w**2 wrt r?\nAnswer: 236*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*u + 6, -4*u - 8 + 5 = -t. Let i = 5 + 0. Sort -3, -21, t, i.\nAnswer: -21, -3, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101011001101110 (base 2) in base 6?\nAnswer: -250234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1855, -2081, -2321, -2575, -2843?\n\"Answer: -7*i**2 - 205*i - 1643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3598387207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 3:45 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 7*d**2 + 5*d - 19. Let s be 1\/((-3)\/15) + -3. Let k be c(s). Suppose -2*o + 3*o + 22 = 2*x, -k*o - 11 = -x. Solve h - 6 = -x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -284*p - 402*p - 56*p + 158*p + (1 - 6 + 3)*(-2*p + 4*p + 2*p).\nAnswer: -592*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**3 - 71*o**2 - 1208*o - 3092. Let p(g) = -5*g**3 + 141*g**2 + 2418*g + 6179. Let a(j) = 4*p(j) + 7*r(j). Solve a(u) = 0.\nAnswer: -32, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 225 = 4*k - 5*j, 140 = 3*k - 4*j. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*k - 61848. Let r = 164855\/16 - k. What is the common denominator of r and ((-2)\/6)\/(28\/486)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -892*k. Let h(q) = -5220*q + 3. Give h(v(g)).\nAnswer: 4656240*g + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-28)\/((-84)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(((n*n**8)\/n)\/n)*n)*n)\/n)**22 assuming n is positive.\nAnswer: n**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, y: 3, j: 4, e: 2, i: 1, d: 6}. What is prob of sequence hyy?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdyhvde. What is prob of sequence ey?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33359f (base 16) to base 8\nAnswer: -14632637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 886122 + -4?\nAnswer: 886118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*z - 38 = -g, -15 = 5*z. Suppose -2744 = u - g*u. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18144?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 32, 56, 84?\n\"Answer: 2*b**2 + 14*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7 + 3 = 0. Let t be (6\/(-4))\/((-2)\/4). Solve c*i - 3\/2*i**t - 2*i**2 + i**4 + 1\/2*i**5 + 0 = 0 for i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**4\/4 - 2*k**3\/3 + k**2\/2 - 4*k + 18. Give w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/777 and -185\/517062.\nAnswer: 19131294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100000111110 - -110101?\nAnswer: -10010100000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -9) + (48 - ((6 - 9) + -2 - -4)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 8 = 0. Suppose y*h + 36 - 248 = -4*u, -3*h = u - 49. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 - 3001132?\nAnswer: -3000322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54523 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/9 + 2\/(-6) + 376386 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23409*c**2 - c - 17863 wrt c.\nAnswer: 46818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/300 and 89\/35568660?\nAnswer: 177843300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, -3, 63, 3, 11 in descending order.\nAnswer: 63, 11, 3, 2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2575 and 172.469.\nAnswer: 44.4107675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6617648000 to the nearest 1000000.\nAnswer: -6618000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/16)\/1)\/(426\/(-284)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (13 - 12) - (29 + -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 5*q**2 + 4*q. Let i(h) = h + 274. Let r be i(-27). Let d(a) = -247 + r + 2*a. Determine d(c(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 800135, 1600264, 2400393, 3200522, 4000651, 4800780?\n\"Answer: 800129*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 1)\/((-6)\/(-366)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2\/7 + 57*u\/7 + 259920\/7 = 0.\nAnswer: -285, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001987163 to six decimal places.\nAnswer: -0.000199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 9:04 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 1. Let f(p) = -2*p**2 + 4. Let d be 10\/5 - (2 + -1). Let c(m) = d*f(m) - 4*q(m). Let u(t) = -4*t**2. Calculate u(c(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28 - 2) + -19 - (16 + 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (943\/3772)\/(11\/(-4))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3002 * 0.03\nAnswer: -90.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107522, -107651, -107768, -107867, -107942, -107987?\nAnswer: -107996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from stltulttssslttl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1982473621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560 + -98905.008.\nAnswer: -98345.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1693a0808 - -4?\nAnswer: 1693a0811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -2\/3*w**3 + 0 + 1\/8*w**4 + 0*w + 8*w**2 + 1\/60*w**5. Suppose 4*y + 18 + 2 = 0. Calculate g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -57.9. What is the nearest to 0 in 0.2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 - 20 + 358 = -14*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 374, 740, 1106, 1472?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-17)\/((-935)\/305). Sort 2, 3, j, 4.8 in ascending order.\nAnswer: j, 2, 3, 4.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvvx when four letters picked without replacement from xvmxvvvxvd.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 + 4*a + 1. Let y be m(-1). Let l = -0.33 - -0.19. Let d = l + 0.13. Put y, 2\/9, d in ascending order.\nAnswer: y, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {f: 2, n: 1, p: 4, r: 7}?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30312020 (base 4) in base 6?\nAnswer: 1043332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -9 - 11*v + 3*v + 29 - 8 + v**2. Let q be j(4). Let y(i) = 14*i**2 + 2*i. Does 14 divide y(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308687 or 308688?\nAnswer: 308688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 8 - ((-1 + -6 - -4) + 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 + 157845*j**2\/2 + 12944971*j\/4 = 0. What is j?\nAnswer: -41, 0, 315731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 - 11 = 0. Suppose 5*p = -2*u + 51, u - 53 = -7*p + c*p. Solve -p + 36 = 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 36. Calculate r(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/((-2325)\/(-4123))*4\/28?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 + 2*t. Let x(o) = -97768*o. Calculate s(x(j)).\nAnswer: 57351490944*j**2 - 195536*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r. Let p(o) = -34*o - 270104. Give i(p(d)).\nAnswer: -136*d - 1080416","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -4*l + 8, -4*l = -8*l - n + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**3 - 116*q**2 = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 35972 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 4*w. Let k = -3 - -8. Let p be i(k). Let o be 4\/(-8)*2*p. Is 4 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**5 - 1304*h**4 - 140*h**2 + h - 66 wrt h?\nAnswer: 60*h**2 - 31296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 385888 and 3100?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 2*c - 1609*c**2 + 6 - 2 + 5.\nAnswer: -1609*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -8182.946574525.\nAnswer: -8178.946574525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:05 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14584 or 14157?\nAnswer: 14157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a - w + 6, 0 = a - 2*w - 9. Suppose 2*x = 31 - a. Suppose h = 3*s - 33, 4*h + h + x = s. What is the smallest common multiple of 6 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193646406229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-568)\/(-28) + 6\/(-21). Solve 4*j = -j + o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101011011110 (base 2) to base 8.\nAnswer: -5336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 2*m + 14, 0 = 2*z - 2*m. Let y(g) = -8*g**z - 14*g**2 + 3*g**2 + 40*g**2. Let c(s) = -2*s. Calculate c(y(i)).\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.96 take away 30?\nAnswer: -22.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741083408?\nAnswer: 2, 13, 3562901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11514*i**3 + 6*i**2 + 78*i + 1 wrt i.\nAnswer: 69084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44860 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(704) - -5*(sqrt(704) + 1) - (sqrt(704) - ((sqrt(704) - sqrt(704)*-1) + 4) - sqrt(704)))**2.\nAnswer: 1152*sqrt(11) + 45142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 7. Let u be 3\/12 - 222\/g. Let n(s) = -10*s + 7 - 13*s + 40*s - 16*s. Give n(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103602832.4678 and 0.4.\nAnswer: -103602832.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 419, 345, 173, -145, -657, -1411, -2455?\n\"Answer: -8*u**3 - u**2 - 15*u + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - (-804)\/162)\/((-2)\/12). Put q, -5, 29 in ascending order.\nAnswer: -5, q, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 5 - 5)*(-160*d + 81*d + 1117*d**3 + 79*d).\nAnswer: -2234*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 4*r**6\/5 + r**5\/5 - 13*r**4\/12 - 2*r**2 + 271*r. What is the third derivative of u(n) wrt n?\nAnswer: 576*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 59 = -799. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*o + 19 - 1, -16 = -4*o. Suppose -q = 5*w + 2, 3*w - 8 = 3*q - u. Let z be ((-144)\/10)\/((w - 1) + -1). Is 7 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 - 4*t + 3. Let p be (4\/(-3))\/((-2)\/3). Let m be h(p). Let w = m - -47. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 19*q**2 - 4*q**2 - 10*q**2. Let l(n) = -n + 1. Let c(s) = -s**2 + s - 1. Let b(d) = 3*c(d) + 3*l(d). Determine i(b(y)).\nAnswer: 45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y - 9. Calculate the remainder when 28 is divided by a(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 4, t: 2}. Give prob of sequence hw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12 + 3486\/(-288))\/((-55)\/(-33))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-21) - 67\/7. Let u = b + 14. Suppose 0 = -u*j - 2*t + 192, j = -2*j - t + 116. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 + 0 + 0 + 3*i**2.\nAnswer: 17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/7*m**2 + 2*m**3 - 12\/7 - 34\/7*m.\nAnswer: 2*(m - 1)*(m + 3)*(7*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4 (b) 0.1 (c) 6\/5 (d) 0.022 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/5 + 9*h**3\/5 - 6*h**2\/5 - 36*h\/5 - 24\/5.\nAnswer: 3*(h - 2)*(h + 1)*(h + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28 - 2?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*o - 23, -f = 3*o - 13 + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3858\/10 - (-111)\/555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - (sqrt(2) + 1 + sqrt(2))**2)*-5 + -6*(sqrt(200) + 0).\nAnswer: -45*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001253 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.3 - 30.5. Sort a, -3, 0.06 in descending order.\nAnswer: a, 0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.154601869 to 5 dps.\nAnswer: 0.1546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j + 2*z - 8, -3*j = -3*z - 6. Suppose 2*c = 179 + 89. Let i(r) = -c*r**3 - 4*r**2 + 3*r**j + r + 4 + 135*r**3. Determine i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19603\/2 + -431213\/44. Calculate the common denominator of 89\/66 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*t - 27, 5*x + 3*t + 2*t - 50 = 0. Suppose -x*d = -7*d - 1168. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*d = 4, -4*d = -3*c - 1 - 7. Let i be 2 - (-24)\/(c - 6\/8). Let s be (-10)\/i*(-14 - (-2 + 0)). Sort 2, s, -1 in descending order.\nAnswer: 2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3 and -0.18.\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.620035 - 0.62. Round r to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) -0.5 (c) 11 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*l = -216. Does 16 divide (5\/(-2))\/((-6)\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1403*u**3 + 3 + 23*u**2 + 8*u**2 - 2 - 969*u**3 - 33*u**2 - 8*u wrt u?\nAnswer: -14232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 136472\/77984*3\/((-945)\/6).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 10 - 26, 0 = -2*d - 5*o + 1730. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20776\/40 - (-9)\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/2 - 10696\/42. Let z be (238\/28)\/(296\/i) - 3. Let f = z - 3\/37. Find the common denominator of -103\/28 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018677918 rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/2 - -30) + -1. Let p = b - 14. Let j = 346 + -211. What is the highest common factor of p and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/(-66)*1*(-3)\/(-6). Let w(s) be the first derivative of -5\/11*s**2 + x*s**3 - 2 + 2\/11*s - 3\/22*s**4. Let w(r) = 0. Calculate r.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2884007\/48 + 60086. Calculate the common denominator of -65\/48 and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 38*h**2\/5.\nAnswer: h**2*(h - 38)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022 - 2?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102932.\nAnswer: 2, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 430471 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*j + 40*j**3 - 59*j**3 + 243*j - 42*j**3.\nAnswer: -61*j**3 + 127*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 99 - 29. What is the highest common divisor of 4 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.061 and 0.122?\nAnswer: -0.007442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-5) + -4 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s + f - 8, 4*f + 13 = -3*s. Let k be (-3)\/2 - s\/3. Let j(i) = i**3 - 7*i**2 - i + 5. Let m be j(7). Are k and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15, 23, 29, 39, 59, 95?\n\"Answer: k**3 - 7*k**2 + 22*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*d - 11*d**2 + 15*d**2 + 38*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32*-4*(-3)\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/54 + 2*r**3\/27 + r**2\/9 - r + 8. Factor d(i).\nAnswer: 2*(i + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1600 + 1625. Solve 367*z + t = 372*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**4 + 3*m**2 - 3*m**2 + (2*m**4 + m**4 - 5*m**4)*(-1 + 1 + 2) + 4*m**4 - 4*m**2 + 4*m**2.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 662869*k**2. Let i(p) = -2*p**2 - 98. Determine i(s(h)).\nAnswer: -878790622322*h**4 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1625776, -3251374, -4876972?\n\"Answer: -1625598*j - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 1188*n - 1191*n + 31, -41 = 2*t + n for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369006 divided by -5591.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + q - 16. Let j = -564 + 572. What is s(j)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80) - sqrt(80))*1)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 1197*d**2 + 1325*d**2 - 5 to h*d**2 + f + g*d and give h.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 9*d**2 + 9*d + 5. Let z be k(10). Let m(n) = n**3 + 4*n**2 - 5*n + 5. Let a be m(z). Suppose a*q - 35 + 10 = 0. Solve 5*c + 0*c = -q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x + 4. Let n(k) = 14*k - 12. Let z(q) = 2*n(q) + 7*t(q). Let m be z(6). Let p = m + 70. Calculate the remainder when p is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - d - 5, -4*f + 843*d - 844*d = 17 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 + (66 - 66)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201 - 11203?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-21)\/14)*0. Let p(f) = -2*f + 5. Let g be (8\/(-6))\/((-1)\/3). Let j be p(g). Put 5, j, w in descending order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4809\/687)\/((-14)\/54).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 3 (b) -1 (c) -0.08 (d) -1\/5 (e) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 635796 and 1743.\nAnswer: 52771068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/603 and -11\/1755?\nAnswer: 117585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000073347744 to 6 dps.\nAnswer: 0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 4*a + 3 + (-a + a + 2*a)*(-6 + 0 + 2).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-150)\/(-45))\/((-4)\/(-6)). Let y = 7 + -26. Let d = -17 - y. Solve -10 = 5*k + d*c, -3*k - 25 = -v*k + 5*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/13, 3, 4, 2\/271?\nAnswer: 2\/271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 84.\nAnswer: 13\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*i**2 + 0*i**2 + 4*i**2)*(-3 + 5 + 2)*(-2*i + 2*i - 2*i) + 2*i**3 + 10 - 10.\nAnswer: 74*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 41 = -k + u, 19 = -2*k + u. Let h = k - -17. Let c(i) = 2*i**3 - 117*i**2 - 568*i + 65. Let v be c(63). Solve v*t = h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12286 + -8866. Round h to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -336 - -1037\/3. Let d = 6 - 18. Calculate the common denominator of (-31)\/(-4)*d\/9 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - b54?\nAnswer: -b4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 - -366. Suppose -5*m - 21 = -o. What are the prime factors of m?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/152 - -279\/3800. Let s = -52 - -73. Let t be (-12)\/(-54) - 5\/((-135)\/s). Which is bigger: t or d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 k, and 1 x when four letters picked without replacement from xxxxxxxxjjjxxxkx.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 25*p + 5*t + 35 = 0, 3*p + 5*t - 10 = 0. What is the nearest to -1 in 43, -4\/9, p, 2\/5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/((-39)\/429*33).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/107802 and -149\/50523204.\nAnswer: 151569612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/3*486\/108?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - x = 1, 0 = 2*x + 8 + 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5084 - 50903\/10. Let k be -2 + 99 + 0 + 0. What is the common denominator of f and (k\/5)\/(6\/(-5))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + q + 7. Let k = -1 + 5. Suppose -k*j - j = -30. Let w be j\/27 - (-2)\/(-9). What is c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -421 - 41. Calculate the highest common factor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 6*t**2 - 3. Let a be u(-6). Is 19 a factor of (-1192)\/(-16) - a\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 23 - (29 + -14 - (1 - -22)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-132)\/(-55))\/(4\/70)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, b: 1, l: 2, o: 8}. Give prob of picking 1 o, 1 j, and 1 b.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*c - 9188, 0 = 8*l + 4*c - 9*c - 36817. Calculate the highest common factor of 63 and l.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15016, -30033, -45050?\nAnswer: -60067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rke when three letters picked without replacement from {k: 2, d: 3, n: 3, e: 1, r: 1, v: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102\/41, -1, -9, -2\/7, 1.\nAnswer: -9, -1, -2\/7, 1, 102\/41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1418 + -1418.4952. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(84)*-1)\/sqrt(7))\/(sqrt(48)\/(sqrt(120)\/(2*sqrt(10))))*-3.\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -5*h - h**2 + 93 - 2*h + 0*h + 21 - 14. Calculate the remainder when 151 is divided by j(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.2, -57\/2, -12, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -22*z + 52. Suppose 4*p - 13 = -c, -4*c = 5*p - z*c - 14. Solve -q = -8 + p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -5, -1, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 5*o**3\/6 + 41*o. Let d(u) = -7*u**2 - 5*u + 5. Let h(s) = -3*s**2 - 2*s + 2. Let n(p) = 2*d(p) - 5*h(p). Determine n(g(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6500259 to 2 dps.\nAnswer: 2.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - 2042\/(-22806). Let l = m + 7\/724. Let q = -2501\/126 + l. What is the common denominator of 37\/16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 40*u**2 - 124*u + 28. Determine r(4).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -2. Is (-141)\/(-9)*h + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14552632659\/139 - 104696171. Let h = -972 - m. Is h != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10 and 77591231911.\nAnswer: 77591231901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 4284.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-1)\/1 - 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 329.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*o + 134*o - 350 = 0. Solve -l - 49 = -o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 36 = 4*v. Let k = -10 - v. What is the units digit of (-19)\/((k - -2)\/(-1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 48.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6044341 a multiple of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/10)*v**(1\/3)*(v\/((v\/((v\/((v\/v**0)\/v))\/v))\/v)*v)\/(v*v\/v**8))**(1\/20))**(6\/31) assuming v is positive.\nAnswer: v**(253\/3100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30897414 to the nearest integer?\nAnswer: 5559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - s**2 + 2*s**2)*(-84*s - 5*s**3 + 84*s) - s**4 + s**4 - s**5.\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150084 and 142164?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3 + 5 = 0. Suppose 0 = f + 2*h - 3*h - 2, 5*h - x = 3*f. Let l(w) = 3*w**2 - w**2 - f*w**2. Let a(k) = 2*k. Calculate a(l(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 5*f**2 - 5*f - 1. Let m be t(4). Let i(r) be the first derivative of -r**2 + r + 364405. Give i(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -6 (b) 125 (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = 0. Suppose -3*a - 3*b + 3 = k, 13 = 4*a + b - 6. Calculate the highest common divisor of 3 and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -16*k - 6 - 3*k - 16*k + 6. Let j(g) = 2*g**2. Calculate h(j(l)).\nAnswer: -70*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 21. Let o be v(-10). Let s = -64 - o. Calculate the greatest common divisor of s and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452752 divided by 226376?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*a - 24 = 0, -p + 0*p = -a. Find the second derivative of 6*f - 3*f + 6*f**p - 9*f**4 wrt f.\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 3*k**2 - 4*k + 7. Let u = -67 + 71. Let b be s(u). What is the greatest common divisor of 56 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oomommmmomojjoom. What is prob of sequence omj?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 357*y. Let m(b) be the first derivative of -2*b**3\/3 - 641. What is m(d(f))?\nAnswer: -254898*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 13*d**2 - 32*d + 22. What is j(15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 + 2*q. Calculate the remainder when v(9) is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2966 and 7.\nAnswer: 20762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = j + 2*u, -6*u + 12 = -2*u. Let l = 168 - j. Suppose -o - o = -l. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96491616 a multiple of 4075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/5)*d)\/(d\/(d*(d\/d**(-3\/10)*d)\/d)))**(-7)\/(((d*d**(-4)*d)\/d*d)\/d*d**(1\/9)*(d\/d**(-1))**(1\/8)) assuming d is positive.\nAnswer: d**(-283\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 29520005 divided by -5\nAnswer: -5904001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/8 in -3, 2\/9, -1\/6, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -70127900 rounded to the nearest 1000000?\nAnswer: -70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33911, 33916, 33921, 33926, 33931?\nAnswer: 33936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 689947368*q**3 - 872*q**2 + 9447 wrt q.\nAnswer: 4139684208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14)*-3*(-1774864)\/(-16536).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 6 = a. Let x be (-4)\/(a\/(-6)*-2). Let k be (-2)\/4 + 10\/x. Let n(m) = -m**3 + 4*m**2 - 2*m + 3. What is n(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -4. What is the fourth smallest value in 2, 3, k, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/9)*p**4*p*(p\/p**(-2\/13))\/(p\/p**(-7)) assuming p is positive.\nAnswer: p**(-190\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-720)\/(-25))\/(3*(-1)\/(-15)). Let l be (10 + -2)\/(4\/2). Let p be l\/(-18) + (-164)\/(-9). Calculate the greatest common factor of d and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -42*h**2. Let s(r) = -21*r - 5. What is f(s(t))?\nAnswer: -18522*t**2 - 8820*t - 1050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1812 is divided by 241?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -318*f**3 + 495*f**4 + 2 + 1481*f**4 + 170*f**3 + 148*f**3 + 2*f to the form a*f + q + v*f**2 + w*f**3 + g*f**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*s**3 + 260*s**2 - 260*s**2)*(0*s + 0*s + s) + 4 - 2*s**4 + 0 - 1 as v + i*s**2 + y*s**3 + x*s**4 + z*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (459\/6195 - (-47 - 51057\/(-1085)))\/((-4)\/(-8))\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5277 + 224?\nAnswer: -5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*h + 101*h - 28. Let d(q) = q**3 + 7*q**2 - 2*q + 4. Calculate d(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**3 - 664 + 664 + 0*u + 0*u + u**3 + (-45 - 15*u + 45)*(-5*u**2 + 3*u**2 + 3*u**2) as l*u + r + p*u**3 + j*u**2 and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62835726*-0.4.\nAnswer: 25134290.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 395811616 to the power of 1\/3, to the nearest integer?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-2292)*(-33)\/(-22)*(36\/3)\/(-6)?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1922270928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 224626 = 5*u, 0 = -4*u + 20*o - 23*o + 179645. What is the hundreds digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.77727 + 6236?\nAnswer: 6236.77727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3223 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0 - 19*u**2 - 25\/24*u**4 + 0*u**3 + 0*u. Let o(a) = 3*a. Let z(g) = -g. Let y(j) = -6*o(j) - 17*z(j). What is k(y(n))?\nAnswer: 25*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5424 divided by -226\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 19 - 35 = 0. Solve -k*s - 16 = -0*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*i - 151*i - 90*i - 35*i.\nAnswer: -192*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-11 + 12 - ((0 - -1) + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*i - 8745, 3*k + 3436 = 2*i - 55. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 8:22 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 - 4867 = 328*v - 306 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 12. Let v = b + 40. Let f = v + -30.9961. What is f rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.87 - 0.13. Let n = 0 - 0.3. Let p = 1.3 + n. Which is the smallest value? (a) -4 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*1\/(-1)*(-11)\/(88\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-84)\/22*(-4)\/12. Suppose -3*s + 3*c = 12, 2*c + 1 = -2*s + s. Let p be s\/8 - 33\/(-24). Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 30 = n. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 86374836 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-396))\/(125\/(-500)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence appa when four letters picked without replacement from {x: 1, p: 2, a: 7}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2. Let w be f(4). Suppose -5*h = -m + 52, -3*m + h + 86 = -w*h. Let q = 48 - m. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0821911 millilitres in litres?\nAnswer: 0.0000821911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -686?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11042 - -4311?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 40*(-2)\/16*-676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0079300493 rounded to 4 decimal places?\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55294 is divided by 27604?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 2*x - 2*x - x**3 + 3*x. Let b(i) = 5*i**3 - i**2 + 6*i + 3. Let a(m) = -b(m) - 6*q(m). Let o be a(5). Put o, -1, 4 in ascending order.\nAnswer: o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-11)\/4 + 2). Suppose -3*m + 0*m + w = 0. Let p(g) = g**3. Let u be p(m). Solve -h + u = -3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-n**4 - 4*n**4 + 2*n**4)*(-2 + 0 + 3 + (-3 + 2 + 6)*(-16 + 17 + 6) - 1 - 4 + 4) to the form h*n**2 + o*n**4 + v*n + x*n**3 + i and give o.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3120*x**3 - 2*x**2 + 2165 wrt x?\nAnswer: -9360*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/37? (a) 111 (b) 22 (c) -0.4 (d) 0.2 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 68\/89, -18, 3\/5?\nAnswer: 68\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 12*k + k = 130 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 401*n\/3 - 160801\/6.\nAnswer: -(n + 401)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*t, 0 = -4*h + 3*t + 3 + 1. Suppose -y - h*o + 53 = 0, 73 = -4*y - 3*o + 259. Suppose -2*k - x + 105 = 0, -k - 2*x + 0*x = -y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7945, 15971, 24075, 32257?\n\"Answer: 39*t**2 + 7909*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/(-60) - (-28)\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 8\/(-10) - -1. Let r = 0.2 - -5.8. Let n = r - 5.8. Which is the closest to 1? (a) -0.3 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 2.7. Let x = m + -2. Which is the nearest to 0.1? (a) 5\/4 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13718 and 20729.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47314548.\nAnswer: 2, 3, 587, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 71*f + 520 = -74*f, 0 = 4*l - 4*f + 1040. Which is the second smallest value? (a) l (b) -4 (c) 1\/6 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((-10)\/(-140)*6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 8:59 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 681173362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -78413.\nAnswer: 3920.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/49 or 0.4?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 42 = -5*m. Suppose 0 = -11*l + m*l. Solve 2*d + 2*d = l for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241920?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) - 34\/(-8). Suppose x*g = 46 + 46. Suppose 65 = 3*s + g. What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -163926 (b) -0.4 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b + 20. Let c be f(-10). Let r = -28 + c. Let s(v) = -8 + v**2 - 3*v + 12 - r*v - 9. Determine s(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - -4 - (-19 + 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2bd757 (base 14) in base 12?\nAnswer: 620615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56856 + 176315. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 15*r + 16)*(0 + 5 - 3)*(-r + 0*r + 3*r).\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -90\/11, -6, 29\/9 in decreasing order.\nAnswer: 29\/9, -6, -90\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110333 (base 4) in base 16?\nAnswer: -453f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q - 10. Let m = -815 - -814. What is the nearest to m in q, 2, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -34*x. Let o(k) be the first derivative of k**4\/12 + 19*k**2\/2 - 5. Let m(t) be the second derivative of o(t). Determine z(m(q)).\nAnswer: -68*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -283, -430, -597, -790?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 18*f**2 - 3068*f - 11133. Calculate a(174).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2080231, 2080216, 2080187, 2080138, 2080063, 2079956?\nAnswer: 2079811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110258, -220579, -330870, -441131, -551362?\n\"Answer: 15*c**2 - 110366*c + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243) + 1*(-1*sqrt(243) - sqrt(243) - sqrt(243)) - (-4 + -5*(sqrt(243)*3 - sqrt(243))))**2.\nAnswer: 720*sqrt(3) + 15577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2046766 * 290\nAnswer: 593562140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -17*h**2 + 2*h + 2. Give v(-2).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2353 (base 7) to base 3.\nAnswer: 1012021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18839 - 3503. What are the prime factors of z?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 176 = 11*a. Let o be 869\/a*(-86)\/(-4). Let r = -430 + o. What is the common denominator of -10\/11 and r?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 20340035?\nAnswer: -20340025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4 + 19*j**3\/4 - 23*j**2\/4.\nAnswer: j**2*(j - 1)*(4*j + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u + 0*u)*(-u**2 + 4*u**2 - 2*u**2) + u - u - 2*u**3 - 3*u**3 + 3*u**3 - 3*u**3 + 3*u**3 - 3*u**3 - 2*u**3 - 43 + 43 + 4*u**3 - 3*u**2.\nAnswer: -2*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205*(1*(-9)\/(-60))\/((-759)\/1012)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 944478 and 145494.\nAnswer: 55724202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/3 + 4*p**3\/3 + 2*p**2 + 4*p\/3 + 1\/3.\nAnswer: (p + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1572)\/(-38514) - (-635)\/49.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 490, 3, -1, 60, -6 in descending order.\nAnswer: 490, 60, 5, 3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 3768 = -4*y, 0 = 7*y - 12*y - 2*d + 4743. List the prime factors of y.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.996 - 0.004. Let j = 167374 + -167335.9915. Let n = d + j. Round n to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-4)\/(-33)*(170\/45 + (-73006)\/6228).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(-2\/3)*z)\/z)**(-48)*z**(-6)*z*z*z\/((((z*(z**(1\/7)\/z)\/z*z)\/z)\/z*z)\/z))**40)**(-43) assuming z is positive.\nAnswer: z**(784320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(6\/(-2))*(132\/11)\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/267 and -11\/2066661.\nAnswer: 183932829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2100715*p**3*s + 12*p**2*s + p**2 - 23*p + s - 95 wrt p.\nAnswer: 12604290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265131*a**3 + 35*a - 50655489 wrt a?\nAnswer: 795393*a**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.43933 to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**2 + 84*a + 156 = 0.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6057205241?\nAnswer: 1483, 4084427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.9999933 + -14. Round g to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.56 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*g + 27 = 7*f - 6*f - 51*g, -5 = -5*f + g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22. Let t(o) = -2*o + 13. Let g be t(m). Suppose -12*v - 19 = -g*v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -728\/5 (b) 0 (c) 34 (d) 1 (e) 1\/3 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 224*w - 8647. Determine d(-158).\nAnswer: 1781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1088 - -1105. Let n be (-8836)\/61523 - (-2)\/v. Suppose 0 = 5*g + 5. Does g = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e + 3867073?\nAnswer: 3867082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q - 5\/24*q**4 + 0 + 0*q**3 - 11*q**2. Let i(g) = g**2. Determine h(i(u)).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 9:54 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.51 - 66. Let w = -71.51 + y. Let f = w - -71.00187. Round f to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -2 - 4 - -2) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a millennium in decades?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*1 + sqrt(11) - (sqrt(110) + sqrt(110) + -3*sqrt(110))\/sqrt(10) - (sqrt(539) + 3 + sqrt(539) + -2).\nAnswer: -8*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -796*s + 778*s + 2*s**3 - s**3.\nAnswer: s**3 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -9 - -10) + 0 + -11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 328*t. Let k(y) = 11*y**2 + 13*y + 20. Calculate o(k(p)).\nAnswer: 3608*p**2 + 4264*p + 6560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*i - 12180 = -66*i + 376*i for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-161)\/((-31878)\/(-1485))*2\/50.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 + -558\/5. Let f = 4 + -3. Put -0.2, f, k in ascending order.\nAnswer: k, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 342*d**3 + 25*d**2 - 3345*d + 7. Let j(p) = -5*p**3 + 5*p**2 + 1. Let g(m) = -5*j(m) + n(m). What is the second derivative of g(f) wrt f?\nAnswer: 2202*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.4 - -52.6. Let d = g - 67.64. What is d rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2176013424 to the nearest one hundred thousand.\nAnswer: 2176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9759, -9777, -9835, -9939, -10095, -10309?\n\"Answer: -u**3 - 14*u**2 + 31*u - 9775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -259169815213 take away -0.02?\nAnswer: -259169815212.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8066.735ng in tonnes?\nAnswer: 0.000000000008066735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-186)\/(-380) + 1\/(-2). Suppose 3*n = -23*o + 22*o + 8, 10 = 5*o + 5*n. Is o not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = -d - 3, 0 = m - 1. Let s be ((-4 - d) + -3)*-1. Let x(f) = 7*f**2 + 2*f + 1. Let w be x(s). Solve -2*o = o - w for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*z - 155 + 5, 2*z + 3*w - 152 = 0. Suppose -71*m + z*m = -150. Which is the nearest to 1\/4? (a) 2\/23 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -60 (base 7) to base 12.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, -2\/5, 2, -2\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 9, i: 6, z: 1, k: 1, y: 1, w: 2}. Give prob of sequence wwpp.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9121, 18236, 27325, 36376, 45377, 54316, 63181?\nAnswer: 71960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 - 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-8) + 24\/96. Suppose 5*x = 3*x - 4*m + 16, u = 2*x - 3*m. Solve x = -4*l - 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16345 - -16328 - (-3 + 1 - (2 - -152))?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - 0) + 9 + 3900 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -29 + (12 + -10 + 1 - (-7 + 11)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 5, s: 12}. Give prob of picking 2 z and 1 s.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 182327, 364656, 546983, 729308, 911631?\n\"Answer: -a**2 + 182332*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1 + 1 + 3*t. Let f(c) = -4*c**2 - 9*c**2 - c**2 + 3*c**2. Determine f(x(y)).\nAnswer: -99*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -0.063787815339\nAnswer: -0.363787815339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 32784*z - 2 - 5322*z - 4325*z in the form k + r*z and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 4. Let s be b(-2). Suppose -3*p = -t - 7 - 8, 13 = s*p + t. Suppose 2*f = -0*w - 2*w + 10, w = -p*f + 20. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -6.\nAnswer: -35\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4 - 24 = 0. Suppose n + 3 = 8. Suppose -5*b + 21 = 3*l, -o*l = n - 13. Solve -b*c + 15 = a, 5*a - 2*c - 2*c = -1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1. Let v(h) = 2*h + 2. Let r(u) = 8*j(u) + v(u). What is the remainder when ((-160)\/70)\/(6\/(-21)) is divided by r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u - 3*u)*(3 - u - 3) + 0*u**2 + u**2 + 0*u**2 - 8*u - 25 + 3*u**2 + 25 to j*u + t + q*u**2 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (139\/(120096\/180))\/(5\/(-124)) and 7\/30*(-94)\/(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, 1\/5, -0.01, -67, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-26)\/22 - 2*-1 and 49\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 485, 518, 553, 590, 629, 670?\n\"Answer: u**2 + 30*u + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 3. Let m(l) = -2*l**2 - 3*l. Suppose 0 = -4*a - 3*y - 29 + 8, 3*y + 24 = -5*a. Let w be m(a). Is 12 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5887832 is divided by 1177555?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, v: 5, r: 1, q: 1, n: 6, i: 3}. What is prob of sequence fvqv?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -29, 0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 541563815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12e9e (base 16) in base 10?\nAnswer: 77470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*k - 122*k + 363 + 3762. Let q(u) be the second derivative of 0 - 1\/3*u**3 + 1\/2*u**2 + k*u. Calculate q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 23 (b) -10 (c) -2\/347\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/19 or -3\/4486?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 44. Calculate the remainder when 4696\/120 - 0 - (-4)\/(-30) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*(v**(-4\/11)*v)\/v)*v*v*v\/(v\/v**(5\/4))*(v**(4\/5))**14)**28 assuming v is positive.\nAnswer: v**(24353\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*o + 25916 = 84*o. Suppose 2*b + o - 3076 = 0. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-216.\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 6. Let j(m) = -5 + 67*m**2 + 63*m**2 - 129*m**2. Determine 4*j(b) - 3*t(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4))**(-19)*(a**(-8)\/a)\/(a\/(a*a**(-3))) assuming a is positive.\nAnswer: a**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7325665\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/11))**43\/(p**(-6))**(-2\/23))**(3\/14) assuming p is positive.\nAnswer: p**(2571\/3542)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*s + 2. Suppose -23735 = 19*t - 23792. Solve s - t = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-1)\/10)*8\/16. Suppose -i - 2*q = 2*i - 30, 0 = 5*i + b*q - 50. Factor -i*m**4 - 5*m**4 - 5*m**2 - 36*m**3 - 9*m**2 + 2*m**2.\nAnswer: -3*m**2*(m + 2)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46.1 + 46. What is the closest to 0.1 in -1\/9, -0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnkdcnnpscn. Give prob of sequence nd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 - 10135*s + 1360532. What is a(138)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -482 - 9877*b**2 + 3*b + 482 - 3*b as n + w*b + y*b**2 and give y.\nAnswer: -9877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 + 195*d**2 + 564*d + 372.\nAnswer: 3*(d + 1)*(d + 2)*(d + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4081845239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - -924. Let z = i - 573. Let l = -502.00421 + z. What is l rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*b + 4*b - 6*b)*(2*b**3 - 2*b**3 + 2*b**3) + (-892*b**2 - 1455394 + 1455394)*(-2*b + 2*b + b**2) as h*b**2 + l*b**3 + o*b + i + s*b**4 and give s.\nAnswer: -888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57026*c - 2*c**2 - 57028*c - 2*c**4 + 4 - 3*c**4 to u*c + h + j*c**4 + m*c**2 + z*c**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 42 = -46. What is the remainder when 1206\/t - 6\/(-33) is divided by (0 + -1)*(-19 - 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 141, 89?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by (-166)\/(-18) + (20\/(-9) - -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 819810516.049?\nAnswer: -819810515.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**3\/6 + 41*o**2\/6 + 220*o\/3 + 200\/3 = 0.\nAnswer: -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let y(m) = -2*m**2 - 5*m - 3. Let v(q) = -4*o(q) - y(q). Let j(x) be the first derivative of v(x). Differentiate j(n) with respect to n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/r**3)\/(r**(2\/7))**(24\/11) assuming r is positive.\nAnswer: r**(-257\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*v**2 - 50 + 50)*(3*v**3 + 82*v**3 + 20*v**3).\nAnswer: 3465*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/11? (a) 252870 (b) -4\/5 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - -366?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 36756 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in 3, 0, -1\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 7*g**2 + 15*g - 27. Let j(h) = -15*h - 234. Let b be j(-15). Let k be q(b). Solve -2*m + 5*y + 1 = 16, k = 2*m + 4*y + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(c**3 + 2*c**4 - c**3)*(-9193 + 17473 - 9128).\nAnswer: 3392*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11970 divided by -307.\nAnswer: 11970\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 197128.431s?\nAnswer: 2.2815790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29695882*s**3 - 97380*s**2 - 5*s - 1 wrt s.\nAnswer: -178175292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 57, 1, -4, -2 in increasing order.\nAnswer: -4, -2, 0, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35845, 71708, 107571, 143434, 179297, 215160?\nAnswer: 251023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 13*f**2 - 48*f + 2047. List the prime factors of q(26).\nAnswer: 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**5 - q**5 + 2*q**5 - q**5 + 4*q**5 - 2*q**5 + (-2*q**4 - q**2 + q**2)*(1 - 2*q - 1) - q**5 - 4*q**4 + 4*q**4.\nAnswer: 10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10027656 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcqjkcejh. What is prob of sequence jqec?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 16 + 0 = -2*b, 11 = -b + 3*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 + 0.2. Let f = n + -1.94. Let u = f + -0.05973. What is u rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2078*c - 321*c + 77064 = 1104*c + 2425*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p - 5. Suppose -5*z - 108 = 57. Let m = z - -28. Let g(c) = 7*c - 6. Give m*k(y) + 4*g(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.637912615 rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(700\/45) + 1\/2. Which is the second smallest value? (a) -8.3 (b) n (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/3, -10, 2.7, 12, -35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8588515*k**3*l**2 + 199*k**2*l**2 + 42*k**2 + 44*k*l**2 + 2*k*l wrt k?\nAnswer: -51531090*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h - 367985597592*h**2 - 6*h + 367985597593*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 20, 2\/75, 5202 in increasing order.\nAnswer: -2\/11, 2\/75, 20, 5202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 20658041.\nAnswer: -2\/20658041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1010011010212102 (base 3) to base 6\nAnswer: -1331244445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 3:44 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13, 13, -7, -53, -131, -247?\n\"Answer: -c**3 - 4*c**2 + 19*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3899*r + 11493.\nAnswer: 3899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -79*m**3 + m**2 - 1. Let k be c(-1). Suppose 4*u = 45 + k. Suppose -4*v - 3 = -u. Calculate the highest common divisor of v and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (4 + -2) - -2) + 85 + -67 + 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 113*-227600\nAnswer: -25718800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.032 - -10.968. Which is the closest to 1? (a) p (b) -0.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 0*z**2 - 4*z**2 + 3*z**2. Suppose 14 = 5*x - 11. Let u(t) = -3*t**2 - t**2 + x*t**2 + 3*t**2. Give q(u(j)).\nAnswer: -32*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -813 times 314\nAnswer: -255282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (279*x - 56*x**3 - 279*x)*(2 + x**2 - 3 - 443*x + 442*x).\nAnswer: -56*x**5 + 56*x**4 + 56*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 - 3*h**4 + h**4)*(16 + 113*h - 22 + 7).\nAnswer: -226*h**5 - 2*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 313. Suppose -197*x + c*x = -22141. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**8\/30240 + t**7\/11340 + t**6\/648 + t**5\/180 - 7*t**4\/4 - 2*t. Let j(z) be the third derivative of l(z). Factor j(x).\nAnswer: -2*(x - 3)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 + -174. Let x be (4 - t)\/(-4*(-1)\/(-152)). Which is greater: -77 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14650 is divided by 6570.\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -1 - (101 + -91 + (-24 - (0 + -4)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -73, -1, 0 in ascending order.\nAnswer: -73, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93415\/639 or 145?\nAnswer: 93415\/639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2252 - -2254. Factor 0 + 2\/9*f**t + 4\/9*f.\nAnswer: 2*f*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*f = 29*f + 275 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.15, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -153 + 101 - 3*g + g in the form t + j*g and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24425, 48851, 73281, 97715, 122153?\nAnswer: 146595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**3\/9 - 4586*j**2\/9 + 2*j\/9 + 4586\/9 = 0.\nAnswer: -2293, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 385, 253, -4, -2 in decreasing order.\nAnswer: 385, 253, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(-1*165\/20).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/5824 and 101\/4.\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30441798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*t + 2*v, 4 + 6 = 2*v. What is the tens digit of 6180\/18 + t\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p + 4. Let f be l(0). Let r be ((-15)\/6 + 3)*f. Find c, given that -4\/3*c**3 - 2\/3*c**r + 0 + 2\/3*c = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.927 rounded to 1 dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15307077 to the nearest integer?\nAnswer: 3912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11949\/(-68280))\/((-18)\/(-240))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5221 and 67163171?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 4, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 - -2) - (6 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59 - 3?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 16 (b) -4 (c) 0.2 (d) -236 (e) -9 (f) -1\/10 (g) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -317*d + 637*d + 2 - 318*d - 10*d**2 as j + y*d**2 + r*d and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(28\/8)*17. Let y = h - -60. What is the highest common factor of y and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1299 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 4327 + 8*m + 4331 + 2*m**2 - 8666.\nAnswer: -2*(m - 2)*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**30*(g*(g\/g**(1\/3))\/g)**(-10) assuming g is positive.\nAnswer: g**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x + 6. Suppose 11*c + 3819 = 3852. Calculate m(c).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -491*c**3*s**2 - 418*c**3*s + 5*c**3 + 5*c**2*s + 19*c*s - 1846*s**3 - 2*s wrt s?\nAnswer: -982*c**3 - 11076*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/8 + 2\/(-8). Let q(h) = 0*h**2 - 10 - h**3 + h**2 + 11. Calculate q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 4*d**2 - 4*d + 3. Let g be m(4). Let s be 4\/(-10) - 684\/(-10). Suppose 2*j + 0*j - s = 0. Calculate the highest common factor of j and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**8\/336 - k**7\/210 + k**6\/24 + k**5\/60 - k**4\/3 + 2*k**3\/3 + 4*k**2. Solve l(q) = 0 for q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 101. What is the hundreds digit of (-13540)\/w + (-10)\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.13 + -144.\nAnswer: -145.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 q when three letters picked without replacement from {q: 4, a: 2, z: 3, o: 1, g: 2, y: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -5. Let p = -0.03 + -2.97. Let c = i + p. Put 4, c, 0.3 in descending order.\nAnswer: 4, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/16)\/(1\/16). Let a be (-129)\/(-27) - c\/(-36). Solve t + 0*t = 5, a*g + 2*t = -10 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/99 and 20\/85070183?\nAnswer: 765631647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**3 - 8*l**2 + 14*l + 4. Let d(h) = -h**3 + 6*h**2 - 12*h - 4. What is 5*d(k) + 4*w(k)?\nAnswer: 3*k**3 - 2*k**2 - 4*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 2*k - 299. Let q = k + -86. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1614 - -1.9546.\nAnswer: 1615.9546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 7, j: 9}. Give prob of picking 2 v and 2 j.\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 4*r**2 + 6*r + 7. Let y be d(-5). Suppose -y*q + 16 = -16. Solve 2*b = 5*k - q, 3*b - 20 = -4*k + b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000099894 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a. Let o(g) be the third derivative of -8*g**2 + 0 + 0*g + 1\/12*g**4 + 0*g**3. Determine o(w(l)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 c when four letters picked without replacement from clccl.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q**2 + 903*q - 12419. What is j(211)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 3:25 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (30\/4)\/5*10. Suppose 8*p - 160 = 24*p. Let b = p + k. What is the remainder when b is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(2\/((-240)\/(-8))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302 is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -0*r + 9, -2*p + r - 3 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**4 + 4*l**4 - 6*l**4 + (4*l**3 + 0*l**3 - 3*l**3)*(5*l - 11*l - 18*l).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 140074 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -161.4 - -163.9. Let s = -2 + 3. What is the second biggest value in s, 3\/2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 9*b + 5*p + 37, -p - 4 = 0. Let d = -59 - -107. Suppose -o - d = 2*o. Is b at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - 161\/(-49). Suppose 4*v - w*d - 33 = 0, 5*v + 3*d - 2*d - 27 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 15. Suppose -4 = -w*h + h. Suppose -h*t = -t - 8. What is the greatest common factor of 48 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5309 times 4?\nAnswer: 21236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 18*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 19*w**2 - 32*w + 34. Let b be (-1)\/(-4) + (-9 - 0 - (-1320)\/(-160)). Determine a(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 5*l**4\/36 + 15*l**3 + 1215*l**2\/2 - l + 6. Factor p(c).\nAnswer: 5*(c + 27)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/16 and -25\/51.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -59. Suppose 2*d - 7 = -u, 3*d + 2*u - 3 = 7. Suppose f + o = 10, -2*f + d*o = 1 - 21. What is the greatest common factor of f and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -95. Suppose 3*b + 202 - 81 = 4*r, 0 = 5*b + 2*r + 167. Let j = b + h. Solve -g = -j*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70596b (base 15) to base 12.\nAnswer: -1953202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, 81, 224, 415, 648?\n\"Answer: -z**3 + 33*z**2 - 3*z - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 4. Let p be y(-2). Calculate the common denominator of 73\/20 and (-860)\/200*10\/p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(32)\/sqrt(2))\/(-1*sqrt(32)\/sqrt(4)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 9*x**2 + 29*x + 63. What are the prime factors of p(18)?\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -202*m**3 - 42*m**2 + 422*m**3 - 198*m**3 - 2 + m to x + w*m**3 + r*m + s*m**2 and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w + 6. Give u(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2))\/(1\/38). Let p = 167 - v. Put p, -5, 0, 7 in decreasing order.\nAnswer: 7, 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108380 is divided by 649.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**3 + 17*q**2 + 5*q - 43. Let j(w) = -w**3 + 6*w**2 + 2*w - 14. Let i(o) = 7*j(o) - 2*n(o). What is the remainder when i(-5) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199116.\nAnswer: 2, 3, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 85*z**2 + 587*z + 73795. Give c(-81).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 686814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + -10 + 18 + 12 - 9) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 26. Calculate the remainder when c(0) is divided by ((-1)\/2)\/(10\/(-180)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71151.93 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*o + 5*a, -3*o - 1 = -5*a - 26. Suppose -12 = -y - y + 4*z, y + 4*z = o. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 4, -0.0571, -1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3712\/256)\/(1\/((-4)\/12*-6))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78755052 and 144384262.\nAnswer: 866305572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(187)*-5 - sqrt(187)) + (sqrt(187)*-2*4 - sqrt(187)))\/(-3*sqrt(44)\/(sqrt(16)\/sqrt(4))*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29988*f**6 + 8*f**2 + 3*f - 25.\nAnswer: -3598560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -0.17, -5, -2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-336)\/280)\/((-6)\/40)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160 - 161 + 517*i**2 + 482 - 159 to the form p*i + m + s*i**2 and give s.\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 98778?\nAnswer: 98778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -302341 + 1410?\nAnswer: -300531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 - 3*j**2 - 6*j + 8. What is the remainder when w(3) is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 + 5*w - 4. Let p(n) = -2*n + 10. Let m be p(3). Let z be j(m). Suppose 6*x + 84 = -z*x. Is x less than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300.562 rounded to 0 dps?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000508346392 to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**2 - 141*g - 294 = 0.\nAnswer: -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*5\/(-30)*3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 13. What are the prime factors of 0 + c + 102\/3?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -833, -839, -855, -887, -941?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 11*i**2 + 16. Let u be a(-11). Suppose u = 5*y + 1. Suppose 24*h - 17*h - 175 = 0. Solve y*d - 12 = m + m, 5*d - h = 5*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 6*w + 3 + 3*w**2 - w - w**3 + 0 - w. Let t be s(4). Solve 3*i + 0*k = -t*k - 6, 0 = -4*i - k + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6129536851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*g**2 - 2*g**2 + 2*g**2)*(2 + 3 + 0) - 2 + 2 - 2*g**2)*(-2 + 2*g**2 + 2) as s + q*g**4 + v*g**3 + b*g**2 + z*g and give q.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 12*o**2 + 6*o + 8*o + o**3. Let t be j(14). Solve t = -w - 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218597731?\nAnswer: 11, 2749, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(-2\/45))\/x)\/x**22 assuming x is positive.\nAnswer: x**(-943\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450168 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24875742 is divided by 412.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 755080045 to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-2))\/11*(-15)\/(-18)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17.0633 + 0.0633. Let f = -641.98 - -625. Let t = w - f. What is t rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 21*n + 247. Let w be k(-12). Sort w, 4, 3, 12.\nAnswer: w, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3 - 6 + 7*u + 6. Calculate the remainder when 52 is divided by t(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1512865, 1512836, 1512807?\n\"Answer: -29*o + 1512894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964108?\nAnswer: 2, 241027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*h = 14, -4*x - h = 4*h - 25. Suppose 0*d = -3*d + 24. What is the least common multiple of x and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1559 + 1505. Suppose -2*n - 113 = b, -4*n + 3*b - 85 - 136 = 0. Which is smaller: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3907395 - 29.286.\nAnswer: -3907424.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 68, 74, 82, 92, 104?\n\"Answer: n**2 + n + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2018872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34783*l - 17402*l - 4777*l**2 - 17381*l.\nAnswer: -4777*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4781a - -9f?\nAnswer: 478b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*m + 44. Suppose -3*v - m = -5*o, -3*o = 4*v - o - 16. What is the least common multiple of (v - 0 - 0) + 2 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(2442\/12)*1\/1*(-22)\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + j = 7, 5*s + 10*j - 5*j = 20 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**2 - 26*y + 235. Let h be u(9). Suppose -h - 449 = -11*r. Calculate the highest common factor of r and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqq when three letters picked without replacement from qaqa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 3 + (-96 - -85).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + 1*sqrt(19) - (sqrt(1539) + -1*sqrt(1539) - sqrt(1539))**2).\nAnswer: -1540 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.67421841 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 5500305.\nAnswer: -2\/1100061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-8*1\/(-32)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 - 4*z**4 + 0*z**4 - 239*z**3 + 239*z**3 + 11*z**4 + (3 - 1 - 1)*(5*z**4 + 2*z - 2*z).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*z**3 - 2*z**2 - 303 - 357*z**3 - 70 - 356*z**3.\nAnswer: 2*z**3 - 2*z**2 - 373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 1, k: 3, e: 1, s: 5, q: 1}. What is prob of sequence kks?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713 + 2403 = 67*u + 100*u - 52*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1064 divided by 28\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2185542*x**2 - 3286765?\nAnswer: 4371084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of -3*w**8\/7 - w**4\/6 - 5*w**3\/3 + 2*w**2 + 101*w. Find the second derivative of p(f) wrt f.\nAnswer: -2880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 8*r**2 + 6*r + 28. Let x be q(9). Let m(g) = 13*g**3 + 5*g - 5. Let u be m(x). Let d(z) = z**2 + 14 + 1 + 6*z - u. What is d(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 42*d - 117. Let f be r(39). Suppose -5*h - 3*t + 420 = f, -h - 39 = 5*t - 145. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = 0. Let j(s) = -2*s**2 - s - 3885. Let l be j(g). Is (1\/3)\/((-7)\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 7\/3, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 707.66 - 718. Let t = 1920.36 - 1920. Let h = t - p. Round h to zero decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/6120 - (9204\/153)\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 2. Let o(c) = -10*c**v + 0*c**2 + 6*c**2. Let q(t) = 2*t**2. Give q(o(u)).\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/455810 and -91\/455810?\nAnswer: 455810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 19. Let x = 23 + r. Suppose s - x + 5 = 0. Calculate the smallest common multiple of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 61\/2 of a decade?\nAnswer: 3660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28838751 is divided by 343?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4\/5 + 237*u**3\/5 + 454*u**2 = 0. Calculate u.\nAnswer: -227, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1726383027 rounded to the nearest one hundred thousand?\nAnswer: -1726400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrvvrrr. Give prob of picking 2 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 - 367*x**2 + 130*x + 1176. Give m(73).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(52))**2 + sqrt(13) + (1*sqrt(156) - sqrt(156) - sqrt(156))\/sqrt(12) - (3 + sqrt(1053) + 0).\nAnswer: -9*sqrt(13) + 1869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 171, 1742?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6568 + 9636. List the prime factors of d.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in decades?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 251990359?\nAnswer: -125995179.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 4*j - 640, 2*j + 3*n - 802 = -3*j. Suppose 3*m + j - 1397 = 0. Suppose -d + 273 = 2*z, -4*z + 7*z - d = m. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 13*g - 65. Differentiate 10 + v - 137 + 9*v + 2*v**g wrt v.\nAnswer: 8*v**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85f6 (base 16) in base 5?\nAnswer: -2044134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {c: 1, u: 4, y: 1, d: 4, s: 4, l: 1}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5033660.\nAnswer: 2, 5, 389, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**5\/60 - k**4\/8 - 5*k**3\/6 + 51*k**2\/2 + 51*k. Let p(v) be the first derivative of y(v). Calculate p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0542 less than 15?\nAnswer: 16.0542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117 in -2\/7, -5, -1\/6, -4\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 14*p + 8. Let m be a(-4). Find v such that 3\/5*v**2 + m*v - 3\/5*v**3 - 3\/5*v**4 + 3\/5*v**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -749, -717, -685, -653, -621?\nAnswer: -589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 + -30)\/(1395\/99 + -14)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c**5\/2 + 64399*c**4\/2 + 1627979*c**3\/6 - 10984141*c**2\/6 + 2851601*c\/3 - 371644\/3 = 0. Calculate c.\nAnswer: -7147, -13, 2\/9, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (6 - -3) + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/9, 212, 471\/5, -1 in increasing order.\nAnswer: -1, -0.5, 2\/9, 471\/5, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*g + 138, 0*o - 5*g - 261 = 2*o. Is -133 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 3:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/27 - 47\/135. Let v = -12 - -12.2. Let k be (471\/(-180) - -2) + (-15)\/(-20). Which is the nearest to -0.1? (a) v (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2)*(-3*i + 4*i - 3*i) + 53*i + 77*i + 8*i in the form q + v*i and give v.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9514931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 752 and 8648.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 11 + 1. Suppose -5*z + 3*f + d = 0, -4*f + 0 = -4. Solve -2*r = 5*y - 18, 10 = 2*y - z*r - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/6 - 32*i**4 + 60104*i**3\/3 + 13243805*i**2\/3 - 26767125*i\/2 + 26846875\/3 = 0. Calculate i.\nAnswer: -275, 1, 2, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198 - 198.199. Let u = -13.899 - v. Let g = 6.7 + u. Which is the third biggest value? (a) g (b) 3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 435082?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.08 - 0.08. Let z = -98\/3 + 31. Which is the second smallest value? (a) 0.4 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 60*k - 1620. Let d be k + -37 + (-74)\/(-12). Is 30 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4)\/c**14)**(-2) assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 2, 39, 1\/4, -2\/11, 93.\nAnswer: -2\/11, 1\/4, 3\/2, 2, 39, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 7 - 11 + 4*v.\nAnswer: 4*v - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-2*sqrt(24))*6)\/(6*(sqrt(432) + (sqrt(432) - ((sqrt(432)*-2 - sqrt(432))*-1 - sqrt(432) - sqrt(432))))).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y**3 + y**3 + 4*y**3 - 5*y**3 - 12 + 12 - y + (-4*y**3 + 2*y**3 + 5*y**3)*(4 - 16 - 2) as j*y + u*y**3 + s + w*y**2 and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103186*a*k*t**4 + 81*a*k*t + 2*a*t**3 - 5*a*t**2 + 3*k*t**3 - 3*k - 32*t**2 + 10 wrt t?\nAnswer: 2476464*a*k*t + 12*a + 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5853848 divided by 13244.\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = -v, -2*s = -3*v - 0*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 44. Suppose -31*o = -y*o - 9. Let v(n) = -2*n**3 - 4*n**2 + 5*n - 7. Let b(d) = -d**2 + d - 1. Calculate o*v(p) - 5*b(p).\nAnswer: -2*p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 3*i + 1169*i**2 - 1187*i**2.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -4, -0.2, -0.14, 4\/25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -11\/4*f**5 + 24*f + 0 - 3\/2*f**6 - 5\/6*f**4 + 0*f**2 + 0*f**3. Factor t(g).\nAnswer: -5*g**2*(g + 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.18 (b) -4 (c) 0.16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1088 + 1088. Let s = -0.1 + 0.3. Let i = -0.7 + s. Which is the nearest to o? (a) 0 (b) 2\/3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1100) + -1 + 4 + sqrt(1100) + (0 + sqrt(1100) + -1 - sqrt(1100)) + -1)*-4)**2.\nAnswer: 640*sqrt(11) + 70416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -613825 divided by -14275?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6 + 337241276*u**4 + u**2 + 18401806.\nAnswer: -240*u**3 + 8093790624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (231\/(-14))\/(1 - (-7)\/(-4)). Suppose -2*t - 199 = -509. Calculate the common denominator of -5\/2 and 3 + u\/(-8) + t\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/60*-2*(-45)\/(-54)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4\/7 + 20*i**3\/7 - 10*i**2\/7 - 200*i\/7 - 24 = 0.\nAnswer: -2, -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1387 + -1387. Solve 3*i + 6*m - 2*m - 1 = 0, b = -2*i - 4*m + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27581 > 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 0.3375?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-8)\/2) - -5. Let f = i - -8. What is the remainder when 33 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j - 4. Let t(q) = q**3 + 5*q**2 + 4*q + 2. Let x be t(-2). Let b be x - (0\/1 + -3). Determine s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**26*l**(-2\/43)*l)**(-4\/39))**(2\/21) assuming l is positive.\nAnswer: l**(8272\/35217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -324000 to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*(j\/(j\/j**(-4\/3)))\/j)\/j**(3\/8)*j*j**(-6)*(j*j\/j**(-6\/7))\/j)**9)**(-35) assuming j is positive.\nAnswer: j**(12225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 135126 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 324765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 30 (b) -0.03 (c) -1.32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44526.\nAnswer: 2, 3, 41, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 + 72. Suppose -51 = -j*m - 3*c, 0 = 6*m - 7*m + 2*c + 11. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 360.5 - 360.1. Sort -2\/3, -1\/68, -1, i.\nAnswer: -1, -2\/3, -1\/68, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2516 times -112\nAnswer: -281792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 84844942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - (-2)\/(-8) - -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 4 = 9 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yaoa when four letters picked without replacement from ooyaa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 25*i = 98. Let r(k) = k**3 + 6*k**2 - 6*k + 3. Let a be r(i). Let u be a - (266\/8)\/(-7). Sort 4\/7, 5, u in ascending order.\nAnswer: 4\/7, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 PM and 9:41 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 16)*(3*k - 3*k - k**2).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66 + -75. Is 35 a factor of 211\/2 - k\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*s + 28*s + 61*s + 60*s to h + w*s and give w.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-404)\/10 - (-8)\/20). Let g(a) = -356*a - 4*a**2 + 3*a**3 + 356*a. Let b(m) = -24*m**3 + 33*m**2. Suppose n + 4*n = -20. What is k*g(z) + n*b(z)?\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l + 1 - 3*l)*(28*l - 28*l + 2*l**3).\nAnswer: -4*l**4 + 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 7585887053.\nAnswer: 7585887053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -2*u - 17\/12*u**4 + 0*u**3 + 0 - 61*u**2. Let p(f) = -11*f. Give i(p(n)).\nAnswer: 374*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25872\/16170*(-65)\/28?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27313 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -4\/3*y + 2 + 2\/9*y**3 + 1\/3*y**2. Suppose n(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10300*y**3 + 35*y**2 - 48 wrt y.\nAnswer: 61800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42282 and 25352676?\nAnswer: 2205682812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 241*j**2 + 245*j**2 + 2*j.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 148 = -81*h + 66*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98769131*u*x**2 + 22157507*u*x - u wrt x?\nAnswer: 197538262*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26019 is divided by 123?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18*(25\/10 + -1). Let r = 31 + -55. Let t = r + l. Solve -t*n = 3*m + 3, 0*m - m + 2 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 3*s - 2*s + (0 + s + 0)*(5 - 1 - 1).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.532 in 1\/4, -112, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a9 - -3665?\nAnswer: 3589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 95 = -3. Let g = 36 - b. Solve -g = 4*l + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12548507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -148346300 to the nearest one million.\nAnswer: -148000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2680 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -972.5\nAnswer: -6807.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - r - 36 = 0, 5*u + 20*r = 18*r - 45. Let f(d) = -3*d - 34. Calculate f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, e: 1, q: 2, k: 1, v: 1}. Give prob of picking 1 o, 1 j, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 385, 399, 423, 457?\n\"Answer: 5*v**2 - v + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1418 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: 3\/(-27)*(-84)\/196*(-45)\/(-60)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.031 + 44. Let j = r - -0.0310046. What is j rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l, 6 = -5*d - d + 4*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*c - 186 + 384 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(3*x + x**2 - x**3 - 8*x**2 + 3*x**2).\nAnswer: -2*x**3 - 8*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-7)\/(-3))\/(-7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*3\/9*((-14)\/28 + 1). Let f(w) be the third derivative of -w**4\/24 + 3*w**3\/2 + w**2. Give f(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 11 - 49*h**2 + 52*h**2.\nAnswer: 3*h**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2370 divided by -2.\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 23. Let a be m(-9). Let o be a\/(-10) - 12\/(-5). Let s(p) = o*p - 283 + 283. Let k(w) = -w. Give s(k(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 257?\nAnswer: -11\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110022 - 1?\nAnswer: -12110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72034.94ml to litres.\nAnswer: 72.03494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/(-12))\/(6\/(-48)). Let u(i) = -6*i - 11. Let o be u(a). Solve -8*r + 3*r = -o for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 562*l**2 + 8638 - 319*l**2 - 244*l**2 + 9601 to h*l**2 + a + w*l and give a.\nAnswer: 18239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2480 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248054611 and 9002?\nAnswer: 4501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 4806743*n**2\/4 + 4806740*n + 4806739.\nAnswer: (n + 2)**2*(n + 4806739)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4933 - -5537. Calculate the remainder when c is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 + 11*l**3 + 4695*l - 4695*l with respect to l.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005329939421 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 25*t**2 + t + 35. Let c be l(25). Find the common denominator of 73\/30 and 4\/c*(3 + (-260)\/(-15)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395 - -417. What is the remainder when 31 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0. Suppose -15*l + 4 + 12 = 46. Let g = 3.8 + -3. Which is the nearest to j? (a) g (b) l (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**5\/5 + 242*a**4\/5 + 3442*a**3\/5 + 8662*a**2\/5 + 1092*a = 0.\nAnswer: -105, -13, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -274615004 - -0.5.\nAnswer: -274615003.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/8)*i*(i*i*i**0*i)\/i*i*i*i**4*i\/(i*i*(i\/i**(-2\/9))\/i)*((i*i\/(i\/(i*i\/i**(-1\/5))))\/((i\/(i*i**(-2\/9)))\/i))**(-3\/16) assuming i is positive.\nAnswer: i**(5333\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18792182.\nAnswer: 2, 9396091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74368 or 74365?\nAnswer: 74368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axxecmceemnm. Give prob of picking 1 e and 1 x.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1297 + -1310.0069. Let t = i + 13. Round t to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x. Let d(q) be the third derivative of -q**4\/12 - 207*q**2. What is s(d(n))?\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 31*u**2 + 10*u - 5. Let k = -2022 - -2033. Let g(a) = 6*a**2 + 2*a - 1. What is k*g(o) - 2*q(o)?\nAnswer: 4*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (14\/(-4))\/1)*3158\/14211 + 45?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 73*z**2\/5 + 162*z - 360.\nAnswer: (z - 60)*(z - 10)*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381018444, 762036887, 1143055330, 1524073773?\nAnswer: 1905092216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1 (b) 0.3 (c) 508\/57 (d) 2 (e) -18\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1157440 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imm. What is prob of picking 1 i and 1 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*p**2 - 656*p**2 + 226*p**2 + 215*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 383 - 380. Let s(t) be the third derivative of -2\/3*t**v + 1\/6*t**4 + 3*t**2 + 0 + 0*t. Let n(d) = -d**2 - 13*d + 13. Calculate -2*n(h) - 7*s(h).\nAnswer: 2*h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.942561 - 0.88361. Let f = q + -0.059. Round f to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 q when four letters picked without replacement from qfrqrqrriruir.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2978.5 - -2979. Which is the biggest value? (a) -5\/2 (b) w (c) 21 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.99 + 0.01. Let p = -0.016 + 0.216. Sort h, p, -0.3 in descending order.\nAnswer: h, p, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5004067 and 5.\nAnswer: 25020335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 5. Let a = 31 + -16. What is the remainder when a is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 27547*m**2 - 43*m**3 + 27534*m**2 + m**4 - m + m**3 to f + n*m**2 + l*m + i*m**4 + k*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -232 and -6.26173?\nAnswer: 1452.72136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 19*b**2 - 29*b + 17. What is n(-15)?\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415, -400, -361, -286, -163, 20, 275, 614?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (54\/21)\/((-192)\/2352)*(16\/(-28))\/(-1)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 - (10 - 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 9*b - 8. Let i be w(8). Suppose i = 4*y, -1 + 33 = -4*g + 5*y. Let z = 11 + g. Which is bigger: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 5. Calculate the greatest common divisor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -457d1 - 2?\nAnswer: -457d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - r - 19 = 0, 18 + 4 = 5*y + 2*r. Solve -13 - 3 = -y*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*l + 139*l + 135*l - 535*l + 131*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 19*h. Let l(g) = 85*g**2 - 140. Let p(q) = -5*q**2 + 8. Let c(n) = -2*l(n) - 35*p(n). Give c(v(o)).\nAnswer: 20*o**4 - 380*o**3 + 1805*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -3, -7, 3\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2)\/(-4)*-4. Suppose -80 = 2*n - 10*n. Let w be ((n - 3) + 3)\/(4\/2). Solve 0 = w*t - 3*t - l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 47*m**2 - 6*m - 7. Let i(f) = -140*f**2 + 16*f + 20. Let b(c) = -6*i(c) - 17*l(c). What is the units digit of b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + 7\/3. Solve -26 = -s*x - 5*t, -x = -3*t - t + 13 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + 82 + -88 + (1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -388 + -127. Let z be (-6)\/(-33) + d\/(-11). Let f = z + 3. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -858*y + 4137. Calculate q(5).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293 divided by -3?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 694747 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 8:31 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-6)*(-1875)\/32500?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 60?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13584\/(-2547)*(-12)\/(-56).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -15 + 18. Suppose -4*t = -2*c - 3*t - 11, 2*c + 13 = j*t. Sort c, -2, 5.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.019 (b) 1\/3 (c) 15 (d) 0.05 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617365.\nAnswer: 5, 323473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2753*v**4 + 4964*v**4 - 5 - 12793*v**4 + 295*v**2 wrt v?\nAnswer: -121824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2269 - 2269. Solve o = 5*k + 3*j - 4, 45 - 44 = 2*k + j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -36745, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 196, -55, -1, -3 in ascending order.\nAnswer: -55, -3, -1, 0, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, g: 4, y: 1}. Give prob of picking 2 g and 1 p.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eedd when four letters picked without replacement from dddddee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**6\/120 + o**5\/10 - o**4\/24 + o**3\/3 - 529*o**2. What is b(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Suppose z + 4 = g. Let q be (-12)\/2*(-2)\/z. What is the biggest value in q, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(-1)\/n*n**(2\/3))\/(n**(-1))**(-46)*(n*n*n**(-1))**(9\/11)\/(n**(-1\/4))**(-2\/61) assuming n is positive.\nAnswer: n**(-179251\/4026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000749 to six dps.\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235851207*i*x**3 + 29412*i - 267*x wrt x.\nAnswer: -1415107242*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6998, -13996, -20998, -28004, -35014?\nAnswer: -42028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + 0.1. Let g = 0.54 - p. Which is the second smallest value? (a) 2\/7 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082699813 to the power of 1\/3, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 5*p + 5 + 5, -3*o = p + 2. Suppose o = 4*y + 2 - 22. Calculate the greatest common factor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x + 2. Let f be p(0). Let k(v) be the third derivative of v**4\/12 - v**3\/6 + 5*v**2. Calculate k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 23.7. Which is the nearest to -1? (a) 3\/2 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 31 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -110.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 48. Solve 0 = -4*h + k*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/12 - (-3 - 94\/(-24))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 < 480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/30 - (768592\/(-60) - -22). Round w to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 - 14*v + 73. Let z be u(7). Let g = z - -341. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -4 + sqrt(700)*2).\nAnswer: -20*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1161 + -1160.5. What is the smallest value in z, 2.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 7:21 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 + 1800 = -218*z - 1328 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -303322130123 (base 4) to base 3\nAnswer: -221121101200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6605 and -2?\nAnswer: -5.321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, x: 6, o: 4}. Give prob of sequence xx.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**4 + 3660*t**3 - 356705*t**2 - 360360*t.\nAnswer: 5*t*(t - 88)*(t + 1)*(t + 819)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*c = c - 1, 3 = c. Suppose -h*w + 9 = -7. Let o = w + 0. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4693*g**3 - 16*g**2 - 16*g + 1407. Let n(l) = -l**3 + l**2 + l + 5. Let a(j) = -c(j) - 14*n(j). What is the third derivative of a(m) wrt m?\nAnswer: 28242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 149825110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-19)*k*k**(-33))\/(k**(2\/37))**(-1\/5) assuming k is positive.\nAnswer: k**(-9433\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8920444 and 48?\nAnswer: 107045328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*q + 196*q. Let w(s) be the third derivative of q - 10*s**2 + 0*s**3 - 1\/60*s**5 + 0*s + 0*s**4. Let u(y) = y. Determine w(u(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/13832 and -5\/1438528.\nAnswer: 1438528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 71.023 + -76.023. Let r = 5.6 - 6. What is the closest to 0 in r, c, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17234 = -4*p - 5*v, -5*v + 4*v + 2 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1499943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 60528?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**0\/(n*n**(-4\/3))*((n\/n**(-2\/3))\/n)**(6\/23) assuming n is positive.\nAnswer: n**(35\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/65)\/((-32)\/((-75200)\/(-282))).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 23*j = -291. Let q = -107 - j. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 + -70. Let t = 37 + k. What is the smallest value in -1\/3, t, -2\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*l - 19. Suppose -l = r, 11 = 4*u + r - 2. Suppose -y + 5*n = -5*y + 16, -u*n = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30321133 (base 4) in base 7?\nAnswer: -310012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76108843*p**2 + 2493*p - 56584?\nAnswer: 152217686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -39294 divided by 1062\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**3 + 8*u**3 - 169574*u + 169574*u + 187*u**4 + 2065*u**2 wrt u?\nAnswer: 4488*u + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 + -6. Let z = -18479 - -18582. Calculate the remainder when z is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 5 (c) 0.0023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/12 (b) 2 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1411*d - 747.\nAnswer: -1411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15236)\/(-4102))\/((-1)\/((-14)\/4)). Let j(p) = -6*p - 1. Let h be j(-1). Solve -h*g + 3 = c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61 - 27 - 161*z**2 - 13 - 104*z**2 + 100*z**2 - 21.\nAnswer: -165*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 867 - 867. Let g be (3 - 5)*(-6)\/4. Suppose -2*i + 14 = 5*p, q = -3*i - p + g + 5. Solve 1 = -a - i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -487340, -974361, -1461382?\n\"Answer: -487021*p - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4568 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606814809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209\/3031 or -1?\nAnswer: -209\/3031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 66190384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/4 + 35*x**4\/6 + 50*x**3 + 180*x**2 + 171*x. Factor i(b).\nAnswer: 5*(b + 2)*(b + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1733, 3531, 5329, 7127, 8925?\n\"Answer: 1798*z - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/3))**18*(k\/k**(1\/2))**18 assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(17920\/6)\/8. Let y = 1643 + g. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/4)\/12)\/(-1)*8\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*c + 2. Let x be (-3)\/(-2*39\/26). Solve m = c - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9693088 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3893 + 1843. Let v = h + 1313. Let t = v + 8857\/12. Find the common denominator of 13\/9 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -29 (c) 1\/2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 11*q + 30. Let f be o(-6). Let h be (-2)\/((1 + -2)\/3). Suppose -c + h*c - 70 = f. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7944 times 85791\nAnswer: -681523704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/((b\/b**(6\/5))\/b))\/b))\/((b\/(b**(-10)*b))\/b))\/(b**(-2\/31)*b**(-16)))**(-2\/81) assuming b is positive.\nAnswer: b**(-2128\/12555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 76*x**2 + 2*x + 161. What is h(-76)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4.21 times -0.2\nAnswer: 0.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -0*j - 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*z + 4\/7*z**2 + 1088\/7 = 0. Calculate z.\nAnswer: 1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50\/(-30))\/((-5)\/6))\/(12\/90)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 166.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 4*k**2 + k**3 + (0*k**2 + 2*k**2 + 0*k**2)*(0*k + 2*k + 0*k) - 5*k**3 + 3*k**3 + 3*k**3 + (-3*k**2 + k**2 + 3*k**2)*(138 - 242 + 64*k + 114).\nAnswer: 70*k**3 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2017*m**3 - 2021*m**3 + 432*m**4 - 1 - 258*m**4 as v*m**3 + s*m**4 + g*m + b + n*m**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, -3, 3, 7\/10?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 581 + 108*g**3 + 2*g - 108 + 247 + 11*g**3 with respect to g.\nAnswer: 357*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1594 + 1596. Let j(x) = x**3 - 3*x**2 - 5*x + 1. Let s be j(5). Differentiate -2*h + 2*h + m - 20*h**4 + s*h**4 wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -9, -38, -81, -138, -209, -294?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9778592 rounded to three decimal places?\nAnswer: 27.978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 80.6656 and -69?\nAnswer: 149.6656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*s + 49*s + 54*s + (-1 + 1 + 1)*(s - 3*s + 0*s).\nAnswer: 159*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o**2 - 4*o**2 - 3*o**2 + 5*o**2 - 12*o**2.\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23596 and 4709?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8880 is divided by 8866?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/5 of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -142*t**4 - 452*t**2 + t - 380392 wrt t.\nAnswer: -568*t**3 - 904*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h + 1. Let k(f) = -f**3 - 7*f**2 - 5*f + 3. Let b be k(-6). Let t be w(b). Solve t*i + i + 25 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(1\/53)*x\/(x\/x**(-13)))**(-21\/2))**(3\/4) assuming x is positive.\nAnswer: x**(4599\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 + -280759)\/((-9)\/(-6)*(-4)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99.439106 to two decimal places.\nAnswer: -99.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqy when four letters picked without replacement from {m: 2, q: 5, y: 5}?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - 0)*2\/6. Is (0 + -3)\/v*28 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, -2, -133, 153 in increasing order.\nAnswer: -133, -2, 5, 20, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85757, 171504, 257239, 342956, 428649, 514312, 599939?\n\"Answer: -l**3 + 85754*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + 628\/20. Let k = s + -6. Suppose 2*a = 3*a - k. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648380 a multiple of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -98253.79 to the nearest one hundred.\nAnswer: -98300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(5\/12)*q**(-28\/5)\/q assuming q is positive.\nAnswer: q**(-371\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - -46. Let v = -102 + k. What is the second derivative of y - 15*y**v - 3*y + 8*y wrt y?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 5*a + 7256 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 5:07 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s + s - 2*f + 3, -63*s + f + 3 = 66 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*j - 10*j = 424290. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 6*v**2 + 9*v + 4. What is the lowest common multiple of 20 and y(7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2962*v**2 + 3849*v**2 - 993*v**2 - 1332*v**2.\nAnswer: 4486*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + -103 - 200\/(-10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 22*l + 419. Calculate the remainder when 88 is divided by s(-18).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**2 - 15*k + 3. Let u(x) = -11*x**2 + 23*x - 4. Let d(j) = -8*f(j) - 5*u(j). Suppose 5*c + h = 3*h + 19, 4*c - 3*h - 18 = 0. Calculate d(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45040?\nAnswer: 2, 5, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(99)*-2 + -4 + (sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: -4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 4:45 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9969, -10019, -10069, -10119?\nAnswer: -10169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -0.4\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -100 (b) 1\/4 (c) -3 (d) 2323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 - v**3 - 3*v**2 + 0*v**3 + v**3 + 0*v**3 + (0*v**2 - 3*v**2 + 4*v**2)*(0*v + 0*v - 3*v) to j + t*v**2 + o*v + w*v**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 1) + (9 - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.1 times 1.83085?\nAnswer: -12.999035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 plus -8287067672?\nAnswer: -8287068284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 1:46 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6))\/(1\/12*(-27)\/4914*147)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.14 - -4.14. Sort -1, o, 1 in descending order.\nAnswer: o, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 16 = 4*i + 25, -3 = o + 2*i. What is the second derivative of 9*u + 9*u - 3*u**o - 10*u**5 wrt u?\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568363 to the power of 1\/2, to the nearest integer?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 + -42. Let c = -83 - -71. Let x = y - c. Let n(w) = -5*w**3 - 4*w**2 + 2. Let o(j) = j**3 + j**2. Determine x*n(p) - 6*o(p).\nAnswer: -p**3 - 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1140 and 40?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 15, g: 5}. What is prob of sequence kg?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -14*i + 213. Let a(r) = -5*r + 71. Let y(j) = -17*a(j) + 6*m(j). Let l be y(0). Let b = 127 - l. Calculate the remainder when b is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxlxxxxxxxx. Give prob of picking 2 x.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5\/3, -0.00569.\nAnswer: -5\/3, -0.00569, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35315 - 35223. What is the highest common factor of 16652 and v?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/84 and 55\/4283016.\nAnswer: 29981112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21821094?\nAnswer: 2, 3, 1212283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:18 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2 + 113. Let w(a) = 54*a**2 - 109*a**2 + 53*a**2. What is x(w(j))?\nAnswer: -20*j**4 + 113","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -6*j + 1. Let y be d(-9). Suppose y + 23 = 6*p. Calculate the greatest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.026*-475546\nAnswer: -12364.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/9)\/q**(-3))\/(q*q*q**(-1)*q**(-2\/5)) assuming q is positive.\nAnswer: q**(128\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 117 + -120. Sort 1\/2, 5, y, -2\/13.\nAnswer: y, -2\/13, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2386 (base 11) to base 10\nAnswer: -3119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 + 0.73. Which is the second smallest value? (a) f (b) 1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20 and -19 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u + 1. Let o(m) = -22 + 11*m + 24 + 12*m. Let v(t) = -11*h(t) + 4*o(t). Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 5853?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -28*j. Solve 15 = -j*a + 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.076 + -0.06. Let d = s + -0.131. Let k = 0.445 + d. What is k rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 + 2311?\nAnswer: 4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*w = -105*w - 147. Suppose 0 = -4*k - 190 + 862. Calculate the greatest common factor of k and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -144358 less than -143676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 t when three letters picked without replacement from {y: 2, t: 1, e: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1987, 16058, 54243, 128596, 251171, 434022?\nAnswer: 689203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02656051 rounded to five decimal places?\nAnswer: -0.02656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 959521?\nAnswer: 37, 25933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - -5. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 n when three letters picked without replacement from {z: 2, b: 1, n: 1, s: 1, t: 5}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 878*l**2 - l + 2. Calculate the remainder when h(1) is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.124 or -0.2?\nAnswer: -6.124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4810 - 0.27.\nAnswer: 4809.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 + 174. Suppose k*s - 744 = 13*s. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (3 + -1) - (-8 + -2552) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18294?\nAnswer: 2, 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-20)\/25440)\/((-2)\/(-12))?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 14*w**2 - 2*w - 21. Let i be h(16). Let x = i - 663. Let y = x - -329. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-10 - (-13 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -352\/3 - 2\/3*t**4 - 472\/3*t - 38\/3*t**3 - 72*t**2 = 0. Calculate t.\nAnswer: -11, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -1) + 18 + 0. Let p = s - 12. Let f be (p\/12)\/((-2)\/4). Is 1\/4 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + y. Let g(t) = 7*t**2 - 7*t + 8. Let l(r) = 2*f(r) + g(r). Let p be l(-12). Let q = -531 + p. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 10*r**2 + 15*r - 12. Let x be m(11). Suppose -28 = -3*k + x. Suppose 5*d = k + 130. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 896?\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -o - 2*t + 29, t - 2 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52543819.\nAnswer: 797, 65927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = 13*m - 600. Let y = 55 - m. What is the remainder when 142 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231\/5 - -47. Let o = 4 + -1. Let l = 4.2 - -0.8. What is the second biggest value in l, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 355.9136s to milliseconds.\nAnswer: 355913.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 21\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-4)*1)\/(-57 + 56)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1259*i**2*o + 5*i*o + 6*i + 6*o wrt i.\nAnswer: -2518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 29*m + 63. Let w be y(-31). Solve -w + 2 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i + 101*i - 61*i - 85*i.\nAnswer: -67*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*((-35)\/(-7))\/15\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3207 or -3208?\nAnswer: -3207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1797b (base 13) to base 3\nAnswer: -2022111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 16. Give t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (4 - 0) - (4 + -25 + -10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-9)\/(-3) - (-5)\/2. Which is the third biggest value? (a) 5 (b) j (c) -3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -32949.\nAnswer: 4\/10983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.4761 - 0.0439. Let s = z - -29. What is s rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 137790 or 11436597\/83?\nAnswer: 11436597\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3\/4, -17279, 1\/5 in decreasing order.\nAnswer: 3\/4, 1\/4, 1\/5, -17279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 - 13*j + 2 + 3 + (-2 - 2 + 3)*(3*j - 3*j + j).\nAnswer: -14*j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (-60 - -11) + (15 - -24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.09720325 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Is 4 a factor of 9\/2*(p + (-80)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*v**3 - 35*v**3 - 28*v**3 + 26*v**3.\nAnswer: 46*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 25067*k - 1. Let y(m) = 42*m. Give y(n(r)).\nAnswer: 1052814*r - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87620082157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349945 less than 25399779\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -43076953.\nAnswer: -43076953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -46243439.\nAnswer: -46243436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammmma. What is prob of picking 2 m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 385 - 35 = -7*j. Let a be j - -54 - (-2)\/(-4)*0. Solve -9*r + a = -5*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/57 + (-7)\/(-21). Which is the closest to q? (a) -0.3 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 48*i**3 - 2*i**2 + 1. Calculate the remainder when o(1) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 100, 106, 116, 130, 148?\n\"Answer: 2*w**2 + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l*l\/(l*l**(-7)\/l))*l*l*l)\/l**18*(l**(-1\/6)\/l)**(1\/12))**(-25\/2) assuming l is positive.\nAnswer: l**(43375\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643 a factor of 943657249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5316 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2515329.954 to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 84 = -60. Let l(q) = -17*q + 206. Let i be l(u). Solve 3*w + 3*s - 12 = 0, -i*w = 4*s - 2 - 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*(u*(u\/(u**(-1\/4)*u))\/u)\/u)**48\/((u**(-1\/4)\/u)**(-1\/6)*(u**(-2\/7))**10) assuming u is positive.\nAnswer: u**(-70115\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3260 - -3197 - (2 + 52)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2413 + 2417. What is the smallest value in -2\/81, 3, z?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 15153*u + 3. Let t be g(1). Let j = t + -8063. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1709 (base 12) in base 7?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*a**2 - 47*a + 135*a - 47*a - 44*a + 3*a.\nAnswer: -176*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 16*a**2 + 71*a - 48. Give g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from {q: 1, a: 1, l: 1, o: 1, z: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 41*w**2 - 392*w - 51. Determine o(-49).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-1))**(-29)*(y*y\/y**(-7))\/y*y\/y**(-2))**19 assuming y is positive.\nAnswer: y**(-893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 516*g*h**5 + g*h**2 - 103*g + 2*h**2 wrt h?\nAnswer: 30960*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let y(n) = 10*n**3 - 10*n**2 + 7*n. Let i(b) = -7*b**3 + 7*b**2 - 5*b. Let c(p) = 7*i(p) + 5*y(p). Let a be c(1). Solve a = g - m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 10 - 8)*(-126 + q + 126).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44159?\nAnswer: 44159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68200034 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2 + 5*p - 2 - 31*p. Let m(g) = g**2. Give m(d(a)).\nAnswer: 676*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410608760?\nAnswer: 2, 5, 97, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -9, 0, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24581.33 hours to seconds.\nAnswer: 88492788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = x - 0*i + 4*i, -2*x + 4 = -i. Solve -x*v - 16 + 4 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2350 + 2355. Solve 2*c + 3*c - 2*t + 15 = 0, x*c + 50 = -5*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 + 0 = 3*f, 0 = -2*f - 3*n + 16. Suppose -2*z - f*m + 2 = 0, z + 2 = 3*m - 5*m. Solve 0 = 3*j - 5 - z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9681.889 millilitres in litres?\nAnswer: 9.681889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let i(g) = -g**2 + 3*g - 1. Let m be i(4). Which is the nearest to 1\/4? (a) 2\/9 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 12 = -t. Let m(h) = 0*h + 0*h + t*h + 2*h. Let k(z) = -z. Determine k(m(y)).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 503?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 12:57 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + 0 - 0) + -1. Let t be 4 + (4 + u - 4). Suppose -m + 0*m + 21 = s, 5*s - t*m = 84. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 2. Let o = 26 + -11. Let d = o + -11. What is the units digit of w(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 38*w**2 - 4*w - 6. Give r(-2).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103 and -53.6.\nAnswer: -5520.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -25. Suppose 2*q + 4*m = 16, 0*q - 3*q = 2*m - t. Factor 3\/5*b + 0 - 3\/5*b**q + 3\/5*b**4 - 3\/5*b**3.\nAnswer: 3*b*(b - 1)**2*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 79\/(-76) + 1\/(-4). Let k = -4\/19 + s. Which is the third biggest value? (a) 5\/2 (b) k (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556004903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/9, -1\/3, 0, 32646, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l + 1. Let r(v) = 7*v**3 + 4*v**2 - 2*v - 2. Determine -2*p(g) - r(g).\nAnswer: -5*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of z**4\/8 + 5*z**3\/6 + 27*z**2\/2 - 9*z + 3. Let x(m) be the first derivative of r(m). Calculate x(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -4, -1 in descending order.\nAnswer: 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 81785?\nAnswer: 1226775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1246089, 2492146, 3738203, 4984260, 6230317, 7476374?\n\"Answer: 1246057*i + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.891619 + -0.105581. Let o = 16.7 + 0.3. Let a = o + u. What is a rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182531424.\nAnswer: 2, 3, 1901369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 - -14 - 19 - 57?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -358 + 357.7. Let o = 1 - -9. Let g = -2.22 + 2.42. Put g, z, -2\/9, o in ascending order.\nAnswer: z, -2\/9, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -2*z**7\/21 + 5*z**6 + 7*z**4\/4 - 11*z**3\/6 + z**2\/2 - 2073*z. Find the third derivative of v(o) wrt o.\nAnswer: -240*o**2 + 3600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49672 and 9236331.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/4)\/((-1)\/(-2)). Let y = 606.1 + -606. Which is the biggest value? (a) y (b) -17\/2 (c) q (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -1024?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175 = -59*c - 120 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771978 is divided by 79.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -15*x + 16. Let w(r) = r - 1. Suppose 19*v - 16*v - 6 = 0. Let f(i) = 2. Let h(n) = 1. Let d(p) = 3*f(p) - 5*h(p). What is v*d(g) + x*w(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (497 - 1005 - 658)*(2*t + 1 - 1).\nAnswer: -2332*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 20 = -7*h - 134. Which is bigger: -15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, i: 16}. What is prob of picking 2 b and 1 i?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10619*b**2*i*t**2 - 2*b**2*i*t - 2*b**2*t**2 + 666365*b*i*t + 5*t**2 wrt t?\nAnswer: 21238*b**2*i - 4*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1240848068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -a - t, 15*a - 5131*t + 260 = -5136*t for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 21*f + 4.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-12)\/(-32))*(-18)\/8. Solve w + 3 + k = 3*c, -w - 5 = -2*c for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17468704 and 704?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/7697 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26923.\nAnswer: 13, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 10*b - 5. Let r(n) = 2*n**2 - 8*n - 4. Let g(p) = 4*h(p) - 5*r(p). Let q(u) = -52*u. Calculate g(q(m)).\nAnswer: -5408*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 18 = 34. Let r be h + 0*(4 + 15\/(-4)). Solve -3 + 17 = -3*i - w, -r = 2*i + 2*w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10))\/((-1197)\/(-45) - 23)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 177.6 + -177.6009155. What is t rounded to 5 decimal places?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 4.62. Let u = f - 0.28. Suppose -12*n = -3*v - 17*n + 20, 2*v = 5*n - 20. Which is the third smallest value? (a) v (b) u (c) 0.3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101736 - 3*a + 2*a + 50339 + 50709.\nAnswer: -a - 688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4633 or -4635?\nAnswer: -4635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d**3 - 33*d - 10. Let u(h) = 11*h**3 - 17*h - 6. Give -3*i(w) + 5*u(w).\nAnswer: -11*w**3 + 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4807 + 57829\/12. Calculate the common denominator of x and -3\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -51. Suppose 5*s = 250*v - 247*v + 678, v - 522 = -4*s. What is the remainder when s is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 466\/10 - 777\/(-555). What is the highest common factor of 9576 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*q - 45. Suppose -q = -6*n + n. Suppose 5*z - 3*j - 12 = 0, -n*j - 4 = 5*z + 8. Solve z = -f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 14, -39575, 3, 5 in ascending order.\nAnswer: -39575, -3, -2, 3, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 758 = 4*u - j, 0 = 5*u - j - 958. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 106592*p - 64549440.\nAnswer: -4*(p + 620)*(p + 26028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - z + 5, 5*w + 4*z = -0*z + 20. Solve w*r + 5 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9678 and 216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 518 and 60014?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17619953 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 30280137 = -123880137. Round t to the nearest 1000000.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2016 and -97\/324.\nAnswer: 18144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 34540*f. Let v(n) = -157*n. What is 1099*v(y) + 5*w(y)?\nAnswer: 157*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2.5, 14\/3, 0, 2\/17, -2\/9?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0 = -10. Let t(m) = 16*m + 70. Let d be t(x). Let i = -95 - -473\/5. Is d bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -7, 2860, 2.2 in decreasing order.\nAnswer: 2860, 2.2, -0.01, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1246.9 + -1247. Which is the closest to 2\/5? (a) 2\/11 (b) k (c) 5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*q - 2*q + 4*q + 119*q**2 - 120*q**2 to w*q + u + z*q**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 59, 162, 327, 566, 891, 1314, 1847?\nAnswer: 2502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/11)*r)\/(r\/(r*r*(r*r*r*r\/(r**(1\/6)\/r)*r)\/r))*r**(-2)*r**0 assuming r is positive.\nAnswer: r**(307\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40485710732 take away 5?\nAnswer: -40485710737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 313 - 2457\/8. Calculate the common denominator of i and 24\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/(-4))\/((-6)\/(-16)). Let y be (1 + 2)*(-20)\/s. Suppose 2*g = l - y*l + 40, 4*g = -l + 10. Solve -3*n = 2*n + l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 5c2?\nAnswer: -5c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3020.9552 to the nearest integer.\nAnswer: -3021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((1092\/(-220))\/(-7))\/(10\/(800\/208) - 2)\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24629\/15390 - -1\/3078. Put 4\/15, h, 5\/6 in decreasing order.\nAnswer: 5\/6, 4\/15, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of i**6\/90 - i**5\/30 + i**3\/9 - i**2\/6 + 3*i. Factor d(m).\nAnswer: (m - 1)**3*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/16)\/(-1*6\/156). Suppose 0 = -6*p + 8*p + k, 5*k + n = 3*p. Solve m + p = -0*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -0.1 (c) -2\/141 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*z**5 + 50*z**5 - 182*z**5 - z - z**5 + z + (3*z**3 + 0*z**3 - 2*z**3)*(z**2 + 2*z**2 - 4*z**2).\nAnswer: -38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*p - p - 2 = 0, 3*p = -q + 7. Let o = -37.89 + 33.89. Put o, q, -0.1 in increasing order.\nAnswer: o, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -31. Calculate the greatest common factor of j and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247 + -249 - (1 + -1 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224) - (sqrt(224)*-1 - sqrt(224)))\/((sqrt(96) - (sqrt(96) + sqrt(96) + sqrt(96)*-2 - sqrt(96)) - sqrt(96))\/sqrt(12)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 8*y - 2. Let s = 12 - y. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 32, 54, 92, 146, 216?\n\"Answer: 8*c**2 - 2*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 198. Suppose -4*h - 2368 = -4*n, -5*n = 5*h - h - 2969. Let l = o + n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82030*l**3 + 246012*l**3 - 81950*l**3 - 82030*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let i be -6*(2 - (-7)\/(-3)). Let f(c) = 5*c - 3*c - i*c + 3*c. Calculate x(f(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/58065 and 18\/455.\nAnswer: 754845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 4\/(-10) - (-18)\/5*4?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 1 - 40*n + 44*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -879, -1840, -2833, -3858, -4915, -6004?\nAnswer: -7125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -8, 0.2, 3, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r + 2. Give k(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = r. What is the third derivative of l**r - 4*l**6 + l**2 + 2*l**6 + 3*l**6 wrt l?\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 + 114. Solve 3*g + 0*g = q*t + 12, -5*t - 8 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000004413 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14742 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/45 + 4\/(-10). Which is the biggest value? (a) 2\/3 (b) f (c) -2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -9. Let t = u + -36. Sort -3, 5, t in ascending order.\nAnswer: t, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 18 = 24. Let n be (-1)\/(-4) + v\/(-144)*-6. Let i(d) = 5*d**3 + 5*d**2 - 1. What are the prime factors of i(n)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.8 (b) -6 (c) -9\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*o**3 + 186*o**3 - 35*o**2 + 5*o**2 - 376*o**3.\nAnswer: -21*o**3 - 30*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2*(-8 - -3 - -11). Solve -5 = -2*v + h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - 8, 2*t - 2*f - 3*f = -14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 300221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 0, 0 = 2*r + 2*x + 7 - 27 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 0 - 2\/27*k**3 - 2\/3*k**2 - 3*k + 1\/9*k**4 + 1\/45*k**5. Factor q(m).\nAnswer: 4*(m - 1)*(m + 1)*(m + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -20. Suppose 0 = -4*b + x + 2. Let p = b + -7. What is the lowest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j + 39*j + 38*j + 45*j + 34*j - 215*j + 31*j.\nAnswer: -23*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x**3\/4 + 3246368*x**2 - 113984299*x\/4 - 12985551\/2 = 0.\nAnswer: -1442839, -2\/9, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 65?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005607814248 rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4878861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 101 + -101. Solve 0 = -4*y - h + 23, 3 = h - p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z - 2. Give d(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66729625 divided by -4\nAnswer: -66729625\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - 0) + -42 + 46 + -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 10:25 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*f**3 + 410*f**3 + 219*f**3.\nAnswer: 266*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-2 + 0 - -9) - ((-13 - -8) + -62).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -880 + 950. Calculate the greatest common divisor of t and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 1500*y**2 - 10648*y + 18336.\nAnswer: 4*(y - 4)*(y - 3)*(y + 382)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4491916 and 66?\nAnswer: 13475748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 341 = -344 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*p**3 - 14*p**2 - 52*p + 1092.\nAnswer: -123*p**2 - 28*p - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 280284846 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.010535nm in meters?\nAnswer: 0.000000003010535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3 - -5\/12. Is -2\/17 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 84 - 679. Let p = r - 81. Solve 2*y - 1 = -0*y - 3*h, -p*y + 5 = 3*h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7590240 divided by 32?\nAnswer: -237195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + k - 3163 + 3200, 4*k + 7 - 3 = 0 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -4. Let d = v + -1. Let r be ((-168)\/30)\/14*(-90)\/108. Which is the closest to d? (a) 1\/9 (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 7*k + 5. Suppose 5 = -i + 12. Let u be b(i). Suppose 10 = -u*m - 15. Sort m, 12, -2.\nAnswer: m, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3541.91 + 3481. Let m = -61 - w. Which is the smallest value? (a) 2 (b) m (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2613*p*z - 15*p + z + 204 wrt z?\nAnswer: -2613*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 176555 in ascending order.\nAnswer: -4, 2, 176555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7014200.\nAnswer: 2, 5, 17, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 6*p**2 + 8. Let m be 9\/((21\/(-2))\/(-7)). Determine n(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*f - 38. Suppose -5*s = -2*j - f, -3*j + 34 = 5*s - 0*j. Suppose m = -s - 0. Is -6 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 73*w**2 + w - 140*w**2 - w + 69*w**2. Let i be (-130)\/(-18) - 4\/18. Let f(a) = 2*a - 3. Let r(y) = 5*y - 7. Let l(z) = i*f(z) - 3*r(z). Give l(k(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -997 + 1019 - (7 - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*l**3 + 1 + 205*l**3 + 208*l**3 - 7.\nAnswer: 5*l**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*d - 34 - 2*d**2 - 15*d - 35 - 35 + 108 in the form p + m*d + h*d**2 and give m.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3061.339t to micrograms.\nAnswer: 3061339000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c - 22*c + 12*c**4 + 13*c wrt c?\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, c: 1, u: 9, i: 2, o: 4}. What is prob of sequence dc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10.761 times 0.11\nAnswer: -1.18371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - -4?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95337?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 2*d. Let y(r) = 11*r**3 - 6*r**2 - 6*r - 29. What is -3*p(n) - y(n)?\nAnswer: -11*n**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/32 and -107\/13752?\nAnswer: 55008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -75040193, -75040191, -75040187, -75040181, -75040173?\n\"Answer: x**2 - x - 75040193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -110 + 64 + 72. Which is the closest to n? (a) 33 (b) -0.1 (c) -0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011110 (base 2) to base 5.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -517, -519, -519, -517?\n\"Answer: i**2 - 5*i - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9202020 and -58734571?\nAnswer: 67936591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 494 and 1070?\nAnswer: 528580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.8 times 158.8?\nAnswer: 3938.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 11*k - 19. Let n be s(-8). Suppose n*b = -0*b + 170. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a13 - -4bac?\nAnswer: 4199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4 + 16. Find the common denominator of 218\/(-12) - (z - -16) and 13\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 16*p - 4. What is x(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 15. Suppose -3*i - 4*r + 4 = b, -5*r = 5*i - 0*r - 10. What is the third smallest value in i, -0.5, -0.2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keskkwkkeehehkwkweh. What is prob of picking 2 k?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(6*(-48)\/768)*(-18)\/28.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*2\/(24\/(-20)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2473, -2491, -2535, -2617, -2749, -2943?\n\"Answer: -2*z**3 - z**2 - z - 2469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/13 + 8\/13*t**2 - 2\/13*t**3 - 10\/13*t = 0. What is t?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1020 = -272. Suppose -2*c - 8 = 0, -16*c = -5*l - 17*c + r. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1499776 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -14765*n**2 + 3*n + n**3 - 6*n**4 + 7399*n**2 + 7374*n**2 as r*n**2 + g*n**3 + a + o*n + k*n**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(2\/53)\/(u**(1\/16)\/(u\/(u**(-4)\/u))))**(5\/4) assuming u is positive.\nAnswer: u**(25495\/3392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.071628 and 2.\nAnswer: 12.143256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 less than 15?\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 3 = 5*t, -3*c = -2*c - 2*t + 2 - 11 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/2, -3, -6627 in decreasing order.\nAnswer: 2, 1\/2, -3, -6627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + -3 + -2 + (8 - 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 491\/12 - 135\/4. What is the common denominator of d and 10\/(-4)*46\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19376734 is divided by 3229432.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1199*q + 2088*q - 3716*q)*(2*q + 2*q - 2*q) in the form v*q**2 + r*q + d and give v.\nAnswer: -5654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 371, -2195, -4 in increasing order.\nAnswer: -2195, -4, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 242?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 4*i**2 - 34*i - 2. What is the remainder when 82 is divided by b(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004500445 rounded to 5 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o**2 + 1033*o - 29378. Give w(137).\nAnswer: -471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*2*sqrt(165))\/(sqrt(40)\/(sqrt(24)\/sqrt(3))))\/(sqrt(396)*1*-4 + 3*((sqrt(396) + sqrt(396)*-2 - sqrt(396)) + sqrt(396))).\nAnswer: -2*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4476711 in -0.1, -0.3, 0, 2, -3, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 816\/252 + (-8)\/3.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1860, 4014, 6466, 9216, 12264, 15610?\nAnswer: 19254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*z + 3*m + 1, -4*m - 12 = -5*z. Let c(h) = h**2 + 5*h + 2. Let y be c(-5). Solve -y = 2*t - z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*f - 81, 4*f = -3*w - 50 + 7. Let g be (-121)\/w + (-14)\/119. Suppose -g*l + 4*l = -24. Calculate the remainder when 21 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 25 = 5*u - 6*h, -2*u - 16 = 4*h. Suppose 84 = u*m + m. Calculate the highest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192580 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + q**2 - q + 1. Let p(m) = -3*m**3 + m**2 + 4*m + 3. Let d(b) = 4*b**3 - 2*b**2 - 6*b - 5. Let i(j) = 5*d(j) + 8*p(j). What is i(l) + 2*r(l)?\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1041 at least as big as 10249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0)**2 + 3 + -3*sqrt(17) + sqrt(17) + ((sqrt(1700) + 2)*-4 + sqrt(1700) + 1)**2.\nAnswer: 418*sqrt(17) + 15420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {i: 6, u: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -354 - -357. Which is the closest to 82? (a) -3 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31\/188 - 4\/47. Let t(n) = -n**2 + 8*n + 8. Let z be t(-1). Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/6*(-20)\/(-280).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 105. Let w = 94 - 53. Let r be (w - l) + (-2 - -1). Solve -g - r = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (-4 + -11))\/1. Suppose 4*h - 4*q = -4, -3*h - 4*q + v = -0*q. Suppose -h*l + 4*l = 10. Solve 4*u = -2*j + l*j + 6, 2*u = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o**2 - 2*o**2 + 5*o**2)*(351 - 795 - 175*o + 401 - 165*o) to the form y + z*o + b*o**2 + s*o**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(-3*m**2 + 6*m**2 + 10*m**2) in the form d + p*m**2 + a*m and give p.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptptptpttp. What is prob of picking 2 p and 2 t?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -34198637598107 + 4\nAnswer: -34198637598103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14633 + -14610.19. Put t, 1\/10, 4 in decreasing order.\nAnswer: t, 4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2. Let x(n) = 16*n + 6. Let d(b) be the first derivative of b + 1\/2*b**2 + 8. Let h(r) = 6*d(r) - x(r). Determine h(a(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*g + 39*g - 1378 = 46*g for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/2, 2\/15, -0.032, 3.9?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-14)\/10) - (-189)\/(-39)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2\/5 + 70174*q\/5 - 1231097569\/5 = 0. Calculate q.\nAnswer: 35087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -6 in ascending order.\nAnswer: -6, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 l when two letters picked without replacement from llllelleletlle?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**6 - 5*w**6 - 2*w**2 + 4*w**6 + 6*w**6 wrt w.\nAnswer: 720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1732 by -6.\nAnswer: 866\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 104. Suppose 2*f + 128 = 24. Let o be (-10)\/(-4)*f\/(-10). Calculate the highest common divisor of k and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11469?\nAnswer: 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -82142 (c) 0.3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s - 4. Let r(y) = -11*y + 7. Let n be 49\/(-14) + 2\/(-4). Let z be ((-60)\/24)\/((-2)\/n). What is z*h(j) - 3*r(j)?\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0*d**2 + 0 + 1\/6*d**3 - 3*d. Let j(p) = -3*p**2. What is f(j(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**3 - 1314560*w**2 + 108001620432*w + 432027514944 = 0.\nAnswer: -4, 164322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, u: 1, y: 2, f: 2, p: 1}. Give prob of sequence pv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-63))\/3*14*18\/(-24).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38943 is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -284, -305, -350, -431, -560, -749, -1010, -1355?\n\"Answer: -2*k**3 - 7*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*s - 4)*(1 + s**2 - 3*s**2 + 0*s**2) as w*s + d*s**2 + o + b*s**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 12684e?\nAnswer: -126840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -8. Suppose -5*j + d*j - 125 = 0. Solve -5*u = -0*u + j for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**2 - 7*w + 9. What is j(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 512221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131653635.\nAnswer: 3, 5, 8776909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -1650*p**2 - 100*p - 100. Let x(s) = 50*s**2 + 3*s + 3. Determine -3*n(m) - 100*x(m).\nAnswer: -50*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -6. Let i = w + 8. Let g = -567 - -565. Which is bigger: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -156*g**2 - 90*g + 40. Let m be r(13). Round m to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2.7, -388?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 425*x - 378. Is l(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 0.03\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1027, 1925, 2835, 3763, 4715, 5697, 6715, 7775?\n\"Answer: g**3 + 891*g + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 divided by -7.\nAnswer: 83\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -3711, -0.2, -0.1, 9, 6, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2292 by -75.\nAnswer: 764\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/7 - -2*3 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 10. Let r(a) = -x*a + 11*a - 6*a. Let u(k) = k + 5*k + 0*k - 7*k. Determine r(u(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 36*n - 9484. Calculate x(-82).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 12. Let a = w + -10. Let k = 1\/168 - -499\/840. Put -0.3, a, k in descending order.\nAnswer: k, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246159 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62, 68, 70, 68, 62, 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p**2 + 2*p - 4. Give j(2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 28. What is the nearest to -1\/3 in 1.7, f, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1341196?\nAnswer: 2, 335299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 - 57*z**2 - 31*z - 63. Calculate the remainder when 36 is divided by a(-28).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157653*i + 157653*i - 58*i**3.\nAnswer: -58*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2 - 3*m**2 + 26*m - 50*m + 14*m + 23*m. Let q(h) = h**2 - 4*h + 1. Determine -7*q(s) - 2*v(s).\nAnswer: -s**2 + 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*m*q**5 - 21*m*q**4 + m*q**2 + 6*m - q**2 wrt q.\nAnswer: 420*m*q**2 - 504*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/4 of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76855 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*o + 6. Let x(l) = -705*l**3 - 7*l**2 - 47 + 43 + 704*l**3. Let m be x(o). Which is the second smallest value? (a) -5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(1296)*2 + sqrt(1296) + sqrt(1296)))\/(-6*(sqrt(6) + (sqrt(6) - 3*sqrt(486)))).\nAnswer: sqrt(5)\/7200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*v - 21, -19 = -5*o - 0*v + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + 0.24. Let t = 0.04 + w. Let x be 2\/6 - 0\/2. Which is the biggest value? (a) t (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-602)\/((25088\/(-32))\/56)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10979*g**3 + 4879*g**3 + 3417*g**3 - g + 0*g.\nAnswer: 19275*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Suppose 2 = 4*m - 2*v - 0, 2 = -2*m - 2*v. Suppose 3*n + m + 3 = 0. What is the third smallest value in o, n, -5\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1677.161 + 1677.3. Which is the nearest to -2\/5? (a) 2\/3 (b) 1 (c) v (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -46. Let o be (1 + q)\/((-22)\/(-11)). Differentiate -9*k + 5 - 5 - o with respect to k.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 32 = -7*j. Let g(i) = -33889*i**2 + 4. Let u be g(j). What is u rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 7*t + 8. Let x be r(-6). What are the prime factors of (-8 - 0)*143\/x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 158, 218, 312, 440, 602, 798?\nAnswer: 1028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a millennium in decades?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**1)*r)**(-20)\/(r**(-5)*r**(1\/4))*(r\/((r\/(((r**(1\/4)*r)\/r)\/r*r*r*r))\/r))**(-50)*r**(-2\/7)*r**3 assuming r is positive.\nAnswer: r**(-5461\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t - 283 + 283 - 36*t - 84*t to the form l*t + p and give l.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*n**5 - 780*n**4 + 2*n**3 + 81*n + 255?\nAnswer: -520*n**3 - 9360*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5. Let a be (6 - (c - 0))*1. Let i(k) = -4 - 1 + k**2 + a. Let j(r) = 2*r. Calculate i(j(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/5 - 139*b**2\/5 + 674*b\/5 - 536\/5.\nAnswer: (b - 134)*(b - 4)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l - 1. Let o(q) = 4*q - 3. Let j(z) = -7*z + 5. Let t(g) = -3*j(g) - 5*o(g). Calculate -2*t(s) + w(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-27)\/(a*a\/((a\/(a\/((a*a**(2\/11)*a)\/a)))\/a)*a*(a*a*a**(-1\/3)*a)\/a) assuming a is positive.\nAnswer: a**(-1039\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7085?\nAnswer: 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1992214*g**4 - 9*g**3 - 31*g**2 - 1291559?\nAnswer: 47813136*g - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + i + 3*i)*(-5 + 2 + 4)*(-1 + 3*i + 1) to the form b*i**2 + a + l*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25.207527 months?\nAnswer: 2.10062725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3230 - -7025. What are the prime factors of y?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2280 and 3120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -1\/6*m**3 + 4*m - 1\/2*m**2 + 0. Give d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 8*h**2 + 2. Calculate m(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 349175047.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2166*n*u**2*y**3 - 7*n*u**2*y - n*u*y**3 + 49*n*u*y**2 + 2*n*y**3 - 4*u*y**2 + u*y wrt y.\nAnswer: -12996*n*u**2 - 6*n*u + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -10\/9 (b) 1\/3 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 259.558 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k + 5. Let m(t) = 1. Let u(q) = -b(q) + 4*m(q). Let v = -22 + 46. Suppose v = 4*i + 4*y, 0*i + 3*y = -2*i + 16. Give u(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhhhj. What is prob of picking 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(42)\/sqrt(6)) + sqrt(63)\/(sqrt(9) - (sqrt(9) + sqrt(441))))**2 + -3 + (2*(1 + sqrt(252)))**2.\nAnswer: 48*sqrt(7) + 7099\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 47 + 17 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 7, 29, 51, 73?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45608 or -36243?\nAnswer: -45608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2538 = -20*p - 16*p - 18*p for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 - 76*m**2 + 610*m - 1400 = 0.\nAnswer: 5, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -409 and 1.132.\nAnswer: -462.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4079278184 to the nearest integer?\nAnswer: 1598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 236*r**2 + 2. Let s be z(-2). Let n = s - 1801\/2. Find the common denominator of ((-54)\/154)\/(12\/(-42)) and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*t**4 - 209*t wrt t.\nAnswer: 1860*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37091.2 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16103*x**4 - 77265*x.\nAnswer: 193236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 55122 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g + 2 + 3*g - 3822415*g**2 + 3821809*g**2 to z + q*g**2 + l*g and give q.\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**4 - 347*r**3 + 5984*r**2 + 2450*r. Let b(g) = g**4 + g**3 - g**2. Let h(i) = -b(i) + d(i). Let h(f) = 0. What is f?\nAnswer: -2\/5, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.78 - -0.78. Let y = 262 - 257. What is the biggest value in y, -10\/7, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 7*y - 31*y**2.\nAnswer: -31*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {y: 4, i: 9, q: 3}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/340 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, l: 13}. Give prob of picking 2 l.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3723b (base 14) to base 12\nAnswer: -66099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 255234144 (base 6) to base 10\nAnswer: 5012560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 3*j + 15. Let q = 4 + j. Let a = 1 + 0. What is the closest to a in q, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 3*l - 1. Let w(r) = -1 + 136*r**2 + 78*r - 134*r**2 - 81*r. Give 3*n(o) - 4*w(o).\nAnswer: o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 525\/(-70)*8576\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -17*j + 16. Let d(z) be the first derivative of -1\/3*z**j - 2\/9*z**3 - 4 + 0*z. Find i, given that d(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 12*f + 41. Suppose -5*u + 3 = -4*h + 6*h, u + 15 = -3*h. Let c be v(h). Solve 15 = -0*o - c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 13*d - 47. Let t be o(21). Suppose 4*h + 2008 = 4*r, 888 = 2*r - h - t. Is 19 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 40 - 2 - 21)*(2 + 13*f - 2).\nAnswer: -715*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 456 + -35. Let z = n + -187. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n. Let q(u) = -3*u. Let m(d) = 3*d. Let t(r) = -2*m(r) - 3*q(r). Let i(o) = 3*t(o) - 4*v(o). Let l(x) = -x + 2*x + 0*x. What is l(i(z))?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -3*t**2 + 32*t + 3457. Determine k(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, 3, 1, -35, -1, 4 in ascending order.\nAnswer: -199, -35, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -5 + (25 + 14 - 54)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 8. Let q be (g\/(-2))\/((-5)\/(-60)). Solve -2*y + q = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 91*l**2 + 184*l + 221. What is x(93)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) 5 (c) 8 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3 (c) 8 (d) 2\/5 (e) 3.5 (f) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1101411 + -3010?\nAnswer: -1104421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 756, 1502, 2246, 2988, 3728?\n\"Answer: -p**2 + 749*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -12, 3*x - 20 = -x + 3*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 48 = -16*d + 41*d. Put d, -1, 1, 309 in decreasing order.\nAnswer: 309, d, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -cce90a - 28?\nAnswer: -cce933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5. Suppose 0 = l + 2*t + 3*t + 8, a*l = -5*t - 1. Suppose 0 = 2*u - 4, h + 2*u = l + 5. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29390*-5.\nAnswer: 146950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 f, 1 y, and 1 q when four letters picked without replacement from {w: 1, t: 2, q: 5, n: 3, f: 2, y: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-18))\/(-1))\/(2\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1 + 9\/3). Suppose -3*q = -0*q. Let d = 0.85 - 1.25. What is the closest to 2\/3 in t, q, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33 and 0.4?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2374216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 21815*b**3 - 10250*b + 76. Let r(v) = -4363*v**3 + 2050*v - 16. Let s(h) = -4*j(h) - 19*r(h). Find the second derivative of s(n) wrt n.\nAnswer: -26178*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -398 + 413. Let q(p) = 31*p + 197. What is the tens digit of q(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.036, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*y**2 + 6*y**2 + 2*y**3 + (-67*y + 188 - 188)*(-2*y**2 + 2*y**2 + 3*y**2).\nAnswer: -199*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10656 and 1490656.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*(-2)\/(-12). Let s = -7\/6 + 2\/3. Put n, -4, s in descending order.\nAnswer: n, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 7*h**2 - h + 2. Give k(6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04247901 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 16 = 8. Let g be 4\/(-1*(-8)\/y). List the prime factors of (-27)\/(1 - (-15)\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 831075 and 709184.\nAnswer: 53188800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*f - 152. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -5. Suppose 15 = -p - 5*w, 3*p + 5 = -l*w - 1. Suppose -r - 3*k - 2*k - 22 = p, 4*r - 27 = 3*k. Solve 19 = -3*a + r*f - 2, 5*a - 5 = -5*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 13*f = -4*j, 2*j = -f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7462, -13468, -19464, -25444, -31402, -37332, -43228, -49084?\nAnswer: -54894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1512*h**2 - 1512*h**2 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 33 = 5*b, -1596 = 4*b - h - 1628 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -329, -4, -417, -10, 4 in decreasing order.\nAnswer: 4, -4, -10, -329, -417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawlawaywjywlajda. What is prob of sequence jad?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -722 - -1675. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/856992 and 41\/3792.\nAnswer: 856992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 1204*c**2 - 1188*c**2 + 2*c.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31298 divided by -17.\nAnswer: -31298\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.025 - 7.775. Let u = 6 - -2. Let t = u + y. What is the closest to t in -0.4, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16965811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 3*h**3 - 2 + h + (2*h**2 - 4*h**2 + h**2)*(2*h - h + h).\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*v**2 + 5*v**2 - 7*v**2 + (4*v + 4*v - 7*v)*(v + 0 + 0) + v**2 - 3*v**2 + 0*v**2 - 10*v**2 - 22*v + 22*v to the form t + k*v**2 + h*v and give k.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3166 - 290 = -92*n + 677 - 5897 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -162002, -647989, -1457966, -2591927, -4049866, -5831777, -7937654?\n\"Answer: i**3 - 162001*i**2 + 9*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000335045 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 5:41 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -364 - -363. Which is smaller: m or -1\/82?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n\/n**(-1\/2))**43\/(n\/n**(-2)*n**(1\/6)) assuming n is positive.\nAnswer: n**(442\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 - h. Give y(2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*f + 17 + 337 + 258 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0275261 rounded to three dps?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*f + 38. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*y**4 - 90*y**3 - 3*y**2 - 2292*y?\nAnswer: 96*y**2 - 540*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(0*o - 2*o**2 + 0*o) - 28 + 28 - 72*o**2 as n*o + y + m*o**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6339.9 + -6352. Round o to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 2767600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 3*r + 6, -2*c - 2*r - 2 = -0. What is the derivative of 0 + c*b**4 + 0*b**3 + 0*b**3 - 1 wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24734.999 and -0.02.\nAnswer: -494.69998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91 - -29. Let m be (-4 + 1)\/((-6)\/(-4)) + 535. Suppose -m = 91*i - 104*i. What is the remainder when d is divided by i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 + 2*i**2 - 4*i**2)*(-i + 0*i + 3*i) + (5 + i**2 - 5 + (-2*i + 2 - 2)*(7*i - 5 + 5))*(-10 + 0*i + 8*i - 10*i).\nAnswer: 28*i**3 + 130*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 0.3, 1\/9, -3, 4, -2\/11 in descending order.\nAnswer: 4, 0.3, 1\/9, -2\/11, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8685\/13 or 1?\nAnswer: 8685\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25300*l**4 - 50*l**3 + 4235345*l**2?\nAnswer: 607200*l - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619329683?\nAnswer: 7, 88475669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7324 and 37\/14648.\nAnswer: 14648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**2\/9 + 271*b\/9 + 272\/9 = 0.\nAnswer: -1, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {v: 2, i: 3, y: 2, k: 1, a: 1, w: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 + q + 4. Suppose -26*o = -15*o - 22. Suppose 2*l - 2*j = 6, -5*l + 12 = -l - o*j. What is b(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (6 + -5 + -3 - 4) + 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/7 + 450*g - 3152\/7 = 0. What is g?\nAnswer: -1576, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 3*x - 3 + 6, 0 = 3*x + 2*a - 12. Let k = -22 + 29. Suppose -4*o + 280 = x*d - k*d, 0 = 2*d - 8. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 + 147 = -3*y, 0 = -2*h - 6. Let o = -80 - y. Let m = o - -38. Solve m = -0*p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let l(d) be the third derivative of -11 + 0*d**3 - d**2 + 0*d + 3\/8*d**4. Give l(y(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24780 by -354.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.457 - -0.458254. Round i to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6892.552 - -10.552. Let w = 6902.0082 + y. Let x = w + -20. What is x rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.99714ug to grams.\nAnswer: 0.00009999714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sb when two letters picked without replacement from sbsnbnjnbbnbjjbffbf.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 69*g**2 + 132*g + 136. Let p be o(67). Solve -2*n + 3*d - 14 = 0, -2*n + p*d - 11 = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9473 is divided by 9010.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2979 = 5*p, 0 = -2*p + 5*b + 590 - 1785. Let y = p + 864. List the prime factors of y.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*p - 278*p - 3*v + 19 = 0, 0 = 3*p - v + 8. What is the nearest to 0 in p, 2\/3, -213?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-20)*-33*28\/308\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -3 - (-7 - 59)) + 3. Let l = 76 - k. Solve -4*q - l = -2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/1896 and -133\/18?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 1, 2, -0.6, -7, 5, 1\/6 in descending order.\nAnswer: 5, 2, 1, 1\/6, -0.6, -3\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 25*m**4\/2 + m**3\/3 - m**2 - 8*m + 23. Let j be q(-2). Round j to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**3 - 21170*j**2 - 295645*j - 1033900 = 0?\nAnswer: -4220, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (143\/(-2))\/(3 - (-22)\/(-8)). Let y = -62 - d. Suppose 114 = t + c, 0*c = -2*t - 3*c + y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-139630)\/(16 - 10 - (-16)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/5125, -0.2 in decreasing order.\nAnswer: 0.4, -3\/5125, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/227090 and 17\/42920010?\nAnswer: 42920010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -46. Suppose -u*s + 346 - 11 = 0. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x + 2 - 2 + (-8*x - 2*x + 3*x)*(0 + 2 - 6))*(-5*x**2 + 1 - 1) to the form f*x + a + z*x**3 + k*x**2 and give z.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + a + 8 = 0, -6*g - 5*a = -9*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 326 = -50*i + 76. Let z = -0.15 + 0.05. What is the third biggest value in 1, i, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1541772\/115 + 13407. Let s = k - 2\/23. Put 4\/7, 3, s in descending order.\nAnswer: 3, 4\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7006943 by -7006943.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-2) + 37180\/8008.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25357 and 61262.\nAnswer: 1553420534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*u**3 + (-5101*u + 5101*u + 61*u**3)*(3 - 5 + 4) in the form d + n*u**3 + m*u**2 + i*u and give n.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 9:40 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 10545*l + 3040310.\nAnswer: -5*(l - 2366)*(l + 257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1067 divided by 6713\nAnswer: 1067\/6713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 122020100?\nAnswer: -122020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/14 - (-2)\/(-7). Suppose -7 = -i*d + 5*v, -5*d + 4*v + 1 = -1. What are the prime factors of -3 - d - (-1 - 10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 433*p - 444*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 280000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2101*c + 36 = -2092*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -26, -5, -0.2, -5\/7 in descending order.\nAnswer: 0.4, -0.2, -5\/7, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 7*o - 6. Let z be w(3). Which is the second smallest value? (a) z (b) -2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11883391477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.11 (b) -1\/2 (c) 3 (d) 1861 (e) 1\/2 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*(-10 - 127). Let c = v + 196. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19230, 38797, 58364, 77931?\nAnswer: 97498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 times 1296?\nAnswer: 222912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -878 + 5?\nAnswer: -873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -353.2 rounded to the nearest 10?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184802853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 254*j + j**3 + 9*j**2 - 126*j - 127*j + 13. What are the prime factors of p(-8)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 10:07 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168, 210, 318, 522, 852, 1338, 2010, 2898?\nAnswer: 4032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - (3 - 4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o + 10. Let r = 15 - 13. What is the remainder when 39 is divided by w(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 17*t - 378. Suppose 304 = t*g - 368. What is the highest common divisor of 160 and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**7\/105 + 7*g**6\/20 + 19*g**5\/10 + 55*g**4\/12 + 6*g**3 - 353*g**2. Find i, given that j(i) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 3*w**2 + 2*w**2)*(167*w + 52*w + 39*w) to t + v*w + g*w**3 + z*w**2 and give g.\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*h - 0*h. Suppose -2*n + 7*n = 10. Suppose -224 = -4*f + n*f. What is the highest common factor of f and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6*3\/2. Suppose -12*b + 11*b + x = 0. Solve z - b = -3*z, -5*g - 4*z - 11 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l - 18 + 2\/3*l**3 + 0*l**2. Let r(v) = -23*v. Determine r(t(m)).\nAnswer: -46*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 <= 14351\/137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 74382\nAnswer: 2\/37191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -277 - 1566213?\nAnswer: -1566490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - -1 - 0 - (-27 + 33).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.1 + 15.6. What is the second biggest value in 2\/3, -52, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r - 14. Let n be t(5). Let a be ((-41)\/(-4) - -4)\/(n\/(-4)). Let h = a + 287\/5. Which is smaller: 1\/15 or h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 54 = 7*n + q, 0 = -q - 2. What is the greatest common divisor of 98 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -561 + 83*a - 572 + 1127 in the form h + q*a and give q.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -625 (b) -1 (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11298 = -w + 5*d, 0 = -4*w - 2*d + 33659 + 11577. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2240*r - 7*r**2 - 11733*r + 2244*r + 7249*r + 2*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*v = -2, 3*s + 0*v = 3*v + 18. Let q(b) = -b**3 - 4*b**2 + 20*b. Let l(j) = 3*j**3 + 11*j**2 - 60*j. What is s*l(m) + 11*q(m)?\nAnswer: m**3 - 20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -6*r - 45, 5*r + 265*d + 30 = 266*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(120\/(-27))*(-40)\/60?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -22. What is the second derivative of m*y - 4*y**2 + 0*y**2 - 10*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(32))\/(sqrt(63)\/(sqrt(18)\/sqrt(2))).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 7\/264?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*d + 275 = 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 3*x = 0, 2*g + 1 = -x - 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(2057)*-2)**2 + 4 - sqrt(2057)) + (sqrt(2057) + 1 - sqrt(2057))*-1 - (2 + (sqrt(2448) - 2*sqrt(2448))**2 + -2))*3.\nAnswer: -198*sqrt(17) + 104094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*s**4 + 3 + (s - 3*s + 4*s)*(0*s**3 - 2*s**3 + 0*s**3) + 0*s + 2*s**4 + 0*s - s**4 + 2*s**3 - 2*s**3 + 72*s**4 + 60*s**4 - 120*s**4.\nAnswer: 7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:38 PM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/172 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1590*a = -1592*a + 4. Suppose -5*c + 2969 = 2*g, 1201 = a*c - 2*g + 19. List the prime factors of c.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -10.8. Let s = 8.2 - t. Let f = s + -6.8. Which is smaller: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 42 (b) -1 (c) 0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 12*j**2 - 4*j + 10. Let n be i(-7). What is the second derivative of 632*g**3 - n*g**3 + 54*g + 3*g**2 + 3*g**2 wrt g?\nAnswer: 36*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3398.6 + -3399. Sort 32, -4, l, 2\/9, -2\/3 in ascending order.\nAnswer: -4, -2\/3, l, 2\/9, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 0. Let y be (0 - (2 - 2))\/1. Suppose 5*j + y*j - 4*l - 105 = 0, j - 5*l - 42 = 0. What is the remainder when j is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(140) + sqrt(140)*3)\/sqrt(7))\/sqrt(4) + sqrt(50)\/(sqrt(360)*1))**2*4.\nAnswer: 3125\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -9 + 6 + 129\/(9\/(-75)*-5). Solve -3*p - 50*p = -m for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -655675, -655576, -655411, -655180, -654883?\n\"Answer: 33*l**2 - 655708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1.3 (b) 16 (c) 1253 (d) -0.1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from {v: 4, a: 2, f: 5, m: 2}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244 by -61.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-6\/11))\/j)\/(j*j**(-3\/2)))\/(j\/j**(2\/7))**(5\/17)*((j*j\/(j**(-9)\/j))\/(j**10*j*j))**(-1\/50) assuming j is positive.\nAnswer: j**(-669\/2618)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 - -213224111?\nAnswer: 213224202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 2838.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3877*i**3 + 0*i**2 + 2*i - i**2 + 3625*i**3 to x + y*i + j*i**3 + u*i**2 and give j.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -5, 5 in decreasing order.\nAnswer: 5, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109908 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 3:55 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 158*o - 19. Let w(i) = -2060*i + 248. What is 3*w(v) + 40*x(v)?\nAnswer: 140*v - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427893.6ml to litres.\nAnswer: 427.8936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2197*s - 883*s - 429*s - 13*s**2 - 885*s.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -12*l + 2. Let y(i) = -1112 - 18*i + 0*i + 1115 + 0*i. What is -8*t(j) + 5*y(j)?\nAnswer: 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05 - -0.35. Which is the biggest value? (a) 0.6 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54ac28b + -a?\nAnswer: 54ac281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, -0.3, -11, -4\/3, 1, 193?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 23*v = 136. Let x(u) = -4. Let y(z) = z + 2. Let h(m) = 3*x(m) + 4*y(m). Let l(d) = -1. What is v*l(a) + h(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + b**4 + 7*b - 11*b + 2*b**3 + 6*b**2 + 4*b in the form o*b**2 + c*b + m*b**4 + r + i*b**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6.233, -0.67, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/2 and 79\/486.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 0 = -4*h + 8, -4*u + 3*u = -b*h - 50. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**6\/180 - o**5\/60 - o**4\/6 + o**3\/6 + o. Let x(u) be the second derivative of y(u). Factor x(v).\nAnswer: 2*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 25 (b) 922 (c) -2\/17 (d) 1\/2 (e) -5 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/18)\/(1\/10). Suppose 5*r - g*f = 5, -r - 19 = 3*f - 8*f. Let v(t) = -t + 8. Calculate the lowest common multiple of 11 and v(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 99, 246, 459, 744, 1107?\nAnswer: 1554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -916*u**3 - 1 + 1821*u**3 - 921*u**3 + 11*u**4 - 1 to the form c*u**2 + m*u + b*u**3 + h*u**4 + f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -682*u**4 - 3*u + 83 + 339*u**4 + 344*u**4 - 2*u**2 + u to the form a + b*u**2 + k*u + f*u**4 + r*u**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*sqrt(968))\/(sqrt(32)\/(-1*sqrt(8)*-1)).\nAnswer: -110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64*s - 1288 + 1288)*(-1 + 0 + 3)*(-116 + 4*s + 116) as b + w*s + j*s**2 and give j.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -19*a + 41. Let d be o(2). Factor -4\/17*l**d + 4\/17*l - 2\/17*l**4 + 2\/17 + 0*l**2.\nAnswer: -2*(l - 1)*(l + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 2 - 4 - 10*n + 2*n. Let q(j) = 2*j**2 - 7*j - 1. Suppose 43*l + 15 = 38*l. Let k(m) = l*x(m) + 4*q(m). What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 2:47 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 500160 and 180266?\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -3*t, -t + 8 = u - 1. Let h = u - 10. Suppose -h*v - 2 = 24. Which is bigger: v or -57\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2137 + -1757. Does 25 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6*f + 21. Which is the nearest to 1? (a) f (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7785365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 31*m + 2. Let n be h(-5). Find the third derivative of -17625 - 27*o**2 + 17625 - n*o**3 wrt o.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j - 19322 - 19191 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 3*c)*(-6236 - 2661 - 4295 + 1597).\nAnswer: -23190*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 51 in -1\/5, 19, -44, 4, 4\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00198286 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23 and 9957?\nAnswer: 229011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2. Let z(s) = s**2 - 2*s + 2. Let f(j) = -j**2 + j - 1. Let t(m) = 2*f(m) + z(m). Determine p(t(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-9))\/(-2)*30\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 20. Let n be r\/(-56)*(-3)\/(-2). Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 387559 - -469?\nAnswer: 388028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 687 + 10833. Suppose 0 = 32*f - 50*f + b. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f + 513*f**2 - 8*f - 514*f**2 + 6*f - 5. Calculate p(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -508.\nAnswer: -3\/508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*p - 196 - 475 = -1089 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 7) + 5*1. Let j be (-3 + 17\/6)*y. Sort j, 5, 0.2.\nAnswer: j, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4824 and 6756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1849 + 1849 + 5006*x**3 + (x**2 - 3*x**2 + 0*x**2)*(-x + 0*x + 0*x).\nAnswer: 5008*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7898 = -3*w, 2*w + 2 = -2. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1413947 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130132310 (base 4) to base 12.\nAnswer: 57618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10258 + -10291.345. What is p rounded to 0 dps?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -1\/3, 87, 81, 0.5, 44?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.4037213 rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/14)\/((-1)\/172). Let k = 125 + q. Which is greater: k or 38?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, 21, -1, -31 in ascending order.\nAnswer: -31, -5, -1, 0, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**6\/100 - 2*p**5\/75 + p**4\/60 + 2*p**3\/15 + p**2 - 3*p. Let f(l) be the first derivative of j(l). Factor f(z).\nAnswer: -2*(z + 1)**2*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1221312?\nAnswer: -1221303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j + 25. Give z(-8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003480935 rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -3*y, y - 5*y = -4*a - 4. Let r = 9325\/252 - 334\/9. Are a and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -31. Suppose 4*a - 3*r + 41 = 0, 3*a + 2*r - 4*r = -31. Let x = n - a. What is the greatest common divisor of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5438 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 38, 84, 148, 230?\n\"Answer: 9*x**2 + x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 14 = 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-8)*8\/(-3). Let w = -1 - -0.6. Put w, 5\/2, f in decreasing order.\nAnswer: 5\/2, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 + 4*x + 15 - 5*x. Suppose 2*r - h = 25, 2*r - 61 = 5*h - 16. Calculate d(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15040 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9868 + 9867.9991718. Round h to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27130723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68.99929 + -69. Round s to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60069 at least as big as 60031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 9*o + 3. Suppose -2*a = 4*q + 38, 0*q + 5*q + 61 = -4*a. Let p be (a\/(-6))\/(1\/(-6)). Let j be u(p). Solve -5*m - j = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-175)*(-5)\/(-9) - 7\/((-630)\/388).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84081.\nAnswer: 3, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - -4) - (-1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-1 + (22 - 22))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 64*j - 1. Let m(b) = -32*b. Let d(t) = -27*t. Let v(u) = 6*d(u) - 5*m(u). What is v(o(n))?\nAnswer: -128*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1776978*u**3 + 202*u + 6929?\nAnswer: 10661868*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -44072*u + 1046. Give n(0).\nAnswer: 1046","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 57\/5, -3\/104, 1, 0.02, -2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 3\/5, -2\/17, 1, -13 in decreasing order.\nAnswer: 1, 3\/5, -2\/17, -1\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3070? (a) -0.3 (b) -0.17 (c) -6 (d) 4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 - 808647?\nAnswer: -808745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 43*w**2. Let p(n) = -32*n + 2. What is t(p(c))?\nAnswer: 44032*c**2 - 5504*c + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 93?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/6 + 4\/3. Let s be w\/2 + (-262)\/(-4). Let y = s + 11. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k**2 - 2. Let n(s) = 23*s**2 + 3. Determine 4*n(f) + 7*y(f).\nAnswer: 8*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/5, -4\/9, 0 in descending order.\nAnswer: 2\/5, 0.3, 0, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 - 5*n + 108. Let u be r(6). Solve 16*v - u*v - 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -12 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*sqrt(70))\/sqrt(10).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482363857 to the nearest integer?\nAnswer: 21963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 6 - 2*z + 11*z**2 - 9*z**2 as i*z + b*z**2 + v and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 83. Let j = -8.46980273 - 37.53019834. Let z = j - k. What is z rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -239\/55509 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = p - 1, -2 - 6 = p + 2*q. Let u(f) = 2*f**2 - 18. Let s(x) = 1. Let y(r) = p*u(r) - 36*s(r). Find t, given that y(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3362 - 6108. Let y = -1631 - z. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 735*d - 747*d = -36. Solve -o - d*o = 3*a - 20, -5*a + 25 = 5*o for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2127791 divided by -3\nAnswer: 2127791\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 440299.8844.\nAnswer: 440295.8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -5*q - 3*c - 3, 0 = 5*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 56*s**3 - 6*s + 5*s - 60*s**3 as d*s**2 + t*s + c*s**3 + v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*((sqrt(400)\/(sqrt(8) + sqrt(128)) + (sqrt(150)*-1 + sqrt(150))\/sqrt(3))\/((sqrt(10) + sqrt(60)\/(2*sqrt(6)))*1))**2.\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -17, 0.5, -5027?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23897 + 14620 = 2372*t - 8923 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6684 less than 2270630?\nAnswer: 2270631.6684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor -30*x**2 + 29\/2*x - 1.\nAnswer: -(5*x - 2)*(12*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2212 is divided by 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262653 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let x(m) = -32*m - 6*m**3 - 4*m**2 + 1116 - 1116 + 28*m. Let b(y) = 5*y**3 + 3*y**2 + 3*y - 1. Determine k*x(p) - 4*b(p).\nAnswer: -2*p**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -86\/3 at least as big as -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0*u = f + 9, 2*u - 12 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 17. Let v = m - 17.00009. What is v rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 2*n**2 - 2*n**2)*((3 + 4 - 6)*(-4*n + n + n) + n + 2*n - 2*n + 0*n + n + n)*(-1 + 1 - n).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/250 and (-3*76\/150)\/5?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17479 (base 12) to base 11\nAnswer: 23196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499818?\nAnswer: 2, 311, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 14 = 2*n. Let f = 102 + -388. Let h = 284 + f. What is the nearest to -1 in n, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 1\/4, 0.2, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 2*q + 18, 3*h = -0*h + 3*q - 18 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -149*k**3 - k**2 + 2*k + 1. Let p be h(-2). Suppose -c = 4*c - p. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111202 + 221021?\nAnswer: 102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 2*m - 8*m. Let r = m + 8. Let g(p) = p**3 - 7*p**2 - 9*p + 7. Determine g(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4*p + 1 = -2, 2*p = -2*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/4 - -12. Let i = -2.8 + 3. Let v = 3 + -4. What is the second smallest value in l, i, v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353272 is divided by 951?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -238, -848, -2128, -4414, -8042?\n\"Answer: -56*y**3 + y**2 - 221*y + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, 182\/9?\nAnswer: 182\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i. Let g(q) = -q + 6. Let z(x) = -x + 5. Let m(s) = -5*g(s) + 6*z(s). Give m(f(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/5208 and 101\/40548?\nAnswer: 567672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0, 1, -2 in ascending order.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263 (base 9) to base 8.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(2 - 1) - -5. Let z = -1147 + 1147. Suppose z = -2*l + s - 17, 4*s - 6*s - q = 3*l. Let o(j) = j**3 + 7*j**2 + 5*j - 3. Give o(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1095655.74 - -1095692.74000096. Let a = -37 + z. Round a to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136548.555 take away 5?\nAnswer: 136543.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 3*x - 10. Let u be r(5). Let q = 37 + u. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose z*h - 3*g = 116, 2*g = h - 49 - 9. Let l = h + -408\/7. Is l less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.032 (b) 2\/72495 (c) -0.1 (d) -2\/7 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5)\/((-5)\/1549))\/1?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2896837 - 5704243 = 81*k - 265*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**3 - s**3 - 2*s**3 + (2 - 2 - 2*s**2)*(4*s - 2*s - 5*s) - 6*s**3 + 0*s**3 - 6*s**3 + 3*s**3 + 35*s - 35*s.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 23 = 5*g + 8, 3*g - 3*s = 0. Calculate the highest common divisor of g and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21*m**3 - 5*m**2 + 13*m + 13. Let g(r) = 10*r**3 + 2*r**2 - 6*r - 6. Let z(t) = -13*g(t) - 6*u(t). Factor z(a).\nAnswer: -4*a**2*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91809, 91808, 91807, 91806?\nAnswer: 91805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/(-1 + 6) - 6\/2. Let v be ((-1)\/12)\/(a\/(-15)). Is v greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 + 18. Let m = 7 + w. Let f = 5 + m. What is the second biggest value in f, -0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 + -1 - (393 + -389)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1198, 0.05, 32?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193753 is divided by 96662?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, -1\/2, 791 in ascending order.\nAnswer: -1\/2, 4\/5, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(18\/5)*g*g))**(19\/5))**(-2\/63) assuming g is positive.\nAnswer: g**(874\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.80847 + -0.8456. Round u to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - p - 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3860 is divided by 166?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23559 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by 374.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 80 + 201?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, 2\/7, 4, 6\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40.75336 and -36.987.\nAnswer: 3.76636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 4 = -4. Solve i = -3*f + 2 + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -25, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 16, 1, -1, 0.179, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-48)*(-2)\/(-180)*-3.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2889, -5775, -8661?\n\"Answer: -2886*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -0.14, 27, 15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 20*y + 4 + 8*y**2 - 4 + 7721228*y**3 - 7721224*y**3.\nAnswer: 4*y**3 + 8*y**2 - 20*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*889070\/3908?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 6*f + 8. Let p be m(5). Let w(t) = t**2 + 0*t**3 - p*t**3 + 4*t - 3*t + 7*t**3. Give w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -2\/4227?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/60 + 7*c**5\/30 + c**4\/4 - 5*c**3\/3 - 11*c**2. Let s be g(-8). Round s to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v**2 + 2873*v - 26. Let d(z) = -24*z**2 + 5742*z - 48. Give 11*b(a) - 6*d(a).\nAnswer: a**2 - 2849*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2826793496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/11 - 15\/44. Let m = 0.172 - 0.18. Let c = m + 0.108. What is the closest to c in 1\/4, 4\/9, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from {q: 2, o: 4, u: 1, d: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - -19. Suppose -4*p = 4*l - 124, -l = -p - p + f. Let k be 2 - (1 - 2)\/1. Calculate the greatest common factor of p and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-183)\/(-488) + (-2 - 6554\/(-16))?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 11:24 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -757, -1567, -2377, -3187, -3997?\n\"Answer: -810*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11170830*q - 177652790.\nAnswer: -11170830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 727 divided by 2.\nAnswer: 727\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**10\/u)\/u)\/(u*u\/(u**(1\/7)*u*u)))\/((u\/(u*u**10\/u)*u)\/u*u**(8\/3)) assuming u is positive.\nAnswer: u**(304\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4114800 and 6823710?\nAnswer: 818845200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 10*r**2 - 14*r - 3. Let l be c(8). What is the greatest common factor of l and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (32 - 71)) + -38\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/69*(-35826)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -493, -517, -541, -565, -589?\nAnswer: -613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**3 + g**2 + 2*g - 3. Let i be d(1). Calculate the greatest common divisor of 72 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1331, 5460, 12463, 22328, 35043, 50596, 68975?\nAnswer: 90168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 + m**2 - 2*m - 12. What is x(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away -0.020912978?\nAnswer: 15.020912978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -4\/5, 5, 0.03, -290\/7, -220, -0.3?\nAnswer: -290\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178506.25 - 3166817.\nAnswer: -2988310.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 35. Calculate the remainder when 36 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**6\/75 + 23*b**5\/25 + 3*b**4\/2 + 22*b. Solve p(d) = 0.\nAnswer: -45, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2. Let h(k) = -2*k + k + 2*k**2 + 0*k. Let m(r) = r**2 + 5*r - 2*r**2 - 3*r - r. Let y(d) = -5*h(d) - 5*m(d). Determine b(y(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 130021218499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 37 = -5*l, 4*l + 17 = -0*s - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/8855*-437 - (-1)\/(-7). Factor 8\/5*x**2 - 2*x**3 + 0 + v*x**4 + 0*x.\nAnswer: 2*x**2*(x - 4)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3 + 5. Suppose 0 = 8*f - 9*f - 4*m + 1108, -5*f + g*m = -5516. List the prime factors of f.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1255\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 5*h**2 + 7*h - 4. Suppose 20 = 4*n + d, n + 9*d = 4*d - 14. Let q be v(n). Suppose q*c = -67 + 681. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 712913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 2*c**6\/15 - 3*c**5\/5 + c**4\/3 + 2*c**3 - 4*c**2 - c. Find l such that o(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -107, -103, -99?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004462159 to 7 dps.\nAnswer: -0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 + -2)\/((-7)\/21)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-2\/3)*f)**(-1\/10)\/(f**(-4)*f*f*f*f*f\/f**(-1)*f*f))**(2\/65))**(-43) assuming f is positive.\nAnswer: f**(5332\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*o = 662 - 50, -5*b + 4*o = 1548. Let u = 1077 + b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/8876, 0.10058?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -48. Suppose h + w = 27, 0 = 3*h - w - 2*w - 57. Let s = h - o. What is the remainder when 25 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 4. Suppose 0 = 4*x - 10*x. Suppose -10*b + 11*b - 1 = -w, -4*w + 3*b - 3 = x. Solve w = 2*r + i + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -3*x. Let r(a) = 14061*a. Calculate r(o(k)).\nAnswer: -42183*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -4*y, 7*o - 19 = 3*o - 5*y. What is the nearest to o in -3, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11021 + -111110?\nAnswer: -100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0 - l**2 + 0*l**2 + 2 + l + 7*l. Let g be s(6). Let u be (-14)\/(4 + 13 + -18). Calculate the greatest common factor of g and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36488, 2, 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -25*d - 102. Let g be v(4). Let f = -170 - g. What is the highest common divisor of 448 and f?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 3*h. Let j be (-1 - 1)*-1*2. Which is the closest to 0? (a) -3 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1211\/4 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 5 = 0, -3*q - 5907 = -3*c. Round c to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**24\/o)\/o**(-1\/2))\/(o**(-1\/5)*o*o**14) assuming o is positive.\nAnswer: o**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, d: 3, c: 1, g: 1, f: 2, q: 1}. Give prob of sequence dqqc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and -163.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**2 - 1690. Let d(o) = -317*o**2. Calculate d(c(k)).\nAnswer: -1268*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -79026\/7055 - -2\/1411. Let q be 40*1*((-1)\/4)\/(-1). What is the common denominator of (q\/5)\/((-53)\/(-16)) and a?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(32 + 8)*-6\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.5195t in kilograms?\nAnswer: 25519.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-780)\/(-91) + -7 - (-1)\/(-1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1098896 is divided by 35400?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -402656 in increasing order.\nAnswer: -402656, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17217284, -17217285, -17217286?\n\"Answer: -m - 17217283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.3 + -2.08. Let r = 2.12 - n. Let o = 0.9 - r. Sort o, 4, 0 in decreasing order.\nAnswer: 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 23*r = 16*r - 36. Is -110\/13 at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886556 is divided by 886347?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1197*u**2. Let t(p) be the first derivative of p**2\/2 - 742. Calculate q(t(b)).\nAnswer: 1197*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 710.3521um?\nAnswer: 0.0000007103521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**4 - 877132*x**3 - 48103010412*x**2 - 1970784315844*x - 1922682182560 = 0. Calculate x.\nAnswer: -109621, -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 10*i + 190. What is u(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 368\/144 - 8\/(-18). Suppose -h = -5*q + 4, 4*q - r*h = -14 + 15. Factor -q - 1\/2*p**2 + 3\/2*p.\nAnswer: -(p - 2)*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 5. Let s be v(8). Suppose d = 4*q + 65, 3*d - 38 = 3*q + s. Let m = q - -17. Put 2, -3, m in descending order.\nAnswer: 2, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 f when three letters picked without replacement from efvfveveeeevmvvfveem?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3770 divide 1347305785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86949 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124 (base 5) to base 3.\nAnswer: 101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1686 divided by -2.\nAnswer: -843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 12. What is the common denominator of -4\/11 and (-155)\/p - 2\/4?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 + 2*q**2 + q**2)*(2 - 2 + 1 + (3 + 0 - 1)*(-1 + 6 - 3) + 0 + 0 - 2) + 6*q**2 - q**2 + 0*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 43 = -47. Let r be 0 + 8 + g + -21. Find the third derivative of 2*x**4 - x**2 - x**4 - 33*x**2 - r*x**4 wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1054589?\nAnswer: 31, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3*j**2 + 25 - 38 - j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**1\/o)\/o)\/o*o*o)**(-17)*o**(-2)\/o**(2\/3)*(o*(o**(-6\/7)\/o)\/o*o\/o**1*o)**(-1\/51) assuming o is positive.\nAnswer: o**(-7015\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*v - 2*v - 8, r = -4*v + 17. Let l = 8 - 29. What is the remainder when -2*9\/l*56 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -148993645.\nAnswer: 148993633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 - 6) + 6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -10. Let z = t + 12. Which is the second smallest value? (a) -2 (b) 2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1469 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 z when four letters picked without replacement from czzcczczzcczz?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 609 and 223909?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**2 - n + 26. Let s(v) = 7*v**2 - 12. Let x(o) = -3*h(o) - 7*s(o). Suppose 19 = 5*t + 2*g, 20 = 3*t - 2*t - 5*g. Give x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 46*i**2 - 91*i + 130. Let f be g(44). Let h be (36 + f)*(-7)\/(-14). Solve -15*q + h*q = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 0*b - 16 = -3*x, 2*x - 10 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2334424.\nAnswer: 2, 31, 9413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 1739.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-687)\/7786*136\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 + 30*w**2 + 13*w - 13. Let z be n(-14). Let g = 1111 + z. List the prime factors of g.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*v*w**4 - 566*v - 23*w + 5 with respect to w.\nAnswer: -80*v*w**3 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 1 + 3. Sort -2, i, 5 in decreasing order.\nAnswer: 5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -3*x**2 + 0*x - 1\/3*x**4 + 1\/60*x**5 + 7\/6*x**3 + 0. Is u(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3 + 1444*w**2 - 84384*w + 82944 = 0.\nAnswer: 1, 72, 288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 7:14 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 129196 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 3. Let g be (-194)\/(-5) - 7258\/191. Sort -1, k, g in decreasing order.\nAnswer: g, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3. Let o be t(1). What is the common denominator of 4 + (o\/4)\/((-1)\/(-5)) and 55\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 217880*q**2 + 2615100*q + 7845840.\nAnswer: -5*(q - 43588)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueku when four letters picked without replacement from yykvvuque?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 5*c**4\/24 - 13*c**3\/3 + 2*c**2 - 184. Let z(v) = 3*v - 27. Let r be z(11). Determine g(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -3*d + 5*t + 17, -3*d - 18 = 4*t. Let v = d - -9. Let f = -26 - -31. What is the lowest common multiple of f and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52288 + -52286. Solve 9\/4*y + 1\/2*y**2 - d*y**3 - 3\/2*y**4 - 1\/4*y**5 + 1 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 1 - 2. Suppose -w = -x + 8. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 139 in -10, 1, -3\/5, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 477*l - 11674 + 2721 = 2495 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-3)*(-2 + -1). Suppose -3 - q = l. Let i be 10\/(-6)*1\/l. What is the smallest value in i, -3\/5, -0.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*q - 21, -1 = -5*q - u - 2. Let j be (q\/2)\/((-1)\/(-12)). Let i(o) = -10*o + 7. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*u - 3*h - 16, -5*u + 59 = h. Calculate the highest common factor of 48 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = -709 + 730. Solve -b*h - 12 = -5*t, t - 5 = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 0. Let g(a) = 0 - 8*a**2 + m - 2*a + 4*a. Let q be g(-1). Which is greater: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66140783?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1746, -3397, -5052, -6711, -8374?\n\"Answer: -2*o**2 - 1645*o - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14255 + 14255 + 617*c)*(-2*c**3 + 3 - 3 + 3*c**2).\nAnswer: -1234*c**4 + 1851*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*(940\/(-150) - -6). Put a, 2\/15, 0.56 in descending order.\nAnswer: 0.56, 2\/15, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)\/b*b)\/(b**(-1)\/b))\/((b*b**5)\/b**0))\/((b\/((b\/b**(-1\/2))\/b*b))**(-1\/33))**(-1\/4) assuming b is positive.\nAnswer: b**(-989\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-430*f - 380*f + 693*f)*(0*f + 3*f + 2*f)*(-2*f + 5*f - 2*f) to the form s*f**2 + t*f + a*f**3 + g and give a.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 - 2297.\nAnswer: -2297.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1488839132*a - 700816709.\nAnswer: -1488839132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 - (-176 - -241)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 minus -1.65?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 13*f**2 + 13*f + 16. Let z be y(-12). Find the second derivative of -5*s - 2*s + z*s - s**3 wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*14\/735*6\/8*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29860.\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {o: 1, g: 2, h: 3, w: 1, r: 4, k: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 62440829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 42 + 30 = 0. List the prime factors of (-6)\/m*492\/9.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 244615.\nAnswer: -26907.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4407 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 808073753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -6 (c) -1\/576\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 2 = -23. Suppose -o*r = 2*r - 20. Solve 11 = -r*s - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1944 and 109\/972.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(-1\/13)*k**(-5\/6)*k**(-1\/7)*(k**(3\/13)\/k**(-2\/47))**29 assuming k is positive.\nAnswer: k**(176381\/25662)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*10\/(-720))\/(1\/1)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2216 - 2203 + 17*t**2 - t - 4*t**2 to the form p*t**2 + v + f*t and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**4\/3 + 77476*d**3 + 14*d**2 - 4880948*d\/3 - 1549520 = 0.\nAnswer: -4, -1, 5, 116214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 - 5)*(-19 + 3 + 11)*(-4 + 2 + 1)*(-3 + c + 3)*(c**2 - 3 + 3 - 2) in the form b*c + r*c**2 + a + f*c**3 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/560 - i**6\/60 + i**5\/10 + 6*i**2. Let h(n) be the third derivative of t(n). Differentiate h(w) with respect to w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*t**2 + 23 - 64*t**2 + 80 - 23 as g + c*t + o*t**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32 + -42140\nAnswer: -42172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddddmddmdmmmdddd. What is prob of picking 1 d and 3 m?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.532 + -3.532. Which is the third smallest value? (a) 0.165 (b) y (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1226, -1788, -2360, -2948, -3558?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/2, 0, -23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1968 (b) -0.13 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1247 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.105 + -44.105. Which is the biggest value? (a) p (b) 5 (c) -1\/4 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -9, 1, 4 in decreasing order.\nAnswer: 4, 1, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -331.8949338 rounded to three dps?\nAnswer: -331.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 6 + 6)*(-g + 2*g - 2*g)*(-1 - 11 + 1).\nAnswer: -44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -170, -387, -692, -1085, -1566, -2135?\nAnswer: -2792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568.64053 rounded to the nearest ten?\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4987650 and 90?\nAnswer: 14962950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*l - 2 + (1 - 4 + 2)*(2 - l - 2))*(2*l + 0*l - l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89340\/(-23407080))\/((-2)\/((-16)\/(-2)))?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/15*(-34125)\/(-11550)?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 457 - 344. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 41*u**2 + 41*u**2 - 142*u**2 + 59*u**2. Let c be (2\/(-4))\/((-5)\/50). Let m(a) = -1. Let f(d) = 10*d - 5. Let v(n) = c*m(n) - f(n). Determine v(k(l)).\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2049 millennia in years?\nAnswer: 22204.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, 1\/7, -0.036, -2\/13 in ascending order.\nAnswer: -2\/13, -0.036, 0, 1\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3905 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 47. Suppose -j = -0*z - 4*z. Calculate the remainder when 26 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61184237 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g + 5*j, 0 = 3*g - 2*j - 3*j - 17. Suppose -988*s + 992*s + 84 = -4*v, -2*s - 4*v - 40 = 0. Put -1, s, g, 0 in descending order.\nAnswer: g, 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.23 (c) -8 (d) -27 (e) -4 (f) -221\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*f*h**2 - 3*f*h + 7*f - 3*h**2 + 1 wrt h?\nAnswer: -92*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 10*j**2 - 25*j - 26. Let o be y(4). Solve 24*x = o*x + 60 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/3*3*(-24)\/20. Factor -39*a + 5*a**2 + 90 + t*a**2 - 14*a**2 + 6*a**2.\nAnswer: 3*(a - 10)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -5*d + 6576 - 6640, -r - r = 3*d + 16 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + (8362 - (-5 + 4 + 0)). Let d(l) = -147*l**2 + 7*l - 8. Let n be d(-6). Let q = r + n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.97 * -69724.\nAnswer: -1043768.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/2)\/(-35 + 25). Which is bigger: -9848 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 485\/7 in -14, 4, -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 2*w - 3. Let x be y(-2). Let n = 26 - x. Suppose -f + 3*f - n*d = 213, -2*f = -d - 217. Calculate the remainder when f is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 27 = g, -5*u + 27 = -2*u - 2*g. Let t(a) = -11 - 11*a + u*a - 27 + 8. Let x(n) = -n - n - 149 + 149. Determine t(x(j)).\nAnswer: 4*j - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 + 0*p**2 - 6*p**2)*(0 + 0 - p) + (0*p + 0*p - 6*p)*(p**2 + 10*p**2 - 4*p**2) + 15*p**2 - 15*p**2 + 7*p**3 - 34*p**2 - 12*p**3 + 34*p**2.\nAnswer: -45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 4*h**2 - 7*h - 4. Let o(i) = i**3 + 4*i**2 - 8*i - 5. Let x(a) = -4*l(a) + 3*o(a). Determine x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**3 + 4*w + 4*w**2 - w**4 + 20*w**3 - 2 - 3*w to s*w + h*w**3 + q*w**2 + m*w**4 + t and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 718648968 a multiple of 201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1618 divided by 646.\nAnswer: 809\/323","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - -1 - 6 - (3 - 7). Is -5*((-54)\/30)\/j + 29272 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -7 - 14. Suppose 6*b = u*b - 6. Let m be 3 + (0\/(-5))\/b. Solve 4 + m = 2*i - 3*o, 5*i + 10 = 2*o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 33 = -373 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5227 + -5222.382. Let u = 2.89 - k. Let s = u + 1.8. What is s rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cigp when four letters picked without replacement from {w: 1, g: 2, x: 1, c: 1, p: 1, i: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-640)\/(-300) + 8\/(-60). Let 2\/7*k - 2\/7*k**d + 4\/7 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*j**3 - 23*j + 23*j + (3*j - 5*j + j)*(j - j - j**2) + (5*j - 2*j - 5*j)*(-2 + 2 + 2*j**2).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * 200.9.\nAnswer: 38.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100010101000010010101101 - -11?\nAnswer: -111100010101000010010101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and -220290599080?\nAnswer: 220290599080.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.34 + 1.222. Let t = 0.21132 - 0.0917. Let w = c + t. What is w rounded to 4 decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**2*w**3*y + 2*c**2*w**2*y**3 - 23*c**2*y**2 - 1183*c*w**3*y**3 - 4*c*y**2 - w**2 wrt y?\nAnswer: 12*c**2*w**2 - 7098*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 - (16 - (-18 + 23))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-28) - (-1)\/4. Let w(v) = 2*v + 44. Does 11 divide w(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 8*f**2 - 9*f + 3. Determine z(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6501\/715 + -9)\/(((-8)\/10)\/(-4))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40719298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 6*y - 7. Give v(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, 552, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -7*n**4\/12 + 9*n**2. Determine k(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/2)\/z*z)\/z*z**8*z)**44*((z*(z*z\/((z*z*z*z\/(z**(-2)*z))\/z))\/z*z)\/(z\/(z\/z**(-3\/4))))\/(z*z*z*z**3\/z*z*z*z**(3\/2)) assuming z is positive.\nAnswer: z**(1285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5 + sqrt(15)\/sqrt(5)).\nAnswer: -5 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-165))\/((-5)\/(-50)*-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4 + 26\/8. Let f(k) = k**2 + 9*k + 4. Let u be f(-9). Solve -l + 0*l + 5*a = i, 4*l - u*a = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3674, -4265, -4856, -5447, -6038, -6629?\n\"Answer: -591*h - 3083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3319.\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1452*y**2 - 77*y - 2. Let l be i(4). Let b = l - -33619. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (3 - -4)) + 5 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 3 - 20*j**2 - 2 + 0 + 28*j**2 to v*j**2 + h + r*j and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -77750 (base 12) to base 8\nAnswer: -465154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/30588 and 62\/38235.\nAnswer: 152940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**3 - 9*m**2 - 3*m + 10. Let c(n) = -7*n**3 - 9*n**2 - 2*n + 10. Let u(v) = 4*c(v) - 3*t(v). Let a be u(-9). Solve 2*z + a = -5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.4 (c) -2\/7 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 2*y**3 - 108*y + 2 - y**4 + 107*y to the form p + q*y**3 + x*y**4 + z*y**2 + u*y and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*g - 94, -8*g + 512 = 5*b - 4*g. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 - 2*j + 1. Let k(x) = -2*x**2 - 2*x. Suppose -997 - 623 = 9*z. Let v be ((-19)\/4 - 0) + (-135)\/z. Determine v*k(n) + 3*q(n).\nAnswer: -n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156366797 is divided by 9070?\nAnswer: 9067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/(-6))\/((-1)\/6). Suppose 6*r - i = 4*r. Suppose -b + 9*g - 13 = 4*g, -r*g = b - 17. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2692137? (a) 0.1 (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134017487, -134017489, -134017491?\nAnswer: -134017493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 156831, 156821, 156813, 156807, 156803, 156801, 156801?\n\"Answer: j**2 - 13*j + 156843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -43 - (6 + -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwkwvvvwkvw. What is prob of picking 1 w and 1 v?\nAnswer: 25\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(1\/2))**(-33)*i**(-3)\/((((i*(i*i**(-4)*i)\/i*i)\/i)\/i)\/i)*(i**(-1)\/i)**(-50)*(i**(2\/7))**47 assuming i is positive.\nAnswer: i**(909\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -122022 (base 3) in base 11?\nAnswer: -395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 96348.\nAnswer: 96348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z - 15 = 0. Suppose 0*h + 185 = z*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -493 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 = 3*m - 5*j, 0 = 3*j. Suppose 3*x - 8*g - 217 = -m*g, 4*x - 280 = 4*g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15158 - 7735. Suppose -y = -12*j + 6341. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327397?\nAnswer: 7, 46771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1314918498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24.004 + 0.004. Let n = w + 23.5. Sort n, 1\/3, -0.05 in decreasing order.\nAnswer: 1\/3, -0.05, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 9*g = -8*g - 1773, 3*g = -2*v + 899. What are the prime factors of v?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -599 and -6183.\nAnswer: 3703617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s + s + 4*s**2 - 7*s - 3*s**2 - 3. Let a(h) be the first derivative of h**2\/2 - 6*h + 4. Let n be a(12). Give q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/12*((-1)\/2)\/(52\/78).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110358 less than 207434?\nAnswer: 317792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(20)\/((-2*sqrt(8))\/sqrt(2)).\nAnswer: -3 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -2\/15 (b) -2\/9 (c) 0 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2. Let j(v) = -v**2. Let i(m) = -322*m**2. Let w(b) = i(b) - 276*j(b). Determine s(w(u)).\nAnswer: 8464*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2450\/44543 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133732747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/9)\/(2\/(-9)). Suppose 3*f = r*y - 15, -5*f = 4*y + 24 - 8. Suppose -4*i = y + 7. Which is the closest to i? (a) 5 (b) 2 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*p + 109 = -n, 3*p = -12. What are the prime factors of n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from {c: 6, j: 1, a: 8}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ecip when four letters picked without replacement from {c: 1, e: 1, p: 5, i: 7}.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10 - -6) + (-14 - -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 25. Suppose 0 = o - 2*a + 8, 5*a = -o - 1 + n. Let l(u) = -69*u**3 + 5*u**2 + 2*u + 3. Is l(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/1598 - -2684679\/20774. Let c = 129 - a. Which is smaller: c or -0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350 - 53 - 87 + 9*x.\nAnswer: 9*x - 490","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 3 + 32*w to the form g + z*w and give z.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 620*s**4 - 50195*s**3\/3 - 785*s**2\/3 + 990*s = 0.\nAnswer: -1\/4, 0, 22\/93, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**3\/6 + n. Let r be h(7). Let w = r - -2. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 9*n + 10. Let t be j(-10). Let q = 639 - t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**30)*j*j*j*j**(-29))\/((j*j\/(j\/(j\/(j**(6\/17)*j*j)))*j)\/(j*j**(2\/17)\/j*j)) assuming j is positive.\nAnswer: j**(-944\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clcc when four letters picked without replacement from {c: 10, l: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*c**6 + 69046*c**3 - c**2 + 11337168*c - 1.\nAnswer: -7080*c**3 + 414276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202022220 - 1012110?\nAnswer: 2201010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*(-15)\/48\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 477*v - 472*v + 25. Let z = 7 - 3. Suppose -4*b - u = -b - 35, 0 = -b - z*u + 8. Sort v, b, 3 in descending order.\nAnswer: b, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*l**2*z - 88726*l**2 + 7*l*z + 19476*l + 2*z + 5 wrt l?\nAnswer: -164*z - 177452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 21*r - 339. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 776951800 to the nearest 1000000.\nAnswer: 777000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 15*n**2 - 25*n + 1. Let i = 428 - 444. What are the prime factors of w(i)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -46, -87, -150, -241, -366, -531?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 5:00 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 q when four letters picked without replacement from {d: 1, q: 18}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 8 + 15)*(-z + 2 - 2 + z - z - 2*z + (1 - 1 - 2)*(z + 5 - 5) - 2*z - z + 2*z - 2 + 2 - z - 3*z + 2 - 2 + 5*z - 4*z + z - 3).\nAnswer: 40*z + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:41 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117.8752 and -0.14.\nAnswer: 16.502528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -203 - -228. Let g(s) = -s**3 - 3*s**2 + s + 3. Let v be g(-4). Solve 2*o = -3*o + z - c, 3*z - v = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37783 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 65*n**5\/6 - 8965*n**4\/6 - 4580*n**3 = 0.\nAnswer: -3, 0, 1832\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 23*t + 15. Let h(l) = 6*l**2 - 3. Let b be h(2). Does 13 divide c(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5 = -7*d + 9*d, 0 = 5*d - o + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108359245?\nAnswer: 5, 1427, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-10) - 11\/(-22).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7688.663 micrometers to nanometers.\nAnswer: 7688663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3344 - 3346. Sort 82, 0, c, -5.\nAnswer: -5, c, 0, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 93 - -250?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + r + 11379986 = 2*y, 0 = -y - 5*r + 11379998. Suppose -2*p + 19545604 = -4*f - 3214390, -2*f + 4*p = y. Round f to the nearest 100000.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 - -302. Suppose 276 = 3*i + 3*y, 0*i - w = -i + 2*y. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -605558 + 41781937\/69. Let a = -8\/23 - m. What is the common denominator of a and -50\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 315259864?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/1 + (-9 + 108\/9)*2. Let f(p) = 4*p**2 - 2*p + 5. Let y be f(7). What is the greatest common factor of k and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 2*h + h)*((-3 + 2 + 2)*(-2 - h + 2) - 3*h + 2 - 2 - h + h - 2*h) to the form v + z*h + y*h**2 and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 6*d**2 + d - 47. Determine p(6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/181 in -2\/5, -2\/41, 2\/5, 12?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 + (-263)\/(-660). Let y = h + -3517\/1980. Find the common denominator of 11\/7 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183156.\nAnswer: 2, 3, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12091 + 16929. What are the prime factors of y?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/22? (a) -2 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16ea + -40?\nAnswer: 16aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/120*2*80. Solve 0 = 21*z - 9*z - m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - -6)\/((-3)\/(-2)). Suppose -x = y*x. Suppose 3*j**3 + x*j**2 - 5*j**2 - 6*j + 2*j**2 = 0. Calculate j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76106.68l?\nAnswer: 76106680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0. Let j = -0.1 - u. Let p = 1 + -3. Which is the second biggest value? (a) j (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(50) - sqrt(50))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.241, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/90*1205\/(-723).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 6 - 6)*(2*l**2 + 3*l**2 - 6*l**2)*(-2*l + l + 0*l) in the form k*l**2 + w*l + y + j*l**3 and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, x: 4, u: 6}. What is prob of sequence xz?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2808776637 to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m - 25 = 0, -3*q + 5*m + 268 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, y: 1, q: 2, h: 1, n: 3, l: 2}. What is prob of picking 1 l, 1 n, 1 h, and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (-12 + 2)) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1665*b - 6*b**3 - 4146*b + 2011*b.\nAnswer: -6*b**3 - 470*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32290039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3178591\/75 - -42382. Calculate the common denominator of q and 38\/27.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/11075?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/20378 + 40771\/101890. Factor b*g**2 - 6\/5*g - 8\/5.\nAnswer: 2*(g - 4)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.5 - 9. Let o = -3.5 - x. Let n be ((-2)\/12)\/((-1)\/(-4)). Which is the nearest to n? (a) 3 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 9. Let n be g(4). Let z be ((-4)\/(-6))\/(6\/45). Suppose 3*p - 2*a + 1 + 7 = 0, -4*p = z*a - 20. Solve p*x = -3*l + x + 12, -n*x = l - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.0901, 1\/308, -0.06.\nAnswer: -1, -0.06, 1\/308, 0.0901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z**2 - z - 1. Let c be q(-1). Let m = c + -20. What is the greatest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 408.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8456273?\nAnswer: 7, 19, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 2*f**2 + 3*f + 6. Let o be a(-1). Solve -26 = 5*r + 2*c, -o*c = 7*r - 8*r + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyqyygyyyyyyyy. What is prob of picking 1 y and 1 g?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/m)**(-11)*m**(-1\/9)\/(m\/(m*m**(2\/3))))**(2\/69) assuming m is positive.\nAnswer: m**(274\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/(405\/(-162)) - 11405\/(-25). Is w not equal to 5940\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 11. Let k be r(-7). Suppose -2*t - 2*t + 33 = 3*g, 0 = -5*t - k*g + 39. Suppose -t*i + 0*i = 0. Solve i = 3*h - 6 - 9 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105381 is divided by 548.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 10:34 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 6*j + 15. Let y = j - 10. What is the third biggest value in -1, y, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 73, 105, 75, -47, -291?\n\"Answer: -5*x**3 - x**2 + 70*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 9*v - 10. Let l be p(8). Is (-22)\/l + 3 + -3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + c - 5)*(-6 - 36 + 7) + (1 - 1 - 1)*(-4 + 4 + c).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -258, -564, -894, -1260, -1674, -2148?\n\"Answer: -2*m**3 - 292*m + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -854 - 1055 - 1020 + 287 + 980*n wrt n?\nAnswer: 980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-22) - (-9158)\/209 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*r + 13, -5*j + j - 3*r = -65. Is (-12)\/j - 450\/(-35) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*b - 34 = -3*q, 5*q - 116 = -2*b. Let j be (3\/42)\/(6\/q). Factor 2\/7*h**2 - j*h**3 + 2\/7*h - 2\/7.\nAnswer: -2*(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/3*(-28)\/(-294)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 1\/2*w**2 - 1\/2*w**4 + 1\/6*w**3 + 0 + 1\/6*w**5 - 1\/3*w = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.95 - -4.05. Is q at least as big as 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 8. Let n be r(5). Let g = n - 79. Calculate the remainder when 25 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1 + (-43)\/(-41)). Let r(i) = i**3 + i**2 - 2*i - 83. Let y be r(0). Let l = n - y. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 + 5*n**2 + 4*n + 7. Let k(c) = -3*c**3 - 4*c**2 - 3*c - 6. Let f(j) = 5*k(j) + 4*l(j). Suppose -3*w = 2*w. What is f(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 408*u - 407*u - 47 = 4*z, -18 = u + z. Let s(q) be the first derivative of q**4\/4 + 5*q**3\/3 + 5*q + 1. Calculate s(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1237012 by -309253.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -7*w**3\/6 + 5*w**2\/2 - 12*w + 4. Let u(d) be the first derivative of x(d). Find the first derivative of u(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21826*k - 585 = 21835*k for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3350*a + 1176 + 14347 = 299*a - 61106 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -12. Let t be (-12)\/b*6\/4. Suppose -5*l + 3*z = 14, -1 = -z + 2. Let v(u) = -2*u. Let p(x) = -1. Give l*v(n) + t*p(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1252862, -1252845, -1252812, -1252757, -1252674, -1252557, -1252400, -1252197?\n\"Answer: a**3 + 2*a**2 + 4*a - 1252869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5 = 0, -4*z + 3*y = -101 + 4. Let v = 5 + z. Calculate the remainder when v is divided by (-468)\/(-30) - (-2)\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90 - 58. Suppose 0 = m + 3*m - i. Suppose -5*r + 28 = 2*h + m, 49 = 3*h - 2*r. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q**3)\/q)\/(q*q*q**(2\/13)*q*q))**(-8))**13)**(-45) assuming q is positive.\nAnswer: q**(-5400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -98*l**2 - 807*l - 5. Let z(o) = 99*o**2 + 807*o + 4. Let d(u) = 4*c(u) + 5*z(u). What is the second derivative of d(p) wrt p?\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 20*l**3 - 954*l**2 - 37440*l + 38400. Let x(s) = 3*s**3 - 159*s**2 - 6240*s + 6400. Let d(z) = 6*j(z) - 39*x(z). Factor d(t).\nAnswer: 3*(t - 1)*(t + 80)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -312 * -11.\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5 = -5*k + 18, 4*t + 8 = k. Let o be (t - (-5 - -2))*1. Let l be (1 - 0)\/((-2)\/(-10)). Solve -l*g + 3 = -o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0174 rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 12*s**4 + 16*s**3 + 12*s**2 - 14*s = 0. What is s?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1434 + -1434.000000939. Round v to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b48 (base 12) to base 7.\nAnswer: 63041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867003031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i - 49. Let p be u(-17). Let t(w) = -w - 9216*w**p + w + 9215*w**2. Let g(k) = 9*k. Give g(t(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 2*o - 84, z - 2*o - 44 = 0. Suppose -5*d + 0*l - 10 = -5*l, 0 = -2*d + 4*l. What is the units digit of 576\/z - d\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < -2420\/221?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 90965d (base 16) to base 8\nAnswer: 44113135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.3. Let b = 0.5 - z. Let n = -2 - -1.6. Sort 1\/4, n, b in ascending order.\nAnswer: n, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 3) + 6 - 2. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 40. List the prime factors of (-211225)\/(-136) - l\/(-40).\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -41, 1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.6 (b) 0 (c) -18\/44219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**3\/3 - 10*u**2 - 26*u + 3. Let f be v(-14). Solve f = 4*g - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 - 5*r**3\/6 + 6*r**2 + 4*r. Let u be p(-8). Does 13 divide (9\/u)\/(5\/(-260))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 684\/12*((-385)\/1806 + (-46)\/(-989)).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 9*q + 194, 48291*q - 48288*q - 304 = -4*f for f.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081985 at least as big as 7081986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 27 = 3*h, -h - 12 = -5*h. Suppose -p*q + 7*q = -8. What is the second derivative of n**4 - 9*n - 9*n**4 + q*n wrt n?\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-79)\/(-3) - (-2)\/(-3). Let x = r - -25. Is -1\/80 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/21*4\/98. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h + 2. Let v be l(-6). Suppose -p - 70 = -14. Let o = v - p. Solve -3*y = -o + 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -854 and -0.23.\nAnswer: 196.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3100802 is divided by 506.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 = -2*o, -3*m = 2*o + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**2\/5 + 695508*l\/5 + 5563104 = 0.\nAnswer: -231796, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -39118 divided by 77?\nAnswer: -39118\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -275, -1050, -2343, -4154, -6483?\nAnswer: -9330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 9*g. Suppose g = -0*u + 6*u + 420. Let q = 185 + u. What are the prime factors of q?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o - 4. Let n(h) = -16*h - 5. Calculate -3*n(y) + 4*x(y).\nAnswer: -12*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4465003 - -3?\nAnswer: -4465000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28703\/31450 - 72\/425. Calculate the common denominator of n and 1333\/110 - 10\/(-55).\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12130 + -1?\nAnswer: 12124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9*-3 - -8. Let i be (-6)\/15 + (-116)\/l. Let p be (2 - i\/(-5))*-10. Solve 8 = p*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 + -5c?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**3 - 2974909 + 5949823 - 4*x**3 - 2974914.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 + m + 3. Let j(a) = 1. Suppose 160*b - 97 = 63*b. Determine b*c(i) - 5*j(i).\nAnswer: -3*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*268.35441.\nAnswer: 134.177205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 1 + 1)*(5 - 2 - 2)*(-4*t + 2*t + 4*t)*(-270*t**2 - 62047*t + 62047*t) to the form p*t + f*t**2 + b + z*t**4 + i*t**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-17 + 17 + -17)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w + 2*w + 3*w + 10*w - 3 as s + m*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {v: 1, q: 1, i: 3, c: 1, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 2:27 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -14. Suppose 3*y - 4*n - 2 = c, 0 = 4*y - n - 15. What is the second derivative of y*v - 4*v**3 - 2*v - v**3 wrt v?\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(325)*2 - sqrt(325) - sqrt(325)) + -4*-1*sqrt(325))*-5 + -4)**2.\nAnswer: 4800*sqrt(13) + 130576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 14 + -21 + 3 + 1 - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/35991392 or 1?\nAnswer: -17\/35991392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82424921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4445*c - 9233*c - 12765*c + 2.\nAnswer: -26443*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1360920 < 0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 4:05 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 0. Let g = -9 + m. Suppose -6*c + 2*c + 440 = g. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 + -49.2. What is the second biggest value in -3, 0.3, 0.5, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -1\/8, -5, -0.4.\nAnswer: -5, -0.4, -1\/8, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 6*t**2 + 3*t + 10. Determine u(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.69? (a) 0.07 (b) 0.3 (c) -9 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 12:11 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 7*z + 3. Suppose -5*i - 3 = 17, 0 = -w + 4*i - 7. Let q be 3\/(-5) - w\/5. Determine x(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 5*y**3\/3 - 2*y - 13. What is the derivative of v(w) wrt w?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 8*m - m. Let u = 41 - m. Does 35 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-50))\/((-42)\/70)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1632, -3247, -4904, -6603, -8344, -10127?\n\"Answer: -21*f**2 - 1552*f - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35761 times -1.19?\nAnswer: -42555.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*j**5 - 5056291*j**4 + j**3 + 212910649*j**2 wrt j?\nAnswer: 780*j**2 - 121350984*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -14*j - 24*j - 54. Solve -3*l - 8*r + 7*r - 8 = 0, 5*l + j = -3*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006322 rounded to seven decimal places?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bd - 7?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2752727*t + 2752731*t + 6 = -5*r, -14*r - 31 = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 10 - (6 + -1 - (21 + -14))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1220 - 1342424?\nAnswer: -1341204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3536285 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 5*n**4\/6 - 4*n**3\/3 - 6*n + 1. Let i(g) be the first derivative of v(g). What is the second derivative of i(y) wrt y?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(3\/4)\/x*x))\/x*x**(-15)*(x**3)**0)**(-1\/28) assuming x is positive.\nAnswer: x**(9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-14 + -13 - -4)) + 1 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 36. Let v = s + 49. Solve -3*k - 23 = -2*l, k + k = 5*l - v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.29502ml?\nAnswer: 0.02329502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2907, 5, -0.4 in descending order.\nAnswer: 5, -0.4, -2907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r = -v - 8, 3*r = 6. Let s be 11 - (2322\/(-66))\/(-3). Is s at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/3 - 6433*n**3\/3 + 3521366*n**2 - 697729868*n\/3 - 1437767608\/3 = 0 for n.\nAnswer: -2, 71, 3182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 3*m**2 + 2*m - 4. Let u be h(3). Let k = -5 - -11. Solve -u*b = -5*b + k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-110.46.\nAnswer: -110.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -2585779.4?\nAnswer: -12928897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/13 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 - 138. What is the biggest value in 0.1, -0.2, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 96474.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let q(l) be the first derivative of -2*l**3\/3 - 6*l + 164. Determine d(q(u)).\nAnswer: 4*u**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, 15.033 in decreasing order.\nAnswer: 15.033, 4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5968423 - 5968423 + 3*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*x + 553, -3*d - 2*d + 2*x = 2817. Let r = -222 - d. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0*p - 3*g = 9*p + 17, -38*g + 190 = 0 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 1. Suppose -2*v - 10 = -4*j, -4*v + 4*j = -0*v. Let k(t) = t - 2 + v + 4*t. Calculate k(y) - 3*w(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s + 12 = 0, -a - 5*s + 21 = 0. Suppose -2*h + v + a = 0, 3*v = 8*v - 15. Solve -m + 7 = -h*n, n = 2*n - 4*m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 7*r**2 + 2*r - 4. Let a(w) = -w**3 + 9*w**2 - 14*w - 2. Let c be (22\/(-55))\/((-1)\/15). Calculate the least common multiple of a(c) and h(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 + 0 + -7 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -5, -28, -1\/24.\nAnswer: -28, -5, -1\/24, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/30)\/(29\/(145\/2))*2205\/36260?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + -195. Let m be 4\/(-10) - 5207\/j. Let s(c) = c**2 - 3*c - 3. Let b be s(4). Solve -2 = g + i - b, -5*g + i + m = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = -16, -16 = 3*m + 4*f. Suppose m = 2*j + t + 3*t - 12, 45 = 3*j - 3*t. Let c be 1\/(-2)*(-7 - 1). Solve c*h + j = -2*l, h - 3*l - 4 = -14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5024*a**3 + 25*a**2 + 25*a + 42. Let i(t) = 628*t**3 - 3*t**2 - 3*t - 5. Determine -50*i(z) - 6*k(z).\nAnswer: -1256*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + -7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v - 50. Let x(z) = -11*z - 65. Let o be x(v). Suppose 156 = 4*l + 4*r, -4*l - 6*r = -11*r - o. What is the highest common factor of 102 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -4 - 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -27089*w - 270862. Determine z(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1.35, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/230)\/(31*(-56)\/52080).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1310878*d**3*o + 2*d**3 - 50*d + 1226 wrt o?\nAnswer: -1310878*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 2 - r**2 - 2*r - 1. Suppose 9*b - 336 = -300. Calculate k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 10 = 15. Let z = -930 - -945. What is the remainder when j is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:49 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**4\/12 - a**3\/6 - a**2. Suppose -4*k + 3*k + 24 = 5*f, 3*k + 23 = 4*f. What is i(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*a = 894 + 1164. Solve 4*l - 2*b = 0, 5*l + 5*b + a = 22 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 9*f**2 - 5*f - 3. Let z be s(-8). Let d be 772\/12 - (-1)\/(-3). Suppose -z - d = -5*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from pwqwqwqqwwqqwqwqw?\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2))**(-17))**(-30)*(b*b*(b*((b\/(b**1*b))\/b)\/b)\/b*b)**(1\/61)\/(b*(b\/((b*b**(-2\/7))\/b))\/b*b*b)**(-1\/12) assuming b is positive.\nAnswer: b**(-85657\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -4*f**5 + 2196*f**4 - 15244*f**3 + 36924*f**2 - 36880*f + 13008 = 0?\nAnswer: 1, 2, 3, 542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 92144401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11451 - -16861. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10)\/((-5)\/35).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 10 - 1 - (-6 + 4 + -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*r + 482, 290 = 3*x - 5*r - 91. Suppose d + 6*d = 21. Suppose -x = -d*n + n. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (3\/(-3) - 2). What are the prime factors of z - -2 - 14\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 790 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 66452484*s + 551991578721282.\nAnswer: 2*(s - 16613121)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Let s = 3.7 + -0.7. Let f = -2.6 + s. Sort j, -1, f.\nAnswer: -1, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.117561 micrograms to nanograms.\nAnswer: 117.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 + 8*j**3 + 10*j**3 - 8*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -286.00358 - -286. What is k rounded to 4 decimal places?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - 15.03. Let l = -14 - k. Let r = 191 - 199. Which is the nearest to r? (a) 0.3 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9735 = 5*t + 4*m, -2*t + 1663 = -4*m - 2259. Suppose 0 = 11*a - t - 601. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*i - 34*t + 31*t, 4*i - 4*t = 28. Sort 5, 3, i in increasing order.\nAnswer: i, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 15845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*g - 6*g - 19, 4*j - 4 = -2*g. Suppose 3*i - 3 = 3. Find the third derivative of j*m - 7*m**2 - 13*m**4 - 5*m + i*m wrt m.\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*8\/32 + -2 - (-13)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 12) in base 2?\nAnswer: 100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11880 + 11884. Is -27.9 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6868834 a multiple of 489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 31. Let n(q) = q + 1. Let p(t) = -8*t - 6. Calculate h*n(o) + p(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12129162673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 459463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4873 - 7933 = 255*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (4 - 2 - (-2 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00040180921 to six decimal places.\nAnswer: 0.000402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x - 1. Let z(q) = -q. Let p(j) = -w(j) - 4*z(j). Let s(g) be the first derivative of -5*g**2\/2 - 5*g + 16. Calculate -3*p(f) - s(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-45)\/225*(-10)\/4. Let k = -5.02 + 0.02. Which is the nearest to k? (a) 4 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 12137003 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-13)*s)\/s*s*s*s**(-24)*(s**(-8))**(-16))**(-1\/8) assuming s is positive.\nAnswer: s**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 69*n + 594. Give h(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 385?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z - 1. Let g(i) = -i. Calculate 6*g(j) + 5*m(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 160115 + 3?\nAnswer: 160118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -3, 1, 5, 0, 0.92, 7 in increasing order.\nAnswer: -3, 0, 0.92, 1, 5, 7, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/70 (b) -0.08 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 15. Let i = -21.42 + o. Let k = i + -0.08. Which is the third biggest value? (a) 0.3 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3281.53 and -0.4.\nAnswer: 1312.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 + 2*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + i**2 + 4*i**2)*(-4 + 10 + 11)*(-3 + 3 - 6) to b*i**2 + q*i + v and give b.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25898077, -25898081, -25898087, -25898095?\n\"Answer: -h**2 - h - 25898075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 176\/69, 2\/7, -20, 4\/3, -0.02 in decreasing order.\nAnswer: 176\/69, 4\/3, 2\/7, -0.02, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 9*g - 74. Suppose 2*i + 41 = -3*i - 4*r, -3*i - 3*r - 24 = 0. Let y(a) = a + 4. Let s be y(i). Sort -6, s, g in decreasing order.\nAnswer: g, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 364052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 25*k = -30. Solve 4*u - k*c - 9 = u, 2*u - c + 1 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2792*i**2 - 123*i - 2792*i**2 - i**3 to the form k + w*i + x*i**3 + n*i**2 and give w.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 27 = 5*a + 28, -10 = 5*a. Suppose k - 4 = j. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/9734241 and -87\/267608?\nAnswer: 77873928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, h: 2, i: 1, x: 4}. Give prob of sequence xxib.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/1)\/((-22)\/4). Let c = 403 - 219. Let p = c - 183.5. What is the smallest value in v, p, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2981 + -1800. What are the prime factors of a?\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46085254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 15*k - 19. Suppose 2*m + 3*m = -45. Let g be o(m). Let b be (-26)\/(-8) - 5\/20. Solve g = b*w - 6*v + v, 2*w - 2*v = 18 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.897ng in tonnes?\nAnswer: 0.000000000000459897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9658 - -16419. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -686 + 1403\/2. What is the common denominator of h and -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -41*t - 1362. What is j(-34)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0, -35\/8, -0.1, -3, -171, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.448 + 181.448. Let g = a - 184.98. What is g rounded to 1 dp?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 1672, 3661, 6416, 9919, 14152, 19097, 24736?\nAnswer: 31051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -h - 0*a + 2, h - 14 = 3*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 - w**2 + 2*w + 1. Let t = 18 + -11. Let r(y) = 28327*y - 56656*y + 4*y**2 - 3 + 13*y**3 + 28322*y. What is t*h(c) + 2*r(c)?\nAnswer: -2*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*l + 1082 = 1077, s = 2*l - 0 + 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 3*c**2 + 4*c - 2. Let l be u(2). List the prime factors of 10 - (-1)\/(l\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19, 111, 243, 397, 555, 699?\n\"Answer: -3*v**3 + 38*v**2 - v - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286*t + 3*t**3 - 288*t + 558*t to d*t**3 + n*t**2 + w*t + b and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1131105*z**2 - z + 211. Let v(u) = -2*u**2. Give j(v(q)).\nAnswer: 4524420*q**4 + 2*q**2 + 211","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 640859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-261)\/(-819) - 36\/78?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -58. Suppose j - 5 = d*q - q, 4*j = 5*q + 25. Solve l = -j*o - o + 8, 4*l + 5*o - 37 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*w + 1108 = -2723 + 299 + 523 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3 - m + 5*m - m + 3*m + 28*m**2 wrt m?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 5 (c) -2\/5 (d) -2\/63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -262 at least -19212\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 444665*x**2. Let p(o) = 5*o**2. What is g(p(l))?\nAnswer: 11116625*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1*2\/1*185629\/(-12802)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*o - 0*o. Suppose -11*u + 90 = -u. Let t = u + o. Calculate the remainder when t is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1210?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2228, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/11840517 and -49\/6965010.\nAnswer: 118405170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (1 + -2 + -3 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -448.\nAnswer: -1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 35795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41, -735, 4, -3.\nAnswer: -735, -4, -3, 4, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44928 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422751?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2 + 3*r**3 - r - 3*r**3 + 12*r**2 - r**3.\nAnswer: -r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65100983 to the power of 1\/2, to the nearest integer?\nAnswer: 8069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2659 + 2792. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627643 is divided by 107.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -3*f, 0 = -3*h - 2*f + 3. Suppose 4*j + h*l - 35 = 2*l, -4*j - 2*l + 38 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, z: 3}. Give prob of sequence lzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 3184.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 3, -5\/2, 1511, -3, 4 in increasing order.\nAnswer: -3, -5\/2, -0.4, 3, 4, 1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 478*b**3 - 2395*b**2 + 89*b - 323. Calculate s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 24*c + 28 = 0. Let g(j) = j**2 - 7*j - 4. Give g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 0.3, -14\/251, -9\/8 in increasing order.\nAnswer: -101, -9\/8, -14\/251, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 1ba?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5201 - -8052. List the prime factors of s.\nAnswer: 29, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 13. Suppose 0 = -21*g + 3*g + 252. Let j = g + o. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201020011 (base 3) in base 7?\nAnswer: -645535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-8 - (44 + -32))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, v: 1, k: 2, w: 3, s: 3, l: 2}. Give prob of sequence wlas.\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*w + 29, -3*w = -2*j + 2*w + 58. Let n be 2 + 0\/2 + 27. Let k = n - 14. Calculate the remainder when j is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*w = 346*w + 39 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 12608173 and -1.650498?\nAnswer: 12608174.650498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981730 is divided by 190.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5761387*f. Let r(v) = 61*v**2. Determine o(r(u)).\nAnswer: -351444607*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 4*z + 8. Let s = -4.96 - 0.04. Let m = s + 8. Which is the third smallest value? (a) z (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1630853?\nAnswer: 489255.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29994732 and 10404.\nAnswer: 29994732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 3*l - 3*w, -20 = 3*l + w - 4 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, 0.01, 3, 1\/5, -117110?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * -718601.\nAnswer: 84076317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 69, 110, 155?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.215 - 42.215. Let i = x - -42.3. Let f = -49 - -48. What is the nearest to 1 in i, f, -1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 7)*6\/(-10). Suppose -f*s - 100 = s. Let v = -17 - s. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12416 - -347595\/28. Calculate the common denominator of x and 38\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.99947 and -87.\nAnswer: 173.95389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 + 241 = -45*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -28*u**3 + 4*u**2 - 42*u - 415. What is the tens digit of v(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -656, -1317, -1984, -2657?\n\"Answer: -3*o**2 - 652*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8286 and 49.6.\nAnswer: 410985.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - z**2 + 1. Let f(r) = 3*r**3 - r**2 + 3. What is -f(l) + s(l)?\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154440?\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -781 and 284151?\nAnswer: 284932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 19 = p - 0*v, 0 = -4*p + 3*v + 37. Let k be 6\/(-15)*p\/35. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - -63)\/(4 - 3). Find the second derivative of 6187 - 6187 + h*u + 46*u**2 wrt u.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 33. Let b(w) = 0*w + 2*w - w. Let l(o) = -b(o) + n(o). What is the remainder when 46 is divided by l(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/42*(135\/10 - 14). Suppose 2*u = -x, -5*x + 5 + 5 = 0. Sort u, b, -0.5.\nAnswer: u, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7 + 0 - g + 3. Let r be (1 - 2)\/(2\/10). Let l be m(r). Sort 3, l, 4.\nAnswer: l, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:56 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172, 717, 1638, 2935, 4608, 6657?\nAnswer: 9082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49012 - 49011.976413. What is n rounded to 4 decimal places?\nAnswer: 0.0236","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 4*c = -24. Let t(z) = z**3 + 5*z**2 - 9*z - 14. What is the units digit of t(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001367 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*l - l = 14, -z + 5*l = 2. Suppose z*u + 24 = 5*u - 5*m, 5*u + m = 60. Solve -3*d = d - u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:41 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 4, 43, -2\/21, 1 in descending order.\nAnswer: 43, 32, 4, 1, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -190 - -193. Let u(c) = 5*c - 2. Let g(k) = 8*k - 3. Let y(m) = j*u(m) - 2*g(m). Let n(f) be the first derivative of -5*f**2\/2 + 1. Give y(n(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v*v\/((v\/(v*v*v**(-2)*v)*v)\/v))\/(v\/(v**(8\/5)*v)))\/((v*v**(-4\/3)*v)\/(v*v**(2\/3)\/v)) assuming v is positive.\nAnswer: v**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2352?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 4\/3, -8, 9 in decreasing order.\nAnswer: 9, 4\/3, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - -42. Suppose 7*s + 578 - 690 = 0. Calculate the remainder when x is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of 5\/12*u**4 - 5\/6*u**3 - 7*u - 1\/20*u**5 + 0 + 3\/2*u**2. Give b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263492564*w**4 + 2*w**3 + 25*w**2 + 945*w - 2802.\nAnswer: -6323821536*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005993 rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n - 298. Calculate b(-2).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z + 6206 + 7 = 42*z + 45*z for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 45\/2 + 12\/(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28603131523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a581cb (base 13) in base 12?\nAnswer: -2ab6ba0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 696177.1 kilograms?\nAnswer: 696.1771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 13, k: 3}.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 394*g - 19063 - 3790 - 31913. What is the smallest common multiple of 3614 and g?\nAnswer: 3614","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*m + 38 = 16, 0 = 2*p - m - 13. Suppose -p*q = -4*n - 264, 4*n = -2*q + 43 + 83. Which is greater: q or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*x - 48. Calculate the remainder when 15 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 - -311. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from mttmt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 783, 2, -2 in increasing order.\nAnswer: -2, 0, 2, 783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.500546429 rounded to 2 decimal places?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -732 (base 8) to base 11\nAnswer: -3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, y: 2}. Give prob of picking 3 p.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n + n - 2940 = -53*n. Solve 78 = 9*z + n*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o + 7. Suppose 3*w - 32 = -2*i, 2*w - 46 = -3*w + 4*i. Let u be 2 - ((-48)\/w)\/((-6)\/15). Calculate the smallest common multiple of r(u) and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-525)\/14))\/((-32)\/(-60))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 643631 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + v - v)*(-21*v + 17*v - 83*v).\nAnswer: 174*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2673, 20495, 68869, 163071, 318377?\nAnswer: 550063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 5. Let h = -15 + n. What is the highest common factor of 2 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 21.4. Let k = -3 - y. Let i = k - -2.6. Which is bigger: 2\/7 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48377 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.33285 to one dp.\nAnswer: -10.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8380, -5.\nAnswer: -8380, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z**3 - z**3 - 6*z**3)*(0 + 2 + 118*z - 120*z) to the form o*z**3 + j*z**4 + h*z**2 + v + k*z and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/4*-8 - 3)*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4 - 2. Suppose y*p - 11 = 4. Solve -3 + 13 = -p*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2419*y**6 + 132*y**2 + 1 wrt y.\nAnswer: -290280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -46, -1\/2 in descending order.\nAnswer: 5, -1\/2, -2, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -326, -808, -1580, -2636, -3970?\nAnswer: -5576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let f(n) = 250*n - 130*n - 110*n + n**2. Determine y(f(w)).\nAnswer: 2*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**20*z*z**(-11\/6)*z)\/((z**(-12)*z)\/z*z**0) assuming z is positive.\nAnswer: z**(193\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -725, -1278, -1833, -2390, -2949, -3510, -4073?\n\"Answer: -l**2 - 550*l - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11*f + 144 = 0. Let s = 0 - 2. Let k be (1\/s)\/((-111)\/f). Which is bigger: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-21)\/15 + 4. Suppose -2*h - p = -3*h. Suppose 2*q**2 - 6*q**3 - 5*q - 2*q**4 + 3*q + q**h + 7*q**3 = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -3 - (-15 - (-29 - 7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4120*k**2. Let p(c) = -c**2 + 1. Let v(r) = -2*r**2 - 2. Let q(u) = 2*p(u) + v(u). What is q(n(i))?\nAnswer: -67897600*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1599210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 74257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-980)\/(-6) - (3 - 11\/3) is divided by 44.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7271604799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 18*j - 120 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266 + 1309 = 5*o. Let c be (o\/28)\/((-3)\/(-16)). Suppose 4*v = -v + c. What is the lowest common multiple of 16 and v?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.604 + -2.654. Let z be (1\/(-2))\/(-10 + 8). What is the closest to -0.1 in z, 0.4, b, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/641, 1239\/101 in descending order.\nAnswer: 1239\/101, 0, -1\/641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.34547 nanometers?\nAnswer: 0.000000634547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -3*g - 6, -3*m + 6*m - g = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -0.5, -2069, 1\/2, -0.1, -4 in decreasing order.\nAnswer: 21, 1\/2, -0.1, -0.5, -4, -2069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/630*(6*(-7)\/63 - (-1)\/6)?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-5*(-3 + -2*sqrt(2268) + (5 + (sqrt(140)\/sqrt(5) - sqrt(28)) - sqrt(28))))**2.\nAnswer: -136800*sqrt(7) + 9100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296904103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -609444 by -891.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1014661 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, u: 2}. Give prob of picking 2 u and 1 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i*i**(-26)))\/((i*(i*i*i\/(i*i*i*i*i\/i**(-2\/71)*i)*i)\/i)\/i))\/(i**(9\/2)\/(i\/i**14)))**(22\/3) assuming i is positive.\nAnswer: i**(18007\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -115\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 81.73592um?\nAnswer: 0.08173592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -4198346311?\nAnswer: 4198346311.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 131, -49, -433, -1081?\nAnswer: -2053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*i - 134*i - 143*i - 205*i + 56*i.\nAnswer: -329*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61938*q**3 + 396*q**2 + 10*q - 2?\nAnswer: -371628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63 - 20605.\nAnswer: -20668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 20*g + 66. Let a be r(16). Solve 0 = -a*y - 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 124*l**2 - 240*l + 10. Let y be j(-60). Solve -7 = -k - 2*p, 3*k - 3*p - 4 = -y for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (84\/70)\/((-2)\/15)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80, -51, 10, 115, 276, 505, 814, 1215?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 35139*y**3 + 3*y - 1. Let j be v(1). Let a(d) = 35141 - j + 3*d. Let l(r) = 2*r**2 + 53*r. Calculate a(l(p)).\nAnswer: 6*p**2 + 159*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxxt when four letters picked without replacement from tysyxxxyxsqxxx?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z. Let s(f) = -36*f. Let b(g) = -4*s(g) + 22*t(g). Let n(u) = -u - 1. Let w(i) = 2*i**2 - 3*i - 3. Let v(o) = 3*n(o) - w(o). What is b(v(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3214602 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 16*s**2 + 9*s + 147. What is c(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 115982 - 61089. List the prime factors of o.\nAnswer: 17, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/50 and -37\/580?\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -107934.5\nAnswer: -539672.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 12*s + 5)*(-3*s + 4*s + 3*s) + 4*s**2 - s**2 - 2*s**2 + (0*s - s - s)*(1 + s - 1).\nAnswer: -49*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 745177?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-16) - (-6)\/24. Suppose n = 2*a - a - 3*k + 495, -4*a = 3*k + 1995. What is the units digit of a\/(-15) + (-8)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -3\/4 (c) 1141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 0*a - a)*(2*a + 5 - 5)*(-a + a + 3*a) + (2*a**3 - 4*a**3 + 0*a**3)*(5 + 1 - 4).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 186379301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10869 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7039 * 0.3.\nAnswer: 2111.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 9*z**2 - 3*z + 43. Let l be r(-3). Which is the nearest to 2\/5? (a) -0.271 (b) l (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*o + 10*o + 25*o)*(0 - 4 - 6*o + 6)*(-13 + 5*o + 13).\nAnswer: -540*o**3 + 180*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989296 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*g - 450, -5*g + 894 = -5*m - 266. Let o be (89\/62 - (-18)\/279)*-106. Let l = g + o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 12:11 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 2673.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 + 3*q**2 - 5*q**2 + (0*q - 5*q + 4*q)*(-4*q + 2*q + 4*q) - 21709*q**2 + 11113*q**2 + 7044*q**2 to b + m*q**2 + l*q and give m.\nAnswer: -3553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t**5\/60 + 10*t**2 - 7. Let a(j) be the second derivative of y(j). Let d(r) = -35*r. Calculate d(a(v)).\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159299946 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9. Suppose -5*o + 390 = -t*o. Suppose 3*p + o = 4*p. Is 20 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152 - 1?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/4 + 4891*r\/4 - 2445\/2 = 0.\nAnswer: 1, 4890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27\/65 + -8\/13. Let t = 511 - 995. Let w = 484.5 + t. What is the closest to 0 in w, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -558 times -0.00557?\nAnswer: 3.10806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6275610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 80*v**2. Suppose -36*p + 72975 = 13395. Let z(x) = x + p - 1655. Give q(z(f)).\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z + 7. Let h be 2\/(-19) + (-116)\/(-19). What is the tens digit of t(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245070 divided by 2\nAnswer: 122535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606355 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3\/7 + 54100*x**2\/7 - 108212*x\/7 + 54108\/7 = 0.\nAnswer: -13527, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -145. Let f be 531\/255 + (-12)\/(-15) - 3. Sort f, -0.2, p, 2\/7.\nAnswer: -0.2, f, 2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w**3 - 11*w**2 - 11*w. Let a(m) be the first derivative of -5*m**4\/4 + 4*m**3\/3 + 2*m**2 - 5. Give 11*a(n) + 4*d(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90.008867 + -0.211867. Let m = 90 - h. Round m to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 - -48. What is the first derivative of -13 - j*y**2 + 20 - 18 wrt y?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156\/(-35) + (18\/(-294))\/((-19)\/266).\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397414?\nAnswer: 2, 109, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iccc when four letters picked without replacement from iiciciiiciii?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17082 - -21813713\/1277. Is 1 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 - 2*q - 2. Let h be y(5). Calculate the common denominator of -6\/11 and (1 - h\/18) + 2.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -841035*y**3 - 244*y**2 - 433483408*y wrt y?\nAnswer: -5046210*y - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21344131753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 2) + -6 + 14 - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4142885 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1\/2, -11634, -2 in descending order.\nAnswer: 1\/2, 2\/9, -2, -11634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/11)\/a*a)\/(a**(-6)\/a))\/((a*(a*a*a*a**(-1\/12))\/a*a)\/a**(-2\/27)) assuming a is positive.\nAnswer: a**(3359\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65753\/22 + 2986. Calculate the common denominator of s and (3 - 7)\/(-144)*98.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 183 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3)*i)\/i*i**(-2\/13)*(i*i**(1\/2))**(7\/12)*(i\/(i*i**(-1\/3))*i*i)**(-21)*(i*i**(1\/2))**25 assuming i is positive.\nAnswer: i**(-1329\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 109, 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*z - 2*z = 14, -4*z = h + 8. Suppose -i = 2, h*s - 4*i - 4 = 6*s. Let w = 7 - s. Which is the nearest to 1? (a) w (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2426 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: What is the hundreds digit of 265893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*m + 21 - 81 = 0, -3*m + 88 = 5*a. Calculate the greatest common divisor of a and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/4)\/(-6 + 3). What is the third biggest value in 4, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u = -1372. Suppose 5*y = 5*b + 315, 5*y = 3*b - 5*b + u. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*g - g = -19, b = -3*g - 5. Suppose 4*o = 8, -m - 2*o + 2219 = b*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2650773 minutes in hours?\nAnswer: 0.004417955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0*q - 13\/36*q**4 + 0 + 4\/3*q**3 + 63*q**2 + 1\/90*q**5. Suppose r(h) = 0. What is h?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -14*x**3 - 7*x**2 + 5*x. Let d(b) = -13*b**3 - 5*b**2 + 4*b. Calculate 4*a(i) - 5*d(i).\nAnswer: 9*i**3 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04751 - 7.\nAnswer: -6.95249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l + 6. What is w(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25202, -51554, -77920, -104306, -130718, -157162, -183644?\n\"Answer: -h**3 - h**2 - 26342*h + 1142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9148*r = 9166*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 5dc7?\nAnswer: -5dc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(500) + -1)*1 - (sqrt(500) + 2*sqrt(500) + 3))**2 + 2.\nAnswer: 160*sqrt(5) + 2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:23 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 119*j**6\/120 - 17*j**5\/30 + j**4\/12 - 2*j**2 + 28*j. Find the third derivative of k(c) wrt c.\nAnswer: 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5360444 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*q + 18, 12 = 2*q - 38*w + 36*w. Calculate the lowest common multiple of q and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by (4 + 1)\/(385\/7392).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 778102063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -8*f**2 + 15*f + 10. Let c(m) = -23*m**2 + 46*m + 28. Calculate 4*c(s) - 11*n(s).\nAnswer: -4*s**2 + 19*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 2*j**2 + 4*j. Let n be w(3). Let r(g) = -n - 2 + 3 - 2*g. Let q(z) = -z**2 + 28*z - 173. Let x be q(19). Calculate r(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 7*g + 7. Let w be y(7). Let c = w + -5. Suppose -1 = 2*x - 9. Is x less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7935 = -464*p - 10293 + 2183 - 5763 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q - 2*w = 24*q - 3447, 2*q + 2*w = 1380. Solve -681*m = -q*m + 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1198 + -13148\/11. Let g = c + -188\/77. Let r = 3.07 + -0.07. Sort r, 4, g.\nAnswer: g, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*5\/(-9))\/((121290\/15444)\/(-311)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/115 and 121\/62376.\nAnswer: 311880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**5\/20 + s**4\/12 + s**3\/6 - s. Let n(x) = x**3 - 46*x**2 + 243*x - 118. Let y be n(40). Calculate o(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 113*j + 117*j = 24, -3*v = -2*j + 24 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3354384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-26)*(-1 + -2 + 5). What is the third derivative of -115*v**3 - 6*v**6 - 115*v**3 - 78*v**2 + 232*v**m - 21*v**6 wrt v?\nAnswer: -3240*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/395 and (6\/18 + 450\/(-378))\/((-160)\/(-1092)).\nAnswer: 1580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-4))\/((-17)\/(816\/36))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -10547*o - 6. Let d(v) = v**2. Give d(s(a)).\nAnswer: 111239209*a**2 + 126564*a + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(1*sqrt(3)*-6 + sqrt(3)) + (sqrt(68) + 1 + 4)**2.\nAnswer: 99*sqrt(17)\/5 + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 13 - (-27 + 13 + 3) - -12\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/(-77))\/((-108)\/88). Let m = 0.2 - 0. Let y = 2.8 + m. Which is the second biggest value? (a) y (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*c + 11 - 9*c - 10)*(6*c + 78 - 78).\nAnswer: 132*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3980465*l**5 - 1587902*l?\nAnswer: 79609300*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/475920 and -113\/480.\nAnswer: 951840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1256*b**4*m - 937*b**4 + 6*b**2*m - 4*b**2 + 9*m + 2557 wrt b?\nAnswer: -30144*b*m - 22488*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/4)\/(x**(-8)*x)*(x\/(x\/x**0))**(5\/14))**(-9) assuming x is positive.\nAnswer: x**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9372 - 9420. Which is the nearest to z? (a) 0.2 (b) -29 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3 - 2 - 2 - 23*u. Let i(y) = -y**2 - 15*y - 22*y + 34*y + 3*y. Give t(i(q)).\nAnswer: 23*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3362)\/(-58835)*7\/34.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544*t + 7700 = -444*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 - n**5\/60 - 9*n**4\/8 - 16*n**2. Is v(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**4\/15 - 412*i**3\/15 + 2059194*i**2\/5 - 1262042064*i\/5 + 1259983008\/5 = 0.\nAnswer: -2103, 1, 948","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 8 - (-4 - (7 - 2))) + (-262 - -284).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31607, -63279, -95033, -126875, -158811?\nAnswer: -190847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11)\/(-44) + 978115\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2708 is divided by 451.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103.4 + 103. Which is the nearest to -0.3? (a) 0.04 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*a - 89 + 11, 2*a = j + 78. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 - 7849*w\/3 + 28820.\nAnswer: -(w - 11)*(w + 7860)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(420)*1*1)\/((sqrt(84)*-2 + sqrt(84))\/sqrt(7)))\/(sqrt(7) + -6*sqrt(343) + sqrt(21)\/sqrt(3)*6).\nAnswer: -2 + sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 904 = -4*h. Let q be (-2778)\/9 + 10\/(-30). Let o = q + h. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 7*l**2 + 9*l - 1. Let n be o(-5). Differentiate 0*a - 3 + 27 - 12*a - n*a with respect to a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o - 18. Let l(q) = q**3 + 4*q**2 - 2*q - 1. Let w be l(-3). Let m be f(w). Find the common denominator of 23\/9 and ((-651)\/(-9))\/7 - m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1636, 6285, 13926, 24559, 38184?\n\"Answer: 1496*b**2 + 161*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50592.72 months in centuries?\nAnswer: 42.1606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447293894 to the power of 1\/2, to the nearest integer?\nAnswer: 38043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/12)\/((-1)\/(-2)). Suppose -3 = -n - 2. Suppose 4*c - 4*s - 4 = 0, 0 = c - 3*s + 3 - 10. Sort n, c, z in decreasing order.\nAnswer: z, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 131654359 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5310402 and 163\/647610?\nAnswer: 26552010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/2588406042 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 4576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 37*b**8\/336 + b**6\/40 + 19*b**4\/12 + b**3\/3 - 219*b**2. Find the second derivative of j(z) wrt z.\nAnswer: 740*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -22*n + 3039. Determine l(82).\nAnswer: 1235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 790.0612ml?\nAnswer: 0.7900612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1629?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from ihzzn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -12. Let c be (3\/5)\/(75\/875). Calculate the remainder when 18 is divided by c + w\/(28\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(720)*-4)**2 + (((sqrt(5) - sqrt(15)\/sqrt(3)) + 0)*-5)**2.\nAnswer: 103680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -375\/7, 333165, -2\/15, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19700.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002530402558 to seven dps.\nAnswer: 0.0000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18145*w - 36153*w - 3534 = -18101*w for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 d, and 1 m when three letters picked without replacement from {d: 2, g: 1, h: 1, m: 2, b: 1, q: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 158*h - 134 wrt h.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-86)\/(-129) - 40\/33.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0*c - 24 = -q, 2*c = -4*q - 12. Let g be c\/(-15) + 8\/5. Suppose -3*d = -4*o - 16, -g*d + 22 = -0*d + 3*o. Solve 0 = -2*p + d - 2 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -158.942 - -159. Let v = r + 0.142. Is v <= -88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3217217155?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*w - 2*w + 502, 4*w + v = 503. Calculate the greatest common factor of w and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggcgccggggcg. Give prob of sequence gc.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**5 + 144*u**4 - 2112*u**3 + 9342*u**2 - 15309*u + 7938 = 0.\nAnswer: 1, 2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(27))\/(sqrt(66)\/(sqrt(33)\/sqrt(3) + sqrt(11))))**2*-5 - ((sqrt(28) + sqrt(28)*1)*-3)\/(sqrt(28)\/sqrt(28)).\nAnswer: -140\/9 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(3)*-1*-3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*f - 9 = 0. Suppose -l + 42 = l + f*d, 5*d - 110 = -5*l. What are the prime factors of 533\/6 - (-4)\/l?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 24 = 3*l, 4*l + 18 = c + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = 0, -267*h = 2*m - 269*h - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4879, -5031, -5447, -6259, -7599, -9599, -12391?\nAnswer: -16107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2. Let i(j) = -343*j**2 + 77*j + 154. Let q(z) = -18*z**2 + 4*z + 8. Let y(x) = 4*i(x) - 77*q(x). Give v(y(g)).\nAnswer: -784*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i + 5*i + 2 + 25*i**2 - 10*i**4 - i**4 + 480914*i**3 - 480910*i**3 as l + b*i**3 + c*i**4 + m*i + r*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*z + 14. Let b(n) = n**3 - 19*n**2 - 1. Let r be b(z). Round r to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14786 + -1330753\/90. Find the common denominator of -43\/70 and c.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/49, 1\/4, 1, -5, -0.1 in descending order.\nAnswer: 1, 1\/4, 2\/49, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6356218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -765\/2 - -382. Which is smaller: d or -765?\nAnswer: -765","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-476)\/(-52) + (-2)\/13. Suppose 4*y = -2*n + q - 3, -3*n - 3 = 2*y. Let k = 0.05 - -0.25. Which is the third biggest value? (a) k (b) y (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**2 - 50*a + 1. Let b(d) = -2*d**2 + 10*d. Let l(m) = 11*b(m) + 2*c(m). Let u be l(5). Let h(n) = -3*n**2 + 4*n - 2. What is h(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6992 + -4.\nAnswer: 6988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 5648424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -18807 and -19351 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 68*k**3 - 44*k**2 - 2*k + 2. Let j(z) = -340*z**3 + 220*z**2 + 11*z - 11. Let u(v) = -2*j(v) - 11*s(v). What is the third derivative of u(a) wrt a?\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - 0. Let r = f - -50.68. Let l = 2.679067 - r. What is l rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -194, -2\/9, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -130505 divided by -6\nAnswer: 130505\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((272\/(-102))\/((-6)\/33))\/4?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/(-2))\/(17\/(-34)). What is the lowest common multiple of (0 - 4)\/(y\/(-10)) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/164564 and 79\/82282?\nAnswer: 164564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (11 - ((-11 - -29) + -14))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 6) + (19 - 14) + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (40\/(-16))\/((-1)\/2) and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 45419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -46094826 - 0.03?\nAnswer: -46094826.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-16)*(-128)\/(-304). Let f be (-38)\/(-95)*(-10)\/(-42). What is the closest to -1\/5 in w, 2\/15, -0.3, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61466611 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 173*p + 12*p**2 + 462 - 994*p - 1030*p = 0.\nAnswer: 1\/4, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/5 + 67*c**4 - 1180*c**3\/3 - 1584*c**2 - 40*c + 15. Factor t(q).\nAnswer: -4*(q - 198)*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8435 + 5369. Round c to the nearest 100.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -2575.\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445770 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1434794753.\nAnswer: 7, 6659, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 - 135*a**3 + 1689*a**2 - 3465*a - 5292.\nAnswer: 3*(a - 21)**2*(a - 4)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 6. Suppose -4*q - o = -7 - 14, u*o - 18 = -4*q. Suppose i - 22 = y, -y + q*i - 3*i - 28 = 0. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 34 - 37 - 2*m**2 + 4*m to the form x*m**2 + l*m + k and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*z. Let l be 9 - 8 - (-1)\/((-11)\/16). Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) + 1)**2 - ((sqrt(7) + sqrt(7) + -2)*4 - sqrt(7))**2.\nAnswer: -378 + 116*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 22*b. Let g(h) = -7*h. Suppose -5*d - 65 = -3*t, 5*d - 4*t + 70 = -0. Let s(i) = d*g(i) - 3*v(i). Let n(m) = -2*m**2. Determine n(s(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10574648*-2.4\nAnswer: -25379155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/9 (c) -13 (d) -5 (e) -0.3 (f) -500\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -1\/1213, 3 in increasing order.\nAnswer: -55, -1\/1213, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(-3 - d + 3)*(-10 + 4 + 5).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a - 3*a + 0*a + (2 + 3 - 6)*(-5*a - a + 4*a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Let j = -11 + 18. Suppose -v*l + 14 = 2*o, -l = 3*o - j*o + 13. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*f - 5 + 26. Sort 5, -0.5, f, 7.\nAnswer: -0.5, f, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = -10*o + 15*o. List the prime factors of o.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 7 + 2 = 0. Suppose n*h = q + 53 + 5, -2*q + 17 = h. What is the remainder when 56 is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 124 = -11*y + 4*y, -136*n = 2*y - 139*n - 88 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -433, -1791, -4075, -7285, -11421, -16483?\n\"Answer: -463*p**2 + 31*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 468109 + 468134 - 4*v**3.\nAnswer: v**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 73. Let b be (-18494)\/(-84) - w\/(-48)*-2. Calculate the greatest common divisor of b and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 10 + 7)*(3*u + 5*u - 6*u)*(-2 - 1 - 2) in the form v*u + b and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.013\nAnswer: 0.3039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/19 and 101\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1949 by 115.\nAnswer: -1949\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*o + 6. Calculate the lowest common multiple of 148 and o.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10222 + 1?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 565862 and 250624?\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 5059?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 171863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqddmmmmtmmmm. Give prob of picking 2 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 3500420?\nAnswer: 7000840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -56, -104, -148, -188, -224, -256?\n\"Answer: 2*k**2 - 54*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288933\/6965 + 1452\/35. Let t be (-10)\/(-12) - (-4 + (-8596610)\/(-835800)). Let s = t + x. Find the common denominator of s and 35\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*i**2 - 263804223*i**3 + 70*i**2 + 263804222*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10327 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 274 - -2?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 83172511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/106533 and -163\/252.\nAnswer: 426132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*sqrt(208))**2 + sqrt(208)).\nAnswer: 4*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/7)\/(54\/378*1\/(-5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/80*2*(337 + -425)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3104, 12772, 28884, 51440?\n\"Answer: 3222*j**2 + 2*j - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*n = -42*n - 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 579168?\nAnswer: 579168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 3, 7 = -2*o + 3*y - 0*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0 (c) 13 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-63 - -3) - (5 + (-15 - -6))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, m: 4, c: 10}. What is prob of picking 1 m and 2 b?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 - 2*s + 4. Let h be g(-3). Let t = h - 51. Suppose -2*z + 13 = -t. Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**3 - 15*g**2 - 65*g + 75 = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 889357379 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + l**5 + (l + 7*l - 13*l)*(3*l**4 + 3*l**4 - 3*l**4).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11525113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, v: 5, d: 3}. Give prob of sequence vvid.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6005 - 3158. Suppose -p = -8*r - 15. Calculate the least common multiple of 14 and r.\nAnswer: 2478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1665*g**2\/4 + 1254*g - 63\/4.\nAnswer: -3*(g - 3)*(555*g - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27656 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56166, 224543, 505136, 897945, 1402970, 2020211, 2749668?\nAnswer: 3591341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 + -9 + 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose 5 = -2*a + 1. Let p = a + t. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-18)*1 + (-12)\/(-54). Which is the fourth smallest value? (a) -3\/5 (b) 0.4 (c) h (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 - 7. Let b = m - -4. Let v = -3212.4 - -3209.4. What is the nearest to b in -4, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2362 (c) 1\/7 (d) 3 (e) 0.04 (f) -38 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*c**4*z**3 - 4*c**2*z**3 + 3*c*z**3 + 56*c - z**2 wrt c?\nAnswer: -324*c**2*z**3 - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 49446.\nAnswer: 1\/16482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 495503 + -0.2\nAnswer: 495502.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 15) in base 3?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*t - 5, 10*o + 20 = 14*o - 5*t. What is the third biggest value in o, 0.4, -658?\nAnswer: -658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5667253 and 55981?\nAnswer: 3293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 + 3*o - 6. Let i(t) = -t**3 + 9*t**2 + 5. Let x be i(9). Give c(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.310575 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44 and -1\/219?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/(-51))\/((-50)\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 17*v**2 - 86*v + 48. Calculate the remainder when 718 is divided by t(-21).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwpwwzzwpvfwwzzwwwvf. What is prob of picking 1 w and 1 f?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 6. Let v(u) = 2*u**2 - 3*u. Let t be v(o). Find the first derivative of 1 - 4 - 3*n**4 + t wrt n.\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 1181438050805888*n**2 + 97218848*n + 2 = 0.\nAnswer: -1\/24304712","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5771060 to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-10 - -6)) + -6 + 3 + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -212 divided by -21\nAnswer: 212\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2096)\/7860 - ((-3)\/5 - (-8)\/16)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*r)*((2 - 7 + 4)*(3 + 2 + 2) + 1 + 1 + 1)*(0*r - 2*r + 4*r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z**3 + 2*z**2 + 2*z - 2. Let t be 18\/(-8) - 9\/(-36). Let f(h) = 81*h**3 - 33*h**2 - 33*h + 33. What is t*f(q) - 33*l(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -5*u - 55, 2*x = -3*u + 29 - 12. Suppose 2*n + 7*n = x*n. Suppose 8 = -12*c + 14*c. Solve n*k = c*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*f - 163. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -16\/32809?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -495, -4609, -11515, -21219, -33727?\n\"Answer: -v**3 - 1390*v**2 + 63*v + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1426214*a - 21*a**2 - 2 + 0 + 4 - 1426216*a.\nAnswer: -21*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6620 - 6635.987. Let v = 201.313 + -201. Let c = j - v. What is c rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v - 4, -24*v + 21*v = -2*i - 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 2 = -16*j. Let n(x) = x**2 + 7*x - 4. Let q be n(j). Suppose 2*u + u - 9 = 0. Solve -3*c + 24 = -0*w - u*w, 2*c - 26 = q*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-5)\/(150\/(-16))*(-105)\/42\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 242, -0.22269, 1.3?\nAnswer: -0.22269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -837 - -837. What is the fourth smallest value in 5, 6\/11, i, -1\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -17 + 1 + 5*b**2 - 2*b - b**3 + 13. What is y(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 8*w = -8, 2 = -6*x - 204*w + 206*w - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -592?\nAnswer: 5\/592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/15)\/((-9)\/390). Suppose -2*a + b = 2*a. Is 3*a - (-4 + 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 574, 919, 1252, 1573, 1882?\n\"Answer: -6*k**2 + 363*k + 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.3, 27\/13, -0.2, -314?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, y: 17}. Give prob of picking 2 p and 1 y.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*b - 57*b - 26*b + 2 - 28*b to h + k*b and give k.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*(sqrt(99) + (1 + sqrt(99) + (sqrt(99) + sqrt(99) + 0)**2 - sqrt(99)) - ((2*sqrt(99))**2 + 1)).\nAnswer: -90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -11*k**3\/3 - 3*k**2\/2 + 21. Let w(j) = -22*j**2 - 7*j. Let u(t) = 9*r(t) - 4*w(t). Give u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184 + 36. Let s = 148.041 + j. Round s to three decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**2 + 0 + 24*n - 24*n + 2 with respect to n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1786*w**5 + 12*w**2 - 45*w. Let q(t) = -1786*t**5 - 13*t**2 + 43*t. Let x(y) = -3*f(y) - 2*q(y). Find the third derivative of x(d) wrt d.\nAnswer: -107160*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -8. Let c = -4 + d. Let n be -5 - 6\/c - -7. Are 4 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632.8223 kilograms in grams?\nAnswer: 632822.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -35 by 116.\nAnswer: -35\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 798*q**2 + 45*q - 60. Does 3 divide u(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23316279881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 56*k + 31 = 50*k, -49 + 8 = -3*m - 2*k for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1259.94721 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-932)\/20 + -4)*25. Let y be (7\/((-105)\/18))\/(12\/k). Round y to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8913232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Add together 1.248 and 196718.\nAnswer: 196719.248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -2.9. Let o = -0.3 + 1.3. Let i = a - o. Do 0 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*y**2 - 176*y**2 - 132*y**2 to v*y**2 + d*y + r and give v.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 454, -0.5, -11, -0.049 in descending order.\nAnswer: 454, -0.049, -0.5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1139, 468, 3, -3, 5, -1 in descending order.\nAnswer: 468, 5, 3, -1, -3, -1139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -698.36 - -663. Let f = 35 + i. Let n = f - -0.14. Round n to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30*(-2)\/9*3)\/((-8)\/4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1657*p**3 + p**2 - 5*p + 2. Let m(u) = 6629*u**3 + 5*u**2 - 24*u + 9. Calculate 9*j(r) - 2*m(r).\nAnswer: 1655*r**3 - r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.16, -1\/3, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 74 + -34 - -17?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 224 and -3?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -7*l - 16. Let s be a(13). Let f = -112 - s. Sort 5, 3, 2, f in ascending order.\nAnswer: f, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.08 - -3.08. Let j = 177 + -179. Which is the smallest value? (a) q (b) -3 (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 - x**3 + 4*x**3 - x**3 + 2*x**3 - 7*x**3 + (-3*x + 3*x + 2*x**2)*(x - 2 + 2).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 40 in decreasing order.\nAnswer: 40, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - (2 - (-3 - -6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 + -93. Suppose -y = -39*g + 36*g. What is the greatest common factor of 22 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.007 - 0.307. Let y = -13.94 - 0.06. Let f be 0 + 2\/50*5. What is the third biggest value in u, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 2*m - 7. Let t = -24 - m. Let f be -6*(t\/(-8) + -2). Solve -3*b - r - f = 0, 2*r + 2 = -3*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 20 = -5*g, 2*g + 4*h - 69 = -81 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -12. Find the common denominator of 50\/13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-4)\/220)\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/32 and -117\/43232560?\nAnswer: 86465120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -81, -75, -69?\n\"Answer: 6*i - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6510\/10777 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15*60\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**3*u**(-13)*u**(-7)\/u*u*(u**15\/u*u*u)\/u assuming u is positive.\nAnswer: u**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4289370 to the nearest ten thousand.\nAnswer: 4290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*j + 9*v - 1200, j = -v + 603. What is the remainder when j is divided by 199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-8)*(-69)\/828?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155.2 + -155. Which is the closest to 0? (a) k (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 16 = -2*d. Let q(i) = -9 - i**2 + d*i + i + 5*i. Does 5 divide q(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 38 - 2) + (-42)\/(-14). Suppose 3*a - 16 = -k - k, 2*a = -4*k + m. Calculate the lowest common multiple of k and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:14 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 654804 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 3*q**2 - q + 4. Let r be v(3). List the prime factors of (-12 + 1)*(r + -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 57. Let f be z(15). Suppose 5*x = f - 42. Let j(g) = g**2 + 2*g - 12. Let n be j(x). Calculate the greatest common factor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32200110200 (base 4) to base 3\nAnswer: -21011011220122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbqqqqbqqqbqbqbqqbb. Give prob of picking 2 q.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1104*q - 1491*q + 119370 for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1368*u + 2 - 2 + 3*u**2 + 51*u**2 - 15*u**2.\nAnswer: 39*u**2 - 1368*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/(-5))\/((-6)\/80). Let h = 68 - k. Suppose 4 = -8*w + h. Solve 0 = -5*v - w - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sil when three letters picked without replacement from {l: 2, z: 8, i: 2, s: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 2*v**3 + v**3 + (-v**2 - v**2 + 0*v**2)*(-v + 6*v + 2*v) + (-489 + 977 - 494 - v)*(-3 + 3 - v**2).\nAnswer: -11*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(156) + sqrt(156))\/sqrt(4))\/((sqrt(36)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3 + (-14)\/4)*-26 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -11 - ((-7 - -42) + 0)) + (1 - 12).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - a + (-a + 4 - 4)*(2 - 3 + 3) - 2 + 2 - 5*a - 3*a + 3*a - 2 + 2*a.\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/i**(1\/3)*(i*(i\/i**(-4)*i)\/i)\/i*i*(i*i**6)\/(i\/(i*i**(-3)))*((i**0\/i)**(-15\/7))**(-6\/35) assuming i is positive.\nAnswer: i**(1661\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**4 - 72408*l**3 + 2*l**2 - 2*l - 16485280?\nAnswer: 8*l**3 - 217224*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w = 22*w + 8*h + 40, 5*w + 46*h + 102 = 42*h + 2 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.18354 centuries to millennia.\nAnswer: 0.918354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9e9c1 (base 15) to base 13.\nAnswer: 148b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16764682 (base 9) to base 7.\nAnswer: 131430563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2001*d**2 - 7998*d - 24 = 0.\nAnswer: -2\/667, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112 + 0?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 2\/13 (b) 2 (c) 3\/4 (d) -56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1471374 (base 8) to base 4\nAnswer: 1213023330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1088) + 2)*6)**2 - (sqrt(68)\/sqrt(36)*1 + 4).\nAnswer: 3455*sqrt(17)\/3 + 39303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 5*p - 14. Suppose 5*g = 3*z + 9, -79*z + 2*g = -74*z + 34. What is t(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -972 + 10713\/11. What is the common denominator of 22\/165 + 1614\/270 and p?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {s: 2, t: 1, l: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27146.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1727)\/1012 + 7\/4. Let s(k) = -2*k - 23. Let v be s(-12). Suppose 2*o = l - v, 3*l + o = -2*o - 6. Which is greater: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-10)*64\/28. Calculate the common denominator of (c - 9)*9\/(-40) and 3\/100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4843883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:53 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*y + 7102600 - 7101136 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 + -139.181. Let u = s - -0.29. Let p = u - 0.10899858. Round p to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2003, 2041, 2077, 2111?\nAnswer: 2143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 25 - 10*y + 8 - 7*y.\nAnswer: -17*y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, -1.617 in increasing order.\nAnswer: -1.617, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u*u\/u**(-2\/5)*u*u)**(1\/37)\/(u**(1\/2))**40)\/((u*u**(-8))\/u*u\/((u*u\/(u**(-7)\/u))\/u)*u*u**(2\/17)*(u\/(u*u**(-1\/5)))\/u*u) assuming u is positive.\nAnswer: u**(-3202\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**2 + 8*k**2 - 3*k**2 - 1399 + 5169 as a + n*k**2 + h*k and give a.\nAnswer: 3770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -31351*u + 2163265. Determine f(69).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**7\/420 + b**6\/360 - b**3\/2 - 4*b. Let d(w) be the second derivative of c(w). What is the third derivative of d(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -10*y - 2. Let l be x(-1). Calculate the greatest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y, -3*s - 4*y - 4 - 8 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-134)\/(-402))\/((-1)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 2:32 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3546, 1038, -1444, -3888, -6282?\nAnswer: -8614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*n + 34 = 0, v - 1 = n + 2. Solve 0 = s + 2*c - 12, -3*c = -s - c - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27*j - 3 - 1 + 20*j - 2. Let r be q(3). Suppose -5*p = 5*s - r, -p = 4*s - 7 - 8. 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 692 minutes before 3:59 AM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**7\/8820 - o**6\/1260 - o**4\/4 - 4*o. Let r(t) be the third derivative of d(t). Determine m so that r(m) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.1, -5, 9\/4, -0.04 in ascending order.\nAnswer: -5, -0.4, -0.1, -0.04, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2 = -0. Solve 4*x + f - 22 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 1)*(-c**3 + 10*c**3 - 3*c**3) + 0*c**3 - 2*c**3 + 0*c**3 as b*c**2 + q*c**3 + o + k*c and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 61, 46, 15, -38, -119, -234, -389?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3277502560.\nAnswer: 2, 5, 20484391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 + d**2 + d**2)*((5 - 3 - 1)*(-4 + 4 - 1) + 1 + 1 - 4 - 6 + 7 + 6).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 2\/11 (c) -310\/19 (d) -0.1 (e) 4 (f) 1 (g) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*q*r - 2*d**2*q - 7*d*q + 77*q**2*r - 2*q**2 wrt r.\nAnswer: -2*d**2*q + 77*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530300 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 18*s**2 + 16*s - 15. Let r be h(-17). Suppose -r*f = -4 - 2. Solve -f = -3*i + l, -6 = -0*l + 2*l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 44*j**2 - 31*j + 126. What is d(-21)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.6 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 13\/2)\/3. Let n(m) = m. Let g be n(1). Let y(r) = 5*r**3 + r**2 - 2*r + 1. Let h be y(g). Which is the closest to 0? (a) h (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 11*f**2 - 9*f - 963. Let t be j(-20). Calculate the highest common factor of t and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4413 is divided by 78\/19 - 4 - (-26190)\/285.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -9.2.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/288 + (0 - (-13)\/36)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6 - 18 + 8 + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-94)\/(-18) - 10\/45. Let w = -8 + g. Let b(f) = f**2 + 3*f + 3. Is 3 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3006, 3004, 3002, 3000?\nAnswer: 2998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (8 - (1 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1435 and -73\/246.\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.3 + -65.3. Let g = 30 + l. Let k = g + 25.3. What is the third biggest value in 1\/3, k, 12?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.7 (b) -0.3 (c) -2.9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322 - -13?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 5}. Give prob of picking 1 c and 1 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5746*g - 13 - 5720*g + 11513*g)*(0 + 1 - 3).\nAnswer: -94*g + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 30, 31, 32, 33?\n\"Answer: i + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*p**3 + 0 + 217656*p**2 - 217655*p**2 - 1146*p to the form c + m*p**2 + s*p + b*p**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -279 or 1938?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -19*b + 140. Suppose 0 = z + 2*t - t - 874, -2*z + 1763 = b*t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 90. Suppose 0 = -4*b + 3*i + 122 + 146, n*b = -3*i + 362. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -123, -883, -2957, -7005, -13687, -23663?\n\"Answer: -110*o**3 + 3*o**2 + o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 72.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(46546\/(-36) - -1). Let c be -105*(-4 - (-205)\/5). Let u = c + l. What is the common denominator of 57\/20 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -577 + 580. Suppose -d = s*c + 2*c - 847, -4*d - 4*c + 3420 = 0. What are the prime factors of d?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 15*m + 1. Let x be n(15). Let c(b) = 3*b**2 + 2. Let h(t) = -t**2 - 1. Calculate x*c(a) + h(a).\nAnswer: 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/7 + 828*c\/7 = 0 for c.\nAnswer: -414, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0023648233 to 5 decimal places.\nAnswer: 0.00236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2866 - -4365. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1826)\/10 - (-6)\/(-15). Let k = j + 389. Let u = 300 - k. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -3\/2 (c) 8 (d) 0.078723\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/38*(3\/3 - 2))\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1054*g + 1348*g - 52547 = 27*g + 28203 for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 80732.54cm?\nAnswer: 807.3254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*v = 15, -2 = -4*v + 6. Suppose -3*s = s - 20. Let i = -15941 - -15957. Solve -3*y - s*f = -13, -y + f = b*f - i for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 15*v**3\/2 + 194301*v**2\/2 + 11604945*v\/2 + 11410659\/2 = 0?\nAnswer: -64467\/5, -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1031\/99 - -139\/11. Calculate the common denominator of 37\/90 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**8\/g**(-13)*(g**(2\/27))**(-2\/59) assuming g is positive.\nAnswer: g**(33449\/1593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68840483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9703 and 9109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2192709?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11066505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 38\/(-10) - 2\/10. Let h(p) be the second derivative of -1\/20*p**5 + 5\/6*p**3 + p**2 + 0 - 2*p - 1\/4*p**4. What is h(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13146661 (base 7) in base 8?\nAnswer: 4462060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*c - 2018*c - 1902*c - 328*c.\nAnswer: -4043*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5361*p = -5360*p - 5, 0 = 2*n - 4*p - 50. Determine u so that -15\/7*u**4 - 18\/7*u**3 + 9\/7 + 3*u - 3\/7*u**n + 6\/7*u**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*m - p + 52, 5*m - 88 = 2*p. Solve -6*h + m*h = -18*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 8. Let o(w) = 3*w - 25. Give -2*o(j) - 7*z(j).\nAnswer: j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 283?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3 - j - j - 1 - 2. Let u(r) = -52*r**2. Give u(z(o)).\nAnswer: -208*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96869 - 3294 = -41*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/18)\/(6\/(-56))*(-13)\/234?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 7*x + 0*x**3 - 2*x)*(4 + 2 + 1).\nAnswer: 14*x**3 + 35*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w**2 - 14*w**2 - 5*w**2)*(-3 - 3 + 4)*(1 - 1 - 1) + (w**2 + 0*w**2 - 2*w**2)*(0 + 2 - 27) to o*w + l*w**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -11*m**3 + 2*m**2 + m. Calculate the remainder when 21 is divided by u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 4287. Let n = m + -560. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, u: 1, p: 14}. Give prob of picking 1 p and 1 j.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92053000.\nAnswer: 2, 5, 13, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495405034 and 2384?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y - 1. Let r(k) = 6*k - 2. Calculate 4*i(f) - 3*r(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.73 + -1.27. Let t = 11 - y. Which is smaller: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -625 - -625.018. Let u = h - 0.008. Let t = 1\/6 - 11\/18. Which is the second smallest value? (a) u (b) t (c) 2\/13 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 3*h + 194. Let v = -59 - h. Let c(t) = -3*t + 5. What is the remainder when v is divided by c(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -50?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 3, 1\/5, 43270, 4, 5, 4\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -3*h**3 - 5*h. Let s(l) = -l. Give s(m(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/43498 and 109\/12428.\nAnswer: 86996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20187 and 4.5.\nAnswer: -90841.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4 + 1. What is the smallest value in -4, h, 2\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6363 = 56*q + 68*q + 41*q + 4197 for q.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mxx when three letters picked without replacement from {x: 3, z: 4, m: 1, o: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1998 + 5*r**2 - 3368 + 416.\nAnswer: 5*r**2 - 4950","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**3\/3 + 9*a**2\/2 - 20*a - 15. Let p be d(-12). Let f be 4\/p*4 - 34\/10. Which is smaller: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31914080 divided by -11.\nAnswer: -2901280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1558 or -1589?\nAnswer: -1589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 15 + 11 + 0*w. Calculate the least common multiple of g(8) and 92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 0*v + 0*v. Let s(l) = -20*l**2 + 12*l - 6. Suppose 0 = 4*o - j, -32*j + 7 = -o - 30*j. Let n(p) = o*s(p) + 12*h(p). Differentiate n(d) wrt d.\nAnswer: -40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 10101200220?\nAnswer: -10101200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -2*t**7\/105 + t**4\/12 - 5*t**2\/2 - 7. Let n(m) be the second derivative of q(m). Find the second derivative of n(g) wrt g.\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 11181, 5, -4, 0, 4 in descending order.\nAnswer: 11181, 5, 4, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4832392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2 (c) 55 (d) -0.3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251642, -251533, -251424, -251315, -251206, -251097?\n\"Answer: 109*n - 251751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.25 and -0.09.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3573)\/(-4))\/((-6)\/(-64)) - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -672467.794895 and 196.\nAnswer: -672271.794895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-4 - sqrt(228) - sqrt(228))\/sqrt(12) - ((sqrt(76) - sqrt(76)*3)\/sqrt(4) + sqrt(19) - sqrt(19)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-18))\/2*618\/(-515)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 16. Let i = 5 + f. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 21 + 24. Suppose 0 = k*o - 20*o - 210. Which is greater: -15 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + 1 + 320\/10)*40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 0 - (-2 - -18). Let u be 1*m\/(-3) + 0. Solve 0 = -4*p + u - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 9 - 4. Suppose i*k + 12 = 3*h + 10, 0 = 4*h + 2*k + 6. Which is the closest to h? (a) 0.02 (b) -4 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((10\/18)\/5). Let q be (-5)\/15 - (-238)\/m. Suppose -6 = -h + q. What is the remainder when h is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*o = -5*v, -5*v + 3 = 4*o. Suppose 4*t + 20 = 0, -v*q - t + 4*t + 18 = 0. Suppose -q = -u + 5. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273*t**3 + 267*t**3 + 2*t**2 - 1064*t**3 + 269*t**3 + 269*t**3.\nAnswer: 14*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57346185 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(-9)\/((-108)\/(-8))*11*135\/(-1485)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b42 + -20d?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 7*u + 167. Let h be s(-11). Solve 3*r + 5*b + 10 = 0, 0 = h*r - 9*b + 8*b + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.39 - 1.096. Let u = h + -0.394. Is 2.76 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by ((-5)\/((-210)\/144))\/(2\/7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(3\/(15\/5)). Let u(x) = 10*x**2 + w*x**2 - x**2. Let v(d) = 3*d + 5*d - 5*d. Calculate u(v(o)).\nAnswer: 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 823105320 to the power of 1\/3, to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 8*r**2 - 8*r - 5. Let d be z(9). Let k = d - -6. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20603 or 20600?\nAnswer: 20603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -2*b**7\/3 + b**3\/2 - 24*b + 5. Let f(r) be the first derivative of u(r). Find the second derivative of f(x) wrt x.\nAnswer: -560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402 (base 6) in base 14?\nAnswer: 1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -364\/285 + -7\/57. Let h be 2\/32*(-1 + -5). Sort h, 0.1, t, 0.2 in ascending order.\nAnswer: t, h, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10579\/77 - 1516\/11. Which is the closest to -1? (a) 0.3 (b) l (c) 16 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/6*(-14)\/(-70).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 148\/(-6) - (-4)\/6. Let m = t - -2. Let z = m + 37. Calculate the highest common factor of 6 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*-1*24\/630*-5.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - (sqrt(175) + 3 + (sqrt(175) - (5 + sqrt(175)))))**2 + -3 + ((sqrt(7) - 3*sqrt(7)) + -5)*3*1.\nAnswer: -6*sqrt(7) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -21020101112102 (base 3) in base 10?\nAnswer: -3845864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at least as big as 77\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -218.9 or 0?\nAnswer: -218.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*s - k, 3 = -316*k + 319*k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 times -709284\nAnswer: 425570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 59494526 and 93491398?\nAnswer: 654439786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*l + 17, -20*p + 17*p = -4*l - 18. Let o = 6 + -6. Let k be o*(-1)\/(-3) - -5. Solve n - 2*f + k*f = -8, p*n + 4*f = -12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 - -11?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-28)\/k)\/(k*k*(k\/(k**(32\/3)\/k)*k)\/k))\/(k\/(k\/(k\/(k**(-4\/11)\/k)))*k**(8\/7)*k) assuming k is positive.\nAnswer: k**(-6200\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 1311, 4812, 11607, 22794?\nAnswer: 39471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*k + 81 = 0, 3*k + 2*k + 61 = 2*x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*j - 29*j + 72*j + 88*j to the form x + t*j and give t.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 25. Let a = 0 - 12. What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.54*0.001\nAnswer: 0.00554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001110 (base 2) in base 12?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + 2*d**2 - 4*d**2 + 9*d**2 + 6 - 6 + (-1 + 2*d + 1)*(-d + 6*d - 3*d) + 3*d**2 + d**2 - d**2.\nAnswer: 14*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 421 + -419. Solve -j*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28279 is divided by 370.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -37, -31, -25, -19?\n\"Answer: 6*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 0, -41 in decreasing order.\nAnswer: 3, 0, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + 3036\/(-504))*-3?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 + 6*v + 5. Give a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1208\/(-320) + -6 + 306\/48)*-5?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12523.896ms in minutes?\nAnswer: 0.2087316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/44 - 22\/4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4200130?\nAnswer: 2, 5, 11, 38183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 11*b**2 - 15*b + 85. Determine o(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + 7*z**2 + 6*z + 5. Let c(x) = 11*x**3 + 15*x**2 + 12*x + 10. Let a(m) = 4*c(m) - 9*i(m). Is a(-2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -43*c - 85. Let g be k(-14). Let u = g + -164. What are the prime factors of u?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - 1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (10 + -10)\/(-2). What is the closest to 0.07 in -5, 1\/4, f, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2*m + 24*m**2 + 1 + 65*m**2 + 27*m**2.\nAnswer: 116*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3433, 22937, 74529, 174253, 338153, 582273, 922657?\n\"Answer: 2674*r**3 + 786*r - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -221 + 226. Let x be (-2 - (-10)\/k)\/(-2). Solve -2*p = 5*o + 9, -3*p - 2*p + 2*o - 8 = x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-32)\/3)\/((-1)\/3). Let a be (-221)\/13 + 0 + 2. Let p = a + v. What is the remainder when 67 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -25*n**3 - 565*n**2 - 18435*n - 214355. Let x(k) = -k**3 - 2*k**2 - 3*k + 1. Let o(a) = 20*x(a) - y(a). Solve o(g) = 0.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3501.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 - -38. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 - 7*g - 9. Let k(r) = -2*r**3 + 4*r + 5. Give 7*k(w) + 4*o(w).\nAnswer: -2*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 52*b + 50. Let z(j) = 53*j + 52. Let p(l) = 4*o(l) - 5*z(l). What is the units digit of p(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + -10 + -3 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -186742\nAnswer: -2\/93371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -3, -1, -92, -4 in decreasing order.\nAnswer: -1, -3, -4, -5, -10, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -4837229.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - r = -4, 4*r - 8 = 2*r. Suppose -5*q + 5*k + 20 + 30 = j, 2*k = -3*q + 40. Calculate the least common multiple of q and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35785 is divided by 942.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 + -0.0898.\nAnswer: -0.2098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 147635 divided by 29527?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156.5 + 156.5. What is the closest to 10 in -1, w, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 70. Is 20 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 3090*g**3 - 474305*g**2 + 957900*g - 480500.\nAnswer: -5*(g - 1)**2*(g + 310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39754 + 20146 - 44*n + 19608.\nAnswer: -44*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*l**3 - 676 + 11*l**3 - 160023*l**2 - 688 + 160023*l**2 + 1364.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2156616 to the nearest integer?\nAnswer: 1469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) -0.2 (c) 1\/360 (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*f + 2886 = 960 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t + 4 = -21. Let j be t + 7 - 7\/7. Solve j*s - 1 = 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -46\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -0.4, 12.04, 0.07, -5\/2?\nAnswer: 12.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 373?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109168229?\nAnswer: 109168229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7335 - 951 = 38*z. What is the lowest common multiple of 231 and z?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.2, -192?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -472?\nAnswer: -475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3572.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*w - 116*w - 13*a = -15*a + 5, -4*a + 45 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 95115*312\nAnswer: 29675880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*x - 3743, 2*x - 155 + 167 = 0. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 0.327136\nAnswer: -0.827136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (65 - -1) + (-6)\/3. Let o = v + -46. 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 c = 121237\/30 + -4049. Let v = 49\/6 + c. Suppose -8\/5*h + v*h**4 + 2\/5 - 8\/5*h**3 + 12\/5*h**2 = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4393 (base 12) to base 2\nAnswer: 1110100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0 + 4. Let n be ((5 - 0) + 1)*48\/(-32). Let g be n\/45 - (-42)\/10. Solve g*z + b = 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 minus -108264028?\nAnswer: 108264014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 4*g - 3. Let x(l) = -6*l**2 + 9*l + 7. Let k(y) = 7*w(y) + 3*x(y). Let q be 12\/9*(-9)\/6. Let z = q - -3. What is k(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 8*u + 19. What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -369073507.66 - 0.0158?\nAnswer: -369073507.6758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.6 - -28. Let p = 6.6 - -0.4. Let n = p - 7.3. What is the nearest to -0.1 in l, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*q, 2*b + 3 + 1 = 2*q. Suppose -b*i - 2*i + 40 = 0. What is the remainder when 14 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8230, 8234, 8238, 8242, 8246, 8250?\n\"Answer: 4*x + 8226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/45 and -59\/2217735.\nAnswer: 2217735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -18*u + 69 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 i when four letters picked without replacement from iiixixxxii.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 61*d**2\/2 + 5*d - 4. Let k be z(-3). Round k to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 112 - 75. Suppose -3*a = -12 - 0. Suppose 45 = a*g + 5*r - 7, 0 = -5*g - 2*r + 65. Calculate the remainder when p is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 165 in 2, -4, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {a: 4, g: 1, z: 2, s: 3}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 300 + -294. Calculate the greatest common divisor of f and 1308.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-1))\/(j*(((j\/(j\/(j\/(j**15\/j))*j))\/j)\/j)\/j)*(j\/j**5*j)\/j*j*j\/(j**0*j*j) assuming j is positive.\nAnswer: j**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 0.1556143?\nAnswer: -0.2556143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 47*a**2 + 221*a + 5. Let y(o) = -35*o**2 - 110*o - 3. Determine -3*q(t) - 5*y(t).\nAnswer: 34*t**2 - 113*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.15 - 2.75. Sort -1\/2, c, 5, 0.5.\nAnswer: c, -1\/2, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 147*h**3 + 4616*h**2 - 813424908*h?\nAnswer: -24*h**2 + 882*h + 9232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36953.\nAnswer: 7, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -31*s + 1741. Let p be y(56). Let x(h) = -2 - 4*h**2 + 7*h**2 + 8*h - h**3 - 1. Give x(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 260805 = h. Let i = h - -50935. What is i rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 18*z + 3. Let d be (-8)\/3 + ((-22)\/3 - -8). What is w(d)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 12:12 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 - 4*v**2 + 4. Let y be 20\/24 - 2510\/(-12). Let c = y + -190. What is the lowest common multiple of c and t(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.08 minus 56.95?\nAnswer: 34.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -172.\nAnswer: -5\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -377*0.2\nAnswer: -75.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31652 is divided by 8533.\nAnswer: 6053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2340\/78*(-3)\/(-36)*8*18\/56\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 5:26 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-14)\/21*(-126)\/8)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 7 = 57. Solve -t - 3*t = -5*z - 37, 5*t = -z + g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -4) + 14 + 370 + -394 - 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 8*m**2 + 6*m. Let f(l) be the first derivative of 17\/3*l**3 - 13\/2*l**2 + 0*l + 5\/4*l**4 + 9. Calculate 4*f(o) + 9*q(o).\nAnswer: 2*o**3 - 4*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 4*u - 35 = 0, -3*u + 60 = 5*a. Calculate the remainder when 252 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 256.47761 and -1?\nAnswer: 257.47761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 19*b - 18292 = 0. Suppose 0 = l + 5*a - 513, a = 3*l - b - 383. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -78. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**3 - 28*x**2 - 568*x - 5034. Calculate n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(1\/6)*v*v*v)*v)\/(v**(8\/3)*v))\/(v**(-1\/7)*v)**(-2\/51) assuming v is positive.\nAnswer: v**(-3427\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + 1. Let n(p) = 40*p**3 - p**2 + 2. Let k(x) = -n(x) - 3*q(x). What is the third derivative of k(m) wrt m?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -5, -0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 5 - (0 - (4 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**3 - 25*f + 25*f + (-2*f + 0*f + f)*(117*f - 52 + 52)*(-2*f + 0 + 0) as r*f**3 + d*f + k + x*f**2 and give r.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 394979353 + -3.\nAnswer: 394979350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1400057 + -0.14. What is q rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -401 + 2103. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l + 2. Let b be d(8). Let c(k) = 0*k**2 + k**2 + 2*k + b*k - 7 + 11. What is c(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1015 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 493 + 252 = -175. Solve -g*s - 25 = 4*z - 6*z, -4*z + 4*s + 40 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*w - 23. Let x be 3\/w - (3 + -5). Solve 1 = 3*p - x for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f**2 + 10266807*f + 379621180 wrt f?\nAnswer: -14*f + 10266807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -846*o + 98135. Calculate f(116).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/366709 and -29\/533666369?\nAnswer: 3735664583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-306)\/(-2652)*-13)\/((-5)\/4)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 8. Let n(z) = -z**2 + 5*z + 2. Let y be n(5). Let t be 3*6*y\/9. What is the greatest common divisor of t and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5807489 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44*(-429)\/(-610324)*-1.\nAnswer: 3\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 - 51*p**3 + 8*p**3 + 16*p**3 + 22*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, k: 3, e: 2, l: 1, t: 3, x: 1}. Give prob of picking 1 k, 2 e, and 1 l.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 4*k + 16, -15*l + 17*l + 10 = 2*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 3*d + d)*(-2*d**2 - 135 - 10 + 24).\nAnswer: 6*d**3 + 363*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**5\/5 + 28*f**4\/5 + 66*f**3 + 524*f**2\/5 - 176*f = 0 for f.\nAnswer: -5, -4, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -159 or -45?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((378\/42)\/36)\/((-6)\/((-192)\/34))\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057) - sqrt(2057))**2 + sqrt(102)\/(sqrt(18)\/sqrt(3)) + -2.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 363 (b) -4 (c) 4 (d) 1.2 (e) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/4)\/(1\/24*4). Suppose -a + 3*a - t*p - 112 = 0, -3*a + p + 168 = 0. What is the highest common divisor of 140 and a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from yhuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (106 - 1) + -73 + 36 + 0.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3228\/11 or 292?\nAnswer: 292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81545779?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3 + (-2 - 2 + 5)*(89 + 77 - 158))*(28*a - 14 + 14 + a + a - a + 0*a + 3*a - a + (2 - 3 + 3)*(1 + 2*a - 1) + a + 1 - 1) as i + k*a and give k.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3883423 divided by -17\nAnswer: 3883423\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11801 = 41*q - 827. What is the greatest common factor of 140 and q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 15 + 26*h**2 - 35 - 25 + 23*h + h**3. Let i be q(-25). Suppose 2 = -g - 2*y, 6 - i = 4*g + 5*y. Solve 2*v = -2*n, -g*n - 1 + 5 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*15\/(-9))\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 5)*(50*v - 42*v - 31*v) - 4 + 4 - 2*v to t + p*v and give p.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 201?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 + 56*t - 226. Determine q(5).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -28801 at least -316804\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3438 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 5)*63\/(-12). Let f = 229 + -176. Let v = f + m. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 + 15578502*v\/5 + 20224143713667\/5.\nAnswer: 3*(v + 2596417)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h + 2\/33*h**4 + 0 + 1\/110*h**5 + 2\/11*h**2 + 5\/33*h**3. Factor b(t).\nAnswer: 2*(t + 1)**2*(t + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -9*y + 33 + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -8*l**3 + 2*l**2 + 6*l + 4. Let u be 2*18\/8*28\/(-126). Determine f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/20)\/((387\/1892)\/((-9)\/(-2))).\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 45*v**2 + 104*v + 584. Give a(-47).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26*s**3 + 938982*s + 76233682 wrt s?\nAnswer: 78*s**2 + 938982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -155, -228, -307, -398, -507, -640, -803?\n\"Answer: -o**3 + 6*o**2 - 84*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -29765 divided by 5953\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 60 = 3*p. Solve -2*o + 20 = -4*d, -4*d = -2*d + 5*o + p for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 + 165*f**2 + 128*f - 4275. What is c(33)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 4)*(-2 + t + 2)*(400 + 108 + 312).\nAnswer: -2460*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6*q - d = -1, -5 = 4*q - 5*d. Suppose q = -13*t + 21*t - 40. What is the greatest common factor of t and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -789 divided by -3.\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 + 14364*v - 14364*v.\nAnswer: 15*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1228572 and 14.\nAnswer: -1228558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 less than 3334774455?\nAnswer: 3334774455.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945 and 6615?\nAnswer: 6615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 38*c + 109 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68893 is divided by 96.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -20 + (-1 - 15 - -13) + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 743889 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, e: 1, d: 2, b: 1}. Give prob of sequence bed.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 26 = 2*j, 4*n + 3*j = 814. Calculate the highest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7611.\nAnswer: 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q + 37. Give z(23).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 69348, 69104, 68860, 68616, 68372?\n\"Answer: -244*r + 69592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 588 = -692. Suppose 0 = 12*f + m*f - 77572. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8\/32789 + -3310889\/3278900. What is the common denominator of q and 37\/75?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 6 - 2 = 0. Let s = -35 - -37.8. Let k = s - 0.8. Which is the second smallest value? (a) w (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*z**4 - 2*l**2 - 105*l*z - 1185*z**5 - 1 wrt z?\nAnswer: 12*l**2*z**2 - 23700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 4*b + 14, -3*b + 2 = -d + 24. Suppose 4*z - 2*g - 2*g = 92, 3*g = -12. Let m = z - d. Solve -4 = 2*x - m*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1207 - 1051 = 174*z - 38*z - 2292 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 1. Suppose -3*y = 2*y - 55. What is the least common multiple of y and k?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80181451*t**6 + 24998387*t**2?\nAnswer: 9621774120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 33. Suppose 4*p = -3*r + 31, 3*p - 4*r - 32 = p. Let s be (3\/x)\/(p\/(-8)). What is the third biggest value in -0.2, 2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.0145015 - 285.0156515. Let x = r - -284. What is x rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t + 4. Let s(c) = -1. Suppose -5*a + 3*a = 2. Let j(k) = a*q(k) - 4*s(k). Find the second derivative of j(m) wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 divided by -3?\nAnswer: -1042\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.4 + -5.6. Let i = h + 8.86. Let g = 11.86 - i. Is g at most as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f = -5388 + 3909 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + q + 3 - 0, 3*q = 2*z - 13. Let y = 4 + z. Suppose 3*f + 2*i + 2 = 0, 5*f + 0*i - y*i - 3 = 0. Solve -n - 2*n + 9 = f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 5276285 - 13223720 = -f, 4*l = -5*f + 14800025. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*s + 58172 + 279296 = -58428. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38994541 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*y - 22. Let a = -68 - -64. What are the prime factors of (y\/a)\/(12\/(-160))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 12 - (0 - (1 + -13))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, w: 1}. Give prob of sequence grw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 6*n**2 - 4*n + 7. Let s be r(-5). Let d(o) = -2*o - 2. Suppose -4*m + 3 = 2*t - 5, m = -t. Let h be d(t). Solve -4*k - h + s = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -1. Calculate the greatest common factor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*d**2 - 107169*d - 4374.\nAnswer: -3*(d + 729)*(49*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/50*12\/9.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 85264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w\/w**(2\/9))*w)*w**6*w*(w*w**(-4))**(-23\/5))**(-3\/22) assuming w is positive.\nAnswer: w**(-463\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6, -d = -q - 0*q. What is the third derivative of -62*a**q + 4*a**6 + 0*a**6 + 61*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/43506 and 29\/2417.\nAnswer: 43506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6878 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.0773\nAnswer: -0.3865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1553479572 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -y + 6, 8*p - 4*p = 5*y + 12. Solve -3*j + 5*i = -8, p*i = -2*j + 3*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.9*-0.94\nAnswer: -13.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(66))\/sqrt(6) - (sqrt(11) - (4 + sqrt(11) + 1) - sqrt(11))**2).\nAnswer: 54*sqrt(11) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -582.922 + 78873?\nAnswer: 78290.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*j + 3. Let u(c) = 2*c + 5. Let v(r) = 7*r + 14. Let d(k) = -11*u(k) + 4*v(k). Calculate d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -140, -333, -624, -1025, -1548, -2205, -3008?\nAnswer: -3969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -125 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*c = 184*c - 13 - 437. Calculate the highest common divisor of c and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 736.0058 + -0.0058. Let k = x - 638.4. Let c = k - 98. What is the second biggest value in 6, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 5203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1289 and -11831485.858.\nAnswer: -11832774.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from ppypcppypllppllp.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2337335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c + 0*c + 2*c + 3*c. Let a(y) = -4*y**2 + 2. Let w(r) = 22*r**2 - 6. Let d(b) = -6*a(b) - 2*w(b). Calculate d(t(p)).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2108 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + v. Suppose v = -0*l + 3*l + 4*x + 24, -5 = -l + 3*x. Let g = -3 - l. Which is the third biggest value? (a) 0 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -95, -157, -221, -287?\n\"Answer: -r**2 - 59*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5773795?\nAnswer: 5, 17, 67927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7485 = 12*j + 369. What are the prime factors of j?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 19 = -2*i, -l - 2*l = -3*i + 21. Factor -4*c**2 - 16*c**2 - 4*c - 8*c**3 + i*c**2.\nAnswer: -2*c*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 5*c**2 - 3*c + 3. Let w be 5*(4\/10 - 0). Suppose -3*h = -w*t - 1 - 4, 8 = 4*t. Suppose -h*j - 17 = -4*l, -2*j + 0*l - l = 4. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0479487551 and -3.\nAnswer: -2.9520512449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**4 - 5*r**2 + 5*r**2 + (5141*r**3 - 2546*r**3 + r + 14 - 2567*r**3)*(-2*r - 1 + 1) as p + l*r + m*r**3 + z*r**4 + k*r**2 and give l.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/19*2*(-1)\/20.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25522 is divided by 3621.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -77*u + 193. What is x(3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5\/6 - 228151*p**4\/6 + 912658*p**3\/3 + 1673174*p**2 + 1825272*p = 0.\nAnswer: -228159, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -166436, -166460, -166496, -166544, -166604?\n\"Answer: -6*h**2 - 6*h - 166424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*k - 20. Let u be (-52)\/k + (-6)\/(-8). What is the derivative of 4*r - 4*r - 2 + 4*r**u + 5 wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -8322*o + 3. Let d(a) = -6*a + 6. Calculate h(d(r)).\nAnswer: 49932*r - 49929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -9, 1\/4, -17\/8 in descending order.\nAnswer: 0.5, 1\/4, -17\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + -22 + 6 + -2 + -11?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16944903 and 567356.\nAnswer: 4947911676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8.9 + 9. Let m = i - -0.1. Sort 4, m, 0.3 in descending order.\nAnswer: 4, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/(sqrt(7)*2) - (0 + sqrt(17) + sqrt(85)\/sqrt(5)))*3 + 3*(0 + sqrt(119)\/sqrt(7)*4).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18.3 - -0.3. Let f = g - -18.5. Let m = -0.4 - 0.6. Is m > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u**(-31)*u)\/u)**(-29)*(u\/(u*u**(-14\/9)))\/u**(12\/5) assuming u is positive.\nAnswer: u**(37807\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2715274, -2715282, -2715294, -2715310, -2715330?\nAnswer: -2715354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102122020 (base 3) to base 6.\nAnswer: -103140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/84 and 53\/59641176.\nAnswer: 59641176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99 = -7*d - 64 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2. Let l be (2\/5)\/((-1)\/(-5)). Let i = 4 - l. Let w(c) = -3*c**i + 3*c**2 - 2*c**2. Determine z(w(s)).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5650)\/(-5198) - 2\/23. Which is bigger: -70.03 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2776291 less than -180.2?\nAnswer: -179.9223709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - i = -184, 4*d - 8*d - 3*i + 252 = 0. Is d\/(-80) - (-2)\/((-8)\/(-4295)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 21, 41, 77, 135?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1616176 - -982176. Round m to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17\/2, -4, -41, -7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 911 + -913. Put -30, s, 4 in decreasing order.\nAnswer: 4, s, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7800075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38)\/19*7\/42?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -11. Let c be (-2)\/10 - (-2)\/10. Solve c*g - l = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.94 rounded to one decimal place?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9a39 (base 16) to base 9\nAnswer: -60137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**2 - 8*i - 5. Let x be o(8). Suppose -19 = -q - 2*t, 0*q + 5*q + t - x = 0. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 11*g**2 + 60*g + 8. Let k be r(15). Let m(f) be the first derivative of -k + 1\/7*f**2 + 2\/7*f - 4\/21*f**3. Find w, given that m(w) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01357 and -0.0365.\nAnswer: -0.000495305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.11448 * 3841\nAnswer: 439.71768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 15. Let i be 4\/14 + 5\/(-630)*-6. Let z be (2\/(-6))\/(1\/(-2)). Put z, w, i in descending order.\nAnswer: w, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*m**2\/7 + 192*m\/7 + 132\/7.\nAnswer: -3*(m - 22)*(3*m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 210 and 9169041?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 154, 223, 292, 361, 430?\nAnswer: 499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 13*q**2 - 7 - 1 + 6.\nAnswer: -19*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*r = 46, 3*r + 76 = 2*o - r. Suppose -4*q - o = -4*v, 2*v - 17 = 5*q - 0*q. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*u = 53, 9*z - u = 12*z - 37 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1391 a multiple of 107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 1\/223 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/138851496 and 89\/21168.\nAnswer: 277702992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -19. Suppose 0 = -m*w + 2*s + 31, -3*w + 0*w = 2*s - 25. Factor -w*n**3 + 2*n**3 + 4*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 49742?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2412 - 4?\nAnswer: -2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50093 is divided by 214?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(60))\/(sqrt(300) + sqrt(300)*-2 - sqrt(300)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -4*q + 3*w, 3*q - 2*w = -0*w + 126. Let m = 241 - 369. What is the lowest common multiple of 5 + (-76)\/12 - m\/6 and q?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1630811?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57652\/15 - 19219\/5. What is the nearest to 2\/5 in b, -4, -5\/3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 414246.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(6)\/sqrt(2))**2 + sqrt(15)\/sqrt(5) + 2 + (sqrt(3) - (sqrt(27) + 0))*-4.\nAnswer: -10 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 294977897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2876 - 1991. What is the greatest common factor of h and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12*5\/20 - 131\/21. Let o = -18\/7 - q. What is the second smallest value in 2\/7, 0.7, -5, o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -31213.\nAnswer: -280917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 16, 0.4, 0.3, -4\/3, -52?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*f + 2, f - 1 + 5 = 0. Solve g*u = 6*u - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -7\/4*q**3 + 1\/8*q**4 - 15*q + 1 + 0*q**2. Find r such that y(r) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -98, -896, -3084, -7358, -14414?\n\"Answer: -116*q**3 + q**2 + 11*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -26\/9*j**2 + 42 - 118\/3*j + 2\/9*j**3 = 0.\nAnswer: -9, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*s + 9. What is the units digit of ((-67)\/s)\/(13\/52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -555 divided by -37?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/289062 and 32\/2727?\nAnswer: 289062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.039013 rounded to three dps?\nAnswer: 1.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -694 divided by 5.\nAnswer: -694\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(25\/(-15)) + 194 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 1:51 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*j + j = 9, 0 = q - 2*j + 1. Find the first derivative of -5*r + q + 11*r - 6*r - 6*r**4 wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*k + 18*k + 4*k**2 - 2*k**2 - 3 + 3 + (2*k + 0*k - k)*(-4 + 4 - k) + 2*k**2 + 2*k - 2*k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3*-875649\nAnswer: -2626947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*h - 35, -5*n + 0*n = -5*h - 5. Solve 0 = 5*x - n*c + 29, x - 3*c + 2 = -6*c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-3))\/((-2)\/(-12)). Let z be (-1 + 2)*1*v. What is the units digit of (-38)\/(-4) - (-2)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*w - 135 = 0, -5*s - 7*w = -10*w + 563. Let o be s\/(-25) - 9\/15. Solve -4*a + o = -16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66591*l + 66590*l = 9*u + 37, l - 5*u - 19 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -5*q**2\/2 - 7*q + 3. Let u be o(6). Let f = -17 - u. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 64.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2\/4)\/((-14)\/(-532))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 76\/20139?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**4\/16 - 5*w**3\/2 - 9*w + 1. Find a, given that p(a) = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i - 7. What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/(4\/24). Suppose w + v = -3*f + f, -w - 2 = -3*f. Solve 2*u - 8 = -f*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/104468 and -53\/12?\nAnswer: 313404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**3\/3 - 392*z**2 - 153664*z - 909. Factor c(w).\nAnswer: -(w + 392)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -33. Suppose -89*x + 94*x = -l. Suppose -2*j = -10 - 0. Put 2, j, x in ascending order.\nAnswer: x, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37902 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11101100001010111111 (base 2) to base 10\nAnswer: 967359","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen fifths of a decade?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/6656 and -71\/3072.\nAnswer: 39936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -83*t + 42*t - 2 + 42*t. Suppose 3*b - 1312 = -1318. Determine m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -116? (a) 1 (b) 0.4 (c) 14 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 - 7*h**4 + h**4 - 2 + (0*h**2 + 2*h**2 + 5*h**2)*(70*h**2 - 68*h**2 - 171*h**2) as y*h**2 + f*h**3 + a + k*h + w*h**4 and give w.\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(190) + (sqrt(190) - (sqrt(190) + sqrt(190)*-1))) + (sqrt(190) - sqrt(190)*1)*-2)\/(sqrt(30)\/(sqrt(3) + sqrt(108)*-1)))**2 + -2.\nAnswer: 7598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64871010 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 108 = -4*z. Let k be 38\/z + 2 - 54\/(-27). Let w = 4 + 0. What is the second biggest value in w, k, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -979*w**3 - 1011*w**3 + 2975*w**3 - 974*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 21. What is the remainder when d(0) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d\/(d\/(d**(9\/4)*d)*d))\/(d\/(d\/((d\/(d\/(d*d**(1\/5))))\/d)*d)))\/(d**(-1\/12)*d*d**(-9)) assuming d is positive.\nAnswer: d**(197\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 16*n + 337. Let i be k(-21). Which is greater: i or -8\/1111?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 485*z + 1254. Let d be w(-3). What is the fourth biggest value in -0.1, d, 0.2, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 178637776 divided by -22329722\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**3*v**3 - 134*s**3*v**2 - 4205*v**6 + 95*v**2 wrt v.\nAnswer: 18*s**3 - 504600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 1\/7*z**2 - 1\/21*z**4 + 1\/21*z**3 + 1\/147*z**7 - 1\/35*z**5 + 0 + 72*z + 1\/105*z**6. Factor c(l).\nAnswer: 2*(l - 1)**2*(l + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1480\/592*((-499)\/(-45) - 2\/(-18))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.12, 0.6, 2, -1\/7, -2, -3\/7, -5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) 4 (b) -0.2 (c) 5 (d) -28726 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/35 (b) -2 (c) -0.4 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986.31594 rounded to one dp?\nAnswer: 1986.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2783 and 55407.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(-13*y + 5*y - 63*y)*(37*y**3 + 9*y**3 - 10*y**3) to the form h*y**2 + l*y**3 + g*y + k*y**4 + j and give k.\nAnswer: 2556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997076943?\nAnswer: 3, 110786327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/5)*m**10*(m\/(m*m\/m**(-18)))\/m*(m\/m**(1\/6))\/m assuming m is positive.\nAnswer: m**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-34)\/(-10) + 9\/15. Suppose -3*j - 2*i = -p*i - 1054, j - 4*i - 358 = 0. Suppose -j = 3*b - 8*b. What is the remainder when b is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.42 - -12.22. What is the closest to 1\/3 in 7, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*b - 16 = -68*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + 10. Suppose 5*q + 30 + t = 0. Calculate the common denominator of (5\/q)\/((-3)\/(-30)) and -121\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 822458589471331\/72820 + -11294405242. Let n = k + -6\/3641. What is the common denominator of n and -59\/25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 6*v = 5*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/27846 and -67\/546?\nAnswer: 27846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-4)*((-9)\/2)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(1\/10)\/(((j**1\/j)\/j)\/j)**48*(j**0*j**(-7))**(-1\/11) assuming j is positive.\nAnswer: j**(10641\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*r**3 - 13 + 11276*r**2 - 11276*r**2 + (-5*r + 4*r + 2*r)*(6*r**2 - 3*r**2 - r**2).\nAnswer: -23*r**3 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311229 is divided by 26?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**4\/2 - t**3\/3 + t**2\/2 + 1070. Calculate o(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -10*k**2 - 119*k + 10. Let q(w) = -2*w**2 - 24*w + 2. Let d(m) = -2*l(m) + 11*q(m). Let c be d(-13). Factor y - 2*y**2 + c*y - 2 + 3*y - 2.\nAnswer: -2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*49042.651.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11428 - 1211. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -17393?\nAnswer: 4\/17393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8 and -2.1.\nAnswer: 3.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3182 divided by 2.\nAnswer: 1591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 309\/221839 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 4*y - 25. What is z(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 245 and 229 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrtv. Give prob of sequence vvr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, n: 6}. What is prob of sequence bn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 1050 = 494*g, 0 = -4*g + 2*g + 2*k + 272 - 330 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4611361 nanometers to meters.\nAnswer: 0.0000000004611361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*p + 19, -q + 11 = -0*q + 3*p. What is the second biggest value in -0.3, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -16 - (-231 - -257).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*-4*4)\/(sqrt(9) + sqrt(45)\/sqrt(5)*6 - (sqrt(9) - (sqrt(9) + sqrt(27)\/sqrt(12)))))**2.\nAnswer: 131072\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 6*t - 798 = 0. Let v = 1.63 + -0.13. Let m = v - 1.4. What is the nearest to m in 0, 2\/3, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**3 + 3*z**3 + 11*z**3 + 8*z**3 - 49*z**3 + 5*z**3.\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036032401 to five dps.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7*r**(4\/9)*((r*r**(-1\/6))\/r)**(2\/13) assuming r is positive.\nAnswer: r**(868\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*z**3 - 2 + 3 + (2*z**2 + 4*z**2 - z**2)*(0 + 0 - 3*z).\nAnswer: -17*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/sqrt(7)*1 + (sqrt(18)\/sqrt(225))**2.\nAnswer: 2\/25 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3532.1 - 4341. Let x = -809 - n. Let p = 1 + -5. Which is the closest to x? (a) -5\/3 (b) -54 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54009153788.319916 + -54009027677. Let l = 126111 - d. Let s = l + 0.32. Round s to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 1680705?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -1, 18, -17, -4 in decreasing order.\nAnswer: 59, 18, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 82737.45l in millilitres?\nAnswer: 82737450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -61, -102, -149, -202?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12403 - -12429. Which is smaller: 23 or b?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26174 and 3424242?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 13\/2*f**2 + 15*f + 0*f**3 + 3\/5*f**5 + 0 + 0*f**4. Find the first derivative of r(g) wrt g.\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 5. Suppose 0 = x*a + 179 - 474. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077845071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, 2, 3514?\nAnswer: 3514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = g + 42, -2*g - 1 = a - 1 + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**5\/4 - x**4\/4 + 19*x**3\/4 + 13*x**2\/4 - 5*x\/2 - 2 = 0.\nAnswer: -1, 4\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 29 by 1657.\nAnswer: 29\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from bfbpbfffpbbpbbp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30960 + 3*k**2 - 30960.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 100\/(-10)*24\/(-10). Calculate the greatest common divisor of 60 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4, 21, 38?\n\"Answer: 17*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 21033200?\nAnswer: 21033201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63415575 to the nearest integer?\nAnswer: 7963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11 and -69\/94.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11795461*m**4 + 26961883*m wrt m.\nAnswer: 141545532*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 92 + 22 = 0. Suppose k - 12*f - 414020 = -y*f, -5*k + 2070004 = -f. Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 4*r**2 - 5*r - 1. Let c(b) = b + 13. Let u be c(-9). Suppose u*g = 4 - 24. Give y(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let k = 9.3 + -8. Let h = 1 - k. What is the nearest to z in -3\/2, 1, h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -41457.8 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3606571l?\nAnswer: 360.6571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (904\/28)\/(-6*(-5)\/105).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73.2 - 15.8. Let f = -93.1 - w. Let a = -4.10173 - f. Round a to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -2.8. Let q = -3 + z. Let n = 0.4 - q. What is the second smallest value in -3, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -958*h**6 + 60*h**6 - 1681*h**2 + 9*h**2 wrt h.\nAnswer: -107760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 45*n - 114. Let t be i(26). Suppose -4*w + t = -5*k + 27, 0 = -2*w - 5*k + 43. Calculate the greatest common factor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggzgwgge. Give prob of picking 1 e and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -4*b - 18, 0 = 73*s - 74*s - 3*b - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -13. Let u(q) = 7*q - 6. Let x(i) = -4*i + 3. Let t(a) = h*x(a) - 3*u(a). What is the first derivative of t(r) wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -69*w**3 - 9*w**2 + 28*w + 8. Let m(s) = 70*s**3 + 10*s**2 - 32*s - 8. Give -7*m(c) - 8*x(c).\nAnswer: 62*c**3 + 2*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y - 5865965 = 1661247. Is (-1)\/(((-42)\/y)\/(6\/(-4))) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*m = 35*m + 192. What is the second derivative of -69*f + 17*f - f**5 - 3*f**4 + m*f**5 + f**4 wrt f?\nAnswer: 300*f**3 - 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 390.8 + -392.5. Suppose 5*d + 7 = -8. What is the nearest to 0 in -0.2, r, 5, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.762 and 6.\nAnswer: 4.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**4 - 3810*a**3 - 282255*a**2 + 15240*a + 1129068 = 0.\nAnswer: -1191, -79, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 81, -6, -19 in increasing order.\nAnswer: -19, -6, 7, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 128984667793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2952320.\nAnswer: 2, 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from whhwhwhcchcahhww.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let x = 267.92 - 268. Let k = -0.05 - 2.95. What is the biggest value in w, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*w = 260*w + 1020 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - ((-12 - -3) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*n - 18, -3*n + 14*q = 9*q - 37. Solve -n*g + 0*s + 3*s = -20, 0 = 4*g - 4*s - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-39) - 0\/2. Let x = -0.01355 - 0.18645. Which is bigger: d or x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2 - (-14)\/4. Suppose -1 = -3*h - d, 2*h - 4*d - 24 = -0*h. Suppose -6 = -z - o + 9, l*z - 25 = h*o. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {p: 1, s: 3, b: 12}?\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 3 - 10. Suppose a = 3*q - 5. Let n(s) = -2*s - 13. Let c be n(-10). Solve q*r - c*r = -15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 18. Let g be (-2 + 0)*1*38\/2. Let f = g - -19. Let s be m(f). Solve -s = -4*u + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35519, 284177, 959109, 2273453, 4440347, 7672929, 12184337, 18187709?\nAnswer: 25896183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1756 less than -1756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 6 = u, 4*j = -2*u + 30. Suppose -j*a + 4*m = 3089, 0*a - 4*a - 2472 = -4*m. Let z = a + 1264. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 27 + 3. Let r = -23 - k. What is the remainder when 27 is divided by (r - -13)*1\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0.2. Let u = -3536 - -3535. Which is the closest to u? (a) 3 (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-720)\/(-38) + 407\/7733. Which is the nearest to -1\/3? (a) i (b) -2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 9*p**2 + 8*p - 1. Let s = 44 - 36. Suppose 25 = s*l - 3*l. Suppose -3*c + 4 = -0*c - l*i, 24 = 2*c + 2*i. Calculate m(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728 = 5*s - 9*s. Suppose -5*n + 5*u = -3 - s, 2*u = -n + 34. What is the second derivative of 12*v**4 - 3*v - n + 36 wrt v?\nAnswer: 144*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**2. Let r be ((-4)\/(-12))\/(2\/6). Suppose 2*a - r = 1. Let v(y) = -a + 2*y**2 + 1. Determine v(i(q)).\nAnswer: 18*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 101459268919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + (23 + 39 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 7. What is the highest common factor of m and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 3 + 1 + 0)*(2 + 2*d**2 - 2) to i*d**3 + m + b*d + o*d**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1573) + 3*(sqrt(1573) + 0 + sqrt(1573))) - (sqrt(78)\/(sqrt(18)\/sqrt(3)) + -3 + sqrt(13) + 1)*-4)**2.\nAnswer: -3824*sqrt(13) + 742637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(50) - (sqrt(162) - sqrt(162)*3)) + 4)**2*1.\nAnswer: 24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 g when three letters picked without replacement from {f: 1, o: 2, u: 9, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -r + 5*p, -14 = -5*r + 3*p - p. Solve r = 2*h - h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - -7 - 56) + 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*d = d - 7296, j - d = 1464. Suppose 0*b = -b - j. What is b rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 5*o + 43, 49*o - 48*o - 2*l = -15 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 107*z**4\/6 + 33*z**3\/2 - 459*z**2. Differentiate i(a) with respect to a.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12343386*u - 1951026 wrt u.\nAnswer: 12343386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -15\/2, 0, 3, -2, -19\/8?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 5, 2\/361, 0.7, 1, -0.16, -3\/7?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((-6)\/(-200)). Suppose 0 = l + 4 - 19. Suppose 0 = -l*a + 18*a - 30. What is the greatest common factor of s and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7573 - -6244?\nAnswer: -1327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4.5. Let t = -41 - -26. Let f be 38\/30 - (-9)\/t. Which is the nearest to -0.1? (a) -3\/5 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*d - 20 = 0, 4*d = -5*a - 99 + 110. Sort 1\/4, -401, -1\/4, a, -5 in ascending order.\nAnswer: -401, -5, -1\/4, 1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 6*o - 2. Let n be w(11). Let p = -32 - -34. Suppose p*l = 9 + 7. What is the greatest common factor of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49 - (38 - 23)) + -10 + 0\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 109, 113?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*k = -2*k - 232, 163 = 3*z - k. Let g = z + -38. Solve g = -9*r + 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 458 = -2. Is 114 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(108)\/(sqrt(54)\/sqrt(54)))\/(sqrt(36)\/(sqrt(6) - sqrt(486)*-1)))**2)*5.\nAnswer: 9005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -53 * 288\nAnswer: -15264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.19463 - -0.19463. Let l = 0.03 + -0.3. Let m = l + -0.03. Which is the nearest to m? (a) -0.5 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000042496 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-2)\/6*0. Let p = 115 - 463\/4. Which is greater: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72738958769 + 72738958769 - 3*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3\/5, -0.1, 5, 33 in increasing order.\nAnswer: -3\/5, -0.1, 3, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k**2 + 56 - 5*k**2 - 4798*k + 4846*k - 2*k**3 = 0.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 435 - 12*z - 7*z**2 + 3*z**2 - 443.\nAnswer: -4*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from bjjyzjpzpzydpyj.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 23*y**2 + 59*y - 207. Give h(25).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - 25, -2*j + 95450 = -4*n. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1035 is divided by 149.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s**2 + 4*s + 2. Let g(o) = -21*o**2 + 12*o**2 + 11*o**2 + 1 + 5*o**2 + 2 + 9*o. Determine 5*d(t) - 2*g(t).\nAnswer: t**2 + 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 4. Is 8 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s**2 + 12027*s - 3170828. Determine l(292).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-90) - (-4)\/(-6). Suppose -2*a - 2 = -3*a. Let q be -1 + 2 + (a - 2). What is the second smallest value in u, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i - 2*i + 2*i - i + 2*i - 2*i + (4*i - i - 4*i)*(4 - 3 + 0) + 1295*i + 422*i + 808*i.\nAnswer: 2519*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (27 + (-56 - -21)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 77696794*r - 3018395898939218.\nAnswer: -(r - 77696794)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 80 = 12*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -146.1 - -12.1. Let k = t - -133.999929. What is k rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 109, 876, 2955, 7000, 13665, 23604?\n\"Answer: 109*b**3 + 2*b**2 - 2*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 336 = 44*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d - d - 2 - 1. What is the lowest common multiple of 3 and x(5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21496*s**2 - 21502*s**2 + 64497*s**2 - 21500*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3*h**2 + 9*h + 13. Let t(p) = -5*p**2 + 16*p + 23. Let i(l) = -7*k(l) + 4*t(l). Let m(f) = 2*f**2 - 3*f. Determine -i(x) + m(x).\nAnswer: x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8 = -8. Suppose f = -2*g + 14. Suppose -g*q + 392 = q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 360. Calculate the remainder when 168 is divided by j.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74, -82, -92, -104, -118?\n\"Answer: -f**2 - 5*f - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3485 (base 13) to base 3.\nAnswer: 101010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 1}. Give prob of picking 1 v and 1 s.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -901 + 1003. Which is the nearest to q? (a) -1 (b) 5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/7117 and 609 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23816 is divided by 1501?\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300)*2 - sqrt(300)) + sqrt(300))*6)**2.\nAnswer: 43200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1050*w**4 + 78*w**3 + 2*w**2 + 398426*w?\nAnswer: -12600*w**2 + 468*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 792 + -415. Calculate the highest common divisor of 29 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwp when three letters picked without replacement from wwwwwwpwwwwwwww.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 5*t - 9. Let x be q(4). Put 1, 5, x in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/((616\/35)\/4)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2645)\/230 + 286\/11 + 4\/24.\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, h: 2}. Give prob of picking 4 w.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 30*a**6 + 312*a**5\/5 + 44*a**4 + 32*a**3\/3 - 1. What is u in x(u) = 0?\nAnswer: -2\/3, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 32 - 32 - 2*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -5*o - 18, 0 = 26*a - 35*a + 36 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -20 - 12*x**2 + 0*x - 4\/5*x**5 - 6*x**4 - 44\/3*x**3. Factor t(q).\nAnswer: -4*q*(q + 1)*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -z - 37, 5*y - 1 = 2*z + 33. Solve -4 = y*u - 10*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g - 4*g + 6*g)*((0 + 1 - 2)*(2 - 1 - 2) - 4 + 1 + 1 + (2 + 1 - 1)*(5 + 6 - 6)) as f + p*g and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 4. Find the common denominator of 1\/6*477\/6 and 52\/(-6)*o\/(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(44))\/((sqrt(216) + sqrt(6))\/sqrt(2)))**2.\nAnswer: 5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 334?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 816102 and 508.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14556447 divided by 1\nAnswer: -14556447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 3*d + 3. Let l be ((-10)\/8)\/(1\/4). Let a(m) = -m**2 - 12*m - 30. Let w be a(-4). Let k(j) = j**2 - j + 1. Determine l*k(z) + w*q(z).\nAnswer: z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22140495, 22140489, 22140483, 22140477, 22140471, 22140465?\n\"Answer: -6*f + 22140501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2899*h - 4*h**3 - 2899*h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 75775291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 31*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11867299 - 11867390 + 23734689 - 8*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.073 - -0.327. Let l be (29 - 27)*1\/(-10). What is the closest to l in k, 0.1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**5\/35 - 3*r**4\/28 + 2*r**3\/21 - 7. Factor p(l).\nAnswer: l**2*(l - 2)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*g + 3*g + 231, -5*a - 285 = 3*g. Let f = 68 + -105. Let q = f - a. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -13753.\nAnswer: 13756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 224357 - 1384*s + 15075 - s**2 + 3*s**2.\nAnswer: 2*(s - 346)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -490, -480, -458, -418, -354?\n\"Answer: f**3 + 3*f - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-138)\/(-15)*40\/(-4). Let y = 105 + -9. Let w = m + y. Solve 3*d = d + w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008 minus 0.009?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 35691*x + 8 + 10 - 35575*x as d*x + z and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86835 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5417727 (base 8) in base 16?\nAnswer: 161fd7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1181109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1062231 to 2 decimal places.\nAnswer: 3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 12 (b) -2 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v + 3. Let c = -1423 - -1422.6. Put 0, c, v in decreasing order.\nAnswer: v, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1088 + -733. Suppose 6*a - 4*r + 11 = 5*a, 2*a - 5*r = -10. Suppose -x = 2*x - 3*s - 219, -5*s + g = a*x. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*y + 32*y + 10 = -3*p, -3*p = -4*y - 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q - 1. Let g(o) = -5*o**3 + 4*o**2 - 4*o + 5. Let w be 2\/((-2 + -2)\/2). Let m(p) = w*g(p) - 4*n(p). Let l = -6 - -9. Give m(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t - 2182 = -119*g - t, 5*t + 18 = 4*g - 27 - 52 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81.4566779 + 68.0031.\nAnswer: -13.4535779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354057539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + -12. Let o be 7\/4 + p\/18. Find k, given that -1\/4*k**2 + 0 + o*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -99*g + 88. Let d(q) = -117*q + 91. Determine 3*d(m) - 4*n(m).\nAnswer: 45*m - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*o - 951*o + 488*o - 279 = 5*h, 3*o + 3*h = -129 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - sqrt(325)) + -3 - (sqrt(13) + 1*sqrt(39)\/sqrt(3))**2.\nAnswer: -55 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - 2*n**2 - 5*n - 3. Let s(h) = -3*h**3 - 2*h**2 - 4*h - 2. Suppose -8*k - 25 = 15. Give k*s(o) + 4*j(o).\nAnswer: -o**3 + 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38935)\/(-260) + -153 - 16\/(-6)?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -10*b**3\/3 + 73*b. Let j(t) = -49*t - 2. Calculate p(j(n)).\nAnswer: 980*n + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 9*l**2 + l - 2. Give k(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 18146*g**2 - 36298*g - 18150.\nAnswer: 2*(g - 9075)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1918 + -1918.2. Let l = 0.39 + 0.01. Which is the second biggest value? (a) -1.7 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 + 3 + -5 + 1 - -149?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-341)\/(-77) + (-20)\/(-35). Solve 2*t - 18 = 5*n, 0 = -w*t + t - 5*n + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312567 is divided by 138?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1157*j - 1097*j + 660*j to d*j + s and give d.\nAnswer: -1594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 104 = 6*g, -6*g + 18*g = 2*t + 9*g + 53 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.623036 to three dps.\nAnswer: 7.623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3843 and 8967.\nAnswer: 26901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63563 (base 11) to base 3.\nAnswer: -11200220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-24)*(-27040)\/780.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v**2 - 16*v - 13. Let b(r) = -5*r**2 - 9*r - 6. Determine 11*b(y) - 6*h(y).\nAnswer: -y**2 - 3*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -3*c + 11, -2*f + 41 = 5*c - f. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/sqrt(5) + (sqrt(5) + 3)*2)**2*-5.\nAnswer: -805 - 300*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1\/6, 14\/3, 0.019, -2, 0?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/246719 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 472, 478, 484, 490, 496, 502?\n\"Answer: 6*w + 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -314.1.\nAnswer: 1570.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 2 - q**3 + q**3 - q as u*q**2 + o + z*q**4 + r*q**3 + f*q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 + 16 = 0. Suppose 40 = h*r - 4*y, 4*y = 2*r - 0*y - 30. Suppose 2*d = 3*u - 3, 5*u - d + r = 17. Solve -u = 4*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 622400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -403, -1451, -2891, -4471, -5939, -7043, -7531, -7151?\n\"Answer: 42*v**3 - 448*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1392970330 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 233 - 209 = 0. Suppose 0*q = -5*h - 5*q, -h - l = 3*q. Solve 5\/6*y**h + 3*y - 4\/3 = 0 for y.\nAnswer: -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2 - 4 = 0. Let o be b*15\/(-6)*-1. Suppose -5*x + 2*x = m - 40, -o*x + 68 = 2*m. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 - -17. What is the least common multiple of 1 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*o - 44*o = -24*o - 276 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -101827.\nAnswer: -101827.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7099, 14134, 21087, 27916, 34579?\n\"Answer: -7*g**3 + g**2 + 7081*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (0 - (-1 + 2)). Solve r = 2*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y. Suppose q = -2*u + 218, 230 = 2*u - y*u - 2*q. Let x(i) = -i**2 + 112*i - 2 - u*i + 0. What is x(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 412.83963us to hours.\nAnswer: 0.000000114677675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96082 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, v: 9}. What is prob of sequence qv?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 5, -1, -14\/2789, -6 in descending order.\nAnswer: 5, -14\/2789, -0.06, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 10 = q - 3*x, -3*q + 6 = 3*x. Suppose 0 = -q*f - 8, 2*f + 10 = -4*o - 3*f. Solve 0*u + 2*u + 2 = o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/(q*q**(-5))))\/(q*q**(7\/4)*q)*(q**(-2))**(-3\/35)*(q\/q**(-1))**21\/(q*q**(2\/3)\/q)**(2\/3) assuming q is positive.\nAnswer: q**(44071\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*f - 63, -f - 14 = -0*t - t. Suppose -1 = -2*k + t. Let o = 4 + k. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4 = n. Let s be 0\/(n - 3) - -10. Suppose 0*d - 2*d = -s. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -50. Let z be r*(24\/(-9))\/(-4). Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -250*o - 51780. What is w(-207)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(70)*-2 - sqrt(70))\/sqrt(10).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p. Let d(y) = 4*y. Let g(l) = -5*d(l) - 3*q(l). Let u(r) = r**2 + 2*r + 1. Let k(m) = -7*m**2 + 4*m + 2. Let c(v) = -k(v) + 2*u(v). Give g(c(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = -28. Which is bigger: u or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 197. Do q and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67245623.\nAnswer: 67245623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 + 33692809*u\/2 + 33692811 = 0.\nAnswer: -2, 33692811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2\/580071 - 69801929\/15081846. Let v be -16*((-2571)\/(-1287) + -2). Let w = v + c. Find the common denominator of -77\/6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45956983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 2) + -1 + 5 - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38411893 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/6 (b) 58 (c) -3082 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1986 (c) 235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119711 times 0.5?\nAnswer: 59855.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -287 (b) -1195 (c) 1\/426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14298540620 rounded to the nearest 1000000?\nAnswer: -14299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 56?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.819 or -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3096 + -3057. Solve 36 = -3*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -17*j**2\/2 - 8*j - 26. Let w be n(-4). Suppose -l + 24 = -w. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-21)*k*k))\/k*k*k)\/(k*k**16) assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70783 (base 13) to base 4.\nAnswer: -301020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1122*o. Let s(a) = -602913*a**2. Calculate s(t(g)).\nAnswer: -758997529092*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611*t**3 - 789*t**3 - 590*t**3.\nAnswer: -1990*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8712613303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62805471 - -109396534. Let q = a - 46591023.999962. Let d = q + -39. What is d rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {a: 2, f: 2}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -14*i + i**3 - 16 + 21 + 51 - 6*i - 13*i**2 - 3*i**2. Let l be b(17). Solve -5*k + k = a - 1, 0 = 3*k - l*a + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2 + 8. Let x = i - -5. Let a be 2\/x - (-139999990)\/(-25). Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.233282ms to seconds.\nAnswer: 0.002233282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/4724 and -137\/486.\nAnswer: 1147932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3)*((-1683)\/2)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1063299 divided by 20849\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 27*v + 702 = 0. Calculate the highest common divisor of 954 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3 + 15. Suppose 4*w = -3*f + 29 + x, -3*w = 4*f - 64. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6 - 25*z - 24*z - 20*z + 76*z. Let o(r) = -3*r + 1. Let p(l) = -5*l + 2. Let q(f) = 7*o(f) - 5*p(f). Let w = -7 + 4. Calculate w*k(j) + 5*q(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, q: 5}. Give prob of sequence qqq.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33298\/5337 - 10\/593. What is the common denominator of 29\/90 and l?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 13, g: 3}?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 53*a + a**2 - 125*a + 73*a. Let y(l) = l**2 + 4*l + 3. Let d be y(-4). Let w(t) = -5*t**2 - t**d - 4*t**3 - 4*t + 3*t**3. What is 4*v(i) + w(i)?\nAnswer: -2*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14)*14\/4)\/(2217\/(-11824)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 + h - 1765 + 881 - 51*h**3 + 883 as z*h + l*h**4 + n + y*h**2 + g*h**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/193 + 438\/2509. What is the third biggest value in d, 1, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 127*b**4\/12 - b. Is c(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6) - 3\/(-2). Suppose -d = -p*d + 3. Suppose 2*f + 144 = d*f. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h + 7. Let m(v) = -v + 4. Let l be m(-3). Let c be i(l). Solve -c - 3 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2.1737 (b) 2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 14 = -w - 17*x, -3*x - 1 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.388 minus 793.3709418?\nAnswer: -788.9829418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 7 + -64 + 45\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 174.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -5*z, -4*y = 3*z - 76. Suppose -y*i + 3015 + 2361 = 0. Is 48 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 - 210 = 10*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3981418069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - q + 1. Let n(f) = 11*f**2 - 5*f + 3. Give -4*k(d) + n(d).\nAnswer: 7*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -4*j - 2 + 4 - 4. Let f(y) = -y + 5. Suppose 10*b = 9*b - 3*u - 1, 2*b = -3*u - 5. Calculate b*f(p) - 5*x(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -7*s**2 - 2772*s + 2772*s. Let n(r) = -4*r**2. Calculate n(h(v)).\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 4438 (c) -0.4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66853063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 99?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 5*t**2 - 12*t + 3. Let n be l(5). Let r = n - -61. Suppose r*g = -6*g + 2670. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187 and 2465?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q = -44*q - u + 17, -28 = 2*q - 4*u for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21\/(-14)*1\/9. Which is the closest to -0.4? (a) o (b) 1\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/(-5) + -2)*-10. Let a = -5 + 8. Suppose -3*y + 3*o + 11 + 1 = 0, 3*y + a*o = -12. Solve y = -4*w + h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -93*k**3 - k**2 - k - 1. Let l(r) = r - 6. Let w be l(5). Let c be g(w). Suppose n - 6 = 4*n, c = 4*o + 4*n. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**3 - b**2 + 3*b + 3. Let o be w(-1). Let k(y) = 2*y + 12. Let l(q) = -3*q - 19. Let c(f) = o*l(f) - 8*k(f). Determine c(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -888202 times -4?\nAnswer: 3552808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 11*h - 9. Let y be q(-12). Suppose l + 80 = -y*l. Let z be 8\/l + (-82)\/(-30). Which is the biggest value? (a) 4 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -160, 1, -4, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 6*c + 1. Let k(d) = 1 + d - 1. Let h = 0 + 5. Let a be (h - 3)\/(0 + 2). Calculate a*x(s) - 6*k(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67613, -273177, -615783, -1095431?\nAnswer: -1712121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7\/9)*m*(m\/(m\/(m\/m**(-1\/11))))\/m)\/((m**(-2\/27)*m*m*m)\/m)**23 assuming m is positive.\nAnswer: m**(-13063\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -6772*c**5\/5 + 22*c**3 - c**2 + 10*c + 4674. What is the third derivative of u(a) wrt a?\nAnswer: -162528*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a08 + 9995?\nAnswer: 107a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*q + 2*f + 60, -5*f = -4*q + 11. Let s = 170 - 121. Suppose -15 = 4*y + j - s, 2*y + j - 16 = 0. What is the greatest common factor of q and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -76, -161, -244, -325, -404?\n\"Answer: b**2 - 88*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 877 + -2434. Suppose 3*c - 1268 = -3929. Let i = t - c. What is i rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214 - 228. Let n be ((-26)\/(-1))\/(t + 16) - 2. Let m(g) = g - 18. Give m(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*i = 122*i - 20. Suppose 0 = 2*p - 3*p + 14. Suppose 0 = 2*l - p - i. Calculate the remainder when 14 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p + 184. Let x be n(10). Solve 4*l + 7*o = 3*o - 4, l = -x*o - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6 - 6) + 6 - 7) + -4 + 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o - 2*o + 3*o - 6*o + 0*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 188, 5, 2, 0, -61 in descending order.\nAnswer: 188, 5, 2, 0, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 45. Let s = -32.3 - n. Sort 31, s, -2\/15.\nAnswer: s, -2\/15, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 - 7*z**2 - 12*z - 10. Let y(t) = t**3 - 6*t**2 - 11*t - 10. Let d(o) = -4*u(o) + 5*y(o). What are the prime factors of d(-4)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*j - 91, -3*j - 68 = -r + 3*r. Let h = j + 182. Let p = h + -91. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*v - 1621, 5 + 10 = 5*v. Is d 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 42, 100, 174, 270, 394, 552, 750?\nAnswer: 994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 2*d**2 + 3*d - 1. Let o be p(2). Let r = 10 + -10. Let a(z) = -z**3 + 4. Let h be a(r). Solve 0 = -o*n + h*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35957 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from ccvcvvcvvvcvcvvc?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247 = -84*t + 87*t - 4*u, -4*t + 312 = -u. Calculate the greatest common factor of 1771 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5035028 and 2036.\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 12:05 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1514989, 1515037, 1515085?\nAnswer: 1515133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Let p = h + 1. Suppose -p*k + 502 + 30 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4443, -17752, -39925, -70956, -110839, -159568, -217137?\nAnswer: -283540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let n = 69 - 66. Suppose f = 3*c - n, 1 = -k - 3*c + 16. Calculate the remainder when 47 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 28751136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 4380 = 3*b. Round b to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0 = 3*i. Suppose i = -3*v + 13 + 35. What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (1 + -1 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 7752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-18 - (-2 - 0 - 4)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(343) + -3 + (sqrt(343) - ((sqrt(343) - (sqrt(343) - sqrt(343)*2)) + sqrt(343))) + -4)**2 + -1.\nAnswer: 392*sqrt(7) + 5536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w + 5656278*w**3 - 5669871*w**3 - w.\nAnswer: -13593*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -394*d + 390*d + 1991, -v + 993 = 2*d. What is the lowest common multiple of d and 4?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -2*o - 856590, -q = 3*o + 1348774 - 63864. Let w = -3431707\/8 - o. Let f = -649 - w. What is the common denominator of -13\/12 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -23185, -23188, -23193, -23200, -23209?\n\"Answer: -k**2 - 23184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2 + 2)*(2 - 1 - 6)*(-6*r + 2*r + 0*r).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -482, 930, 2, 15 in decreasing order.\nAnswer: 930, 15, 2, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -378, 3, -2, -3, 0 in decreasing order.\nAnswer: 4, 3, 0, -2, -3, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-5)\/c))*(c**(-3\/11)*c)\/c)**(1\/4)*c**4*c**(2\/7)*(c\/c**(-1))**(-15\/2) assuming c is positive.\nAnswer: c**(-1853\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125)*-1 + 1 + sqrt(45) + 1 + sqrt(5) + 0 + -1 + (sqrt(160)\/(sqrt(48)\/sqrt(6)))\/(sqrt(4) + sqrt(100)*3).\nAnswer: -15*sqrt(5)\/16 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 - 8*r**2 - 8*r - 4. Let s be f(-3). What is the second derivative of 4*p**s + 6*p + 54*p + 38*p + 20*p**5 - 20*p wrt p?\nAnswer: 400*p**3 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*o = 295 - 433 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3889 is divided by 67.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -8*o**2 - 177*o + 1361. Give i(-28).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.05 - 0.05. Let n = t + -2. Let v = n + -1.996. What is v rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 21. Is (14\/4)\/(p\/(-42)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 1523*l + 249. What is the tens digit of y(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40829929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 1. Let z(c) = c**2 + 6*c - 1. Let u be z(-6). Let i be k(u). Let d be (i\/(-4))\/((-3)\/(-6)). Is d at least -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.0367, -1, -4, 0 in decreasing order.\nAnswer: 0, -0.0367, -1\/2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161390291.\nAnswer: 161390291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1869 and 5.\nAnswer: 9345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i**3 - 9*i**3 - 8*i**3 + 37*i**3 - 11*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-seven fifths of a millennium?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3633*l - 19220 = -448*l - 1769 + 15197 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.96 - -1.07. Round d to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 15 + 9 = 0. Suppose -n - 6 = 2*b. Sort -5, b, -2 in descending order.\nAnswer: -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {v: 1, p: 2, j: 1, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 0, -67, -134, -201, -268?\n\"Answer: -67*b + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 22. Let a be (-3 - -5)*(-9)\/(-6). Put 2, b, a in ascending order.\nAnswer: b, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j - 588 = -796. Let m = 9 - 12. Let q = m - -7. Solve q*y = y - 12, r - 3*y - j = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 21. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 15 = -3*i, -g + 20 - 7 = 5*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1d32da (base 14) to base 8\nAnswer: -3773040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32015?\nAnswer: 5, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1500*m**2 - 5*m + 3. Suppose -42 = -5*h + 3*x, 0*x = 3*h - x - 26. Let d be ((-2)\/(-3))\/(-1*3\/h). Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 312207*s**2 + s**3 + 332*s**6 - 316449*s**2 + 64*s**6 wrt s.\nAnswer: 47520*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -8, 0.4, 3, -2\/7629, 1\/4?\nAnswer: -2\/7629","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*c = 104*c - 25. Solve -3*i + c = 4*n, -13 = -n - 4*n + 3*i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/(f**(2\/9)\/f)*(f\/((f\/f**(-5\/6))\/f))\/(f**(-5)\/f*f*f))**43 assuming f is positive.\nAnswer: f**(6149\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139 + 971 = -71*s + 7*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -46*b**2 + 123*b. Let x(y) = 16*y**2 - 41*y. Calculate 6*s(z) + 17*x(z).\nAnswer: -4*z**2 + 41*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 + -241. What is the units digit of (-8)\/20*k - -172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -95. Solve 0 = -3*r - r - j, 2*w - 3*r = 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 7*t - 10. What is the tens digit of b(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -435 - -438. Factor 0*q + 3\/4*q**5 + 0 + 9\/4*q**t + 3\/4*q**2 + 9\/4*q**4.\nAnswer: 3*q**2*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323419.\nAnswer: 323419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 7*y = -25 + 5, 374 = 5*t + 116*y + 21 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 10 - 8 - 1085*q**2 + q + 31.\nAnswer: -1085*q**2 + q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/34 - (-1081)\/2397. Let y be (-10 + 13)\/(20\/6). Which is the nearest to 1? (a) 1 (b) -0.2 (c) i (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*o**3*v**3 - 1319913*o**3*v + 3*o**2*v**2 + 522524*o*v**4 wrt v?\nAnswer: -42*o**3 + 12540576*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 336.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s**2 - s. Let f be q(-1). Calculate the highest common factor of f and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qz when two letters picked without replacement from qqqzzzzzzqqqq.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7785 + 0.2215. What is the biggest value in -1, w, 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.5, -0.217, -4\/7 in increasing order.\nAnswer: -4\/7, -0.5, -0.217, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.015 - -0.035. Which is greater: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 3*t**2 - 4*t - 4. Calculate d(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15)*(-6)\/12*5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtftwww. What is prob of sequence tw?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -5*k - 6*d + 350, 3*k + 2*d - 226 = 0. Suppose -4*r = -8*r + k. Calculate the smallest common multiple of r and 15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 298540443 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 divided by 18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50511 and 707154?\nAnswer: 707154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b + 9. Let m be l(-12). Let n be -1*(m - -6)*-1. Solve 5*t = n + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**4 + 243 - 482 + 244 + 5*x**2 wrt x.\nAnswer: -240*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -874, -8, -2, -7, -5, 0 in descending order.\nAnswer: 0, -2, -5, -7, -8, -874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -3\/1027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30569.\nAnswer: 7, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4788459 to the nearest 1000.\nAnswer: -4788000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1143721746?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -12*f**2 - 2. Let v(o) = o**2. Let b(g) = d(g) - 2*v(g). Let c(m) = 2*m**2. What is c(b(w))?\nAnswer: 392*w**4 + 112*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 - 1.5. Let t = 10 + 1. Let l = 7 - t. What is the closest to s in l, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m**2 - 2*m + 2. Let o be 10\/(-3) + 36\/27. Calculate x(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 958803*u**3 + 2565889?\nAnswer: 2876409*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9511 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 20 = -4*d + 26, 12 = -5*d - 2*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*3\/1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) + sqrt(112))*-1 - 1*sqrt(126)\/sqrt(2).\nAnswer: -11*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0 + 0*v**4 + 12*v**2 + 0*v - 3\/20*v**5 + 7\/6*v**3. Differentiate r(a) wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.22 + 0.56. Let y = p + 0.16. What is the nearest to 1\/2 in -0.4, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2 + 3. Let x be (1\/(-1)*2)\/r. Suppose x*h - 240 = -3*h. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/55 - (-4)\/(-20)*13?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*b + 8*b. Let c be (-1)\/(2*b\/(-680)). What is the highest common factor of 17 and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 4*i**2 + 2*i. Let j be b(2). Suppose -180 = 5*c + j*g - g, 108 = -3*c + 5*g. What is the common denominator of 304\/c - (0 + 0) and 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/12)\/(136\/(-204))*-6?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 - -88. Calculate the common denominator of 1 + -1*t\/(-28) and 151\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 1:30 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -39. Let g be ((-135)\/(-50) - w)\/(12\/(-10)). Let t = -4 + 7. Which is the nearest to -2? (a) t (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p + 4 = 0. Find the first derivative of 0*r + 0 + 2 + p*r + 0 wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*w - 2, p = -5*w - 2 + 7. Let o(g) = g**2 + 8. What is o(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13837 times 5.214\nAnswer: -0.72146118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*t**3 - 42*t**2 + 14 + 42*t**2 with respect to t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 2*c - 4. Let t be j(4). Suppose -4*f = -0*f - t. What is the third derivative of v**2 + f - 5 - 2*v**4 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 643 - 643. Which is the biggest value? (a) 78\/7 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 8*j**2 + 5*j + 3. What is l(-4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(2299) + sqrt(2299) + 0)**2.\nAnswer: 9193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b + b + 5*b - 16*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7107.0308 at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*n**2 - 768*n - 2893 wrt n?\nAnswer: -20*n - 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*z - 16 = -113*z. Let f(m) be the second derivative of m**4\/12 + m**3\/6 + 12*m - 3. Let j(s) = s. Calculate z*f(d) - 2*j(d).\nAnswer: 4*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21594 by -122.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 391169\/39 + -10029. Let y = f - 4\/13. Factor 0*i + 0 + y*i**2.\nAnswer: 2*i**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 3. Let i(z) = -10*z + 18. Let t(r) = -6*d(r) + i(r). Let m(w) = 337*w**2. Determine t(m(h)).\nAnswer: 674*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 != -1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3.5. Let q = -16\/3 - -17\/3. What is the second biggest value in w, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 + 0*u**5 + u**5 + (2*u**4 + 2*u**5 - 2*u**4)*(1 + 1 - 4) - 42*u**4 + 42*u**4 + 38*u**5.\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**5*n - 38440*a**5 + a**2*n - 21*a**2 + 3*a*n - 234*n wrt a.\nAnswer: -120*a**2*n - 2306400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13.05 + -13. What is the closest to 0 in 0, -3, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z = 24. What is the units digit of 2\/4 - z\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 881113 divided by -1\nAnswer: -881113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -11. Suppose -2*o = -3*t - 19 - 28, m = 2*t. Find the second derivative of 2*q**4 + 28 - q - o wrt q.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + 4 - -11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22381285 and 9020.\nAnswer: 984776540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1227200722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 1. Let b(l) = 19*l. Let g(q) = 3*q + 1. Let j(m) = b(m) - 3*g(m). What is 5*a(f) + j(f)?\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y - 70 = 0. Let b(x) = -x**2 - 3*x + 3. Let r be b(-6). Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*q - 48*q - 1420 + 2564 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-6)\/8)\/((-3009)\/(-472)))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 2244*d**3 - 6768*d**2.\nAnswer: 4*d**2*(d - 3)*(d + 564)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -25*w + 25. Solve -11*g + w*g = -35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 6. Let y be p(6). Suppose -j - 3*j = y. Calculate the common denominator of 134\/(-16) + 2 + j and 31\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/13 - 64*q**3\/13 - 204*q**2\/13 - 16*q - 70\/13 = 0.\nAnswer: -1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*s = 39*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.83074 millilitres to litres.\nAnswer: 0.00583074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 374016 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 2. Let i be y(-4). Which is the nearest to 1? (a) 3\/8 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 22*o - 810 = 0. Round o to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1703*y**3 - 1124*y**2 - 2*y wrt y?\nAnswer: 10218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 7*g**5\/60 + 2*g**2. Let m(x) = -123*x - 136*x + 258*x. Determine m(s(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*n - 5 = 0, 28*n = 17*n - 44 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + i + 4*i)*(-6 + 0 + 1) + i + 2*i - i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17cba80 + 50?\nAnswer: 17cbad0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.1681501+-482\nAnswer: -481.8318499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -12144?\nAnswer: -12203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-19*b - 9*b + 7*b) in the form y*b + z and give y.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 82*b + 1061. Let v be d(-13). Let g(h) = -5 - 1 + 2*h - 13*h. Let c(p) = 12*p + 7. Determine v*g(o) - 4*c(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 37*f - 78*f + 34*f - 32. Let h be z(-6). Calculate the highest common factor of h and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 154*z**6 + 2*z**5 + 2*z**3 + 5*z**2 - 2*z - 426 wrt z.\nAnswer: 18480*z**3 + 120*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/((y*y*y**(1\/4)\/y)\/y))*y))**15)**(3\/10)*((y\/(y**(-6\/7)\/y))\/y)\/y**1*(y*y**(-2))\/(y*y**2) assuming y is positive.\nAnswer: y**(-491\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 38. Solve -5*n - s = -3*n + d, 0 = 2*n + 2*s + 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1926 or 3\/10?\nAnswer: -1926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 88.74782ng?\nAnswer: 0.00000000008874782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x + 6*x - 5*m + 53, 2*m - 17 = x. Solve 7\/5*f**2 - 8\/5*f - 1\/5*f**x - 16\/5 = 0 for f.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985360.\nAnswer: 2, 5, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/5 - (-14)\/(-5) - -6. Suppose -95 - 5 = -10*h. What is the least common multiple of h and (0 + -2)\/(m - 78\/24)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -136*h + 439. What is k(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 37*w**2 + 38*w + 78. Let z be p(-36). Let q = 324 - 320. What is the nearest to q in -0.4, z, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267151589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 67 = -2*g. Let f be -5*(-1)\/(2 - 1). Let t = -3 + f. Solve -4 = -t*q + k, -4*q = q + 5*k - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -314631?\nAnswer: 314624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 15834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12818801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**2 - 85*x + 975. Let q be d(13). What is the highest common factor of 104 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 2*g**2 + 3*g**2)*(94 + 16 - 39) + (-g + g - 3*g**2)*(1 - 5 + 3).\nAnswer: 74*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4*m + 8*m = -7, a - 4*m = -11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47589919 divided by 11713.\nAnswer: -4063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/75)\/((-5)\/(-15)*-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8 - 7*n - n**2 - 3 - 2. Let u be (-2)\/5*1085\/62. Give j(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from tyytyeybeyytybby?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446451076?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -6, 3*p = 3*v + v - 67. Suppose -t - 109 = -4*t + k, t + 2*k = 34. What is the remainder when t is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/36)\/((-2)\/147). Find l such that -90*l**3 + 36*l**2 - 16*l + 60*l**2 + 6*l**3 - u*l**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1010110001?\nAnswer: 1010101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(-8 - 1180\/(-72)). Calculate the highest common factor of 12533 and x.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16038 and 1809.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2. Suppose 0 = -m - 3*l + 3, 4*m + 2*l = -l + 39. Let u(i) = 11*i**2 - 21*i**2 + m*i**2. Determine u(z(j)).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133796007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1049 - -1051. Solve -4*a - 8 - 11 = -n, -s*n + 26 = -5*a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83665 to the power of 1\/2, to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 = -a - 3*a. Let t = -30 + 35. Suppose -t*o + a = -0*o. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 383.1 + -410. Let r = i - -28. Let t = r + -1. Do -9 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + p. Let a(t) = -9*t**2 - 3*t. Let n be (-2)\/(-2)*13 - -1. Let i(y) = n*s(y) + 6*a(y). Factor i(g).\nAnswer: 2*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10927867 (base 10) to base 15\nAnswer: e5cd47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 679119.8 rounded to the nearest ten thousand?\nAnswer: 680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.40608 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**4\/4 + 9*o**2 - 12*o = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -29*x**3 - 6*x**2 - 4*x - 1. Let d be l(-1). Let j(v) = 7*v + 4. Let k be j(8). Suppose -24*s = -d*s + k. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 6*x**2 - 8*x + 7. Let r be h(7). Suppose r = u + 3*o - 14, -5*u + 70 = -4*o + 8*o. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (16 - 19)) + -7\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f + 40 = 0. Let g be (3 - 20\/(-15)*-2)*3. Which is the smallest value? (a) g (b) 3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-9 - -9 - 6 - -14) - 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s + 2. Let h(y) = -2*y + 8. Let n(l) = h(l) - 4*k(l). Let a(d) be the third derivative of -d**5\/20 - d**2. Calculate n(a(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -8333107.\nAnswer: -8333107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*j + 3*j + 3, -n - 3*j - 13 = 0. Solve 2*a = -q - 8, 2*q = 5*a - q - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/5 - 27172*x\/5 - 27171\/5.\nAnswer: -(x + 1)*(x + 27171)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 83 - (3 + (-15 - -15) + (1 - -3))\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + -1 + sqrt(275) + sqrt(275) + -1)) + 4*sqrt(44)*-2)**2.\nAnswer: -104*sqrt(11) + 7440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1032, -1031, -1030?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 4*m - 1. Let x be p(5). Let r(n) = -2*n + 9. Let q be r(x). Suppose u + q - 134 = 0. What is the greatest common factor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2567 - -5272. Find the third derivative of 2705 - 43*u**3 - u + 38*u**2 - b wrt u.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*r**3 + 1860370*r**2 - 3*r - 117385.\nAnswer: 18*r + 3720740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + -6 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 3887870.\nAnswer: 3\/1943935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148964, -297940, -446926, -595928, -744952, -894004?\nAnswer: -1043090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(3*w + 2*w - 4*w)*(0 - 2 + 1)*(-17 + 1 - 9).\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1433 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 51\/238*(-4)\/3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7467 and 262.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/4 > -23.133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155845*q**2 + 23*q - 23*q.\nAnswer: 155845*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10. Let u be x(0). Let i = -9 - u. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43\/14 + 3\/7. Let x = r - 3. What is the nearest to 0 in 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine sixteenths of a kilometer?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1101 or 1097?\nAnswer: 1097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/9)*w\/(w\/(w**(2\/33)\/w))*w)**39 assuming w is positive.\nAnswer: w**(-208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110947?\nAnswer: 110947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (73\/(-146)*-1)\/(-7*3*(-2)\/(-18)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 - 34*r**2 + 0*r**2 + 4*r**2 + 30*r**2 + 6.\nAnswer: 2*r**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -136*g + 146*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 7:29 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -933.76652 + 0.06652. Let s = l - -855. Round s to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*l - 8. Let a be -5*(-1)\/(-5)*-1. Let o be ((-12)\/4 - l)*a. Which is smaller: o or 1\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49\/2 (b) 7647 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7549568963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.042 + -0.042. Let y = -31 + o. Let w = 14 + y. Which is the second biggest value? (a) -5 (b) 1\/5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.63991 millennia to centuries.\nAnswer: 346.3991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 816 + 5569. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*c*q**3 + 10*a*q**3 - 42*a*q**2 + c*q**3 - 2*c*q**2 wrt q?\nAnswer: -18*a*c + 60*a + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -4*(2*(sqrt(200) + -1 + sqrt(200)) + -1 + sqrt(200) + -2 + -4)**2.\nAnswer: -20324 + 3600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7321160 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7075\/13 - -545. Let h = 143 - 76. Let l be 1*5*1 - 335\/h. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*o = -2 - 10, 0 = 4*z + 3*o - 28. Let h(n) = 6*n + 5. Let x(s) = -5*s + 1. Let i(a) = 4*a - 1. Let c(l) = -6*i(l) - 5*x(l). What is z*c(t) - h(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*4*4\/32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -3 - 7. Suppose 0 = u*m - 5*m + 9. Suppose m*n - 4*o - 70 = 0, 0*o = 4*n - 2*o - 90. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -1\/60*p**6 - 4*p**2 + 0*p - 1\/15*p**5 + 0 + 0*p**3 + 0*p**4. What is the third derivative of o(l) wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-8 + 4 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 6*d + 4 = 0. Let t(n) = 56*n + 28. Let s(h) = -69*h - 33. Let a(p) = -4*s(p) - 5*t(p). Give a(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 86406095 to the nearest integer?\nAnswer: 9295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -34\/15 (b) 2 (c) 3 (d) -5 (e) -1 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 245, 0.2, -1\/6, 1\/6, 2.\nAnswer: -2, -1\/6, 1\/6, 0.2, 2, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -199258929*u - 284270769 with respect to u.\nAnswer: -199258929","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587180.\nAnswer: 2, 5, 11, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/12*((-60)\/(-18) + -3). Put p, -1, -0.058, -2\/25 in decreasing order.\nAnswer: p, -0.058, -2\/25, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6373 (base 14) to base 10\nAnswer: 17153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 15\/9)\/((-20)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + sqrt(832) + -1 + sqrt(13) + 0 + (sqrt(260)\/(sqrt(160) - sqrt(10)))\/(3*1*sqrt(2) + sqrt(2)))**2.\nAnswer: -109*sqrt(13)\/2 + 155173\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3745853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -42*i + 170. Let m be y(4). Let d(u) be the second derivative of -5\/2*u**m + 0 + 3*u + 5\/3*u**3. What is the first derivative of d(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/100 - u**4\/20 - u**3\/10 - 5*u**2. Factor k(y).\nAnswer: -3*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350810, -1403247, -3157308, -5612993?\nAnswer: -8770302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + -40. Let v = 107 + x. Let k = v - 60. Which is bigger: k or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-66))\/((23\/(-23))\/(3\/(-19)))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**3 - 44*t + 44*t + 4*t**2 + 2*t**3 + 2*t + t**2 - 3*t**2 + (3*t**2 - 3*t**2 - t**2)*(-2*t + t + 0*t).\nAnswer: 12*t**3 + 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k - 1)*(3 - 2 + 1 + (-3 + 5 - 1)*(3 + 1 - 5) + 887 + 2662 + 650)*(-3*k - 2*k + 4*k).\nAnswer: 4200*k**2 + 4200*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -519 + 519. Suppose 0*z - 2 = 2*f - 5*z, 5*f = z - 5. Let q be f + (20 - 1 - -2). Solve 0 = 4*w - q, v*b + w = 4*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23487.29 litres to millilitres.\nAnswer: 23487290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 65*n**2 - 2*n + 4. Let l(a) = 4*a**3 - 196*a**2 + 7*a - 14. Give -7*j(i) - 2*l(i).\nAnswer: -i**3 - 63*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12 - (-3 + (-4 - -9)). What are the prime factors of (2 + -1)*-86*(-5)\/z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 213*r + 132. What are the prime factors of i(32)?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -111 (b) 0.3 (c) -1\/3 (d) -2\/104255 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 1396236.\nAnswer: 9773652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -807*r**4 + 433*r**4 - 3 + 2*r**2 + 2*r**3 - 43*r + 376*r**4 as q*r**3 + i*r**2 + t*r**4 + c*r + u and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3))**(34\/3)\/((m**12*m)\/(m\/m**(-1\/15))) assuming m is positive.\nAnswer: m**(-173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168876\/(-9) - (4 + -2). Let t = m - -225319\/12. Let f = -9865\/22 + 452. Find the common denominator of t and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430 - 1214 - 1216 + 6078*q**2.\nAnswer: 6078*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -425, -884, -1347, -1814?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63344894?\nAnswer: 2, 31672447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1049623609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(3 - 6\/3). Solve f = -0*p - p - 5*x - 7, -4*x = 5*p + 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -112504799, -225009603, -337514407, -450019211, -562524015, -675028819?\n\"Answer: -112504804*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*o + 2*f, 4*f = -o + 7*f + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5730 = -s + 3*b, 2*b = -5*s + 9522. What are the prime factors of s?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 811780007.\nAnswer: 109, 7447523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -186, -3, -5, 0 in descending order.\nAnswer: 0, -3, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/5, -1, 1\/4, 21255, -2, -0.04?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-8)*460288\/21576?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 818931 and 13659?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -444, -993, -1762, -2751, -3960, -5389?\nAnswer: -7038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = 0, -c = 5*y + 2*c - 16. Suppose 2*g + 6 = 2. Suppose 4*f = 3 + 9. Put g, f, y in ascending order.\nAnswer: g, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8351 is divided by 557.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + 2*i, -5*k + 3*i + 15 = -0*k. Suppose 0 = -m + k*m - 1662. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 715619119 to the nearest integer?\nAnswer: 26751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/757987 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -739 in 0.4, 16, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*((0 + 0 - 4*x**2)*(-2*x + 0*x + x) + 5*x**3 - 4*x**3 + 2*x**3).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19045706.\nAnswer: 2, 9522853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**5\/140 - 155*y**4\/42 + 3*y - 620. Solve l(o) = 0.\nAnswer: 0, 310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-14)*(68\/(-141))\/34*(-231)\/22.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 755146499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 5171877.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 571453665 + -571453639.9000277. Let y = 2.3 + 22.8. Let h = y - u. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 4. Let s be l(-5). Let k be 0\/(2*1\/s). Suppose -5*d - x - 53000002 = 0, -3*x = -k*d + 2*d + 21200006. Round d to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, l: 2, i: 4, m: 4}. What is prob of sequence mmli?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 0.4, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.02123969 to 3 decimal places.\nAnswer: -1.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28252\/5 - -5651. Let i be (8\/(-130))\/(22\/(-55)). What is the biggest value in 3, i, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1458))\/(sqrt(294) - (sqrt(294) - 4*sqrt(294))).\nAnswer: -9*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/10 - 29\/10. Let w = -170 - -210. Which is the fourth biggest value? (a) w (b) v (c) 3\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135\/2 + -67. Let f(x) be the first derivative of 0*x - t*x**2 + 0*x**4 + 2\/5*x**5 - 3 - 2\/3*x**3 + 1\/6*x**6. Solve f(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - k**2 + 6*k**2 - 2*k**2 + 8 to g + d*k + n*k**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1706 - -387. What is the hundreds digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = -3*h, -3*f + 0*f = -h + 18. Let o(s) = -s**2 + 5*s - 2. Let n be o(h). Solve -w + n*w = 9 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 26046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 160 - 143. Let v = -22 + i. Let l(a) = -2*a**2 - 7*a - 7. Calculate l(v).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -158*s - 5. Let f(l) = 126*l + 4. Let x(t) = 4*b(t) + 5*f(t). Let m(g) = 26*g**2 - 13*g - 4. Give x(m(r)).\nAnswer: -52*r**2 + 26*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -3*s, 5*o + s - 18 = 3*s. Let i = -58 + 63. Let h = o - i. What is the nearest to h in 0, 1, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 7) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-130) + -2*((-30)\/(-100))\/3. What is the smallest value in -0.5, x, -6, 2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 723233712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/48*1\/(2\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4849, 4850, 4851?\n\"Answer: r + 4848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -3, 0.06?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 917 - 212 = 3*g. What are the prime factors of g?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*p + 355*p - 133*p.\nAnswer: 456*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-945)\/5985)\/((-60)\/(-285))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 253390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*3\/6 - -11*3. Let x = i + -38. What is the common denominator of 91\/4 and 133*(x - 95\/(-30))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 3*g - 208. What is the units digit of g*-1*3\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1542548)\/1068*(-201)\/7. What is the highest common factor of 67 and u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14)*49\/(-28)*4. Let n be (-2*3 - k)*(-4)\/8. Solve 2*z - 18 = -2*a - 0*z, 0 = -3*a + n*z + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 679087790?\nAnswer: 2, 5, 67908779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-3) + 1\/(-1). Suppose i = -2*d - 3*b + 107, 2*d - 5*b = 52 + 79. What is the remainder when d is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + 104?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 = 75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 17 - 42 = -v + 4*z - 2*z, 20 = 2*v + 5*z - 24 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 10*w + 8. Let a be q(4). Suppose a = 9*y + 10*y. Suppose -52*v + 50*v + 4 = y. Solve -v*k + 10 = -0*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 16. Let q(f) = f - 17. Let o be q(7). Suppose 2*i - 3*i = 4*u + 15, 0 = 3*u + 15. Calculate the remainder when h(o) is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.9 or -714840?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 0.0149362\nAnswer: -0.0349362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3729255977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x - 159 = 435. Let c = x - -101. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -23. Suppose 4*c = -u*c + 1344. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/15)\/(3\/18) + 56\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14016, 28229, 42442, 56655, 70868?\n\"Answer: 14213*k - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14105.2101 rounded to the nearest 100?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-3) + 2 - (-10 + -111).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5 - 40*g**4*u**3 - 5*g**2 + g*u**3 - 3*g wrt g?\nAnswer: -120*g**2 - 960*g*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from {z: 2, w: 5, r: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53\/534 - -6\/89. Let f be (-107)\/(-132) + 2\/(-3). Let s = f + 1\/44. What is the common denominator of s and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 12 - 10) + -5 + -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - s + 5 = 0, -2*s - 25 = -7*s. Let c(d) be the second derivative of -d**3\/6 - 3*d**2\/2 + 51*d. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3274, 1, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, -0.1, 250 in increasing order.\nAnswer: -0.5, -0.1, 2, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44279*-4.\nAnswer: -177116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 64. Let k be (1\/3)\/((-5)\/z). Is (1 - -672)\/(2 + k\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*g + 5*g = 1197. Let d be 10\/100 - g\/(-10). Suppose d*u**3 + 0 + 2*u**2 + 2\/3*u**4 + 2\/3*u = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.47 + -0.57. What is the nearest to -1 in 1\/3, q, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 5053471858.1.\nAnswer: 5053471858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -323 (base 6) in base 4?\nAnswer: -1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 9:12 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -21*d + 5. Let y(t) = -7*t + 2. Let i(n) = 2*l(n) - 7*y(n). Let v(r) = 6*r - 3. Let o = -84 - -58. Let h = o - -23. Determine h*i(f) + 4*v(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 9) in base 11?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 943160 a multiple of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -55. Let x(w) = 8*w**3 - 20*w**2 - 2*w + 40. Let i be x(h). Round i to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*p - 75*p + 143*p + 5*p**2)*(-1 + 15*p + p + 43*p).\nAnswer: 295*p**3 - 123*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 23 - 2 = 0. Solve 0*a + o*a + 9 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*b - 3*v = -26*b - 40370, -5*b + 50477 = 11*v. What are the prime factors of b?\nAnswer: 10091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 0.16\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 10203287?\nAnswer: 10203301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -2, 14, 12, 0 in increasing order.\nAnswer: -2, 0, 12, 14, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -0.2. Let z = -0.48 - -0.5. Let u = -1.02 + z. What is the third smallest value in 0.2, u, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**5\/60 + 2*z**3\/3 - 3. Let l(t) be the third derivative of x(t). Let y(p) = 1 - 3*p**2 - 1. Give l(y(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 174582 + -2?\nAnswer: 174580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 10*k - 1870. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-5) + 116\/10. Suppose 3*p + 0 = q. Suppose -4*n + 6*n + 72 = 4*b, -3*b + p*n = -49. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(495)*3 - sqrt(495))\/(2*(sqrt(9) - sqrt(9)*-2)))\/(-3*-6*sqrt(44)\/(sqrt(8)\/sqrt(2))).\nAnswer: -4*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwuwwwwwwu. What is prob of picking 2 u and 1 w?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 u when four letters picked without replacement from {u: 1, n: 4, w: 1, r: 1, g: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let j(y) = y**3 - 10*y**2 + 7*y - 3. Let w be j(10). Let u = w - 47. Solve -4*k + h*k - u = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 1. Let n be 1*(0 + -1)*-1. Suppose 0 = -7*s + 8*s - n. Let m = 6 + 0. Let o(b) = 8*b**2 + b + 5. Give m*j(q) + s*o(q).\nAnswer: 2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 42570\/29025 - (-8)\/(-60)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/((-504)\/248 - -2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116, 432, 950, 1664, 2568, 3656, 4922?\nAnswer: 6360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) - sqrt(152)\/(sqrt(12)\/sqrt(3)))*-1)\/(sqrt(6)\/(sqrt(432) - (sqrt(432) + (sqrt(432) - sqrt(432)*3)) - sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n - 3*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -13. Suppose g = -w*o - 2 + 7, -2*g = 2*o - 10. Suppose 0 = 3*l + 4*m - 163, 0 = -2*l + m - o*m + 116. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -5.8. Let r = 5 - 5.03. Let g = 0.23 + r. Which is the closest to g? (a) -4 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 divided by 85432.\nAnswer: 201\/85432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - -93. Suppose 0 = -2*g + 2*p + 6, 2*p - 12 = -g - 3*g. Suppose -4*k + s = g*k. What is the least common multiple of 18 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 11 - 8)*(-8*p - 10*p + 4*p)*(p**2 + 5*p**2 - p**2)*(3 - 2*p - 3).\nAnswer: -7000*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3924 is divided by 231.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + q + 2*v = 18, 5*q - 15 = -v. Let o(g) = 7 - 7 + 4*g**q. Let s(j) = -11*j + 11*j - 4*j**2 + 3*j**2. Determine s(o(z)).\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddjdddddddddddddd. Give prob of picking 3 d.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.97 + 0.03. Let p = 8.0000085 - s. What is p rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -165.317 and -58.5702?\nAnswer: 106.7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2315, -2626, -2925, -3206, -3463, -3690, -3881?\n\"Answer: g**3 - 318*g - 1998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 * -0.2\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2581085458 to the nearest integer?\nAnswer: 50804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 5*q - 2 - 12 = 0, -2*y + 5*q + 16 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2*2\/(-4). Let y = g + 10. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 97*l**2 + 368*l - 5. Determine h(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -9*b. Let s be (b + 2*-1)*62407\/34. Let r = s + 532293\/145. Which is greater: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -19*l**2 + l + 797. Let w(m) = 38*m**2 - 3*m - 1593. Let d(r) = 9*t(r) + 4*w(r). Differentiate d(k) with respect to k.\nAnswer: -38*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.051, -1\/4, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caaeaaeacaaaeccee. What is prob of sequence ece?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4*v**3 - 2*v**2 + 2*v - 11. Let g be u(-5). Let w be (-10)\/(-215) - g\/(-946). Factor -1\/2 + b - w*b**2.\nAnswer: -(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*w**4 - w - w**2 - 71*w**4 + 4*w - 17*w**3 - 2*w**2 wrt w.\nAnswer: 48*w - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 8:02 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -270, -562, -914, -1356, -1918?\nAnswer: -2630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 5564 = -5672 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*23.8679\nAnswer: -1.909432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*m + 24, -2*m + 6322*h = 6342*h + 28 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005286 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 10. Let g = 39 + -28. Let m = g - a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/(-25))\/(-12*(-24)\/720))\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 12*r + 21. Give s(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 4, d: 1, a: 2, c: 3}. Give prob of sequence aida.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**2 + 4*g + 48 = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*b + 24 = 0, -5*b = -4*v - 7 - 18. Let l = 22 - 16. Suppose -3*y + 16 = 4*c, 4*c - 27 = 3*y - 11. Sort v, 5, l, c in increasing order.\nAnswer: v, c, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/5)*z*z**(-1)*(z\/((z\/z**(-8)*z)\/z))\/z**(-9))**(-21\/2) assuming z is positive.\nAnswer: z**(-21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6382.264 millilitres?\nAnswer: 6.382264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 3)*(-3*s - 15*s + 5*s)*(-17*s**4 - 43*s**4 - 18*s**4) + 31*s**2 - 31*s**2 - s - 2*s**5.\nAnswer: 2026*s**5 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(162) + 1*sqrt(162)) + sqrt(24)\/(-2*sqrt(300)).\nAnswer: -541*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 117*(-42)\/210*(-20)\/(-72)*3?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -9*s**2 - 2*s + 20. Let i be p(0). Calculate the highest common factor of i and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5887 is divided by 154?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 93495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10296002 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/6 + 58\/(-87) - 638. Let f = q + 645. Solve -3*z = f*m - 32, -4*m - z + 2*z + 16 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 + 17*h - 3. Let w(n) = 6*n**3 - 16*n + 4. Calculate -4*k(j) - 3*w(j).\nAnswer: 2*j**3 - 20*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2787 is divided by (-3064)\/(-34) + (-19 - 642\/(-34)).\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*c + 43, 5*c + 0*c - 63 = 2*u. Let s be -1 + 0 + -8*7\/(-28). Let a = -1177 + 1180. Solve 0 = a*q + s - c, -3*t = -5*q + 35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(1*(-2 - -1)). Suppose 0 = -h*f + 5*f - 20. Solve -2 = 2*x + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64116075 by -12823215.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 150 = -n, -n = -3*v - 2*n + 109. What is the third derivative of -18*c**2 - 72*c**2 + 32*c**2 - v*c**4 - 28*c**2 wrt c?\nAnswer: -888*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1532 times -179\nAnswer: -27.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c (base 13) to base 11.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -971*u + 27182. Give r(28).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.13 and 899662.\nAnswer: 899672.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 take away 1.4579215?\nAnswer: -365.4579215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(650))\/((1*sqrt(18))\/sqrt(9)) - (-4 + (sqrt(13) - (sqrt(13) + 4)) - (sqrt(1573) - (1 + sqrt(1573))))**2.\nAnswer: -49 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.57 + -0.077.\nAnswer: -3.647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (562 - 562 + 296*w)*(-5*w**3 + w**3 - w**3) + 3*w**4 - w**4 - 3*w**4.\nAnswer: -1481*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*b + 37443 - 12963. Is b a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26363 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-3) + ((-12)\/(-9))\/2. Let j(x) = -3*x**3 + 13*x**2 - 8*x + 19. Let o(l) = 2*l**3 - 12*l**2 + 7*l - 19. Let g(i) = t*o(i) - 3*j(i). Is g(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**3 - 45*a**2 + 397*a - 8044. Calculate y(22).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (42\/105)\/((-8)\/(-20) + 0). Which is smaller: 4\/51 or q?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -25\/6944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -29 (c) 0 (d) 1.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6080 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3900?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/((-8)\/142*(-19)\/38). Calculate the highest common divisor of b and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114240 and 112320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 2. Let t be h(-4). Suppose 0 = -t*x - 8, -3*x = -d + 6*d - 8. Suppose -37 - 3 = -d*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: Determine o, given that 2*o**5 - 4152*o**4 + 2187866*o**3 - 34249740*o**2 + 155262200*o - 190962000 = 0.\nAnswer: 2, 5, 9, 1030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 + l**2)*(-3 + 3 + 3*l**3)*(88 + 40 - 30).\nAnswer: -882*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/(t\/t**(-3\/7))))*t)**(19\/6)*t*t*t\/(t**(-47)\/t)*(t*t\/((t\/((t\/(t**(-5)*t)*t)\/t))\/t)*t*t)\/t assuming t is positive.\nAnswer: t**(1277\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13098 + 3?\nAnswer: -13095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/12 + 3*z**3\/2 + 2*z**2 - z. Suppose 7*j + 0*j = 938. Let b = j + -143. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15580617.5 + -3145.\nAnswer: -15583762.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 9033297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44352, 5, -26, -2, 4, -9, -1.\nAnswer: -44352, -26, -9, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 16 = -4*u + 2*n, 5*n = -3*u - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.53551 litres to millilitres.\nAnswer: 25535.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502033 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.31 - -13.69. Let o = r + -24. Let i = o + 10.0105. What is i rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 5*j = 3*x - 77, 5*x + 2*j - 128 = 0. Calculate the remainder when 439 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (36\/96 - 86\/16) + 6. Let b(f) = f**2 + f. Let a(c) = -60*c**2 - 50*c. What is g*a(l) + 50*b(l)?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/3 (b) -41 (c) 1768\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/167, 7, 1\/3?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 1\/5 (b) -4 (c) -1 (d) 3\/8 (e) -1\/822\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 6*d + 3. Let h(w) = -7*w - 3. Let l(p) = 4*h(p) + 5*o(p). Calculate l(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(-10))*s*s**(-3\/5)*s*s**13*s**12 assuming s is positive.\nAnswer: s**(182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289008*-3.\nAnswer: -867024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.05 + 0.05. Let j = 36 - 30.2. Let z = j + -6. Which is the nearest to 1\/4? (a) d (b) -4\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-12) + (-39)\/126. Let i = -21 + 12. Let o = -13 - i. Sort o, -0.2, x.\nAnswer: o, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + j)*(-6 - 2 + 3 + 2*j) + (2*j**2 + j**2 - 4*j**2)*(-5 + 5 + 1) + 2*j + 5*j**2 - 2*j.\nAnswer: 10*j**2 - 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3992 divided by 12554\nAnswer: -1996\/6277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - 53. What is the remainder when 21 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9599083 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, x: 1, b: 2}. Give prob of sequence xbq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i + 2*s = -12*i - 12, 5*i - 4*s = 36 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6013703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 k when four letters picked without replacement from ttpkktkp?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1271.67231 - 0.22769. Let y = l - -1218. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-3 - 18\/(-4)). What is the first derivative of 20*m**p - 3*m**3 - 3 - 20*m**2 wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1274.3 + -1274.2997841. What is c rounded to five decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(11\/3)\/k*k*k**(-13)*((k**2*k)\/k)**24 assuming k is positive.\nAnswer: k**(116\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 - (-92)\/6 - (-25)\/(-12). Which is the nearest to 2\/7? (a) 2\/3 (b) 0.3 (c) v (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2352 + 2128.7. Let m = x + 214. What is m rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98*f*t**3 - f*t**2 - 26*f - 423*t**5 - 152*t**2 wrt t?\nAnswer: 588*f - 25380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000099984 to six decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 5 + 1 - 1 + j. What is the remainder when 64 is divided by z(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2451500 (base 6) to base 9.\nAnswer: -220080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 3*i**3 - 15*i**2.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2735.\nAnswer: -273.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 5. Let i(z) = -z - 1. Let a be i(-6). Suppose -d + 4*r + 12 = 0, -4*r + 0*r + 60 = a*d. Calculate the greatest common divisor of c and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -0.0569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2448)\/(-32))\/(-51))\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2113012101 (base 4) in base 11?\nAnswer: -392a94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 250478545 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8724.104m?\nAnswer: 8.724104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14560721.\nAnswer: 7, 17, 37, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.036 + -0.03679. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 3, 206, 2\/63, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**15)**(-28) assuming r is positive.\nAnswer: r**(-420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 0*t + 0*t - t.\nAnswer: -t - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3037168406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 29*h = -4*o - 17, 5*o + 30 = -3*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 99305, 99265, 99225, 99185, 99145, 99105?\n\"Answer: -40*t + 99345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 141*z - 28*z - 31*z - 32*z**2 - 7*z**2 to f*z + j + b*z**2 and give b.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27224829 is divided by 213?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -300, -662, -1158, -1782, -2528, -3390?\nAnswer: -4362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - cb?\nAnswer: -d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 (base 11) in base 14?\nAnswer: a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 561 (b) -0.4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + -2.8. Let g be ((-4)\/10)\/((-4)\/(-6)). Which is the third smallest value? (a) -4 (b) f (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93\/24 + ((-3)\/24)\/(-1) - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10878240 and 10?\nAnswer: 10878240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((81\/(-168))\/9)\/(3\/(-24)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280710?\nAnswer: 2, 3, 5, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*r**3 - 20*r**3 + 113*r - 25*r**3 - 28*r**3.\nAnswer: r**3 + 113*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 8*f + 2. Let n be -4 + (-2 - -3) - -13. Let q be u(n). Calculate the highest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8420 and 58260?\nAnswer: 24527460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-12) + 4\/(-16). Let j = z + 2. Solve -s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 3 - 3)*(2 - 3 + 3 + (2 + 0 - 8)*(1 + 0 - 2) - 4 + 3 + 0).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190486474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, v: 2, s: 4, k: 3, e: 1}. What is prob of sequence sv?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.8712 - -2.8701. Let l = 5 + -8. Let o = a - l. What is o rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 1078*i - 6. Let o(y) = -32*y + 161. Let r be o(5). What is the hundreds digit of s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22614?\nAnswer: 2, 3, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 448 a factor of 40260700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9254 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*w = -131*w - 17784. Is w a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7076223768 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: Find the third derivative of 39 + 1214*k**2 - 414*k**3 - 400*k**2 - 406*k**2 - 405*k**2 wrt k.\nAnswer: -2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**5\/15 - p**4\/12 - 5*p**3\/6 + 3*p**2. Let m(l) = -6*l**2 + 3*l + 7. What is 5*m(d) + 7*t(d)?\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19965, -39881, -59801, -79725, -99653, -119585, -139521?\nAnswer: -159461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x + 1. Let w(c) = c**2 - 6*c + 6. Let q(o) = o + 12. Let y be q(-7). Let p be w(y). Let l be d(p). Solve -k + 4*f = 15, 2 = 5*k - l*f - 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 8*m + 12. Suppose 9 - 1 = -4*c. Sort c, m, 0 in descending order.\nAnswer: m, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 14. Let v be z(-13). Let u = -3 - -6. What is the highest common factor of u and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2241579 - -3808610. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 94217 - 65143. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 2645, 9060, 21637, 42452, 73581, 117100?\nAnswer: 175085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*p**2 - 27*p**2 + 48*p**2.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 328 - 114 - 159 - (23 + -3 + 0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 + 308. Let z(r) = -r**2 + 4*r + 14. Let x be z(5). Solve x*j - 6*j - p = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 142606 - -40?\nAnswer: 142646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1699*g - 609. Is s(-4) a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 136, 338, 650, 1066, 1580?\n\"Answer: -j**3 + 61*j**2 + 26*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:24 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -173\/64447 or 0?\nAnswer: -173\/64447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 274 = 2*d, 0*j = -2*j + d - 533. Let q be (15\/30)\/((-2)\/j). Suppose -z + 3*g + 31 = 0, z + z - q = 4*g. Is 37 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.319599*9.7\nAnswer: -3.1001103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 l when four letters picked without replacement from lplpllpl.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 y, 1 u, and 1 v when four letters picked without replacement from vyvvvumvuyvmvmuvyumv?\nAnswer: 144\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 3*a + a + 17*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8663 + 55098. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1114119 - 25628760\/23. Let o = 175 + y. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477232 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 take away 0.397?\nAnswer: 526.603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-32)*-4*8. What is the greatest common factor of 8 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 661041 + -5?\nAnswer: 661035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664362 (base 7) to base 2.\nAnswer: 11100100001001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i**2 + 310*i + 205. Determine y(104).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102020022 (base 3) to base 5.\nAnswer: -230224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 802239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 290*l - 296*l. Solve l*p - 17 = 4*f, 2*p - 15 = 4*f + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**4\/9 - 317*i**3\/9 + 3518*i**2 - 948220*i\/9 - 980200\/9 = 0.\nAnswer: -1, 58, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 216352 + 26152 = -96*g. Which is the closest to g? (a) 3 (b) 1 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3310314 (base 5) to base 11.\nAnswer: 39881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 77 = -1. List the prime factors of g.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 - 560*a**2\/3 - 562*a\/3 + 3364\/9 = 0. What is a?\nAnswer: -2, 1, 841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4346, -4352, -4346, -4322, -4274, -4196?\nAnswer: -4082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -53 + 57. Put -2, h, -4, -3 in descending order.\nAnswer: h, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 185285*i + 370612. Give k(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39101 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1167 >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 441252*k*u**3 + 932*k*u - 2*u**3 + 365*u**2 wrt u?\nAnswer: 2647512*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.8 - -41.8. Let m = 1412.026 - 1378. Let d = m - r. What is d rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/10, -2\/7, -3\/2, 126.\nAnswer: -3\/2, -3\/10, -2\/7, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 392022196 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -77*-313643\nAnswer: 24150511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 1 - (64 + -59)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) -16\/7 (b) -1.5 (c) -4\/7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115 and 34.0176885.\nAnswer: -80.9823115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(3) - -2*sqrt(75).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 3707.\nAnswer: 3707.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*x - 47*x - 39*x - 44*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4\/5 + 36*c**3\/5 + 144*c**2\/5 + 188*c\/5 + 78\/5 = 0.\nAnswer: -13, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f*h**2*z**2 + 3*f*h*z**2 - 11*f*z**6 - f + 11*h**3*z**6 - 14*h**3*z wrt z.\nAnswer: -1320*f*z**3 + 1320*h**3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 3*i + 546.\nAnswer: -3*(i - 14)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6) + (2 + -3 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 810.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054650 (base 10) in base 5?\nAnswer: 1011222100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 + 284.1. Let t = -4 + 6. What is the closest to t in -1, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvkv when four letters picked without replacement from {v: 7, k: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-49)\/(-14)))\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61.3 and 0.23.\nAnswer: 14.099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10\/7 of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4035616 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/11))\/d*d)\/(d\/(d\/d**13*d)))**(2\/73) assuming d is positive.\nAnswer: d**(-246\/803)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**5\/30 - 64060*p**2. Let h(y) = 19*y - 25*y - 43*y. Give d(h(i)).\nAnswer: -4802*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -104, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from wwdddwdwdd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 162, 145, 112, 57, -26?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-24)\/21)\/(12\/84).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 1, p: 4, y: 7, l: 1}. What is prob of picking 2 t?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u**3 + 2*u**2 + 11*u - 6. Determine q(3).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 3*q - 1 = 0, -4606*i + 4616*i - 4*q - 14 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**5 + 6*l**4 - 2*l**3 - 6*l**2.\nAnswer: 2*l**2*(l - 1)*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134099\/15 + 8934. Find the common denominator of t and -99\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 3. Let s(b) = -2*b**2 - 10*b + 24. Let i(c) = 4*q(c) - s(c). Factor i(k).\nAnswer: -2*(k - 3)*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 353 + -353.542. Let g = k + 0.002. Round g to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29556*s - 880 = -29512*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 50\/(-8))\/((-3)\/16). Let f be 6\/5*90\/s. What is the closest to -0.2 in 0, f, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -682198*k**3*n**2 + 3*k**3 - 3*k**2 - 10459*n**2 + 48*n wrt k.\nAnswer: -4093188*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 93*t + 8127. What is r(-55)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9282\/2093)\/((760\/437)\/10).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - v + 24. Let u be d(-5). Suppose y = u*a - 2, -5*y = -2*a - 5 - 3. Suppose -5140 = -5*n + 3*q, -y*n + 4*q + 4104 = 2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z + 30. Let p(t) = 5*t - 47. Let c(a) = a + 10. Let k be c(-2). Let w(m) = k*v(m) + 5*p(m). Calculate w(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6086 is divided by 3041.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 9*w - 9. Let h be y(-9). Let x = -2 - h. Suppose 5*d + 3*p + 3 = x, -d - 2*p = 2. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {z: 2, t: 7}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -3.7. Let i = 5.12 + -0.12. Let a = -98\/5 - -20. What is the closest to a in i, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 26 = -5*p. Let o(r) = -18*r - 5. Is o(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 2106\/7, 55, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 118.76. What is g rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161402*q - 372050 wrt q.\nAnswer: 161402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2, -7, -22, -53, -106, -187, -302?\n\"Answer: -q**3 + q**2 - q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**34*j)\/j**(-2\/3))\/(j**(-1\/52))**(34\/5) assuming j is positive.\nAnswer: j**(13961\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, g: 3, x: 8}. Give prob of picking 3 x and 1 b.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/13867788 and 61\/484?\nAnswer: 152545668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -11\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3745 = 6*i - i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 447317780?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbm when three letters picked without replacement from bmsgbbbbm?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240*a = -2216*a - 48. Factor -27\/5*z**4 - 96*z**a + 96\/5*z + 0 + 222\/5*z**3.\nAnswer: -3*z*(z - 4)**2*(9*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13537 and 151?\nAnswer: -2044087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1325?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*b**3 + 2*b + 73599 - 73599 as w*b**2 + n*b**3 + d + f*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-1*sqrt(117) + sqrt(117) - sqrt(117)))\/sqrt(3))\/(((sqrt(360)*-1)\/sqrt(10))\/sqrt(12)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 198*u - 18 - 1 - 16 + 98*u.\nAnswer: -100*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35506955 greater than 35506950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 132, 520, 1164, 2064?\n\"Answer: 128*o**2 + 4*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7180504?\nAnswer: 2, 897563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 5140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 34) + 0 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 41, 131, 259, 413, 581, 751, 911?\n\"Answer: -2*f**3 + 31*f**2 + 11*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + j = 3*j + 128, -135 = -o - 5*j. Suppose 2*k = k + 2*s + o, -4*k - 4*s + 484 = 0. Calculate the lowest common multiple of 5 and k.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/5 (b) 5 (c) -1\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1854 - 1851.927. Let r = -1.98 + q. Round r to 2 dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2632.99456 to the nearest integer.\nAnswer: 2633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2 + 14 = 0. Let f be 174*(u - 7)\/(-32). Let n = f - 21. Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76738, 153474, 230210, 306946, 383682?\nAnswer: 460418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v. Let r = -20 + 11. Let t(c) = -10*c + 0*c + 0*c - 9*c + 0*c. Determine r*o(u) + 4*t(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*h + 237 - 237 + (h + 2*h - h)*(3 - 1 - 4) - h + 2*h - 2*h as t*h + d and give t.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8017109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3443239 to the nearest integer?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -22, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 3*m = 12, o + 9*m - 10*m + 4 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-7 + 11 + 3 + -11 + -7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {a: 13, o: 3}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -622662?\nAnswer: -623005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 20*t**2 - 6*t - 26. Let d(h) = 7*h**2 - 2*h - 9. Let m(v) = -14*d(v) + 5*x(v). Let u = 11 - 8. Calculate m(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**4\/3 + 2870*y**3\/3 - 10725*y**2 = 0. What is y?\nAnswer: -585, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104 + 30020142?\nAnswer: 30020301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88401627?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 60700581 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 + (-10)\/(-15). Suppose u*y - 32 = -4*y. Solve -5*p + 17 = -y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 17248205?\nAnswer: 17248202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*j + 74*j - 5*j + (-7*j + 3*j + 2*j)*(6 - 3 - 4))*(2*j + 3*j - 3*j) + 3*j**2 - 4*j**2 + 2*j**2.\nAnswer: 167*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26 and -42.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 7*i + 7. What is the remainder when 25 is divided by o(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2\/27 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let n(r) = -2*r**2 + 3. Let c(z) = 4*z**2 - 5. Suppose -5*x + 40 = -13*x. Let j(l) = x*n(l) - 3*c(l). What is s(j(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 20*n. Let c(l) be the third derivative of 7*l**5\/5 - l**2 - 6*l + 56. Give z(c(w)).\nAnswer: 1680*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:52 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -105, -166, -225, -276, -313?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 7:45 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-294)\/56*2\/3*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415471 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 72\/20*5\/3 - 1848\/(-2). What is the highest common factor of o and 2945?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s. Let y be g(2). Suppose -6 = 4*o - 2*z - y, 2*z = 6. Suppose -4*a - w = -4, -4*w - 4 - 2 = 5*a. What is the lowest common multiple of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11486507603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.12, 10.4, 1.78, 4\/3, -4, -1\/4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 47 + 4*q**4 + 3*q - 4*q - 49 as r*q + c*q**4 + x + u*q**3 + a*q**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2\/3 + 654278*n\/3 - 654275 = 0.\nAnswer: 3, 654275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 - (-3 + 3) - (-11 + 25 + (-19 - 5))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -1. Suppose 0 = -5*j + b + 87. Solve -2*r - 3*u - j = -4*r, u = -3*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28501321 to the power of 1\/2, to the nearest integer?\nAnswer: 5339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-1 - (0 + -2 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6329342 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 198\/5 - 2\/(-5). Suppose -j + 2*n + 165 = 0, -58*j + n + 342 = -56*j. Let o = 189 - j. Calculate the highest common divisor of x and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -49*w**3 - 386*w**2 + 3. Let b(l) = 145*l**3 + 1153*l**2 - 8. Let g(p) = 3*b(p) + 8*t(p). Find the third derivative of g(a) wrt a.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j - 20 = -116*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 42.31. Let n = 165 + -165.518. Let a = c + n. Round a to 2 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 310795391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(18)\/sqrt(9)*2 - sqrt(2)) - -4*sqrt(288)) + -5)**2.\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304182142 a multiple of 671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2499 in 0.4, 4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 12*x = -9*x - 7, 3 = k + 5*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**8\/840 + x**5\/8 + 5*x**3\/6 + x**2. Let k(u) be the first derivative of p(u). Find the second derivative of k(y) wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 12\/35, 583 in descending order.\nAnswer: 583, 12\/35, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 5*z + 7. Let y be g(6). Let i = -3 - y. Suppose 25 = -5*j, 15 = 5*k - j - 3*j. Put -2, k, i in descending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let g(p) = 492 - 3*p**2 - 492 + 11*p**2. What is i(g(o))?\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1487 + -1283. Is 1\/(((-4)\/(-42))\/(f\/(-15))) 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 1124675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-17)\/(408\/(-6)))\/(7\/287).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 17*x + 1. Let h(a) = 2*a**2 + 16*a - 1. Calculate 3*h(r) + 4*w(r).\nAnswer: -2*r**2 - 20*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 9*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102627 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 319*l - 64. Is k(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 22 = -q, -2*w = q - 16. Solve 2*g = 2*o - 2*g + 16, 0 = 3*g - w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5976410 is divided by 68694?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 - 9*d + 1. Suppose -2*q + 15 = -3*f - 5*q, -10 = 2*f + 3*q. Let p(k) = -k**2 + k. Let g = -18 + 17. What is f*p(j) + g*b(j)?\nAnswer: -2*j**2 + 4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)*-2*-2)\/(sqrt(192)*2) + 1 + -3 + sqrt(11) + sqrt(11) + -3 + -5.\nAnswer: -10 + 9*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30711 is divided by 2331?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91173763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**7\/1260 + q**6\/540 - q**5\/90 + q**3\/2 - q. Let t(h) be the second derivative of p(h). Factor t(w).\nAnswer: 2*w*(w - 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = -0*z. Let q = z + -6. Let l = -6 - -10. Put q, l, 1 in decreasing order.\nAnswer: l, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 50*r**5 - 24385*r**4 + 665400*r**3 - 3095530*r**2 + 1912310*r - 263925 = 0. Calculate r.\nAnswer: 1\/5, 1\/2, 5, 23, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58214 (base 12) to base 2.\nAnswer: 11100110000110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 25\/9 - 6\/(-27). Suppose -d*p + 4 = -5. Factor -2*r**4 + 2*r**p + 0 - 2\/3*r**2 + 2\/3*r**5 + 0*r.\nAnswer: 2*r**2*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 54807.24 decades?\nAnswer: 548072.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, 1 n, and 1 m when four letters picked without replacement from {n: 1, m: 1, v: 1, s: 1, q: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -3. Let s = v + 3.7. Let o(p) = p**3 - 26*p**2 + 3*p - 82. Let g be o(26). Which is the biggest value? (a) s (b) g (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 7*z**5\/30 + 15*z**2 - 3*z. Let l(t) be the third derivative of t**5\/12 - 2*t**2. Calculate 6*c(d) - 17*l(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q - 46 - 26. Let b be 8\/q*35*-3. Let d = -28 + b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -2\/11, -5\/6, 1\/32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -3 - 2 - (14 + -5 - 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 4. Let m(j) = 6*j - 11. Let o(n) = 11*a(n) - 4*m(n). Let p(g) = -3*g**2. Calculate o(p(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g + 176 = -18*g. Which is the nearest to -1.5? (a) -0.1 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1469364 and 1443?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856035 to the power of 1\/2, to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**8\/48 - 3*b**7\/35 + 109*b**6\/840 - 3*b**5\/35 + b**4\/42 + 152*b**2. Suppose x(u) = 0. Calculate u.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*-29\nAnswer: 1508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 5. Let x be b(4). Suppose 3*f - 2*k = 2105, 67 = f + x*k - 642. Differentiate 9*z**3 - 9 + 0 - 703*z**2 + f*z**2 wrt z.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/2)*j**7)**(-23\/5) assuming j is positive.\nAnswer: j**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**4\/11 - 2784*h**3\/11 - 36530*h**2\/11 = 0.\nAnswer: -13, 0, 1405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -3\/4, -1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 at least as big as 72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 7*w**2 + 7*w - 5. Let n be h(-10). Let u = -131 - n. What are the prime factors of u?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 9:44 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(6\/(-22)))\/(2815\/2815)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.8. Suppose -w = -2*w. Let c be 3\/(-2)*(-12)\/(-63). Sort j, w, c.\nAnswer: c, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16666882 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 3*y - 1. Let s be 3\/(-5)*(-90)\/6. Let i be (-1)\/3 - (-39)\/s. Calculate the remainder when 6 is divided by o(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-18))\/((-1855)\/1484).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2339 - 3091 = 94*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 104*b + 11. Calculate w(1).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 678 = -171. Suppose 206 + q = -5*g. Let p be (-2)\/(-7) - g\/(-42). Which is the smallest value? (a) -4 (b) p (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -48, -10084 in decreasing order.\nAnswer: 4, 3, -48, -10084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -124\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 61. Let z be (i\/(-4) + (-1960)\/(-16))\/1. Suppose 5*s = 414 + z. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*r**2 + 482583*r\/2 - 695925\/2.\nAnswer: -(r - 9279)*(52*r - 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + -139. Is 38 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51913791 less than or equal to 51913792?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 9 - 49. Calculate the remainder when (-26 + -1)*(-10)\/15 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*6)\/((sqrt(336)\/sqrt(6))\/sqrt(7)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-28) - 27\/140) + (-1592407)\/(-209265).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -0.5 (c) -114 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 176*r**3 + 6*r**5 - 176*r**3 + (0*r**2 + 4*r**2 - 5*r**2)*(-r - r**3 + r).\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2725413068.\nAnswer: 2, 7, 5113, 19037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -690 + 466. What is the common denominator of (-1)\/(-4) - v\/40 and -5\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16. Let b(k) be the third derivative of u*k + 1\/20*k**5 + 0 - 3*k**2 - 1\/8*k**4 + 0*k**3. What is the second derivative of b(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 1251?\nAnswer: 1260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 794080 divided by 4?\nAnswer: 198520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1837, 7377, 16611, 29539, 46161, 66477?\n\"Answer: 1847*j**2 - j - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 49568791635?\nAnswer: 49568791635.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k + 35. Let p be f(28). Find the second derivative of 37*z**2 + 10*z - 10 - p*z + 30*z**2 + 3 + 2 wrt z.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.1 - -1.1. Let f be (-4)\/(-6) - (-7)\/(-6). Which is the nearest to f? (a) -5 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/(2\/3). Let n be k - (-1 + -25 + -2). Calculate the remainder when 15 is divided by (n\/25)\/((-3)\/(-20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236458 and 441966.\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 9*h**2 - 10*h. Let g be l(-8). Suppose 4*a - g = s, -2*a + 2*s - 4*s = -8. Let r = 18 - 1. Solve q = -a*c + r, c - 13 = -5*q - c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79*12\/315 - (-23 - 12*(-117)\/54)\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 381 - 395. Which is the nearest to -0.1? (a) 0.5 (b) y (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 17224*z - 17244*z + 34455*z.\nAnswer: 2*z**2 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 203455 and -0.06.\nAnswer: -12207.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48085391?\nAnswer: 48085391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5362 - -5367. Put -2\/7, j, 2\/9, -0.012 in increasing order.\nAnswer: -2\/7, -0.012, 2\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (-11 + -6 - -5 - -4 - (0 + -8)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -674, -672, -656, -626, -582, -524?\n\"Answer: 7*c**2 - 19*c - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 3. Let i(j) = 5*j - 13. Let t(l) = -6*i(l) - 26*k(l). Let n(o) = -2*o. Give t(n(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -584999, -585026, -585079, -585170, -585311, -585514?\nAnswer: -585791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dttdddtdttdtdddt. Give prob of sequence tdt.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a, 20687 = 4*d - 21*a + 16*a. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9932500 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 255 and 61?\nAnswer: 15555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.137 in -3, -4, 0.4, -1\/12, -9?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 235604\/339 + -695. Let k = 28135\/678 - t. Find the common denominator of k and -91\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4557517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.971 less than 40?\nAnswer: 39.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-85))\/(3\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 2. Let t be u(-5). Let g(z) = z - 4*z**2 - 4*z**2 + t + 7*z**2. Determine g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*q**2 + 15*q - 15*q + 72*q**2.\nAnswer: 188*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229608705 to the nearest integer?\nAnswer: 15153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -173a0 (base 11) to base 13.\nAnswer: -b174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 + 7*s**2 + 45*s - 104. What is q(2)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215138\/5 + ((-1)\/(-4))\/((-25)\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q + 42. Suppose 8*y - 5*w = 4*y - 47, 5*w + 1 = -2*y. Let t be f(y). Solve 5*l = 2*s + t, 2*l - 2*s - 3*s = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11897 minus -962618320?\nAnswer: 962618320.11897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/332 or 1?\nAnswer: -1\/332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 76. Solve -p = -5*m + 4*p, v = -4*m + 2*p - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 + 183. Let y = 176.84 + q. Let c = 2.8400211 - y. What is c rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1146 a factor of 30099435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 2*l**3 + 3*l**3 - l**2 - 2 to i*l + p*l**2 + h + u*l**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((2436\/(-70))\/(-6) - 8)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 612897 is divided by 306054.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 213332.27 at most as big as -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4375)\/(-1250)*(-10)\/14.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 344513 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 53*n**4\/4 + 585*n**3\/4 + 817*n**2\/4 - 1401*n\/4 - 27\/2 = 0?\nAnswer: -9, -3, -2\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 i when three letters picked without replacement from irii.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmcbbcmqmmbmbmc. Give prob of picking 1 q and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -0.4, -4\/5, -29, 71 in descending order.\nAnswer: 71, 6, -0.4, -4\/5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*x + 851128, -17*x - 3*u + 1063873 = -12*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -10. Suppose -m - 2*t + 4 = 0, 2*m - f*m = 5*t - 10. Solve m = 3*r - 2 - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 687, 713, 761, 837, 947, 1097?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 17*a**2 + a - 8. Let o be h(17). Suppose 2*v = -5 + o. What is the common denominator of 684\/60*(v\/(-3))\/1 and 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*z**2 + 9*z + 12 - 12*z**2 - 9*z in the form t*z**2 + i + c*z and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 59*h - 551. What is the tens digit of w(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 333 - 573?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 197 and 302.\nAnswer: 59494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.047 - 1.847. Let q = f - -3.8. What is the third biggest value in q, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 + 28. Which is the fourth biggest value? (a) h (b) -2\/3 (c) -0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*q + 435 + 138 = 0, -3*r + 4*q + 573 = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(432) - (sqrt(432) + 0))*1 + (sqrt(432)*1 + sqrt(432) + 3)*5)**2 + 2.\nAnswer: 3600*sqrt(3) + 43430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5 = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/62211928 and 53\/1216.\nAnswer: 497695424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 95 = -63, 36 = -4*u + 3*t. Let d(c) = c. Let v(i) be the second derivative of -i**3\/6 - i**2\/2 + 2*i. Determine u*d(k) - v(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 224571141, 449142280, 673713419, 898284558?\n\"Answer: 224571139*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:39 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 624.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - sqrt(396)*-2*-1)*-5)**2*4 - (1 + (sqrt(275) + sqrt(275) + 1 + sqrt(275) + 3 + sqrt(275) + sqrt(275))*5)**2.\nAnswer: -132716 - 5250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.9 - -17.768. Let h = 0.132 + n. Sort -1, -0.3, h, -0.5.\nAnswer: -1, -0.5, -0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4722791*d + 7151289 wrt d.\nAnswer: -4722791","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l*l**(3\/19)*l)\/l*l*l\/l**28*l)\/(l**(-15)*(l*l**(-1\/16))\/l) assuming l is positive.\nAnswer: l**(-2365\/304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 less than -0.63?\nAnswer: -29.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -52. Let x be (-1)\/6 - 87\/l. Let n(z) = 2*z**2 + 4 + 0 - 3*z**2 - 5*z + 0. Calculate n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15255*i**2 + 19613*i**2 - 9982*i**2.\nAnswer: 24886*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-3) - -3)*12. Let c be (v*(-4)\/(-24))\/((-1)\/3). Put 4, c, -0.1, -1\/5 in decreasing order.\nAnswer: 4, c, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 3 - (-9 - (-18 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38, 40, 42, 44, 46?\n\"Answer: 2*z + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1570 divided by -287?\nAnswer: 1570\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 - m + 1. Let x(c) = 4*c**3 - c**2 - 6*c. Let y(f) = 3*l(f) - x(f). Calculate y(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 19208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32597.9 kilometers to micrometers.\nAnswer: 32597900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -47893575 divided by -5\nAnswer: 9578715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 88 - 5\/7*w**2 + 2\/21*w**3 + 8\/7*w. Let d(n) = 0. What is n?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s. Let k(h) = 11*h. Let v = 24 + -33. Let t(w) = v*d(w) + 4*k(w). Let q(b) = 10*b**2. Give q(t(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:14 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 15. Let m be r(12). Suppose -12*l + m*l + 336 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 293, 584, 875, 1166, 1457?\n\"Answer: 291*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -27. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - ((-945)\/20)\/(-27). Sort 3, m, 1, 0 in ascending order.\nAnswer: m, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -289900 by 72475.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75 - 324*n**3 - 7*n**2 - 308*n**3 - 85*n + 637*n**3 + 2*n**2.\nAnswer: 5*(n - 5)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or -143?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 7. Let a be x(-3). Suppose 3*h = -4*f + 75, -3*f + f + 38 = a*h. Calculate the remainder when f is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 + 32*c + 32. Determine i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -23*n - 8. Let b be t(-7). Let d = b - 175. Which is smaller: d or -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/3526 (b) 10852 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443.4 rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 4*h**2 + 4*h + 3. Let q be w(-3). Suppose q = -5*f - 10, n + 3*f + 30 = 5*n. Differentiate 6 - 9*m**3 - 4*m**3 - 1 - n with respect to m.\nAnswer: -39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*m**2 - 3*m**2 - 10*m**2 - 3*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g - 3*i + 64, 128 = 4*g + 3*i. Is g\/56 - (-1815)\/21 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 6*c**5\/7 + 418*c**4 - 12812*c**3\/7 - 9840*c**2\/7 = 0?\nAnswer: -492, -2\/3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219815491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.07 + 0.07. Let a = 523\/4 + -525\/4. Let v = 35 - 30. What is the third smallest value in v, 1\/2, z, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n. Let j(m) be the third derivative of m**7\/2520 - 7*m**4\/24 - 5*m**2. Let x(v) be the second derivative of j(v). What is x(u(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6865330 and 3258.\nAnswer: 61787970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - 4) + 7 - 58\/(-1). Suppose 0 = 5*t + y - 162. Solve 17 - t = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-26)*(b*b*b\/b**(-7)*b)\/b**(2\/29) assuming b is positive.\nAnswer: b**(-437\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f*f*(f*f**0)\/f))**(-30)*f**10\/f**(-4))**(1\/3) assuming f is positive.\nAnswer: f**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -240846?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 13*c + 2. Let d be p(7). Let i(n) = n**3 - 18*n**2 - 16*n - 11. Let l be i(19). Let f = l + d. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125, 120, 103, 68, 9, -80, -205, -372?\n\"Answer: -z**3 + 2*z + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1249908 and 107712.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*a*j**3 + 2717*a*j*q - 225*j**3*q + j**2*q + 4*q wrt j.\nAnswer: -48*a*j - 1350*j*q + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*c - 2 = 324*c + 2*r - 5, 0 = 2*c - 16*r + 8*r + 42 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7735\/(-65)*(-29)\/(12789\/84)?\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z. Let f(g) = -16*g. Determine f(x(t)).\nAnswer: -160*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2 + 4130*q - 2 - 4138*q - 3. Let o(z) = 25*z + 9. What is 7*m(u) + 2*o(u)?\nAnswer: -6*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -d338?\nAnswer: -d33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 + 2 = 0, 5*s = 3*p - 2. Let w = p - -4. Find the common denominator of (30\/(-10))\/(w\/(-29)) and 11\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/7810 and -91\/62480.\nAnswer: 62480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 8*x - 14. Let o be u(7). Let b(z) = -125*z**2 - 4*z - 3. Let j be b(o). Round j to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 31693*k + 2155135. Give l(-68).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4148 = 2*y - 746, 3*n = -12. Suppose 4*d - y = q, 0 = 4*q - 3 - 1. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 188*q**3 - 1624*q**2 - 912*q + 9792 = 0.\nAnswer: -6, -4, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)\/(sqrt(15)\/sqrt(3)) - (2*sqrt(17) + 0)) + -5 + sqrt(136)\/sqrt(8) + -1 + (-2*sqrt(136) - sqrt(136) - sqrt(136))\/sqrt(8) + 0)**2.\nAnswer: 48*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*a**2*i*o*x - 726*a**2*i*x + 63*a**2*o*x - 3*a*o - 1320*a*x - 6*i*o + 27*i*x wrt a?\nAnswer: -42*i*o*x - 1452*i*x + 126*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94309321 to the nearest integer?\nAnswer: 9711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times -15392?\nAnswer: 307.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 81*w + 1056. Let b be r(-13). Solve -t - 10 = -b*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 - 46 - 32)*(-v - 3*v + 3*v) to h*v + j and give h.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 356240 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 153\/((-51)\/(-3)) + 17\/((-204)\/108).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/651 and 33\/248?\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 111000?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 323, 1238, 2997, 5876, 10151, 16098, 23993?\nAnswer: 34112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 968863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 840.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 2*t + 17, 0 = -k - 0*t - 2*t + 5. Calculate the greatest common divisor of k and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35933.11 years in decades?\nAnswer: 3593.311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 509 - 284. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/1375 and 1\/4750.\nAnswer: 52250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124499\/4 less than or equal to 31126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15*r + 2. Give w(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*j + 571 - 571)*(-j - 4*j + 6*j) + 5*j**2 + j**2 + 9*j**2 + 6*j**2 - 6 + 6.\nAnswer: 31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -31\/108. Calculate the common denominator of n and -15\/2.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 1 k when three letters picked without replacement from {k: 3, p: 1, l: 1, z: 5, i: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -1, -4, 1\/4.\nAnswer: -4, -1, -2\/23, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**4 + 0*v**2 + 11*v**2 - 15*v**4 + 2*v - v**3 to the form d + r*v**3 + g*v**4 + f*v**2 + q*v and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29720726 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -113\/24 - -779\/168. Which is the second biggest value? (a) -4\/3 (b) -0.03 (c) 2 (d) k (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -20. Let t be a\/16 + 662\/(-8). Let f = 182 + t. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*y + 17 = 0, -y + 2 + 2 = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -410538.846\nAnswer: 410537.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-6*52\/120.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.78859 rounded to 1 decimal place?\nAnswer: -22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 187477773 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5395 + 5395.62. Which is bigger: z or -20?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*u - u + 116, 5*s + 2*u = 580. Suppose -4*t + s + 84 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1140 or 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 353012?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7341 is divided by 513.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117342 - -11?\nAnswer: 117353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 divided by 506275?\nAnswer: -4\/6575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -20*m - 4. Give b(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmzzmffnnffzf. Give prob of picking 1 f and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112*0.63219.\nAnswer: -70.80528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10286 less than or equal to 10277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + sqrt(3) + 3 - (sqrt(99)\/sqrt(3))\/sqrt(11) - sqrt(3)*1*4*3)**2.\nAnswer: -66*sqrt(3) + 372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/2223 and -53\/1206036.\nAnswer: 22914684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 11 - 7 = 0. Suppose 12 = o + 3*o. Let y(j) = -3*j + 37. Let g be y(15). Sort o, k, g.\nAnswer: g, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, s: 3, j: 5, g: 1, c: 8}. Give prob of sequence sssp.\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + -1 + sqrt(32) - sqrt(32)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + n - 5*n)*(2*n**4 + 95*n**4 + 35*n**4).\nAnswer: -1188*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 711 - 716.032. Let f = 21 - 21.032. Let j = f - c. Sort -0.5, -2\/13, 4, j in descending order.\nAnswer: j, 4, -2\/13, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from aaaaagagaggggggg.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = 3*g, 20 = 4*n + 8. Solve -j + 3 = -g*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 562316 and 1528?\nAnswer: 214804712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 183726022 and 1625894.\nAnswer: 183726022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/24 + 1061\/3. Suppose m = b + 58. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (42\/(-8))\/(21\/(-196))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 48 = -0. Suppose o*d - 7*d = 4. Suppose 15 = 3*n, -d*n = -5*b - 0*n + 55. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22747424 and 1408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ipiriir.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/704 and -97\/810700?\nAnswer: 12971200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 8*g**2 - 2*g - 12. Let f be u(-8). Solve -2*l + 5*i = -6, -f = l + 2*i + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1760\/6 - (-129)\/(-387) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - -5 - (-113429)\/(-24). Let b = -4725 - h. What is the common denominator of b and 15\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -6. Let h = -9.3 + p. Let t = -2.54 + -0.46. What is the nearest to 0 in t, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:48 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + -2 - (sqrt(68)\/sqrt(4) + 3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen twelths of a minute in seconds?\nAnswer: 65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614629 is divided by 2927?\nAnswer: 2886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + -220?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29)\/(1044\/48)*2\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f*y**3 - 12621*f*y**2 + 28*f*y - 46*f + y**3 + y**2 + 3*y - 1 wrt y?\nAnswer: -12*f*y - 25242*f + 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/40 and 101\/148.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/2)\/(-2))\/((-153)\/(-765)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 21*d + 12. Let s = -3102 + 3118. Calculate t(s).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 7*n - 144. Let l be f(16). Let z(s) be the third derivative of 0*s**4 + l*s**5 + 3*s**2 - 1\/6*s**3 + 0*s + 0 - 7\/120*s**6. Determine z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + 1)**2*-5 - ((sqrt(1573) + 1)*-6)**2) + (4 + sqrt(117) + -4 + sqrt(39)\/sqrt(3) + sqrt(13) + -3)**2)*-3.\nAnswer: 2796*sqrt(13) + 192600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*u**2 + 18*u**2 - 176*u**2 + 133*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 20 = 35*k. Suppose -k*o + 851 = a, o - 175 + 2 = -3*a. What is the highest common factor of o and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x**2 + 6*x + 3. Let g be n(3). List the prime factors of 18*(2 + 8\/g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2960 and 2960.\nAnswer: 2960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470.99614 - -471. What is i rounded to four decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 8:52 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2294*i**3*y**3 + 45*i**3*y**2 - i**3 - 4*i**2*y**2 wrt y?\nAnswer: -13764*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -1540?\nAnswer: -1540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1794 - -1794.05. Which is the closest to -1? (a) 0 (b) 10 (c) -1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 - 498*b**2 + 418*b**2 + b**4 + 2*b**3 + 2*b**5 wrt b?\nAnswer: 120*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u**2 - 5*u + 0*u)*(58*u + 49*u + 25*u).\nAnswer: -396*u**3 + 132*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-12)*-3*(-36)\/(-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 564939 by -1.\nAnswer: -564939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 397 = -4*c + 1390, 5*c + 5*o - 1260 = 0. Calculate the greatest common factor of 39 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2890 is divided by 691?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -863049 - -1366298. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 808, 1410, 2432, 3880, 5760?\n\"Answer: o**3 + 204*o**2 - 17*o + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 29, 85, 163, 263, 385, 529?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s**3 - 4*s**2 + 2*s + 7. What is u(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**8\/2240 + t**6\/360 - 2*t**5\/15 + 8*t**2. Let h(f) be the third derivative of a(f). Differentiate h(r) with respect to r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 596 - 596.0313. Round k to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c528 + 1?\nAnswer: c529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9563 and 2489.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 - 2007\/(-225))\/(1\/(-5)). Are 5.4 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 10 = -m, -5*x + 4*m = 3*m + 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/13*i**2 + 2\/13*i**3 + 0*i + 0.\nAnswer: 2*i**2*(i - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6409253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + -1 + sqrt(3))**2 - (sqrt(3) + -1)**2*5.\nAnswer: -4*sqrt(3) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22.2 + -22. Suppose 3*f - f - 4 = 0. Suppose -18 = -5*s - 4*n, -f*n = s + 2*s - 10. Which is the second biggest value? (a) 5 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1)\/x)**(-6\/11)*(x**(1\/3))**(2\/43)*(x*x\/(x\/((x\/(x**(5\/2)*x*x*x))\/x))*x*x**(-4))**24 assuming x is positive.\nAnswer: x**(-254624\/1419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-8)*(-6)\/(-15). Let x be 0\/(-3*(0 - -1)). Suppose x = -p - 4*n, 2*n - 7 + 15 = -p. Which is bigger: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 546839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 + w - 1. Let d(k) = 3*k**2 - 1. Let q be d(1). Let a be j(q). Is a - (1 - (26 - 3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*b*s**3 + 86*b*s**2*x - 12*b*s*x - 2*s**3 + 11*s**2 - 4104*x wrt b.\nAnswer: 19*s**3 + 86*s**2*x - 12*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -4 - (-2 - -4) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 513*v**2 - 1029*v - 515 = 0. Calculate v.\nAnswer: -1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/10*(2242\/(-171) - -13)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137629.2 grams to milligrams.\nAnswer: 137629200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose 0 = -i - 5*d + 9, -4*i - z*d = -14 - 22. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from nqncnqtnqnnqiinnqq?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 5*w**3 - 7 + 1 + 2 - 2*w**4 + 9 as p*w + c*w**3 + t*w**2 + y*w**4 + x and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akh when three letters picked without replacement from {h: 1, a: 2, o: 10, k: 4}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1801, 7207, 16215, 28825, 45037, 64851, 88267?\n\"Answer: 1801*o**2 + 3*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = j + 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 + -2.3. Let i = -1 - j. Which is the nearest to -2? (a) i (b) -1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48.747 - -300123766\nAnswer: 300123717.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 - 311*k + 1243. Determine a(40).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 4. Let c(g) = 11*g - 20. Let h(p) = -c(p) - 5*f(p). Let u(z) = -2*z. What is -14*h(n) + 2*u(n)?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 33262?\nAnswer: 365882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.014 and -4201.839495138.\nAnswer: -4201.825495138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16365, -16415, -16465, -16515, -16565, -16615?\nAnswer: -16665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 o when four letters picked without replacement from {k: 3, p: 3, o: 4, r: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:01 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5181*v - 33*v**3 + 5181*v)*(v - 2 + 2).\nAnswer: -33*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 5*p + 15. Let n be u(7). Calculate the greatest common factor of n and 2059.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 2*h + 1. Let c be l(-2). Let a = 5 + -3. Let x be (0 - a) + 1 + c. Solve x*f = f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*q**4 + 5*q**4 - 2498*q**2 + 234*q**3 - 1029*q**2 + 6264*q - 3429*q**2 + 13456.\nAnswer: -2*(q - 58)**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5781 and -127\/12.\nAnswer: 23124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-756)\/(-84) - 19 - (186\/(-16) + 1).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210843.\nAnswer: 3, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t. Suppose t*a + 2 = 2*a. Suppose 0*o + a = -o, d - 2 = -2*o. Let z(n) = -n + 4. Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12494, 24395, 36294, 48191?\nAnswer: 60086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -23)*((-98)\/21 - 30\/(-6)). Let c(h) = 34*h**3 - 11*h**2 - 8*h + 8. Let m(i) = 11*i**3 - 4*i**2 - 3*i + 3. Determine k*m(n) - 3*c(n).\nAnswer: -14*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 58*n**2 - 95*n + 94. List the prime factors of z(56).\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*f + 70 - 84 - 173 - 155 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n + 3. Let o be v(-6). Suppose 6*y = y + o. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) + sqrt(294) + 1*sqrt(294) + sqrt(294))\/sqrt(7))\/(-2*sqrt(384)) - (sqrt(84) - 2*sqrt(84)*1)\/((-3*sqrt(48))\/sqrt(4)).\nAnswer: -7*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -7\/2, -1\/4, -1.7, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 2) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 14401*d**2\/4 + 14407*d\/2 - 14409\/4.\nAnswer: -(d - 1)**2*(4*d + 14409)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 5 = n, y - n + 460 - 460 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348 = 66*l - 1866 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13227 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + z - 4. Let d be u(-3). Let a be d\/(-12)*(-12)\/(-8). Suppose -5*h + 2*b = 3188 + 906, -a*b - 1646 = 2*h. Round h to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1164\/7 - -166. Suppose -5*o - 1 = -3*f + 36, -3*o - 7 = -f. Let t be 8\/20 + f\/(-10). Sort -4\/7, x, t.\nAnswer: t, -4\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 4*k**2 + 55*k**3 + 10 - 2*k - 56*k**3 + 13*k**2. Let b be j(6). Sort 3, 13, b in decreasing order.\nAnswer: 13, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101404 + 462?\nAnswer: -100a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 866 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -761675\/2592954 - -2\/20579. Calculate the common denominator of g and -91\/30.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3084 + 3084.4. Which is the third biggest value? (a) -429 (b) 6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -907 + 6347\/7. Let o = 1 - 1. Let t be ((-3)\/(-6))\/(9\/(-2)). What is the closest to r in t, -4, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(204) + sqrt(204)*3*3 + sqrt(204) + sqrt(204))*-1)\/(-1*2*(sqrt(1728) + (3*sqrt(1728) - sqrt(1728)))).\nAnswer: 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 2*j**2 + 2*j**2 - j + 5*j as l + o*j + f*j**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 342879, 342878, 342877, 342876, 342875?\n\"Answer: -g + 342880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 102\/17 + -4 + 3 + 3. What is the highest common divisor of 632 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/179 (b) -0.8 (c) 4\/13 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.0608 + 0.1608. Which is smaller: u or 2\/47?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let u = -1062.6 - -882. Let w = u + 181. Which is the smallest value? (a) 2 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 14 - (3 + -2) - 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33513683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -0.125166.\nAnswer: -9.011952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5010 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 4. Let z(s) = -s**2 - 7*s + 2. Let h be z(d). Let q = -3 + h. Sort q, 1, 5 in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 230*v**3 + 3602*v**2 - 70886*v + 67056 = 0. What is v?\nAnswer: -24, 1, 11, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-6)\/20)\/((-168)\/(-224)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -229 + 231. Solve 3*p - 13 = 5*x, -f*p + x + 4 = -0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-102)\/(-9)*(-5182)\/(-392). Let j = 1047\/7 - g. Let b = j + 4\/49. Is b > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1890624*u - 4345350 with respect to u.\nAnswer: -1890624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-13 + 7 - -9) + 13?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089)*-1 + (-4*sqrt(18))\/sqrt(2))\/(((sqrt(363) + 3*sqrt(363) - sqrt(363))*6 + sqrt(363) - sqrt(363))*6).\nAnswer: -5*sqrt(3)\/396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 6. Let g = a - -1. Let w be -1 + -4 + (1 - g). Is w equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 3*t. Suppose -4*k - 5*o = k - 55, -4*k = 5*o - 44. Calculate the remainder when g(k) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 69.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31414 + 31419. Let l(x) = 2*x - 3. Let f(i) = 5*i - 8. Let y(c) = 3*f(c) - 8*l(c). Let q(z) = -4*z - 2. Determine g*y(k) - q(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 72, 4, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/40 + (-24)\/40?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5 + (-1 - 1 + 3)*(4 - 1 - 2))*(1 - 1 + 1)*(8 + 4*o - 8).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 4*d - 85 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let c(q) = 85 - 11*q - 85. What is y(c(j))?\nAnswer: 121*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2727\/1177 and 3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*l + 13. Suppose b - 5 = -l. Suppose -4*y + b*y = -80. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (55\/90 - (-1)\/(-2))\/(12868\/1447650)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6789605)\/(-12586) - (10 + -7). Let r = s - -424\/899. Let g = -531 + r. Find the common denominator of -97\/8 and g.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 673196103281 + 0.\nAnswer: 673196103281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12010 (base 3) in base 7?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 773083392 by 4443008.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*p - 59*p + 139*p + 9284 = -189*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15+107199.8\nAnswer: 107214.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41342571?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 7:14 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40991, 81873, 122755?\nAnswer: 163637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -279, -14\/3.\nAnswer: -279, -14\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 - 170 = -4*u. Let l = u + -80. Suppose -l*r = 3*i + i - 8, 5*r - 5*i + 25 = 0. Sort -0.2, -28, r in descending order.\nAnswer: -0.2, r, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + 1 - sqrt(3))*1 - sqrt(36)\/(sqrt(60)\/sqrt(45)))*-1.\nAnswer: -1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4\/7, -1.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 2*l**2 + 2*l - 2. Let h be r(2). Let i = h - 5. Let k = 5 - 9. Sort i, 2, k.\nAnswer: k, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 115 = -14*u. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0679807019 rounded to 3 decimal places?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/(-10) + (-64)\/(-110)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24276493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 39035552.684 - -0.0506\nAnswer: 39035552.7346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/6 - 3813*f\/2.\nAnswer: f*(f - 11439)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - j + 76 - 19*j - 15*j in the form p + b*j and give p.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 2) + 114 + -109)\/((-8)\/86)*4.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -179 - 58*f + 21*f + 228 as b + v*f and give v.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, q: 2, y: 2, m: 1, z: 9, c: 3}. Give prob of picking 1 q and 1 c.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381 - -378. Let t = -1 + 1.5. Let r = -1064.9 + 1065. What is the third biggest value in r, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 2*r**2 + 2*r)*(-4 + 4 - 2) + 3 + r**2 - 3 - 14*r + 10*r - 10376*r**2 + 13*r - 9*r.\nAnswer: -10371*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, w: 2, m: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x**3 + 24*x**2 + 670*x + 1992. Give n(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.086 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(1\/11)*a))\/a**4*(a*a**(2\/3))**(-18\/13)*(a**5*a*a\/a**(5\/3))\/((a**(2\/5)\/a)\/a**(-2\/3)) assuming a is positive.\nAnswer: a**(-2428\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112110 (base 3) to base 13.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14157821\/3 at least as big as 4719273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k*w**3 - 2*k*w**2 - 7560*w**3 - 4443*w**2 wrt w.\nAnswer: -6*k - 45360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 11*i**6\/3 - 10*i**3\/3 - 21. What is the third derivative of b(g) wrt g?\nAnswer: 1320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117473860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + 2)\/(-3) - -921. Let u be (-2)\/2 - h\/(-30). Let f = u + -51\/2. What is the common denominator of f and -22\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*o + 103 = -86 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/12 - 7*d**3\/6 + 5*d**2\/2 + d. Let i be j(-7). Suppose -i = g - 15. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 0*p + 6*p)*(2 - 2 + p)*(-9 - 1 + 0).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide ((1056\/15)\/(-4))\/(1\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -443*h - 79*h + 219*h to z + u*h and give u.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -7*m - 32. Let k be a(-5). Solve 2*n = -n - k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 64.5.\nAnswer: -32.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28810.\nAnswer: 2, 5, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 1.1, 0.02198, 96.\nAnswer: 0.02198, 0.12, 1.1, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*f**2 - 107*f**2 + 3*f**3)*(5 + 3 + 8).\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -106?\nAnswer: -51\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 1:53 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**(1\/4)\/u)*u*(u\/(((u\/((u*u**10*u)\/u))\/u)\/u))\/u*(((u**9*u)\/u)\/u*u)\/(u\/u**0) assuming u is positive.\nAnswer: u**(95\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -58. Let p = -30.9357 + 0.0357. Let q = p - f. What is q rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.72 * -928300\nAnswer: 1596676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/7)\/(4\/42). What is the greatest common divisor of q and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6389, -6430, -6471, -6512, -6553, -6594?\nAnswer: -6635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-1)**2 + (sqrt(1216) + -1 + sqrt(1216))**2.\nAnswer: -32*sqrt(19) + 7164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 + 15979\/406*(-7 + 330\/44)?\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 19. Give c(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 31. Let v be i(17). Calculate the least common multiple of 22 and ((-78)\/65)\/(v\/10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 141530018 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 + -164. Let h be 1\/(2 + (-28)\/6). What is the nearest to 1\/2 in -1, h, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f + 1. Let y(o) = 18*o**3 - 2*o**2 - 14*o - 14. Let w(q) = -28*p(q) - 2*y(q). Find the third derivative of w(x) wrt x.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**2\/3 - 234200*n\/3 + 13712410000\/3 = 0 for n.\nAnswer: 117100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 4, -0.1, -0.03, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71628126 divided by 184134.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1254*c - 10669 = 1027*c for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 28 = -4*n, 5*n = -3*i + 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 150291 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 - 205\/15. Let n = q + 2. Let i = -6 - n. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-91) - 37\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y = -42367 + 41207. Let a = -1087 - -1870. What is the greatest common divisor of a and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 2\/9 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(8\/(-6)) + (-3)\/(-4). Suppose 2 = 2*y - j, -k - 5*y = -7. Solve -4*c - 24 = -l + 5*l, -4*c - 16 = k*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2637 - 2538. Calculate the remainder when 593 is divided by b.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262649 rounded to the nearest one thousand?\nAnswer: -263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 69734?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l - 4*r, -4*l + 2*r + 3 = 5*r. Suppose -4*z - l = -19. Solve -3*c - 21 = -z*j - 8*c, c = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10360, 20701, 31006, 41275, 51508, 61705, 71866?\nAnswer: 81991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27\/5 - -28\/5. Let a = 39.9 + -40. What is the third smallest value in 4, a, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*v**4 - 284*v**3 + 242*v**2 + 540*v = 0. Calculate v.\nAnswer: -1, 0, 2, 135\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 2*n**2 + 11*n + 22. What are the prime factors of o(9)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2225538 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 111478 equal to -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 986 - 602. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/20)\/(-2) - 0. Let p be -2 + 2 - (-1)\/(-2). Let z = p - -1. Which is the nearest to z? (a) -0.2 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7165\/126 + -1130\/21. Calculate the common denominator of -29\/10 and u.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -11*p - 31. Suppose 15*x + 5*w = 11*x - 48, 0 = 3*x - w + 17. Let z(f) = 5*f + 16. Give x*z(q) - 3*h(q).\nAnswer: -2*q - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.8 + -11.800328. Round z to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-2)*(-26)\/78?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.03463\nAnswer: 0.010389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 46253806007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:19 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 42 = -6*h, 5*h = -130*n + 96*n + 35 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00412539026 rounded to four dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**7\/7 - 62*o**4 + o**3\/3 - 849*o + 1107. What is the third derivative of u(v) wrt v?\nAnswer: 120*v**3 - 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115384442?\nAnswer: 2, 83, 695087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3448 a factor of 1783274568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3 + 2754\/(-486) - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 23 = 10*m. Suppose 2*j = 5*k + 22308, -3*k = -m + 9. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*t - l, 0*t - 4*l - 12 = 4*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6055355 and 905?\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v*z**5 - 3177*v*z**4 + 443*v*z + 2*v - 1 wrt z?\nAnswer: 60*v*z**3 - 38124*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yloyyyllyyooy. What is prob of sequence llol?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 4 - 2*s + 2*s. Let i be k(3). Let q = 2 - i. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*o = -107, -41*j + 34*j - 5*o + 650 = 0. Calculate the greatest common divisor of j and 228.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101.854432 + -69.854425. Let z = i - 32. What is z rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163415879 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**3 - 32*j**2 + 81*j. Let w be g(-12). Which is smaller: 3061 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(84)*2 - sqrt(84))*-5)\/(sqrt(6)*1*-4))\/(3*2*sqrt(567)*6).\nAnswer: 5*sqrt(2)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 5898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h**4 - 2*h**4 + 6*h**4 + (0*h**2 - h**2 + 0*h**2)*(6*h**2 - 2*h**2 + 3*h**2)*(-3 + 8 - 3)*(-70 + 136 - 55).\nAnswer: -155*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*d**2*j**3 + 8512*d**2*j**2 + 9*d**2 - 16*d*j**2 + 32740*d + 2*j**3 - 5*j**2 wrt d?\nAnswer: 70*j**3 + 17024*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/2520 and -71\/181314.\nAnswer: 3626280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1131, 2281, 3417, 4533, 5623, 6681, 7701, 8677?\n\"Answer: -t**3 - t**2 + 1160*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 + -128 - (-5*2\/30 + 3 + -1)?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-419 - -382) + (-208)\/(-5).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37126942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(4 - 4 + 2*j) + j - 5*j - 2 + 2*j.\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 105\/(10\/(-2))*(-10)\/(-30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-4)\/8*0. Suppose -57 = 2*q - i*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + i**2 + 2*i + 2. Let c be k(-2). Suppose -m + 2*g = 2*m - 28, -g = -m + c. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66211 rounded to 2 decimal places?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 1. Let i = -556 - -665. Suppose -35 + i = 2*v + 3*f, -3*f + 40 = v. Calculate the remainder when v is divided by l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**5 - 1285*t**4 - 86390*t**3 + 182980*t**2 + 345480*t - 711360 = 0.\nAnswer: -57, -2, 2, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/706853 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - (-11150)\/792. Let v = i + -95\/9. Solve -16\/11*p - 2\/11*p**5 - v*p**3 + 0 + 40\/11*p**2 + 14\/11*p**4 = 0 for p.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of 0*q**4 + 0*q**2 - q**3 + 3 - 1\/180*q**6 - 1\/60*q**5 + 0*q. Let g(a) be the third derivative of w(a). Factor g(t).\nAnswer: -2*t*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-104))\/((-84)\/819*-2*(-4)\/(-32))?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Suppose 5 - o = -2*q. Let l(f) = -3*f - 1. Let s be l(0). Which is smaller: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99435925 to the power of 1\/2, to the nearest integer?\nAnswer: 9972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5 = -3*l, -2*l - 16 = -g - 14. Are l and 1\/57 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*-0.5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*u + 6302 = -576*u for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z - 464857 + 55784857. What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.312 + 0.012. Let f = -0.38 - -37.38. Let j = f + -36.7. What is the second smallest value in c, -1\/2, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2380 + 2470 + 2197 + 2387 - 749)*(-11*v**3 + 13*v**3 - 5*v**3).\nAnswer: -26055*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 673 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at most as big as -1139525\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 2*s. Let r be g(1). Suppose f + 12 = r. Let d = f - -13. Solve -2*n + b = 6*b + 10, -4*n - d*b = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = s, o + 2*s = -4*o + 29. Let y = o + 3. Let x = y - -1. Does 3 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3*g**2. Let h(o) = -o**2 + o**2 - 2*o**2 + o**2. Calculate a(h(r)).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -662000 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*o - 76. Let r = -4 + 6. Let h be (-1*4)\/(r\/(-14)). What is the highest common divisor of h and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -51 and -25236.4.\nAnswer: -25287.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2 - 43*a - 31. Let b be d(16). Let v = 1511 - b. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 18*m = -14. Determine f so that -2*f**4 - 2*f**3 + 20*f**2 + 6*f**m + f - 3*f - 24 + 4*f**3 = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -7930, -2, 26, 0.4?\nAnswer: -7930","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5056 times -6771?\nAnswer: 34234176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 0*n - 1\/12*n**3 + 1\/20*n**5 + 0*n**2 - 1\/24*n**6 - 1 + 1\/16*n**4. Determine w, given that k(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -742 + 740. What is the units digit of (-6 + 5)\/(g\/(-6 - -8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 32 = -0*l - i, 3*i = -3*l + 120. Let u(j) = j**2 + 5*j + 105. What is the remainder when u(0) is divided by l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/5, -1\/3, -2\/7, -269 in decreasing order.\nAnswer: 19\/5, -2\/7, -1\/3, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 3. Suppose 2*a + 7 = a. What are the prime factors of k(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -2*g - 3, -5*y + 316*g = 313*g + 33 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {c: 5, v: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 5 - 4 - (3 + -8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.19 - -0.49. Which is the closest to 0.1? (a) -5 (b) n (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*q + 5*q. Let h = -0.048 - 40.952. Sort h, -0.1, q.\nAnswer: h, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120366 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 - (2 - -3). Let u = 59\/4 + -15. What is the third smallest value in u, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11. What is the highest common divisor of 12 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1938, 2084, 2334, 2694, 3170, 3768, 4494, 5354?\n\"Answer: z**3 + 46*z**2 + z + 1890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 2*o + 5*o + 0*o + 21*o**2 as j*o + w*o**2 + b and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of -x**5\/30 - x**4\/6 - x**3\/3 - 3*x**2\/2 + 2*x. Let h(q) be the first derivative of z(q). Solve h(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**4 + o**3 + o + 1. Let p(m) = -6*m**4 + 37*m**3 - 5 - 5*m + 47*m**3 - m**2 - 87*m**3. Let j(i) = -10*f(i) - 2*p(i). Factor j(t).\nAnswer: 2*t**2*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x + 2 - 8 + 0 + 4.\nAnswer: 15*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17357459 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 7:27 PM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.023014 rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*u + 424500 = 46*u. Suppose 12*n - u + 7902 = 0. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 0.1 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658325 a multiple of 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/1032 and -77\/48.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 5 = 0. Let y be (1 - 0)\/(q\/27). Suppose 2*s - m - 31 = 0, -2*s - m + 6 + y = 0. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -10\/7, -59\/6 in decreasing order.\nAnswer: -0.3, -10\/7, -59\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137.08 * 1.\nAnswer: -137.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28840 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9320984*i**5 + 4799247*i + 23?\nAnswer: 186419680*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20211 + -222011121?\nAnswer: -222102102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-6))\/(25\/50).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -7\/3 (c) -4\/13 (d) 0.3 (e) 5 (f) 159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 21\/36. Suppose 4*x = 95 + 21. Suppose -x = -5*i - 4. Sort 0, l, i in decreasing order.\nAnswer: i, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 7 = -3*s, -5*s + 34 - 11 = 4*a. Suppose 0 = -4*w + s*w + 46. Let f = w + 9. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + 2 - (-64 + 61)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21452, -21931, -22410?\n\"Answer: -479*x - 20973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1839*i. Let r(g) = -2*g + 611. Determine r(c(y)).\nAnswer: 3678*y + 611","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1003, 2004, 3003, 4000?\n\"Answer: -s**2 + 1004*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -46681*x + 6815427. What is y(146)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/(69\/161)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.187 - 0.18699955. Round k to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**2 + 31*v - 16. Let n be j(12). What is the highest common divisor of 238 and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274189374*d**3*z**2 + 2*d**3*z + 2*d**2*z - d**2 - 3*d*z - 2*d - 5033638*z wrt z?\nAnswer: 548378748*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1746 and -33\/81674.\nAnswer: 735066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 8*r**2 - 4*r**2 + (0 - 2*r + 0)*(-90 + 9 - 197)*(0*r - 6*r + 4*r).\nAnswer: -1111*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217920.\nAnswer: 2, 3, 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((156\/80)\/13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 - 12\/(-16)*-4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -172, -150, -112, -58, 12, 98, 200?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -23770 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1143*n**2 + 15 + 5*n**3 + 15 + n**3 - 1142*n**2 to the form b*n**2 + m + o*n + x*n**3 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28664 (base 9) in base 3?\nAnswer: -222202011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 2. Let c be p(-1). Let k = 33 + -36. What is the closest to 1\/3 in 2\/7, c, k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 9. Let x be t(0). Let i = 82 + -84. Let f = i - x. Calculate the smallest common multiple of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u + 2*u**2 + 9*u + 11*u**3 - 3*u + (-3 - 4 - 6)*(-u**3 + 5 - 5).\nAnswer: 24*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18171 = -10*y + 9919. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -3, 84 in descending order.\nAnswer: 84, 1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, 5, 0, -28 in increasing order.\nAnswer: -28, -5, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5566 and 484?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1406\/19684*1*-14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4013 and -11\/2.\nAnswer: 8026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o - 46 = 0. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*n + 228*n - 107*n = 0. Let c = -12 + 38\/3. Factor 2\/3*s**2 + n*s + 0 - 4\/3*s**3 + c*s**4.\nAnswer: 2*s**2*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-2 - sqrt(175))*-5)**2 + -1 + sqrt(175) + sqrt(28)\/sqrt(4) + -4.\nAnswer: 6*sqrt(7) + 39370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*i**2 - 2)*(-16 + 7 - 15)*(2*i**2 + i**2 - i**2).\nAnswer: -192*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11702*j - 23403. Determine b(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 2*a + 2, 2*n + 5*a = 4. Let v be (326\/8)\/(n\/16). Suppose b + b = v. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4763 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**7\/6 - 43*g**3\/3 + 87*g. Find the second derivative of p(m) wrt m.\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, c: 2}. Give prob of sequence cq.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/725*29)\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -93 + 56 + 10 + -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, m: 9}. Give prob of sequence ppmp.\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 9:25 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 85335a (base 12) to base 2\nAnswer: 1000000000101100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -178 times -6858?\nAnswer: 1220724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.0737 weeks in days?\nAnswer: 2702.5159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*h, 2*m - 2*h - 44 = 5*m. Let c = m + 29. Solve 0 = 5*g + c + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 - 4 + 22 - 8 - 6 + 17*q**3 - 7 to f + t*q**3 + k*q + a*q**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*b + 114 = -5*t, 4*t + b = -152. What is the least common multiple of (-1)\/2 + t\/(-4) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8757, -8759, -8761?\n\"Answer: -2*o - 8755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m**2 - 4*m - 8. Let o be d(4). Let n be 10\/3*o\/50. Solve 0*y - 5*i - 15 = 5*y, n = -4*y - 2*i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 0, -26, -84, -186, -344?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 418 + -288. Let z = g + -43. Suppose -4*o = -o - z. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.06 + -16.06. What is the smallest value in -0.2, t, 23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 3:55 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 2*l - 954, -3*l + 0*l + t = -1429. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o. Let j(b) = -5*b**2 - 53*b + 134502 + 3*b**2 - 134502. Determine s(j(l)).\nAnswer: 4*l**2 + 106*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*z. Let l(n) = n - 5. Let i be l(0). What is the units digit of (z\/i)\/((-5)\/50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.2, -0.984, 2\/15, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 165\/398857 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1091*m**3 - 3*m + 16 - 2*m**2 - m**2 - 15. Let x(n) = 1092*n**3 - 4*n**2 - 3*n + 2. Let u(b) = -4*j(b) + 3*x(b). Is u(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 587109.957 to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3. Let y be h(3). Let r(x) be the first derivative of x**3\/3 - 3*x**2 + 2*x + 737. What is r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5818494576 to the nearest integer?\nAnswer: 76279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1139 divided by 17.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -106, -152, -230, -340, -482?\n\"Answer: -16*l**2 + 2*l - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 48848*f - 48848*f + 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*o = 799 - 119. Solve -o*m = 4*x - 48 + 49, x = -4*m + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 6 - 22 = 3*b, 71*b + 6*h = 28*b - 178 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7506 - -7526. Calculate the greatest common factor of 14680 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28931, 29056, 29181, 29306?\nAnswer: 29431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -353 + 418. Calculate the greatest common divisor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 + 6*h - 12. Let c be a(-5). Let b be (-1)\/(4\/c*-1). Let f(i) = 2*i**b + 22 - 3*i**2 - 25 + 2*i. Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 49 (b) 1.49 (c) -4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 + w - 3. Give b(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 70\/28 - 2\/4. Suppose -3*g = -5*u - 83, f*g = -0*u + 2*u + 50. Solve 5*r + 3*q = -27 + 7, -4*r + g = -5*q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1581 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 9. Let n be g(7). Let q(z) = -z**2 - 3*z + 22. Let k be q(-7). Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2169, 2168, 2167?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1467 + 1469. Sort r, -0.1, 5 in decreasing order.\nAnswer: 5, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -299 divided by -1642\nAnswer: 299\/1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -1379*d + 306572 - 4*d**2 - 1285065 - 4685*d - 1319763 = 0.\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165459 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84614958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102222 - -10122211222?\nAnswer: 10122102000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14037 + 14033. Put n, 4, -2, -1\/3, 16 in increasing order.\nAnswer: n, -2, -1\/3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmkkmmmkmtnz. What is prob of sequence tk?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -50653*r**6\/480 + 15059*r**5\/40 - 4477*r**4\/8 + 1331*r**3\/3 + 21*r**2 - 2. Factor u(s).\nAnswer: -(37*s - 22)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221c35 (base 13) in base 2?\nAnswer: -11000100010010001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(153) - 1*sqrt(153)*-3))\/(sqrt(1089)*2 + (sqrt(9) - sqrt(99)\/sqrt(275))).\nAnswer: 20*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30313\/204 or -150?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03598 - -0.08402. Sort v, -0.4, -1\/10, -4, 1.\nAnswer: -4, -0.4, -1\/10, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 0*r - 158. Suppose 3*p = 12, 5*o - 3*p - 75 - 48 = 0. What is the remainder when r is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/11, 915, -1\/2, -1\/8 in descending order.\nAnswer: 915, -1\/8, -1\/2, -18\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168194842 a multiple of 6305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i - 15. Let h be 187\/(-51) - 224\/(-48). Put h, -5, 3, i in ascending order.\nAnswer: -5, h, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -9. What is the smallest common multiple of g and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 + 246. Does 11 divide ((264\/(-16))\/s)\/((-2)\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 231941.2 kilometers?\nAnswer: 231941200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjhzzjjjjjjzjzhj. What is prob of sequence zjz?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.35 - 0.35. Let q = t + -15. What is the fourth biggest value in 2\/7, 3\/2, q, 6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 n when three letters picked without replacement from {k: 3, o: 2, a: 4, h: 2, p: 2, n: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**2. Let z(b) = 37*b**2 + b. Give z(q(i)).\nAnswer: 925*i**4 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8583424261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - -3) - (-6 - 4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 5*d - 3. Let t be i(4). Suppose -s - t = r - 9, -r + 24 = 5*s. Solve -3*q - r*f = 13, 2*q + 0*q - 5*f = -1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2207*n**3 + 739*n**3 + 725*n**3 + 746*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7934 and 0.081?\nAnswer: 642.654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71529409 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 988\/(-90)) + -9 + -5 + -2.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - h - 8. Is z(4) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 144937921*p**2 - 45270177*p wrt p.\nAnswer: 289875842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 12:21 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92.61 - 93. Let g = q + 0.05. Let x = 0.04 + g. What is the second smallest value in 3, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9 = -2*o + 20, -n = -3. Let k(c) be the first derivative of 10*c**3\/3 + 3*c**2\/2 - 7*c + 16. Let g(u) = 3*u**2 + u - 2. What is o*k(t) - 14*g(t)?\nAnswer: -2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 15*w - 29 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9930 + 28723. What is the thousands digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*c + 56211 = -15*c. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-5 + 10) - (-2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731 and 1131244.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h + 5520. Suppose -30*a + 45*a = -25545. Let v = h - a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-10)*i)**(2\/5)*i*i\/(i**(-6)\/i)*i**(-13\/2))**(4\/3) assuming i is positive.\nAnswer: i**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130270751 to the power of 1\/2, to the nearest integer?\nAnswer: 11414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630 and 17220?\nAnswer: 51660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((36*w - 109*w + 45*w)*(-2*w + w + 0*w) - 2 + w**2 + 2)*(6 - 6 - 3*w) to the form n*w + s*w**2 + h*w**3 + q and give h.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1929\/452 (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/36 - 5*w**3\/9 + 4*w**2 - 3*w + 7. Factor d(b).\nAnswer: -(b - 2)*(b + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10485240 and -3?\nAnswer: 10485237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 240539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*((-1 + 2 - 4)*(-1 + 2*c + 1) - 303 + 303 + 9*c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2928, 5955, 8982, 12009?\n\"Answer: 3027*t - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*x - 8, -5*c + 2*x + 3*x + 40 = 0. Let l be 0 + -3 - (-9 + -4). Suppose 3 = 5*k - 2*h + 5, -3*k + l = -4*h. Put k, 1, c in descending order.\nAnswer: c, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102543660 divided by -51271830?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -28*y + 3. Suppose 0 = -24*v + 29*v + 5. Is d(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 228 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14943.\nAnswer: 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 26*f - 14. Calculate t(4).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1964849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (518 - 18 + 255)*(w**3 + w**3 + 0*w**3) + (2*w - 2*w + 2*w**3)*(2 - 1 + 1).\nAnswer: 1514*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -9*w**3\/4 + 2253*w**2\/8 - 2607*w\/8 + 93\/2 = 0.\nAnswer: 1\/6, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 4. Let l(o) = -759*o - 391. Let m(n) = l(n) - 138*p(n). Let f(y) = 23*y - 6. Give 161*f(z) + 6*m(z).\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - i**3 - 1)*((-1 + 1 + 1)*(-2 + 3 - 3)*(4 + 18 - 138) + 4 - 2 - 3).\nAnswer: -231*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2)*5 + sqrt(242) + 3)**2.\nAnswer: 160*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/207815 and -69\/38270.\nAnswer: 17872090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 114.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2. Let d(v) = -v**3 + 27*v**2. Let g be d(27). Let m(o) be the third derivative of g + 0*o**3 - 6*o**2 - 1\/4*o**4 + 0*o. Give m(y(f)).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7169604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1*57)\/3*-419071. Let s = -13362349 + b. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 7*o**2 - 3*o - 2. Let q(s) = s**3 - 7*s**2 + 2*s + 2. Let b(r) = -3*m(r) - 2*q(r). Let w be b(6). Let c = 0.75 - -1.25. Sort 2\/7, w, c.\nAnswer: w, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 94641755?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (406\/(-6699))\/(8\/36)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 67*x**3 + x - 45. Let z(c) = -5*c. Give m(z(w)).\nAnswer: -2010*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 337159908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 6, -2\/115, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + -1 + 3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153171 to the power of 1\/2, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 24 = -1595*y + 1591*y, -3*y = 4*q - 1 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3098.24 greater than -1.233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) 7 (c) -1\/2 (d) -2108 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**3 + w**2 - w. Suppose 4*k - 4*f = 0, 3*k + 2*f - 1 = 4. Let u be (2 - 1)\/(k - 0). Give a(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 0 - 12\/5*l**5 + 37\/3*l**3 + 0*l**4 + 0*l**2 + 71*l. Find the second derivative of y(d) wrt d.\nAnswer: -288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 793.37 - 793.3741253. What is k rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 3:31 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11965697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 + 4*p**4 - 4*p**4)*(10*p + 10*p - 21*p + 10).\nAnswer: 4*p**5 - 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(2 + 1) + 3. What is the remainder when (-628)\/(-12) - (-1)\/k is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 33 - 39)*(9 + 34*m - 1 - 3 + 4) in the form t + q*m and give q.\nAnswer: -1802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - 202211?\nAnswer: -201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -15. Let r = 4 - l. Let p be (22\/55)\/((-8)\/r). Which is the nearest to p? (a) -0.2 (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33979*c - 470 + 33978*c + 163)*(c**2 - c**4 - c**2).\nAnswer: c**5 + 307*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {g: 7, y: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 30.8. What is the closest to 2 in j, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4054 - -4341.9. Let a = 288 - p. Is 91\/4 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.18 in 1\/4, 28, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 + 7888*x**3 + 5781594*x**2 - 4166849060*x - 8356761424 = 0.\nAnswer: -2189, -2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-4))\/(2\/(-2)). Suppose 2 = l + 5*z, r*l + l = z - 4. Let d = 1238 - 1238. Sort -7, l, d in decreasing order.\nAnswer: d, l, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 + 3*c + 3. Let u(z) = -622*z**2 - 15*z - 16 - 574*z**2 + 1252*z**2. Give 11*f(j) + 2*u(j).\nAnswer: -9*j**2 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*t + 60 = 0. Let c be 0 - ((-28)\/t - 3). Let o be (-4)\/14 - (-1)\/7. Is o at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*i - i - 7, -5*d = -4*i + 33. Suppose i*x - 5*x = -12. Suppose 0 = -4*v + v - 5*s + 257, 0 = x*v + 3*s - 350. Is 25 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0*u**2 - 2*u**2 - 3 + 2*u + 3*u**2. Let t(s) = -s**2 - 5*s - 5. Let l be t(-4). Let d(w) = 2*w**3 - 1. Let h be d(l). What is q(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -481218039 divided by -12227\nAnswer: 39357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/4))\/(p\/((p**(-2\/7)\/p)\/p))*p\/(p**2*p)*p**(-6))\/(((p\/(p\/p**(-3)*p))\/p**(-4\/9))\/(p**(-4)*p**0)) assuming p is positive.\nAnswer: p**(-2767\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 7 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p - 45*p = -24. Suppose 0 = 4*c - 2*d + p, -5*c + 0*d + d - 12 = 0. Let v = c + 36. List the prime factors of v.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 28*k + 32. Let b(t) = -2*t**2 + 25*t - 10. Let x be b(13). Let m be q(x). Suppose 54 = -3*f + m. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**4\/12 - 3*i**3\/2 + 5*i**2 + i. Let s = -18 + 10. What is the units digit of b(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iaai when four letters picked without replacement from aairiiiirirra.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116562?\nAnswer: 2, 3, 19427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + t**2 + 56 - 695.\nAnswer: 3*t**2 - 639","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50268 and 340784?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -26. Let n be -2 + 1 - (-5)\/7. What is the nearest to 0 in j, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:08 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 561544 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92 + -52. Suppose 85 = -5*k - c. Let p = k + 60. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**16\/h*h))\/(h\/(h*h**(-3\/8))))\/(h**(-8)*h**(-13)*h) assuming h is positive.\nAnswer: h**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190679776?\nAnswer: 2, 7, 121607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35, 126, 235, 362, 507, 670, 851?\n\"Answer: 9*n**2 + 64*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*p = 144 + 12 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200122 - 1111020?\nAnswer: -2011212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*m - 125*m + 496*m + 1 - 122*m - 102*m - 110*m.\nAnswer: -59*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2265586 - 2265588 + 19*q**4 - 9*q**4 - 3*q - 20*q**3 to the form f*q + h + m*q**3 + l*q**4 + r*q**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t - 2 + 70*t**3 + 104*t + 3 + 71*t.\nAnswer: 70*t**3 + 232*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11031101 + -12?\nAnswer: 11031023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((m\/(m*m\/(m*m**(-1\/2))))\/m)\/m)\/m)\/m)**(-42)\/(m**(-1\/6)\/((m\/m**(1\/18))\/m)) assuming m is positive.\nAnswer: m**(1702\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(2 + sqrt(6912) + sqrt(6912) + -4 + -4)**2*-3.\nAnswer: -830520 + 34560*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 38\/34 + 5\/(-5). Let t = -19.2 - -19. Let s = -2.6 - -3. Which is the second smallest value? (a) t (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 217898937050 and 4?\nAnswer: 217898937046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 72*k + 225.\nAnswer: -(k - 75)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*o + 16, -o + 5 = 414*c - 413*c. What is the remainder when 2262 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a gram in milligrams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 9*p = -5*u + 204, 0 = 3*p - 3*u - 153. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b3 (base 12) to base 2.\nAnswer: -10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(7 - 3)\/8. Let f be i*((-8)\/(-20))\/2. Let s(b) = b**2 + 4*b - 5. Let z be s(-5). Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 29. Suppose m*r + 4*r - 12 = 0. Let c(l) = -3*l**2 - l**2 - r*l**2 + 6*l**2. Let a(v) = 10*v. Give a(c(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -699 + 732. What is the highest common factor of j and 660?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 12 - 32*a**2)*(-19*a + 10 - 10) + (-5*a + 2*a + a)*(6*a**2 - a**2 - 4*a**2).\nAnswer: 606*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.569 - 7.569. Which is the third biggest value? (a) 0.1 (b) i (c) -2\/3 (d) 13 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 7204493397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -1\/4*x**4 - 39 + 51\/5*x**5 - 14*x + x**2 + 0*x**3. Find the second derivative of c(b) wrt b.\nAnswer: 612*b**2 - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4) + sqrt(11))**2*4*-6 + 4.\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401674*t + 201284*t + 198453*t.\nAnswer: -1937*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 + 6 = 0. Suppose -m*t = -t - 8. Sort -3, t, 5 in descending order.\nAnswer: 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -240*c + 111*c - 32 + 2*c**3 + 109*c + 14*c**2.\nAnswer: 2*(c - 2)*(c + 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 0. Let w(j) = j**2 + 5*j + 6. Let q be w(-5). Let r be (-1)\/(1\/q*-2). Put r, v, -3\/7 in ascending order.\nAnswer: -3\/7, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = 3*b - 3*t, 2*t = -5*b - 16. Let x be 2\/(-4 + b)*0. Solve -3*p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 6. Suppose -q = 3*s, -s + 7 = 3*i - 0*s. Let p be i\/(-12) + 540\/(-16). Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (939\/(-15))\/((-6)\/(210\/7)). Let c be (3 - 4) + (-6922)\/(-22). Let r = w - c. Are r and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-9 - (2 - 15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**6\/18 - 17*u**5\/120 + u**4\/2 + 26*u. Let k(j) be the third derivative of y(j). What is the units digit of k(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 238 + 856?\nAnswer: a8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3*1.8\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1188 = -2008*j + 1612*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1299900 to the nearest 10000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1737, -2110, -2481, -2850, -3217, -3582?\n\"Answer: c**2 - 376*c - 1362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4845.600020913 - -4845.6. Round u to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1389014 and 684?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 631*q**2 - 10093*q - 14. Give o(16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5559877*p**5*v - p**5 - 16*p*v - 344339*v wrt p?\nAnswer: 111197540*p**3*v - 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -35*i**2 + 523*i + 31. Let c be r(15). Suppose w = 2*w - 5. Suppose 5*u = 4*p - 0*u - 11, 0 = w*p - 2*u - 1. Put 2, -2, c, p in descending order.\nAnswer: 2, c, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 13, d: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 + 109*v**2 - 29*v - 1008. Let i be r(54). Suppose 1364 = -3*l + 7*l. Is i >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/(-84) - ((-1125)\/(-140) + -7). What is the biggest value in 2, -98\/17, 1, o, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -740.\nAnswer: 3\/740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(4 + -2 + (-7)\/4). Suppose 3*s - 6 = l, 5*d - 8*s - 5 = -3*s. Solve -6 = -3*g - d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00025917348 rounded to five dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (0 - -1) + -5 + -15 + 8 + 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3)**5\/((m*(m**(-1)\/m)\/m)\/m)**(2\/5) assuming m is positive.\nAnswer: m**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4850 divided by -3.\nAnswer: -4850\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5037659, 5037651, 5037643, 5037635, 5037627?\nAnswer: 5037619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, p: 11}. What is prob of sequence ppp?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18416 from 4.\nAnswer: -18412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402571598.6 rounded to the nearest one hundred thousand?\nAnswer: 1402600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -f**2 - 4 + 2*f**3 + 5*f**4 - f - 4*f**4 + 2*f**2 + 0*f**2 in the form v*f**3 + w*f + l*f**4 + o*f**2 + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259*t**3 - 4780 + 4780.\nAnswer: 259*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1820 and -56*(-585)\/(-15)*-1.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453929 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 694 + -363. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 + 6*j - 4. Let t be l(3). Let h = 2.9 - -0.1. Which is the nearest to 0.1? (a) -2\/9 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 91*t**2 - t + 82*t**2 - 58*t**2.\nAnswer: 115*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -19 - 26 - (0 - (6 + 32)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 743967435 to the nearest integer?\nAnswer: 27276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*q - 52*q - 6499 + 1295 = -11684 for q.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*n - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from -34043022105841.\nAnswer: -34043022105863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k + 4 - k**2 - k**2 - 5 - 2*k**3 - 4*k**4 to the form m*k**3 + p*k + r*k**2 + l*k**4 + n and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 914, 911, 906, 899, 890?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42990 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 775 + -919. What is the smallest common multiple of 3*12\/(u\/(-20)) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Let x(b) = b**2 - 2*b - 6. Let y be 4*2\/2*(0 - 1). Calculate the remainder when x(y) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2671*f = -2668*f + 5*s + 7, -2*f = -3*s - 46. Solve 0 = -3*d + 4*n - f, -9*d + 14*d = -2*n - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 1:00 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from qfblfqfqlqbfqqqq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229106240 divided by 976.\nAnswer: -234740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60 - g**3 - 60)*(56*g + 3*g**2 - 56*g).\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1323, 1250, 1077, 732, 143?\nAnswer: -762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1039 and 10071027?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70.8 - -2.8. Let d = c - -67.42. Round d to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from aakta?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 11 = -5*p - 20 + 2 + 11, -4*n - 12 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -96*z**3 + z**2 + 2*z + 1. Let w be f(-1). Suppose g + 5*g - w = 0. Calculate the remainder when 93 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 3.91. Let y be 6 + -6 + (-33)\/12. Let i = y + 5\/2. Which is the closest to i? (a) u (b) 0.3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f - 2. Let l = -1 + 3. Let m be h(l). Suppose 2 + m = 4*z. 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 6715453628 to the power of 1\/2, to the nearest integer?\nAnswer: 81948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*j**3 - 15*d*j + 173*d - j**4 wrt j.\nAnswer: 9*d*j**2 - 15*d - 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) + (-25)\/260?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 5. Let p(d) = 5*d - 6. Let r be p(4). Let j = r - n. Solve 10 = -j*c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 19*h**2 - h - 95. What is the thousands digit of k(-26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {r: 9, u: 1, z: 3, e: 1, b: 2, d: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 4 - 4 + (-4 + 0 + 0)*(2 - 2*k - 2) - 5*k + k + 3*k)*(5 - 2 - 4).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*m**3*v**3 + m**3*v**2 - 11686*m**3 - 64389*m**2*v**3 - m**2 + 3*m*v**3 + 1020*m*v**2 wrt v?\nAnswer: 108*m**3 - 386334*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2283 divide 208231420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/6 - (-1)\/(-2). Let o be (-23 - -1)*2\/p. Let r = o - 4. Calculate the highest common factor of 7 and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153.94 rounded to the nearest ten?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/((56\/48)\/(2*45\/(-9))).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208884068?\nAnswer: 2, 23, 89, 97, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -926 - -2?\nAnswer: -924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 451?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1769, -2297, -3727, -6509, -11093, -17929?\nAnswer: -27467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 135\/(-25) + 37\/30. Which is the smallest value? (a) y (b) 1\/5 (c) 1\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716901 is divided by 132062?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -461*s + 6280. Let g(p) = -17*p + 2. Give c(g(m)).\nAnswer: 7837*m + 5358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/2)*u**(15\/4)*u**(-1\/13)\/(u*u\/(u\/u**2)*u*u) assuming u is positive.\nAnswer: u**(-95\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 147, -90, -12 in descending order.\nAnswer: 147, -12, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 777*r + 8224. Give q(11).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 570240 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 169156999 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 652299933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 553727994 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 47*z + 3 + 32*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*v + 8*v - 64. Let a be v\/(-72) - (56\/36)\/(-7). Let -a*j**5 - 5\/4*j**3 + j**4 + 0 + 0*j + 1\/2*j**2 = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Suppose m*i - 12 = -4*i. Let z = i - 2. Is z smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*b + 517, 5*b - 252 = -2*i + b. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((8\/4)\/10*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.6 + 14.6. Let l = 2.2 + -2. Let k = -0.2 + l. Which is the third smallest value? (a) -4 (b) k (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 22*w**3 - 94*w**2 + 5*w - 8. Let t be j(5). Solve 0 = -t*s + 422*s + 40 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 divided by -16?\nAnswer: -93\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9 + 1 + b**2 - 3 - 9*b. Let w = 34 - 16. Suppose -4*u = -5*c + 28, -3*u + 2*c = 2*u + w. Let t(m) = -4*m + 3. Determine u*i(d) + 5*t(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4743119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*l - 39 = 0, -141 = -6*f + 11*f - 2*l. Put 0, f, 2 in descending order.\nAnswer: 2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -67883 - 2*v + 67883. Let q(h) = 727*h**2. Calculate t(q(a)).\nAnswer: -1454*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l - 3*l + 4*l + (4 + 4 - 1)*(4*l + 12*l - 3*l) + 5 + 3*l - 5 + (4 - 2 + 1)*(0 + 0 - 2*l) as a + h*l and give h.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 116925.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -584\/5 in 10, 2\/37, 0.3, 1\/6?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*l**3*n**3 - l**3*n**2 - 3*l*n**3 + 158*l*n**2 - n**3 wrt n.\nAnswer: -108*l**3 - 18*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j + 8. Let o be x(-4). Solve -2*d + o = -2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 269.03 - 268.03. Suppose -2*j - 2*j + 21 = 5*p, j - 9 = -5*p. Let k = -0.1 + -0.4. What is the closest to p in k, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112221022 - 12?\nAnswer: 11112221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 + -157. Suppose -4 = -v*o + 4*o. Solve -r + 1 = -i, i - 2*r = o - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 29191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 8*g**2 - 7*g - 7. Let a(b) = -b**3 - 8*b**2 - 7*b - 7. Let k(p) = 5*a(p) - 4*h(p). Is k(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da + e4ca3?\nAnswer: e4d8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-4) - (-2386)\/(-4). Let c = f + 978. Let r = c - 62. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 6887 - 7019 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 2*g**2 - 2 + 3*g + 1\/6*g**4 - g**3. Let b(r) be the first derivative of x(r). What is y in b(y) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42237?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219 + 211 - (18 + -18 + (1 - 35)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, t: 4}. Give prob of picking 3 e and 1 t.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 2, f: 1, u: 3}. What is prob of sequence huu?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -1701*m**2 + 4941*m**2 - 1741*m**2 - 1802*m**2. Let b(k) = -13*k. What is b(a(s))?\nAnswer: 3939*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/((-1)\/(-5 + 1 - -5)). Let a(s) = z*s**2 + s**2 - 2*s**2. Let q(o) be the third derivative of o**4\/24 + 2*o**2. Give q(a(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -255, -1092, -2061, -3168, -4419, -5820?\nAnswer: -7377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 5. Let u be i(4). Let s(y) = -y + 1. Let d(p) = p**2 + 3*p - 4. Let k(t) = u*d(t) + 5*s(t). Determine v, given that k(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5\/6, -2, -606 in ascending order.\nAnswer: -606, -2, 0.3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 404945087 a multiple of 6498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 26*y**2 + 18*y + 48. What is the hundreds digit of x(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001888156621 to seven dps.\nAnswer: 0.0018882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 9080.15 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let b(d) = 0*d**2 + 10*d**2 - 1 + 1. Determine h(b(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2959 + -0.2959002117. Round y to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 447589, 895134, 1342651, 1790140?\n\"Answer: -14*k**2 + 447587*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/15*3\/12)\/((-40)\/25200*7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5)*u*u**0*(u\/((u*u**(1\/2))\/u))\/((u**(2\/9)*u*u*u)\/u) assuming u is positive.\nAnswer: u**(-85\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2042 + -2440?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 9:38 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 159655*f + 4629982. Calculate r(-29).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3338.9 plus -713?\nAnswer: -4051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**4\/24 + s**3\/3 + 2*s**2. Let a(k) = -2*k - 2*k - 5 + 3*k - k. What is -4*a(h) - 9*l(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4229?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 4*y - 4. Let n be m(1). Solve n*u + 6 = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26265000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**3 - 15*t**2 + 11*t + 11. Let h(c) be the first derivative of -c**4\/4 + c**3 - c**2 - 2*c + 146. Determine -2*g(s) - 11*h(s).\nAnswer: s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-872)\/(-144)*9*162.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155380025 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 13*w**2 - 30*w - 12. Calculate m(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y - 7. Let a = -48 - -41. Let o be i(a). Suppose o = q - 2*q + 4*j - 1, 20 = 2*q + 3*j. What is the greatest common factor of 77 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 14*h - 17. Let m be q(12). Let p = m - 1. What is the highest common divisor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14313918 to the power of 1\/2, to the nearest integer?\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 less than -3?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 w when three letters picked without replacement from wwwwwwlwwwwww.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1021102 (base 4) to base 2\nAnswer: -1001001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 38055 (b) 70\/11 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 133*i - 127*i. What is the tens digit of (-3)\/i - ((-452)\/7 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-24) + 10 + (-312)\/32.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2126099, -4252204, -6378309?\n\"Answer: -2126105*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-22) - (-2)\/22. Let c = -184\/3 + 61. Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2798 - 1559. Calculate the greatest common factor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2392.8 + 2055. Let s = 338 + k. Which is the closest to -0.1? (a) s (b) -12 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.07 - -0.07. Which is the nearest to -0.1? (a) -0.5 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30319 divided by 5?\nAnswer: -30319\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10715.4 + 10715. Let g = -3 - -1. Let o be 1\/g - (-2)\/4. Which is the nearest to w? (a) -2\/11 (b) 2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 7*l**2 - 5*l + 35. Let y be v(7). Let m = -37.7 - -38. Which is the nearest to -2? (a) y (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 7*x + 11. Let n be f(6). Let s = 17 - n. Suppose 2*h - 4 + s = 0. Solve 0 = -3*b - h + 11, -t = 2*b - 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 145 (b) 3\/13 (c) -1\/2 (d) 0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1907120 and 15.\nAnswer: 5721360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 37*n - 141 + 35 = 0, p + 69*n = 71*n - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2341866.64999986 + -2341864.65. Let i = 2 - x. What is i rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3076 + 18*l**2 - 3075 - 21*l**2 + 12*l**4 + 5*l**3 to the form h*l + j*l**4 + a + x*l**3 + y*l**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - 69?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Solve -8 = -n*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, x: 12}. What is prob of picking 3 x and 1 w?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*j + 40, -3*u - 64 + 4 = -3*j. Suppose -x - 36 = -18. What is the remainder when x\/63 - 1110\/(-14) is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234367215, 234367211, 234367207, 234367203, 234367199?\nAnswer: 234367195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*h - 4*h = 11, 3*h = -2*l - 6. Suppose 2*n = n + 8. Solve n = l*y + y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(2 + 1 - 4)*(-5 + 4 + 0).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.5084597ns to hours.\nAnswer: 0.00000000000208568325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 80*c**2 - 88*c**2 - 3.\nAnswer: -8*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 13) in base 11?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138\/759*(1 - 0)\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*w - 5*j, -3*w + 6*w - 21 = -4*j. Suppose -308 = -w*u + 229. What are the prime factors of u?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 12 (c) 59\/12 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (18 + -590)\/(-1 - (-3 - -4)) is divided by 54.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 5 (c) 1 (d) -126 (e) -1\/3 (f) -93\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6849108, 6849111, 6849116, 6849123?\nAnswer: 6849132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 109?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 15893*f - 235. Let z(l) = -7946*l + 134. What is 4*n(u) + 7*z(u)?\nAnswer: 7950*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 15 = -5*t, -m - 2*t + t = -18. Suppose 5*w = 2*r, -r - m = 2*r. What is the units digit of ((-9)\/(-12))\/(w\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7161.5 - 7161. What is the nearest to -1\/2 in -4, p, 8\/9, 6\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * -4.873.\nAnswer: 8.2841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 16*b**2 + 288*b - 11. Determine t(-18).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2340 is divided by 258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2465 - 2463. Factor 3\/2*c**3 - 1\/2*c**u + 0*c + 0 + 1\/2*c**5 - 3\/2*c**4.\nAnswer: c**2*(c - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 25. Let k = 17 + -12. Let l = x - k. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 287\/114053?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9753.\nAnswer: 3, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 250103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 97904 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1272\/3180)\/(-4*(-4)\/1600)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 19793880*z + 293848264090800.\nAnswer: (z + 29690820)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -l - 7, 5*l + 5*s + 11 = 2*s for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23 (b) -41 (c) -2\/283 (d) 0 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 127716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962739299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100609164 to the nearest integer?\nAnswer: 10030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, g: 2, b: 1, m: 2}. Give prob of sequence im.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10015.57 - -10014. Which is the fourth biggest value? (a) -4 (b) -7 (c) -0.5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 2122.169.\nAnswer: 2118.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*a**2*c*o - 5*a**2*o + 7*a*o - 27*a + 264725*c*o + 111*o - 1 wrt c?\nAnswer: -21*a**2*o + 264725*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 38. Let k be c(9). Let z be k + -4*(3 - 11\/4). What is the greatest common factor of z and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -e8 (base 16) in base 10?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = x + 3*t - 130, -499 = -4*x + t. Let c(d) = -d**2 - 2*d + 5*d + x - 121 + d. Let s(p) = 4*p + 1. Let b be s(1). What is c(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2765 - -923. Let r(p) = -4*p**3 + 7*p**2 - 19*p - 20. Let u be r(-8). Let i = h - u. What is i rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/175)\/(2*2\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) - (sqrt(605) - 3*(3 + sqrt(605))) - (sqrt(605) + 0 + 2 - sqrt(605)))*-1 + -4 + 0)**2.\nAnswer: 726*sqrt(5) + 5566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30*o**4 + 1259*o**3 - 259136*o.\nAnswer: 360*o**2 + 7554*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 960900864 a multiple of 1232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4452)\/(-18656))\/(135\/(-20))*(-3)\/(-7)?\nAnswer: -1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10}. Give prob of sequence yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = 0, a - 4*a - 4*m - 1 = 0. Let k = 6 + a. Suppose 5*j - 56 = -k*c, 2*j - 5*j + 33 = 2*c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157819 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83482438 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6756362 milliseconds in days?\nAnswer: 0.0000000193939375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 3*w, 2*w + 7 - 4 = -c. Suppose -2*l - 544 = -3*h - 38, 3*h + 5*l - 478 = w. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d**3 + 9620*d**2 - 4820*d**2 - 4800*d**2.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 623, 0.14, -2, 3, -0.28?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by 3.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 384 divide 377618166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 - -253?\nAnswer: 27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 0, 2*x = -c - 2 + 16. Suppose -2*h = -x*h + 2665. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25 - -22221403?\nAnswer: 22221432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1087*p**2 - 2*p + 2. Is g(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.3. Let q be (1\/2)\/((-96)\/768). Is o greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -45*n**2 - 43*n + 1. Let g be t(-1). Sort g, 5, 0, 3, 761 in ascending order.\nAnswer: g, 0, 3, 5, 761","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5860 + -4?\nAnswer: 5856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**5\/30 + 9*h**4 + 109*h**3\/3 + 164*h**2\/3 - 153*h. Solve i(l) = 0.\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 12 - 11534*k**2 - 17 - 10173*k**2.\nAnswer: -21707*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 546839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/5))**(-2)*(x*x*(x**(-1\/3)\/x)\/x*x*x)**24 assuming x is positive.\nAnswer: x**(194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 11, 46, 105, 194, 319, 486?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 343016\/5 + -412391\/6. Let y = -679\/5 - u. Calculate the common denominator of 35\/3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**2 + 83*s - 83*s + (0*s - 2*s - s)*(-2*s - 2*s + 3*s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 9 - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*w**2 + 6475 - 12930 + 6457 - 50*w to the form a + j*w**2 + f*w and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 + -2) - (-16 + 13) - 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkqdqdddqqqqdkvdqkd. What is prob of picking 1 d and 2 k?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 6:01 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 411224.436 minutes to weeks.\nAnswer: 40.796075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.34 + 0.06. Let d = 127.8 - 128. Let u = d - 4.8. Which is the third smallest value? (a) z (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282458493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -16) + -12 - 15 - (-6 + -67 - 11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -4\/7, -5, -7\/9, 731?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uneb when four letters picked without replacement from {q: 2, j: 2, b: 1, n: 1, e: 1, u: 1}.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-56)\/(-6) + 121\/33 + -4. What is the greatest common factor of 153 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 553, 5 in decreasing order.\nAnswer: 553, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 119530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {n: 3, j: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*n**5 - 206*n**3 - 2*n**2 + 2*n + 14413 wrt n.\nAnswer: 140*n**3 - 1236*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165 or -1\/19?\nAnswer: -165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 36 = -3*o. Calculate the least common multiple of 84 and 4\/4*-4*o\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(51)\/(-3*sqrt(3))*4)*-3.\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*(h\/(h*(h*(((h*h**(1\/2)\/h)\/h)\/h)\/h)\/h))\/h)\/h*h*h**(-1\/26) assuming h is positive.\nAnswer: h**(45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -301*x - 15351. Calculate p(-51).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -52. What is the third derivative of -118*i**o - 26*i**2 - 2*i + 2*i + 128*i**6 wrt i?\nAnswer: 1200*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*h + 9 - 4, -h - 20 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.535, -1.7, 0.056.\nAnswer: -1.7, -1.535, 0.056, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 6) to base 7\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/4)\/((-2)\/16) - (104 + -86921) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1826 - 1831. Which is the closest to 5? (a) 0.4 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Suppose i = -j + 2*l + 169, 5 = -5*l - 15. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 1 (c) -0.1 (d) 2 (e) -465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 + 5638 = 23*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezsrzxw. Give prob of sequence we.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40410442 (base 5) in base 6?\nAnswer: -10552031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3309 and 1736122?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 7*d + 6. Suppose -i = 2*i - 4*w - 26, -i = 5*w + 4. Does 18 divide o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 2*g + g)*(1560*g + 2190*g - 746*g + 1021*g).\nAnswer: 8050*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 0 = 3*w + 2, -2*o + 3*w - 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5661315 (base 8) to base 9.\nAnswer: 2785322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 13) to base 3\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + sqrt(21))\/sqrt(7) + (sqrt(324) + sqrt(9))\/sqrt(3))**2 + -3*sqrt(36)\/(4*sqrt(12)))*-2.\nAnswer: -600 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.210829?\nAnswer: 0.089171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 42 + -40. Suppose -5*i - 18 = q. Sort -3, i, 4 in ascending order.\nAnswer: i, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*u + 359 + 4283 + 1129 = 0 for u.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1*18\/(-4). Suppose 2*p = -p + m. Let g = 17 - 6. What is the remainder when g is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y - 55. Calculate the smallest common multiple of q(15) and (61 + -49)*21\/18.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6946671?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 1947, -2, -174.\nAnswer: -174, -2, 14, 1947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k = 28. Suppose k - 188 = -2*i - 5*g, -5*g = -2*i + 211. Let o be (-80)\/(-182) + (-28)\/i. What is the nearest to -2\/11 in -3, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from vkqltvkqqkv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1620*y + 1631*y - 3252*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/(-222))\/(14\/12*(-14)\/(-126)*-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 225*u + 255. What is v(0)?\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7374107, 7374415, 7374929, 7375649, 7376575?\nAnswer: 7377707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131340 + -4541?\nAnswer: -140321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 0 + 7*d + 0*d**2 + 1\/14*d**7 + 0*d**3 + 0*d**5 + 1\/3*d**4 + 0*d**6. What is the third derivative of f(t) wrt t?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 1:13 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -109, -183, -277, -385?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-nine thirds of a day?\nAnswer: 13920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1.3 (b) 1 (c) -2\/19 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8774945?\nAnswer: 5, 53, 33113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 - -168. Does 6 divide 9558\/g - (-8)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 127 in 3\/7, -9, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1913538, 3827084, 5740630, 7654176, 9567722, 11481268?\nAnswer: 13394814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 8*u = 0, -3*u = 3*r - 357. Calculate the common denominator of (17\/r)\/(6\/(-889)) and (-86)\/(-4) + 1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, r: 2, l: 1, q: 7}. Give prob of picking 1 e and 3 q.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*i + 198*i + 131*m = 96*i + 1170, 5*i + 0*m + 5*m - 30 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from veevvehvvvxwe.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 2*j**2 + 4*j**2. Let y(m) = -945*m**2 + 319*m**2 + 306*m**2 + 5*m + 311*m**2. Give y(g(a)).\nAnswer: -9*a**4 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -141, -139, -137, -135, -133, -131?\n\"Answer: 2*p - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 7}. Give prob of sequence bbc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60 - 48. Let l = 86 - 154. Let k = 164 + l. Calculate the greatest common factor of j and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -0.3 (c) -0.156 (d) 0.12 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -5*k**2 - k. Let l(j) = 56*j**2 + 8*j. Let u(s) = 8*c(s) + l(s). Let t(v) = 127*v. Calculate t(u(n)).\nAnswer: 2032*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101011000101 (base 2) to base 13.\nAnswer: 6b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*r - 914*r**2 + 1439*r**2 - 526*r**2 + 14*r**3 + 2 to o + k*r**3 + h*r**2 + z*r and give z.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 30*d + 93. Calculate p(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cmcmmmmxcmcmmm?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**5\/4 + v**3\/6 + v + 9. Give d(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 4*u - 8. Let g(i) = i**2 - i. Let n(p) = b(p) - 5*g(p). Let k be n(9). Find the common denominator of (-15)\/(-25) + 1038\/k and -8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2. Let z be (1 - (-18 + 5))*80\/28. Let a(p) be the first derivative of 0*p + 0*p**2 - 1\/3*p**3 + z. Give a(m(f)).\nAnswer: -100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 137\/6*q + 29*q**2 + 43\/6*q**3 + 1 = 0.\nAnswer: -3, -1, -2\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7507 is divided by 776.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1013, -1022, -1047, -1094, -1169, -1278, -1427, -1622?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1\/3 (c) -202.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4\/5 + 17248*j**3\/5 + 24796872*j**2\/5 + 2378844288*j + 11869441812\/5 = 0.\nAnswer: -1437, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qggq when four letters picked without replacement from gqqqgqqqqqqqqqqgqqgq.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*2\/((-16)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7495 - 7491. Sort 2\/7, 115\/3, -0.2, u, -1\/10 in decreasing order.\nAnswer: 115\/3, u, 2\/7, -1\/10, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 55000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**6)\/k)\/(k*k\/((k\/(k*(k*k**7*k)\/k))\/k*k)))\/(k\/(((k**1*k)\/k)\/k))**(-4) assuming k is positive.\nAnswer: k**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11040*k**3 - 3527*k**3 + 17745*k**3.\nAnswer: 25258*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 633997, 1267996, 1901995, 2535994?\n\"Answer: 633999*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/11, 3, 0.02, 0.04, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**4 + 2*d**4 + 11 + d**4 wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t**2 + 427*t - 8743. Determine h(52).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31679928 a multiple of 1841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:10 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 4800.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202001 (base 3) to base 14.\nAnswer: -138d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1470, 5725, 12800, 22683, 35362, 50825, 69060, 90055?\nAnswer: 113798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/sqrt(2) + 4)*-3.\nAnswer: -12 - 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and 0.284?\nAnswer: 6.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*k**3 - 3*k**2 - 150*k + 176374?\nAnswer: -240*k**2 - 6*k - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/21 + -325\/336. Let r(x) = 2*x - 1. Let q be r(3). Let p = -4 + q. Is p at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 5219205169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 2*o. Let f be (-4)\/(-6) - o\/15. Suppose f = 5*x - 7*x + 18. Calculate the remainder when 21 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13227948047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8588.495 years to decades.\nAnswer: 858.8495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1274749 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 212670727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-98)*12*3\/(-108)*-56*39?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 859335 and 7768?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**4\/3 + 91972*s**3 - 4230220*s**2 + 176559200*s\/3 - 220696000 = 0.\nAnswer: 6, 20, 275870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263*k**2 - 263*k**2 + 32*k**3 + (3*k**2 - 2*k**2 + 6*k**2)*(-k + 1 - 1) + 4*k**2 - 4*k**2 + 2*k**3)*(-5*k - 23 + 23).\nAnswer: -135*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1108041 and 167885?\nAnswer: 5540205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 8*s**3 - 2*s**2 - 2. Let x(p) = -p**2 - p - 1. Let q(i) = -x(i) + y(i). Let j(t) = t**3 - 12*t**2 - 13*t + 1. Let a be j(13). What is q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttl when three letters picked without replacement from {l: 9, t: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 3:11 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 + 6*b**2 - 8*b**2 - 1 + b + b**2. Let j(d) = 3*d**2 + 8*d - 7. Let h(z) = j(z) - 4*q(z). Suppose 1 = a - 2. What is h(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 - 306 = -16*x. Suppose -5*o = -4*w - 174, 92 = 3*o + 5*w - x. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71\/4 of a tonne?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 234 + 1032 = 0. Is 23 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-3 + 0)) + 5. Suppose u*m + 2 = -3*b - 3, 11 = -b - 4*m. Sort 0.5, b, 3 in increasing order.\nAnswer: 0.5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -54. Is i greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*((-69)\/15 - 8\/20). Let b = 0 + n. Solve -3*q - q + b*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l + 40. Let p be f(-22). Let a be -2 + 0 - (-2 - p). Let w = -0.2 - -0.7. What is the biggest value in 3, w, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in decades?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - h - 54 = 0, -3 = -3*h - 12. Let y = a - -12. Let b = y - -7. Solve 2*q - b = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -454, -2595, -8108, -18679, -35994, -61739?\nAnswer: -97600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10869715.\nAnswer: 5, 17, 41, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 12. Let p be q(11). Let m = p + 255. Solve 0 = 4*g + 2*b + 24, -2*g - 4*b - m + 7 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**5\/40 + 5*w**4\/8 - 11*w**3\/8 - 63*w**2\/4 - 8900. Factor n(f).\nAnswer: f*(f - 4)*(f + 3)*(f + 21)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w - 2*w + w + (-4 - 3 + 5)*(-4*w + w + 2*w) + 1 - w - 1.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24958.\nAnswer: 2, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -283, -297, -311, -325, -339, -353?\n\"Answer: -14*w - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 111 + 1430 = 3*h, -h = 3*c - 3917. Suppose 0 = 6*t - 10*t + c. Suppose -a + 604 = 5*n, -t = -5*n + 5*a + 284. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.46 times 1490\nAnswer: -2175.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y - 3. Let i(m) be the second derivative of m**3\/6 + 2*m**2 + 94*m + 1. Calculate -4*i(c) - 5*u(c).\nAnswer: 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17225 - -17224.36. What is the closest to 1 in -2, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -5)*(2 - 19). Suppose -2*v = -7*v + i. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.4 and -220.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.6, 8, -13400 in descending order.\nAnswer: 8, -1.6, -13400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 3:06 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*o + 24 = 742 + 209 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 (base 14) in base 3?\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4393)\/(-161) - 28 - (-63971)\/7?\nAnswer: 2, 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/sqrt(300) + 0.\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3875 + -46471\/12. Let q = j - 13\/6. Let k = -0.1 - 0.3. Which is the nearest to 0.2? (a) q (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*g = -18118, 0 = -5*f + 41*g - 38*g + 45295. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 10\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) 2 (c) 38.7218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-1 - -1) - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -97 - (2 - 0) - -3. Let i = 171 + m. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 8 - 3)*(5*l + 4*l + 0*l)*(0*l**2 - 2*l**2 + 6*l**2) as g + m*l + o*l**3 + z*l**2 and give o.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176276 and 6636?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 5*g**2 - 11*g - 27. Let j be w(-4). Suppose a - 3*a - l + j = 0, -a - 22 = 5*l. Solve 20 = -a*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 123, 280, 583, 1080, 1819, 2848?\nAnswer: 4215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 194480 by 2210.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 1 = -0*y - 5*p, 5*p + 7 = -y. Let n(k) = 18*k + 6. Let j be n(y). Let l be (13\/5)\/(232\/j - 4). Which is smaller: -21 or l?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707488 to the power of 1\/2, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1288 - 1290. Let i be (-8 - -12)\/(1 - -6). Which is the nearest to 0.7? (a) i (b) l (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*((sqrt(880)*-2 - sqrt(880)) + sqrt(880))*-4)\/((sqrt(4500) + (sqrt(4500) + (sqrt(4500) - sqrt(4500)*-1) - sqrt(4500)))*5).\nAnswer: -2 + 32*sqrt(11)\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7672? (a) 1 (b) 0.4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41755 and 3858162.\nAnswer: 19290810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2 - 65892050*b + 1085440563300625 = 0. What is b?\nAnswer: 32946025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (223 - 47) + -60\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 l when three letters picked without replacement from ltzlplzzzz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3368301 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - 26*v**2 + 17*v + 11. Let m(r) = -r**3 - 9*r**2 + 6*r + 4. Let w(j) = 8*m(j) - 3*x(j). Does 13 divide w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1082 (b) -1 (c) 5 (d) 405 (e) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - -77. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/208*18837\/126?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 16*v**2 + 4*v - 22. Let j be 26\/(-1)*(0 + 1). Let s = 42 + j. Is r(s) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/7 (b) -5 (c) -5\/26 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*w - 2*w - 1329, -2*j - 4*w + 526 = 0. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*r**3 - 55*r - 33*r**3 + 49*r + 16*r**3.\nAnswer: r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -893, -2332, -6253, -13898, -26509, -45328?\n\"Answer: -207*t**3 + t**2 + 7*t - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -223, -909, -2055, -3661, -5727?\n\"Answer: -230*f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - y)*(-2 + 0 + 3) + (1 + 0 + 1)*(-4*y + y + y) - 4*y + 2*y + 0*y + 7*y - y - 25*y + (1 + 0 + 0)*(3*y - 3*y - 5*y).\nAnswer: -31*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -196698\/17 or -11570?\nAnswer: -196698\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17581 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 - 688*i - 515 wrt i.\nAnswer: -4*i - 688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326361?\nAnswer: 3, 7, 15541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1946*a**2 - 13*a + 21. Let v(m) = 1296*m**2 + 8*m - 13. Determine 5*b(d) + 8*v(d).\nAnswer: 638*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 15*k - 318. Let n(d) = d**3 + 8*d**2 - 12*d + 4. Let p be n(-9). Let g = p + -17. Calculate the remainder when q(23) is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -3. Let g(z) = 2*z**2 - 3*z. Let q be g(u). Calculate the remainder when 17 is divided by (q\/2)\/((-1)\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x + 2*x)*(3 - 3 - 1) - 141 + 141 + 21*x + 0 - 2*x + 0 - 2*x + 8*x - 13*x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*f + 273, 0 = 4*a - 4 - 0. Let c = 109 - f. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12569*j**3 + 2 - 15*j**2 + 15*j**2 + 12780*j**3.\nAnswer: 211*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 3667?\nAnswer: 1\/3667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*((-2)\/(-1) - -1). Suppose -g = -k*g - 8. Let s = -441 + 430. Sort g, -2, s in increasing order.\nAnswer: s, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317.5921ug to nanograms.\nAnswer: 317592.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212847.\nAnswer: 3, 70949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - m + 11. Let a be t(0). Suppose a - 5 = d. Suppose n - 4 - d = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35888090 and 15092.\nAnswer: 789537980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gaaaggggggagggag.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4 + 8*b + 1 - b + 0. Let i(l) = -l**2 - 3. Let q(t) = 1. Let j(r) = -2*i(r) - 6*q(r). Determine n(j(c)).\nAnswer: 14*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 9. Let v be m\/(-2)*(-16)\/(-10). Which is the second smallest value? (a) 0 (b) 4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*z + 59*z = -24 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 351217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 6 - 6)*(0 + -6). Let b be (-12)\/(-10)*m*(-30)\/54. Solve 5*y - q + 22 = 0, -14 - 2 = 2*y - b*q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/20*12\/10*(-6)\/1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6250 and 1451350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {u: 3, w: 2, s: 9, h: 1, y: 3}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28118 and 24.\nAnswer: 337416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q**2 + 4*q**2 - q**2.\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. What is the second derivative of n**m - 3*n**3 - n**3 + 2*n wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 - -0.01. What is the nearest to f in 0.1, 4\/7, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 438787*j + 17551471. Calculate h(-40).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23\/5 + -97\/20. Calculate the common denominator of s and 10\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1019237ml in litres?\nAnswer: 0.0001019237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/7 - 3379602*f\/7 - 6759212\/7 = 0 for f.\nAnswer: -2, 1689803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*t**5 - 8*t**3 - 5*t**2 + 22*t.\nAnswer: -540*t**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 483 - 274 - 213*x - 252. Is h(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a tonne in kilograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.54866 to two dps.\nAnswer: 14.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y**2 + 2*y. Let n(c) = 215*c**2 - 55*c. Let p(s) = 55*b(s) + 2*n(s). Let w(u) = -2*u**2. What is w(p(f))?\nAnswer: -200*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/15*1\/2. Suppose -6*j = -2*j. Suppose -4*y - y + 15 = j. What is the closest to y in -0.5, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-6)\/(-4)*-1. Suppose -3*h = 3*u - d, -2*u = -3*u + h + 1. Let w be -2 + 3 + 2 + u. Solve w*b + 5*n = 1 - 3, 3*b - n - 8 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121 or 485\/4?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572755, 1145512, 1718269, 2291026, 2863783?\nAnswer: 3436540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -897, -3594, -8089, -14382, -22473, -32362?\n\"Answer: -899*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171995?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, t: 4}. What is prob of picking 1 a and 1 t?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -4864 (b) 2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + j**2 + j + 0*j)*(-j - 3*j**2 + j) to l*j**4 + u*j**3 + d*j**2 + q + i*j and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {m: 10, z: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asj when three letters picked without replacement from ccsccgacj.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 + 1.5. Let m = v - 7. Let a = 2 + m. Put -0.5, a, 0.3 in descending order.\nAnswer: 0.3, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -27, -2, 12 in descending order.\nAnswer: 12, 6, 0, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3174.53 + 0.08\nAnswer: 3174.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 318, 622, 908, 1170, 1402, 1598, 1752?\n\"Answer: -s**3 - 3*s**2 + 320*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 7 - 6 - 7 + 18. Calculate j(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 703 - -1?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 + 256564*y**3 - 8229161954*y**2 + 65820981072*y - 131633752608.\nAnswer: -2*(y - 64137)**2*(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-18 - -4) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 586*q**2 + 28*q - 190. What is the tens digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) 1\/2 (c) 11.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose -3*n - 12 = w, b - 8 = -3*n - 0. What is the highest common factor of b and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3816 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 942151.9 tonnes?\nAnswer: 942151900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -0.149 (c) -4 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -7*g + 1\/24*g**4 + 0 + 0*g**3 + 3\/10*g**5 - 6*g**2. Let m(y) be the first derivative of z(y). Give m(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**3 - 4*w**3 - 2*w**3 + (-4*w**2 + 4*w**2 + w**2 + (4*w - 4*w + w)*(-w + w - 2*w))*(3*w + w - 2*w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -84*(161\/(-28) - -5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 + 1398*n**2 + 20013*n + 70560.\nAnswer: -3*(n - 480)*(n + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 2*g**2 - 3*g + 3. Let y be f(3). Suppose -y + 1 = 2*o. Let l = 2 - o. Solve -l*h + 1 - 7 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35241072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q. Suppose -2*h = h. What is the first derivative of q - 2*r**2 + 1 + h wrt r?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4 + 245*a**3 + 3345*a**2 + 8395*a + 5290 = 0.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 9*r**2 - 61*r + 27. Let w(g) = g**3 - 4*g**2 + 32*g - 12. Determine 4*h(b) + 9*w(b).\nAnswer: 5*b**3 + 44*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3621 = -178*i + 595. Put -5, i, 26, -1 in decreasing order.\nAnswer: 26, -1, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*(-54)\/4 - 2. Let s = -3 + 7. Suppose 0 = m*o - s*o. Solve a = o, -5*a = -2*v + 7 + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -0*x - 2*x. Let b = x + 1. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4375)\/(-4900))\/(20\/14)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/21))\/g**(5\/3))**(-50) assuming g is positive.\nAnswer: g**(800\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42510?\nAnswer: 2, 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c + 29*c**5 + 2*c**3 - 10*c**5 - 2*c**3 wrt c.\nAnswer: 380*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 - 283*k**3\/2 + 423*k**2 - 845*k\/2 + 563\/4.\nAnswer: (k - 563)*(k - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 627\/(-152988)*4\/(-1)*((-6)\/3)\/2\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/2, 1\/772, 0.2, -0.3, 2\/19?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16999597 is divided by 136.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 28. Let x be j(10). List the prime factors of (15 + x)*(-52)\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = -5*q - 23, -b = 5*q - 23. Suppose -j - 7 = -r, -2*r = -4*j - j - b. Let n be (-4)\/(-6) + 34\/(-6). Sort n, 4, j in ascending order.\nAnswer: n, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/3, -1\/5778, 1\/8?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14705 (base 10) to base 12.\nAnswer: 8615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -76742121?\nAnswer: -76742121.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148 + -1.69.\nAnswer: -149.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 37*x**2 + 193*x - 126. What is o(8)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 5*y - y - 6 + 9 - 2*y**3 as h*y**3 + f*y**2 + v + m*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*b - 19. What is the units digit of b\/(-12) + (-20)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*r - 718 = -418 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 211 and 211 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 21 = -2*a - 0*a, 0 = -65516*a + 65512*a - 5*g - 7 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -152 - -628. Suppose 4*t - 374 = -5*r, 5*t + 6*r = 4*r + g. What is the highest common factor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/164556907 and 19\/2497491.\nAnswer: 1481012163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + -9.92. Let w = i - -7. Let d = -1 + -3. Which is the smallest value? (a) d (b) -0.1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 380 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 10*h + 12. Let y = 24 - 15. Let b be m(y). Solve x - 4*t + 7 - 1 = 0, -b*x - 5*t + 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 2190.\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) -187 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljljyllm. Give prob of picking 2 j and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304796 = -1598*p - 1715*p for p.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2436.7 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356 + 888 - 319 - 16*k - 362.\nAnswer: -16*k - 149","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4395 and 15.\nAnswer: 4395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1358 (base 15) to base 2.\nAnswer: 1000000100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/552419 and 23\/868087.\nAnswer: 6076609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 7*r = 5*c - 15, -8 - 1 = 3*c + 5*r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 723677 divided by 8719\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2\/11 - 37998852*b\/11 + 37998854\/11 = 0.\nAnswer: -18999427, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 4.\nAnswer: -1, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5 - a**3 + 2*a**2*c**2 - 1004*a**2 - a + 338*c**2 + 4 wrt a?\nAnswer: 20*a**3 - 6*a + 4*c**2 - 2008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-85)\/227*7430\/(-315775)\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5509.24 millilitres to litres.\nAnswer: 5.50924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1209?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1609286738 and 1.404.\nAnswer: -1609286736.596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 216 and 1584?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 12 = -3*o. Let b be 1*24\/(-8) - -3. What is the biggest value in b, o, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -12*z. Let h(w) be the second derivative of w**3\/6 - 3*w. What is h(i(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(7) + (sqrt(112) - sqrt(7))*-3.\nAnswer: -8*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -46 + 22174?\nAnswer: 22129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(2 - 2 + 4)*(5*c**2 + 0*c**2 + 3*c**2).\nAnswer: -64*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.1 times -0.1?\nAnswer: -3.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 4603534?\nAnswer: 4603541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4657344l to millilitres.\nAnswer: 465.7344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 28*x**2 + 20*x - 42. Let j(t) = -13*t**3 + t**2 + 4*t + 2. Let f be j(-2). Let n = -127 + f. Is u(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 165273348 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 27 (c) 2\/5 (d) -311\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -22, -58, -118, -208, -334?\n\"Answer: -y**3 - 3*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -11 + -21 + 29 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -12. Let m be ((-28)\/k)\/(1 + 6\/(-8)). Suppose -m*l + 18*l - 24 = 0. Calculate the remainder when 20 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-19))\/(-1 - 1). Let k = -165 - -163. What is the closest to 1 in k, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 110 + 50 + 29 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845*x = -271*x - 7*x + 1071*x + 173628 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((11 - 4 - 5)*(4 - 2*q - 4) + (4 - 4 - q)*(-4 + 1 + 1))*(-5*q - 2*q**2 + 5*q)*(q - 68 + 68).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) -0.2 (c) 6551726\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c + 4. Let r(n) = -28*n + 17. Let m(b) = r(b) - 6*w(b). Let j(h) = h + 5. Let l be j(0). What is m(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*d - 67*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (0 - -2 - -209). Let c = j + -76. Let x be 197\/c - (-3)\/(-2). Is 1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60680 and 1267720?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + (-4 - -172) - (-3 - -7). Suppose 0*g = g + 4*w - 160, -g - 3*w = -o. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}