diff --git "a/data/dm_maths/full_data_1/10372_11255.jsonl" "b/data/dm_maths/full_data_1/10372_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10372_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (s**0)**(-25)*(s\/s**(2\/9)*s)\/(s**(1\/6)*s) assuming s is positive.\nAnswer: s**(11\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/((-44)\/748187) + 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-2*3 + sqrt(264) + sqrt(264))\/sqrt(8)*6)\/(-5*2*sqrt(243)*-4).\nAnswer: -sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -170 (b) -2\/3 (c) 0.091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*f + 87. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 50 = -s. Suppose 44 + 6 = s*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -24321 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -14 - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 119*n**3 + n**2 + 6*n - 26*n + 7*n + 15*n to the form o*n**2 + v*n + w + s*n**3 and give s.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 13\/5 (b) -2 (c) -21749 (d) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-14)*-1 - 1\/6*0\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 + 6922*m**2\/7 - 55474*m\/7 + 104070\/7 = 0. Calculate m.\nAnswer: -3469, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1372496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54000 - 106*c**3 + 3940\/3*c**2 + 4200*c - 8*c**4 + 2\/3*c**5.\nAnswer: 2*(c - 10)**3*(c + 9)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4524*k = 4201*k - 11305 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 160. Which is the nearest to 1\/3? (a) 0.1 (b) -14 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -413*q**4 + 11*q**2 - 869*q**3 - 3*q**2 + 865*q**3 - 1 + 289*q - 443*q wrt q?\nAnswer: -9912*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1577, 2766, 3537, 3890, 3825, 3342?\nAnswer: 2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 460 + -424. Suppose -2*s + o = -s. Calculate the highest common divisor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -94064*w - 752503. What is q(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -0.2 (c) -2.2 (d) 17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2724.8 + -2578. What is z rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2190514*j. Let l(a) = -5*a. Calculate l(h(w)).\nAnswer: -10952570*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30881671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-38))\/(12*(-7)\/42)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8780.776ml in litres?\nAnswer: 8.780776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03026661 - 47.33.\nAnswer: -47.36026661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644206 is divided by 80525?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 6:23 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*b**3)*(6 + 10 + 10) + 107*b - 56*b**3 - 107*b.\nAnswer: -108*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a**3 - 4*a**2 - 2. Suppose 28*l = 27*l + 96. Let r = -72 + l. Calculate the remainder when f(-3) is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.57051 decades to centuries.\nAnswer: 1.157051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -413332 (base 6) in base 7?\nAnswer: -165503","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -16. Let s(z) = z**2 + 10*z + 2. Let p be s(-10). Let m(a) = c*a - 7*a + p*a. Let h(x) = -9*x. Give m(h(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677113 = 134*i - 137*i - 4*b, 5*b = 5. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*w - 3*r, 5*w = w - 2*r - 10. Suppose b + b - 6 = w. Suppose 0 = b*h + t - 185, h + t = -4*h + 309. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427891644?\nAnswer: 2, 3, 149, 241, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -s + 3*n - 91, 2*n - 2 = 0. Let b = 91 + s. Solve -9 = 6*j - b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 4 in descending order.\nAnswer: 4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3715 divided by 4?\nAnswer: -3715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/38 + 452*5\/190. Suppose 3*q = 3*d - 12, 10*q = 6*q + 3*d - z. Solve x - 2*x - 4 = q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1868*j - 8104*j + 98 - 98.\nAnswer: -9972*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((23\/414)\/(24\/(-4212)))\/(6\/(-4))?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4063 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40200 and 26800.\nAnswer: 80400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/33 - 180\/22. Let f(l) = -l**3 - 8*l**2 + 3. Let i be f(o). Is 1\/i - (-87)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 27 + 10. What is the tens digit of (m - 13) + 256\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**2\/5 + 62291634*d\/5 + 323353972199163\/5 = 0.\nAnswer: -10381939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**(-5)\/n))**(4\/11) assuming n is positive.\nAnswer: n**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 26*l - 6*l)*(234 + 2*l + 0*l + 164*l**2 - 233).\nAnswer: 2624*l**3 + 32*l**2 + 16*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = -16. Suppose -b*t - 21 = -t. Let s(u) = -3*u + 1. Let a be s(3). Is t bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18416 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*g = 1665 - 293, 0 = 3*g + 9. Put 4, -3, p in descending order.\nAnswer: 4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499983 times -3?\nAnswer: -4499949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 269356200?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76220 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6216331 milligrams to nanograms.\nAnswer: 621633.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1010735\/36 - 28073. What is the common denominator of t and 5525\/(-312)*8\/20?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6132 + 6129. Let i = 4 - 0. Suppose -i = -4*n, 12 + 0 = -2*b + 2*n. Sort c, b, 2 in descending order.\nAnswer: 2, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 4*z**2 - 2*z + 6. Let n be s(4). Suppose -7*v = -10*v + 12. Suppose 5*q - v = 3*j, -3*j - 7 = -4*q + 2*q. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 81036010*g.\nAnswer: -2*g*(g - 40518005)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13286 and 26?\nAnswer: 13286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 2:19 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 353*k**2 + 1140*k**2.\nAnswer: 1493*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77)*-2 - sqrt(77)))))*5 - sqrt(77))*-2)\/(-1*(sqrt(176) + sqrt(176)*2 - sqrt(176))).\nAnswer: 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a4 (base 11) in base 12?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, h: 4, y: 10}. What is prob of sequence hy?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -314 + 320. Let v(w) = 2*w**3 - 12*w**2 - w**3 + 2 + 7*w**2 - 6*w. Determine v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 157*r + 5811. Calculate m(-97).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 5*z**2 + 4*z - 7. Let f = -224 - -233. What is the remainder when o(6) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 291 + -1454\/5. Which is the fourth smallest value? (a) y (b) -5 (c) -0.2 (d) 27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*r**3 - 79*r**2 - 38*r**3 + 79*r**2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 70 in 0.204, -5\/4, -3.48, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 1, v: 4, r: 1, m: 1}. Give prob of picking 1 m and 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*u - 1373, 258*l = -4*u + 254*l + 1076. What is the greatest common factor of 364 and u?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-12)*3)\/((-6)\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 18 - (-3 - (2 - 9)). Suppose 18*o - z*o = 88. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + w)*(-2*w**4 + 0*w**4 + 0*w**4) + 2*w**5 + 335*w**4 - 335*w**4 - 6.\nAnswer: 4*w**5 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -161 + 161.3. Which is the third biggest value? (a) -5\/2 (b) j (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3 - 1. Is 2\/29 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 0.6876.\nAnswer: -2.0628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 + 59*z**2 + 39*z + 428. Give h(-19).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1092.61 to the nearest 10.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*u + 6. Let c be (u\/(-8))\/(2\/8). Suppose -2*y + 110 = c*y. What is the remainder when 43 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) 116\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 1)*2 + -1)*8. Suppose 0 = -2*k + p*k - 30. What is the third derivative of 14*y**k - 3*y**5 - 7*y**2 + 9*y**5 wrt y?\nAnswer: 1200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + h**3 + 1)*(-135*h + h**2 + 11670 + 11670 - 23332).\nAnswer: h**5 - 135*h**4 + 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.4, -5\/6, 102.9, 5?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 29 = 5*g - 0*v, -6 = -3*g - 5*v. Calculate the remainder when 33 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4614855?\nAnswer: 3, 5, 7, 43951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, 4, 3, -5, -2.\nAnswer: -5, -2, 3, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33901434?\nAnswer: 2, 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*s + 48, 126 = 2*p + 2*s + 2*s. Suppose -3*f + u + 24 = -72, 2*f = 3*u + p. What is the highest common factor of 330 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20\/3, 1, -1\/2, -114, 2 in decreasing order.\nAnswer: 2, 1, -1\/2, -20\/3, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0064107 to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 530406741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6a29 (base 16) to base 14\nAnswer: -9c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 + 79. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 6252749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**3 + 0*i**2 - 6 - 2*i**2 - 13*i**3 in the form m + k*i**3 + w*i**2 + l*i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5026\/5 + 1007. Which is the closest to -1\/2? (a) -2 (b) 3 (c) h (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(364\/(-12))\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -5\/6, -0.6, 3\/2, -4\/9, -1089?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121.3, -2\/5, -0.2, -2\/25, -95 in ascending order.\nAnswer: -121.3, -95, -2\/5, -0.2, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2 - c + 11. Let n be (-8)\/(-4) - (9 + 1). Let z = -4 - n. Calculate the remainder when b(0) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*o - 5, 5*x = -2*o + 33575 - 33579 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 + 25. Let b be d\/3 + 2\/6. Let g(y) = y**2 + y - 8. Does 24 divide g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3783 is divided by 610?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of -o**5\/120 - 19*o**3\/3 + 3. Let g(q) be the third derivative of s(q). Let z(j) = -16*j**2. Calculate g(z(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 5*p - 2*p + (-3*p + 3*p - 2*p)*(2 - 13 + 31).\nAnswer: -37*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524836.\nAnswer: 2, 13, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 242?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.3. Suppose 3*m + 3*p = 0, 2*m - 5*p + 5 + 9 = 0. What is the third biggest value in 1, u, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and -108174758192512?\nAnswer: 108174758192511.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 79*d - 6669. Is n(116) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.962185 rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times -1057?\nAnswer: -84560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3893, -15874, -35907, -63992, -100129?\n\"Answer: -4026*v**2 + 97*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - (18 + -33) - -51.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/60 + r**4\/24 + 20*r**3\/3 + r**2. Suppose -3 = -j, 3 = -3*h - 3*j + 4*j. What is the units digit of s(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*j - 15 = 148*j. Let s be (-21)\/63 - (-4)\/j. Which is greater: 2\/925 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g + 26. Let h(s) = 2*s + 37. Let m(b) = -4*f(b) + 3*h(b). Determine m(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 - x**2 - x - 1. Let p be j(-1). Let w = p - 1. Suppose l + l - 33 = 5*f, -2*f - 2 = 2*l. Is l smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, -3, 1 in decreasing order.\nAnswer: 19, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12631 (base 7) in base 13?\nAnswer: 171a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 12 = 0, 3*z = -2*m - 2*z - 13. Let a = 3 + m. What is the first derivative of 1 - a*f**4 - 9 + 2*f**4 wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-468)\/(-364))\/(6\/5*(-165)\/(-1848))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.7 - 616505.\nAnswer: -616528.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - ((-111924)\/66 + ((-35)\/11 - -3)). Calculate the highest common factor of j and 136.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -0.3 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13378 + 14411. Calculate the remainder when c is divided by 58.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4980 - -73\nAnswer: 5053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 929*j**4\/24 - 2339*j**3\/6 + 64*j**2 + 2*j. What is the first derivative of y(x) wrt x?\nAnswer: 929","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11\/6))**(-38))**(-30\/13) assuming f is positive.\nAnswer: f**(-950\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-15))\/(-17 - (-600)\/36). Let i(w) = -w**2 + 5*w - 5. Let g be i(5). Put c, -1, g in ascending order.\nAnswer: g, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6318 - -5894.96. Let t = w - -434. Let n = -11 + t. What is n rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 5*m**2 - 11*m + 2. Let z be i(-2). Suppose 608 - 212 = z*q. What is the highest common factor of q and 231?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 17 = -4*n, 19*n = -2*b + 10*n - 38 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3875, 15508, 34899, 62048?\nAnswer: 96955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 312935819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13947, 103902, 345873, 815868, 1589895, 2743962, 4354077?\nAnswer: 6496248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-4)*4\/6. Suppose -10 = 5*v + 5*w, y*w = 4*w. Suppose -801*r = -13041 - 6697 + 2116. Sort v, -1\/2, 1\/10, r in increasing order.\nAnswer: v, -1\/2, 1\/10, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(21\/5)\/(((t\/(t**(2\/19)\/t))\/t)\/t**(-6\/13)) assuming t is positive.\nAnswer: t**(-11887\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*q - 945 = -98*q + 211*q. Let j(o) be the second derivative of o**4\/6 + 7*o**3\/6 - 5*o**2 - 2*o. What is j(q)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 38049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-6))\/(2\/36). Let j be 5999998\/3 - m\/(-9). What is j rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 10797, 21264, 31731?\nAnswer: 42198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 7:53 PM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*f - 5*f - 13 = 0, 4*f = -2*d - 16. Factor -6*r**2 + 14*r**2 - 35*r - 13*r**d - 50.\nAnswer: -5*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 7*r - 4. Let j(k) = 11*k**2 - k - 2. Let w be 2\/(((-16)\/40)\/((-2)\/(-10))). Let q be j(w). Suppose 11 = 7*p - q. What is i(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1050 by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 88815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10492, -10482, -10462, -10426, -10368?\n\"Answer: p**3 - p**2 + 6*p - 10498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3110 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(4\/11)*z*z**(1\/2) assuming z is positive.\nAnswer: z**(47\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5215350, -20861295, -46937838, -83444973, -130382694, -187750995, -255549870, -333779313?\n\"Answer: x**3 - 5215305*x**2 - 37*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 0*h + 0*h + (-3*h + 0*h + 4*h)*(25 - 7 + 112)*(2*h + 0*h + 0*h).\nAnswer: 257*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (-4)\/(16\/20))*-2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/4)\/((-10)\/20). Suppose 0 = f - 0 + 1. Let s be (f + -1)*3\/(-2). Solve -s*o = -2*o + 5*j - z, -4*j - 17 = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + (1 - 2 - 14 - (41 + 39 - 82)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/197 and 95\/174.\nAnswer: 34278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88 - -93. Suppose 0 = -o*y - 15, 0*y = -3*h + 2*y + 51. Calculate the greatest common divisor of 10 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 14. Let d(f) = 4*f - 15. Let w(y) = 4*d(y) + 5*s(y). Differentiate w(i) wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -18\/1562275?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31009 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.76 + 0.26. Let p = 6 + j. What is the biggest value in p, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 35802920*p**2 + 71605824*p.\nAnswer: 4*p*(p - 8950728)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-3*(sqrt(88)\/((sqrt(32)*2)\/sqrt(4)) - (sqrt(1584) + -2 + 2)))**2.\nAnswer: 209484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261*i + 5200 = -127*i - 126*i. Solve i*d = 656*d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1\/((-2)\/(-2)). Let y(n) = 0*n**3 - 9*n**j + 0*n**3 - 7 + 7*n - n**3 + n**2. List the prime factors of y(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -9. Suppose -3*b = 4*g + 8 - 0, -i = -2*b - g. Solve b*w - w + 9 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 911222 is divided by 455602?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10120210011 (base 3) to base 4\nAnswer: 101032123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123124 - -1?\nAnswer: 123125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 5 (b) 4 (c) -0.14 (d) 6\/7 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - -0.9. Let a = -41198 + 205988\/5. What is the nearest to -3 in a, 0.2, n, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2837, 5082, 6735, 7796, 8265, 8142?\nAnswer: 7427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 - 1. Let k = -20 - -19. Determine s(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54158, -54148, -54138, -54134, -54142, -54168, -54218, -54298?\nAnswer: -54414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10218?\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89284.\nAnswer: 2, 13, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 61, 1\/2, -3, 8, -2, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of -497*j**4\/6 - j**3\/3 + 285*j**2\/2 - 5*j - 4. What is the second derivative of h(i) wrt i?\nAnswer: -1988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > 11208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8448728 and 276?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-1 - -1) + 8 + 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/26013 and 79\/345.\nAnswer: 130065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/6915 and -23\/912?\nAnswer: 2102160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 110011010100011110 (base 2) to base 16\nAnswer: 3351e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9101, -18259, -27487, -36785, -46153?\n\"Answer: -35*y**2 - 9053*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 2}. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2735130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41509452 by -13836484.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7 + 3, 4*b + 352 = 2*a. Suppose -2*k + 8 = 0, -a = -4*v + 4*k - 60. Let u = v - -189. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of w**6\/360 + w**5\/45 + 5*w**4\/72 + w**3\/9 - 4*w**2. Factor j(l).\nAnswer: (l + 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7960941.\nAnswer: 3, 173, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/8 - (-4)\/16. Let r = -6920.7 - -6940.7. Which is the nearest to 0? (a) -5 (b) -3\/7 (c) r (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11930 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 7*a**2 + 12*a + 7. Let l be p(8). Let j = l - 35. Solve -4*s = -j*u - 20, 3*s - 3*u - u = 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.16 - -346.84. Let a = n + -230. Let b = -116.9764 + a. What is b rounded to 3 decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(364\/35) - (3 - 4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 15 = 4*y, 0*b + b = -3*y + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i**3 + 4*i**2 - 2*i - 101. Is x(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 143, 145?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51 and 3043?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.23 in -3, -1\/4, -386, -4, 21?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23719982 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.4455 and -0.04756.\nAnswer: 1.63822798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 327599375 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 - 66. Which is the closest to -3? (a) -2\/17 (b) 1\/4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5364 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -3, -2\/7, -515, 0.2, 0.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 30*k**2 - 24*k + 15. Determine s(14).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29549\/(-3432) + 16 - (-1 + 8) and 101\/120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -20. Solve -2*j**2 - 41 + c*j + 40 + j**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 = -51. Suppose -5*v = 3*f - v - 287, 5*f - 513 = 2*v. What is the remainder when f is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.2 (b) 1 (c) 0.174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 + 0.03. Let a = -19 - -18.6. Sort j, a, 0.4 in descending order.\nAnswer: 0.4, j, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-6 + 8) - -9 - 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 2636053.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/15, 2, -3, -0.22?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 1, v: 11, l: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - h**5 + h**4 - 2*h**3 + 2*h**3 + 2*h**5 - 2*h**5 + 2*h**5 - 2*h**5 + (3 + 5 + 4)*(2*h**5 + 3*h**5 - 3*h**5).\nAnswer: 23*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3*n + 210. Suppose 5*l + 15 = -n. Let g(r) = -r**2 - 11*r + 14. What is the tens digit of g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 5 (c) 1\/4 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 10*j**2 - 17*j - 15. Give w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130\/4*(-8)\/(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125068, 249248, 373428, 497608, 621788?\nAnswer: 745968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**4 - 6 + 6*c - 7 + 1 + 6*c**2 - 3. Let l(y) = -7*y**4 + 5*y**2 + 5*y - 14. Let j(n) = -5*h(n) + 6*l(n). Differentiate j(r) wrt r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-1 - -2) - -1604 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 6*f = 4*r - 8, -5*f = -3*r + 6. Suppose f = -u + 1 + 11. What is the remainder when 22 is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = v - 4, -1 = 2*v + 3*m - 2. Let x(b) = -b**3 + 4*b**2 - 3*b. Let o = 5 + 15. Calculate the smallest common multiple of x(v) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0554496 millilitres to litres.\nAnswer: 0.0000554496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22193 - -22247. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/108834 and -26\/141911?\nAnswer: 14474922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6926235?\nAnswer: 3, 5, 103, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -6 + (-2 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24 (b) -2 (c) 0 (d) 0.1 (e) -221\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4060 and -103\/21112000.\nAnswer: 21112000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 39656, 0, -5, -6, -8, 4 in descending order.\nAnswer: 39656, 4, 0, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 + 79. Let b = a + -0.6. Let i = 60 + -65. Is b at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*-2 + -4)*2 + sqrt(42)\/(2*sqrt(6)) + -4 + (sqrt(7)*1)**2.\nAnswer: -7*sqrt(7)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*w - 59*w - 114 = 0. Suppose -2*f = -0*f - 16. What is the remainder when f is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -9 + 8*z - 2*z + 187*z**2 - 184*z**2. Differentiate k(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -7459059?\nAnswer: -5\/2486353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2167*r + 19347 + 43496 = 0 for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 2*m - 3. Let t be h(-1). Solve 2*r + 3*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a - 24 = 26*a - 3*i, 0 = -3*a + 4*i - 29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29131609 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 1. Let b be (-6)\/9 + 11\/3. Sort b, q, 4 in decreasing order.\nAnswer: 4, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3810794 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2766 - 22215\/8. Find the common denominator of 37\/46 and b.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y + 2*h + 2, 12 = -4*h. Suppose 339 = -4*d + 379, -3*l + 7*l = -5*d + 286. What is the remainder when l is divided by y\/(-1 - 23\/(-21))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11087 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 12:46 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1301*z + 706*z + 2095*z + 430710 for z.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 19*l - 27. Suppose -10*k = -3*k + 119. What are the prime factors of g(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 3 - 7*c**2 - 1 + 86*c**2 in the form p*c**2 + r*c + u and give p.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -74*y + 49*y + 52*y - 34 - 39. What is the tens digit of k(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -3. Put 4, 1\/7, u in ascending order.\nAnswer: u, 1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4280 and 10497128.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.4 (b) 2\/7 (c) -0.4 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545550997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 559791701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17796976367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 4*h - 6 - 12, 0 = -2*t + 3*h - 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 66232*j - 9338731. Give l(141).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 738 + -702. Let m = h - 32. What is the remainder when 32 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6674991.\nAnswer: 3, 23, 96739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32\/83 in 2.65, -0.041, -1\/3?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**4\/9 + 4480*b**3\/9 + 106678*b**2\/9 + 687560*b\/9 + 443200\/3 = 0.\nAnswer: -2216, -15, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q - 12*g - 11 - 22 = -34*q, -26*q + 5*g = -41 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3\/5 - -28*(-11358)\/(-360) is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 740 - 740.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27234 divided by -153.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/11154 and -49\/18876.\nAnswer: 245388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 4 in increasing order.\nAnswer: -4, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6786621 and 153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3467375 take away -82.699?\nAnswer: 83.0457375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2799 or -2797?\nAnswer: -2797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4*u**3 - r**4 - 23*r**3 - 5*r**2*u - 2*r**2 + 90*u**3 wrt r.\nAnswer: 24*r*u**3 - 24*r - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/((-72)\/(-90)*10\/(-16))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3848 + 18787\/5. Let o = w - -91. Let i = 0.5 - 0.8. Sort o, 2, i in decreasing order.\nAnswer: 2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 u when three letters picked without replacement from weyeggcgugwc.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 3. Let z be v(-3). Sort 1, z, -4 in ascending order.\nAnswer: z, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 90\/(-25))*-5. Is m at least -5\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33450, -133890, -301292, -535656, -836982?\n\"Answer: -33481*v**2 + 3*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1690 - 1691. Which is the nearest to l? (a) 0.5 (b) -0.02 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**5\/10 - o**4\/2 - 2*o**3\/3 - o**2\/2 + 2*o. What is the units digit of p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -227 - -232. Solve 2*k + h = i, 5*i + 5*k - 3 = 4*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23.25729 centuries?\nAnswer: 27908.748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -591, 1, -26, 7 in decreasing order.\nAnswer: 7, 1, -4, -26, -591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 125\/144?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/15 in 1, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2.7, 2, -1\/1675, -7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -103*w**5\/20 + 17*w**4\/4 - w**3\/6 - 5*w. What is the third derivative of p(b) wrt b?\nAnswer: -618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*x - 22 = 0, p - 11*x + 10*x - 6 = 0. Let q = 2981\/91 - 197\/7. Which is greater: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven tenths of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-5)*(-38)\/((-380)\/25).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50956*t**3 + 979*t**2 - 979*t**2 + 21 - 21.\nAnswer: 50956*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4432.1 + -4432. What is the nearest to -2\/9 in -1, i, 0.3, 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -128*f*l*z**3 + 4*f*l*z**2 - 6*f*z**2 + 4*z**3 + 5*z wrt l.\nAnswer: -128*f*z**3 + 4*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 times -2\nAnswer: -0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -22.9, -3, -0.4, 3, 2.8, -203?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4140 in 2, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/124 and 73\/124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 102, 234, 420?\n\"Answer: 27*i**2 - 3*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 1. Let h(x) = -x**2 - 6*x + 5. Let b(o) = h(o) - 3*r(o). Calculate the remainder when b(-8) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 133304021?\nAnswer: 133304016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 1. Let p be x(-2). Let i be (-14)\/18 - 0 - -1. Which is smaller: i or p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -43*l + 10. Let y(b) = -27*b + 11. Let o(t) = -3*x(t) + 4*y(t). Determine o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 103873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose l = -2*f + 3 + 11. Suppose -6*p - 8 = -f*p. Is p not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 + -4 + (3 - -3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/20)\/(1251\/(-3336))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -51368604 from -1986.\nAnswer: 51366618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 17*g**2 - 4*g - 20. Let y(k) = k**3 - 6*k**2 - k + 22. Let z be y(6). Is 9 a factor of s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-24)\/14)\/(1419\/(-77) + 17).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1074*s - 11 - 348 - 578*s wrt s?\nAnswer: 496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/2 - (10 - (26 - 22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 676*g**3 + 2*g**2 + 2*g. Let p be t(-1). Calculate the common denominator of p\/(-180) + (-3)\/((-27)\/(-2)) and -83\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*h**2*r*y**3 + 132*h**2*y**2 + 2*h*r*y**2 - 102*h*y**3 - 2*h*y - 4*r*y**3 + 2*r + 2*y**2 wrt y?\nAnswer: -36*h**2*r - 612*h - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 4*sqrt(88))\/sqrt(8) + (0 + sqrt(11))**2*2.\nAnswer: 5*sqrt(11) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laevlnhlallve. What is prob of sequence aal?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49099 = 45*a - 49099 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 3. Suppose c - 2*l - 1 = 1, c = l + q. Suppose -c*p = -0*o - 4*o - 114, -3*o = -2*p + 119. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.089.\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -402*w**6 - 2*w**2 - 134*w.\nAnswer: -48240*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from kblblbbbk.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 10) to base 12\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-3*(-8)\/(-12)) + 1380. Suppose -10*n = -20*n + d. Suppose 3*a = -4*h + 7*h - n, -h = -4*a - 61. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 10:55 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19 and -13\/294734?\nAnswer: 294734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -7.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2. Let q = 232 + -107. Let v(t) = -2*t + 125 - q + 4*t. Calculate y(v(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2070)\/835245)\/((-2)\/15327) + (-38)\/2.\nAnswer: -2\/269","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -153 - -280. What is the second derivative of 117*l - 11*l**4 - x*l + 2 + 8*l**4 - l**2 wrt l?\nAnswer: -36*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(-32 + -4) + 34\/12. Suppose 67 = k*u - 4*n, -3*u - 5*n + 47 = -4*n. Suppose -187 = -0*a - a. What is the greatest common divisor of a and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnzzznzuzn. Give prob of sequence nu.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -541491 and -988?\nAnswer: 534993108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5940 = -3*z, 0 = 4*z - 2*v + 4527 - 12423. What is the greatest common divisor of z and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 6*n**2 + 3*n - 3. Let d = -16 + 41. Suppose -d = 4*f + f. List the prime factors of z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxx when three letters picked without replacement from {g: 3, s: 5, k: 6, i: 2, b: 1, x: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -33db + 3?\nAnswer: -33d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -0.1, 5\/151, -78, 3, 61?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*a**2 - 202*a**2 + 99*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 + 6*g + 6. Calculate the least common multiple of 32 and o(6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7021)\/(-7434)*4\/51\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6236395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.6 and 23.6.\nAnswer: 155.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444 + 446 + (-2 + 15 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 141632 and 0.2.\nAnswer: 141632.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from prrrrrrp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11.24 * 615733\nAnswer: 6920838.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 + -5. Let i = 787 - 3947\/5. Calculate the common denominator of (-2 - k\/(-8))*-35 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -3 + 12\/(-16) + 3. Let o = 309\/5 - 62. Sort -1\/8, d, o, 3.\nAnswer: o, -1\/8, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*5)\/(1025\/(-1640)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 521170539 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, n: 6}. Give prob of picking 4 e.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/12 + 7*b**3\/6 - b**2\/2 - 3*b. Calculate the remainder when 25 is divided by r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 35.392, 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.4 - -1.7636094.\nAnswer: 38.1636094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 0*b - 185*b**2 - b - 9*b - 5. Let j be c(-7). What is j rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.0666m in kilometers?\nAnswer: 0.6350666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15 - 7*r**3 + 37*r - 37*r wrt r?\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5\/10 + 35*n**4\/8 + 79*n**3\/3 + 61*n**2 + 60*n - 3653. Suppose r(t) = 0. Calculate t.\nAnswer: -30, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/90 and 143\/5180?\nAnswer: 46620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 118879.982 rounded to the nearest one hundred?\nAnswer: 118900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/4 (c) -5 (d) 1\/3446 (e) 0.507\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 18*q + 10. Calculate the remainder when 596 is divided by p(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8168238?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 64547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(176) + -1 - sqrt(176)) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l = -84*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01920431 to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 7*f - 14. Let v be y(-9). Suppose v = 4*x, -3*l - 3*x - 2*x = -23. Solve -3*b = 3*m - b - l, -m = 2*b + 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381003 to the power of 1\/2, to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000701967051 to 7 dps.\nAnswer: 0.0000702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -40*g**5\/7 - 914*g**4\/7 + 41578*g**3\/7 - 46696*g**2\/7 + 6072*g\/7 = 0.\nAnswer: -46, 0, 3\/20, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1413 + 116. Let j = t - 1021. Is 39 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522550.\nAnswer: 2, 5, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j**3 + 14*j**2 + 11*j + 511. Let t(f) = 9*f**3 - 9*f**2 - 7*f - 342. Calculate -5*i(b) - 8*t(b).\nAnswer: -2*b**3 + 2*b**2 + b + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -629*o - 5541. Give k(-9).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 10*b + 15 = 0. Let h be 4\/((-28)\/b) - 6\/21. What is the third biggest value in -1\/6, 2, h, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -6*f + 6. Let o(l) = -25*l**2 - 100*l + 6. Let d be o(-4). Solve -f*m + d = -0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Let z = -1.967 + -0.033. Let q = z + k. Sort -3\/7, q, -0.3.\nAnswer: q, -3\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t - 100 = -5*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -637*u + 328*u + 315*u - 5*u**2 + 254 wrt u?\nAnswer: -10*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23368255325 + 420?\nAnswer: 23368255745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g + 5. Let a(t) = 1. Let b(x) = 5*a(x) - h(x). Let d(i) = -2*i**2. Determine d(b(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13*f + 17. Let q(n) = 27*n + 35. Suppose -5 = -s - 0*s. Let m(b) = s*w(b) - 2*q(b). Let o(r) = 5*r + 7. What is 6*m(h) - 13*o(h)?\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*o + 106, -2*o + 3*x - 35 - 7 = 0. Is o <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(10\/7)\/w)**(-1\/5)\/((w\/(w*w**35*w))\/(w*w\/(w*w\/w**(-23))*w)) assuming w is positive.\nAnswer: w**(487\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 9. Let u be 6*-4*(-2)\/24. Suppose -2*o = w, -10 = -d + u*o + 2*o. Solve d*m - 20 = -2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a year in months?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2568*u**2 + 5792*u**2 + 691*u**2.\nAnswer: 9051*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560686771?\nAnswer: 560686771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 22. Let h be w(-8). Let s(k) = 7*k**3 + 6*k**2 - 5*k - 6. Let c(b) = 20*b**3 + 17*b**2 - 14*b - 17. Calculate h*c(u) + 17*s(u).\nAnswer: -u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 22 - 5)*(-5*l + 2*l + 2*l) + 1 + 2 - 2 + 7*l - 3*l + 0*l + 2*l + (2 - 2 - 2*l)*(-2 + 1 + 0) + 0 + 0 + l in the form b*l + x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.17*-525172\nAnswer: 89279.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -6) + 5 + -8. Let a be (0*2\/4)\/1. Suppose a = 2*v + 5*u + 16, 3*v - 5*u - 22 = -u. Solve -t*n - v*w = -0*w + 11, 2*n + 4 = 2*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:38 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1268.00042115 + 1268. Round z to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 4*j**2 + 3*j**2 - 2*j**2 + 4 - 4 + (-2*j + 4*j - j)*(2*j - 1 + 1) + j**2 + 2*j**2 - 2*j**2)*(-644 - 527 - 618 + 636).\nAnswer: -3459*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 37\/5 of a centimeter?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 58*a + 56*a + 84 = 0, 0 = -6*r - 4*a + 42 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 42505?\nAnswer: 42522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2133 = -5*h + 3*m + 160, 0 = 5*h + 5*m - 2325. Put 1, h, -2 in descending order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11)\/(f\/(f\/(f*(f\/(f\/(f\/(f*f**(4\/9)*f))*f))\/f)*f)))**30*f**9*f\/f**(-6\/5)*(f**0)**(-24\/7) assuming f is positive.\nAnswer: f**(17998\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.6791 * 222\nAnswer: 150.7602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05242 plus 6501987?\nAnswer: 6501986.94758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + y**2 + 3*y**2 + (2*y + 2 - 2)*(-y - 2*y + 5*y) + (-6 - 9 - 6)*(18*y**2 + 15*y**2 - 9*y**2).\nAnswer: -496*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 - 1 - 6) + 94. Suppose y + 4*y + a - 115 = 0, y - 4*a = 23. Calculate the highest common factor of s and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 7*d**3 - 6*d**2 - 12*d + 6. Let g(u) = u**3 - u. Let y(c) = f(c) - 6*g(c). Give y(6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -77954122*g**4 + 53969533*g.\nAnswer: -935449464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 401000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 27*n + 626. Calculate the remainder when 418 is divided by l(-20).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-1 + (1 - -51)). Let v be l\/9 + (-2)\/(-3). Let q be 1 + (-2 - v) - 1. Solve -q*x + 3 = -6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163145 divided by -32629.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j - 7. Let d(k) = -12*k - 22. Let b(r) = -205*r - 375. Let i(l) = 2*b(l) - 35*d(l). Let x(c) = 3*i(c) + 8*o(c). Calculate x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**2 + 3*q - 4*q**2 + 4*q**2 - 3*q**2 wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14294 is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2437549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, d: 6, p: 2, z: 1, t: 5}. Give prob of picking 2 t and 2 d.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6482*n**4 - 164*n**2 - 90173*n - 27 wrt n.\nAnswer: 77784*n**2 - 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*a = 174*a + 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0892194 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s + 5. Let v be q(-3). Let b = -21 - v. Let a(r) = 3 - 2*r + 4*r - 3*r. Calculate a(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 9}. Give prob of sequence wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c + 3. Give a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-9) - (-646)\/6. Suppose -s = -3*t + 82. Calculate the remainder when t is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 214 = -4*b, 3*c - c = 5*b - 138. Let p = c + 79. Suppose p*k - 14 = -t, 5*t + 5*k - 16 - 54 = 0. What is the remainder when 39 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f**2*m*t**2 - f**2*m*t + 2*f**2*t**2 + 4*f**2 + f*t - 5*m*t**2 + 6*t wrt t.\nAnswer: 8*f**2*m + 4*f**2 - 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3*(1 + 14). Let b = -42 + 40. Sort o, b, -1 in descending order.\nAnswer: o, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(3\/14)\/s)**(-2\/23))**(-43))**20)**(4\/9) assuming s is positive.\nAnswer: s**(-37840\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 45. Calculate the highest common divisor of w and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (68\/8)\/(5\/10). Let d = 19 + b. Solve -5*v - o + 18 = 0, 4*o + 9 = -5*v + d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -218.81555 - 0.61\nAnswer: -219.42555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -1ca09?\nAnswer: 1ca05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 74, -13, -1\/2 in decreasing order.\nAnswer: 74, -1\/2, -3\/4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4363? (a) 1 (b) 1\/5 (c) -0.5 (d) 8 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10212 and -935236.\nAnswer: -925024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 0 + -6 + (1 - -9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23023557659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1110354 and -109\/12213894.\nAnswer: 12213894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by 21.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -383 - -347 - (-3 - -7 - 48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 160?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of l**6\/360 - 2*l**5\/15 + 97*l**4\/12 - 228*l**2. Let h(v) be the second derivative of o(v). Give h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-3))\/(2\/(-6)). Let q(k) = -k**2 - 2*k + 3. Let t be q(3). Let z be 20\/8*t\/(-15). Solve z*r - 5*r = 3*l - 9, i*r = -4*l + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a9bd (base 16) to base 7\nAnswer: -632516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 10*r + 7*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18237933 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2849 and 154154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -168, -315, -462, -609?\n\"Answer: -147*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 3*s + l, -l - 13 = -5*s. Suppose -3 = -s*z + 5. Let p be -3*-1*(0 + 1). Solve z = p*y - y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8035104.\nAnswer: 2, 3, 7, 11, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 34. What is the tens digit of 10\/(4\/h - 1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 170 + -178. Is d != 5\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41699 + -41698.48506. Round j to two dps.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:38 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a century?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2253 - -15100?\nAnswer: 12403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 + -0.16. Let y = i + 0.01. Which is the nearest to 0.1? (a) 0.4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*g - 2, g - 1438*y + 717*y = -725*y - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/6 - 25\/10. Suppose -y*u + 1012 = 4*h, -887 = -3*h + 5*u - 152. What is the highest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d + 47. Give g(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 153360.\nAnswer: 47\/76680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 - 12. Let j(h) = 2*h**2. Calculate j(g(b)).\nAnswer: 8*b**4 + 96*b**2 + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 127?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 46. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -1 + 1 + sqrt(245) + (sqrt(495)*-1)\/sqrt(11))*1)**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from ppappapappappppppp.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 89*g**2 + 1 + 2*g**3 - 208*g**2 + 117*g**2 - 311*g**4)*(-1 + 1 + 1)*(-3 + 0 + 2) as f*g + m + w*g**4 + k*g**3 + i*g**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3749354.\nAnswer: 2, 7, 267811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1159833559\/20 + -57976626. Let l = 15046 - m. What is the common denominator of 2 + (-1 - 61\/4) and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38960623.\nAnswer: 13, 43, 69697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12*t**2 - 11*t - 12. Let i(q) be the third derivative of -q**5\/60 + q**4\/24 + q**3\/6 - 3*q**2. What is 22*i(g) + 2*x(g)?\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 2, p: 1, h: 1, k: 2}. What is prob of sequence lk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6*1\/(-2)*(5 + -14). Let u(d) = -7*d - 168. What is the remainder when u(k) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 0, -4*a + 0*a - 8 = 4*w. Suppose k - 14 = -a. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 1945.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -f**5\/60 - 7*f**4\/36 + 14*f**3\/9 - 10*f**2\/3 + 79*f. Let a(r) = 0. Calculate r.\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16173 is divided by 8058?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.446 - 0.446. Put -0.1, 6, b, 4 in increasing order.\nAnswer: -0.1, b, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 300*r - 649*r + 0 - 5 + 345*r.\nAnswer: -4*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283 is divided by 77?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -121614 (base 8) in base 2?\nAnswer: -1010001110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(3) + ((sqrt(300)*-2 - sqrt(300)) + sqrt(300))**2)*5.\nAnswer: 30*sqrt(3) + 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -19. Let c = m - -19. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 110794, 221588, 332382, 443176?\n\"Answer: 110794*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + v + 37, -3*v + 7*v + 4 = 0. Let z = w - -19. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*j - 1485 = 1475. Solve -6*o + 3*o - 12 = h, 5*o + j = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(52)\/sqrt(2)*4 + sqrt(26)))\/(sqrt(2) + (sqrt(18) + sqrt(18)*2 - sqrt(18)) + sqrt(2) + 1*(sqrt(18) - sqrt(2))).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 56\/(-24). Suppose d - 5*j = -25, 17 = -5*d + g*j + 7. Suppose d = 5*b - 2*b - 21. Is 4 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 79*m**2 + 7*m - 5. Let k be a(1). Let n be (-4)\/(-9) + 3\/(k\/(-66)). Sort 3, 2, 18, n.\nAnswer: n, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-5) + -2)*85. Suppose -16*v + 1260 = -61*v. Let t = u + v. Solve o - a - t = -3*a, -o = -a + 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69113 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uee when three letters picked without replacement from epdeeudeedudwepd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 + 9*x**2 + 7. Let l = -17 + 13. Let r(g) = 3 + 10*g**2 - 5*g**2 + 1 + 2*g**3. Give l*v(h) + 7*r(h).\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 36 = -6*y, -2*y - 5*c + 25 = 37 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d - 9*d + 1980. What is the common denominator of 81\/10 and 365\/d*1*-3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 9*l**2 + 2*l + 4. Let a be m(-9). What is the tens digit of 3\/(-7) + (-398)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one sixteenth of a minute?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 35897*r**2 + 31*r - 10. Let s be n(10). What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 49 - 43 = 3*t, 2*x = -12. Solve -3*u = z + 3, 5*u + t = 2*u - 4*z for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3799241, -3799131, -3798947, -3798689?\nAnswer: -3798357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (60\/9)\/((-1070)\/(-1284)). Solve -14*o = -22*o - a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.155 - 106369826.1624.\nAnswer: -106369825.0074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*u + 27*u + 2437 = 2*g, g - u = 1217. Does 9 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqt when three letters picked without replacement from {z: 3, s: 3, t: 1, e: 3, x: 2, q: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-6*(sqrt(162) - 5*(sqrt(162) + -1 + sqrt(162) + sqrt(162) - sqrt(162)) - (-3 + sqrt(162)*3 - sqrt(162))))**2.\nAnswer: -57024*sqrt(2) + 707976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfzzhvlbhzhhzv. What is prob of picking 2 h, 1 b, and 1 z?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*18 + 12 + (218 - -2)\/(-11)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 27*s**2 + 47*s - 75.\nAnswer: (s - 1)*(s + 3)*(s + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744620332 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.048 and -0.314?\nAnswer: 0.266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -4*g + 128. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - -2) + 58*(-3)\/(-6) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - 2 + 4 + 3*j**3)*(-2*j + 4*j + 6*j) + j**4 - j**4 + 3*j**4 + (2*j - 2*j + 2*j**3)*(j - j - 2*j) + 2*j**4 - j**4 + j**4.\nAnswer: 17*j**4 + 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*g**2 - 27*g*q + 5251*g + 9526762*q wrt g.\nAnswer: 28*g - 27*q + 5251","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 366\/13 - 28. Let m = -1189\/2191 - 9\/313. Which is the closest to -1? (a) u (b) -11 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -1\/30*h**5 + 1\/540*h**6 - 7 + 0*h + 1\/4*h**4 - 1\/3*h**3 + 0*h**2. Let r(z) be the third derivative of l(z). Factor r(y).\nAnswer: 2*(y - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246806251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 - 0.9. Let k be (3 - (6 - 2))\/(1 + -2). Let b be (-2)\/(-7)*168\/(-72). What is the closest to k in b, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10544528 is divided by 958586?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:49 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7657 - -7659. Solve 0 = -x*g - 5*g + 28 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.681 - 5.881. Sort 3, b, -2, -2\/49 in ascending order.\nAnswer: -2, b, -2\/49, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24717 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 629 a factor of 2734892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y. Let d(s) = -16*s**2 - 3. Let i(w) = -143*w**2 - 26. Let k(j) = 26*d(j) - 3*i(j). What is k(c(g))?\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 2481536?\nAnswer: -2481539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33382156 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 801895 divided by 34865\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93384, 186774, 280172, 373578, 466992?\nAnswer: 560414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 7*p - 1282 = -2*d, 4*p = -2*d + 5146. List the prime factors of p.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 33571516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(9)\/sqrt(3))*2)**2*3 + sqrt(108)*3 + (sqrt(27)*5)**2.\nAnswer: -102*sqrt(3) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 27*i + 97. What is the smallest common multiple of n(30) and 123?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/12944 and 40.\nAnswer: 12944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -20*o**2 + 8*o + 522. Let j be x(-54). What is j rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*g**3 - g**2 + 4 + 2*g.\nAnswer: -(g - 2)*(g + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let v(p) be the second derivative of 0 - 31*p + 21\/2*p**3 + 0*p**2. Determine q(v(z)).\nAnswer: 7938*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 o when two letters picked without replacement from zqnzogqcnqzzzzg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4264, -4266, -4270, -4276?\n\"Answer: -g**2 + g - 4264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:09 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10113?\nAnswer: 3, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s. Let x = s + 4. Find the second derivative of 2*w - 5*w + 3*w**4 - 2*w**x wrt w.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -7*x. Suppose -4*d - 31 + 35 = 0. Put 2, d, x in decreasing order.\nAnswer: 2, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = o - 25, 3*h + 0*o = 3*o - 3. Sort h, 3, 2 in descending order.\nAnswer: h, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -284206 - -507291. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8)*(312\/3)\/13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**5 + n**3 + n**2 - 1. Let y(v) = -10*v**4 + 2 + 0 - 4 - 7*v**2 + 1 - 15*v**3 - 3*v**5. Let k(o) = -a(o) + y(o). Solve k(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0468 and -1914217.64?\nAnswer: 1914217.5932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167757?\nAnswer: 3, 199, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404701091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -8722996\nAnswer: -5\/8722996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ywwjwjrgjylw. Give prob of sequence ryyg.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18700?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + -2.1. Let m = v - -2.3. Suppose 4*o + f - 3 = 2, -5 = -o - 4*f. Which is the closest to -0.1? (a) m (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -659772*r**3 + 980793*r**2 wrt r.\nAnswer: -3958632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 784615 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**5 - 11*q**4 - 16*q**3 + 11*q**2. Let x(b) = -b**5 - 2*b**4 - 3*b**3 + 2*b**2. Let a = 4 - 6. Let t(p) = a*z(p) + 11*x(p). Factor t(l).\nAnswer: l**3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:20 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 31382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 148892497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 + 5*h**2 - h - 24. Let c(p) = -p**3 + 10*p - 8. Let d be c(3). What is the tens digit of k(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(68\/(-54)))\/((-180)\/1920). Which is greater: -7 or r?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 - (7275\/606 + -8). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -384, -381, -394, -429, -492, -589, -726, -909?\n\"Answer: -k**3 - 2*k**2 + 16*k - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 25*n - 17. Let j be o(24). Suppose j*w = 1261 - 127. Calculate the highest common factor of w and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23244?\nAnswer: 2, 3, 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -56, -57, -58, -59?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z - 138. Let c be u(-22). Suppose -202 + 10 = -c*y. Solve 12 = -3*l - i, -3*l + 0*l + 5*i - y = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25574 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-z + z - 5*z)*(0 - 1 + 2) + (-2 - 1 + 1)*(3*z + 0*z - 5*z))*(-2 - 2 - 1) to the form t + a*z and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, t: 1, x: 1}. What is prob of picking 1 t and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 58. Which is greater: b or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.19 (c) -57 (d) -2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 7*o + 4. Let f be ((-14)\/(-4))\/(23\/(-46)). Give p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/20 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3620*j = 3743*j. Solve j = 141*f - 95*f - 46 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22\/((-4)\/(-2)))\/((-197)\/(12017\/122))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 8*c**2 + 4*c**2 + 105294*c**3 + c**2.\nAnswer: 105294*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 4) to base 10\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1877312 smaller than -1877317?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of g**4\/3 - g**3\/6 - 5*g**2\/2 + g. Suppose 85*a = 74*a + 352. Calculate the remainder when i(-4) is divided by a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1298379 * 8.\nAnswer: 1.0387032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 - 251 - (-14 + 0) - (-3 + 21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (52\/(-39))\/((-6)\/9). Solve -5*k - 14 = 4*b, -5*b + 0*k + a*k + 32 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1163*g**2*w**2 - 6*g**2 + 5573*g*w**2 + 5*g wrt g?\nAnswer: -2326*w**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 225*j + 1. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-107)\/2)\/((-14)\/4 - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*t + 4, 3*a + 6 - 4 = 4*t. Let h be (10\/4)\/(2\/4). Let c = 7 - 11. Sort h, c, a in descending order.\nAnswer: h, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69560 and 16920?\nAnswer: 626040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 9*f**2 - f - 7. Let a be c(-9). Suppose 5*d + k = 49, -a*d + 16 = 5*k - 22. Let u(r) = -r - 7*r + r**3 + d*r + 15*r**3. Give u(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*c + 4 + 2\/3*c**2.\nAnswer: 2*(c - 3)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + sqrt(80) - sqrt(1375)\/sqrt(11)) + -5)*3)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1438*n = 1425*n + 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.028062747 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:41 PM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -3. Suppose -3 = 2*j - 5. Let b(q) = 5*q**3 - q**2 + 1. Let w be b(j). Solve r*k = 5*k + w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 732 - 741 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -12. Let d be w\/(3\/(-2)) - -1. Suppose -b = -d - 22. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 1 (b) -4 (c) 2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 15. Let s(y) = 2*y**2 - 6*y - 4. Let u(x) = 3*x**2 - 7*x - 5. Let m be 30\/9*504\/(-420). Give c*s(r) + m*u(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssns when four letters picked without replacement from {c: 3, n: 1, s: 3}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 115*g - 6404. Determine m(56).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/((-32)\/12 + 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 12*b - 2. Let i be z(-14). Let m be 3\/9 - (-211)\/(-3). Let c be i\/(-14) + 10\/m. Solve 3 = x - c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 539501269 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/10 and 89\/646.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*c + 7 = -2*c, -20 = -4*c. Let v = p - -5. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q**2 + 8. Let p(s) = -2*s**2 - 16*s - 14. Let l be p(-7). Let r be n(l). Sort r, 1, -1 in increasing order.\nAnswer: -1, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77751 = 6*f - 327531. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/144*4416\/(-50416)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3288*u - 3291*u + 6 = 9*d - 4*d - 56, -d = -u + 34 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-7)*p))\/((p\/p**(-4\/3))\/p)*((p*p*(p*(p**(6\/7)\/p)\/p)\/p)\/p)\/p**(-6))**(-12\/19) assuming p is positive.\nAnswer: p**(-968\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193518*v**4 + 1532*v**2 - 57 wrt v.\nAnswer: 4644432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/26910 and -37\/2769?\nAnswer: 1910610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7929355*t**4 + 18*t**2 + 72696.\nAnswer: -190304520*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32226*b - 234845 with respect to b.\nAnswer: 32226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104243.\nAnswer: 3, 7, 52583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 8*s**2 + 7*s + 3. Let n be a(-7). Let 2 + 4*m - 3*m + 0 + m - 2*m**n - 2*m**2 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -5641 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -d - 3*l - l, -d - 20 = 5*l. Suppose 4*u = 2*u + 10, d = 2*z + 4*u - 86. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -165, -7, 20 in decreasing order.\nAnswer: 20, 3, -7, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24401591\/5 or -4880318?\nAnswer: -24401591\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30*(58\/(-9))\/(2\/(-60)). Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from vyyyaavnvvnynaun.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 814*i**3 - 181*i**2 + 690*i + 17. List the prime factors of u(4).\nAnswer: 51977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 2 - 2 + (2 - 2 - m**2)*(3*m - 2*m + 0*m) + 66*m**3 - 47*m**3 - 57*m**3.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 42 = -2*y, 3*y - 17 = -2*l - 2. Let s be (-1*(-180)\/54)\/((-10)\/(-36)). Calculate the greatest common factor of s and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 22*s + 92, 5*s - 28 = q - 7*s + 26 - 18 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2b9 (base 16) to base 14\nAnswer: 37b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 66\/(-24))*-4 - 41 - 2.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3456605 and 127550?\nAnswer: 34566050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025000 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 1 + 3 - i**2 + 2 - 6*i. Let j be f(-7). Let h = -141\/5 + 972\/35. What is the smallest value in -1\/7, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 315*m**4 - 2334*m**3 - 52074682*m**2 wrt m?\nAnswer: 7560*m - 14004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s + 17. Let u(z) be the second derivative of z**3\/6 - 3*z**2\/2 - 7*z. Give 6*m(h) + 34*u(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -10*p**3\/3 + 6*p**2 + 33*p. Does 31 divide v(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11352 and 15.\nAnswer: 56760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(416)*-4)\/(-1*sqrt(32) + (sqrt(8)*-6 - sqrt(2))).\nAnswer: -64*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23784 divided by 11892?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -857*a + 208*a**2 - 860*a**2 - 819*a**2 wrt a?\nAnswer: -2942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92221.983s in weeks?\nAnswer: 0.1524834375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113*i**4 + 70*i**4 + 41*i**4 + 2*i**3 - 127 wrt i?\nAnswer: -8*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0913585 + 0.1.\nAnswer: 0.0086415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 1882*u**3 + 30*u + u**2 - 1879*u**3 in the form f*u**2 + y*u**3 + o + w*u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203768.4um in kilometers?\nAnswer: 0.0002037684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 931231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 213 and 181689?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -749 + 687.8. Let a = u - -61.7. Sort 1\/9, 7\/2, -1\/3, a.\nAnswer: -1\/3, 1\/9, a, 7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/8 - a**3 - 3*a**2 + a - 1. Let f(v) be the first derivative of y(v). Factor f(t).\nAnswer: -3*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (-5808)\/(-448))*(-16)\/6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/2*(3 + -17). Suppose -3*g - 5*h - 11 = a, 3*g - 4*h = 20. Suppose m - 27 = -g*m. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from ooopoiimopojiiiijio?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201 and 93331?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -412.6 times -0.1?\nAnswer: 41.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -219\/2. Suppose 2*z - o + 3*o = 0, 15 = -3*z + 2*o. Let u be z\/(-4)*(-56)\/(-147). Is u at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*y = -4113 - 1502 + 1280 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 + 12 - 200*z - 4*z**2 + 200*z.\nAnswer: -13*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -221, 5, -16 in decreasing order.\nAnswer: 5, -4, -16, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 490\/(-28)*(1 - (-22)\/(-24)) and 17\/174.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of m**4\/3 + m**3\/2 + 3*m**2. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 241589*j**3*q + 2*j**2*q + 94*j**2 - 35*j - 2*q + 1 wrt j?\nAnswer: 1449534*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2578 = z, m + 148 = -5*z + 674. Suppose -4*h + h = -m. Suppose 3*b + 28 = h. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77b89 - -4?\nAnswer: -77b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -574*u + 1330*u - 1370*u - 4 to y + c*u and give c.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169 + 196. Suppose -5*f + 3 = -4*n + 8, 4*f + 3*n - q = 0. Suppose 5*v = -7 + 22. Solve -f*i - 16 = -5*x, -v*i + 5*i = x + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 405909 is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.5 - 8.5. Let h = -17 - z. Which is the nearest to h? (a) 4 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 355*f**2 + 4. Let u(s) = -32307*s**2 - 363. Determine -363*p(g) - 4*u(g).\nAnswer: 363*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**6\/2 + 33*c**4\/2 + 343*c**2 - c - 305. Find the second derivative of n(y) wrt y.\nAnswer: -60*y**3 + 396*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*u - 10*u + 11*u)*(3 + 730*u + 2*u**2 - 739*u - 10) to the form n*u**3 + b + p*u + s*u**2 and give p.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -30*o**2 + 2*o + 4. Let b(h) = 4*h**2 + 2*h - 1. Give -2*b(q) + c(q).\nAnswer: -38*q**2 - 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/26 - (500\/260 + -2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -241126 less than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 15*t**2 + 53*t - 25. Calculate d(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.38142um in kilometers?\nAnswer: 0.00000008138142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32041 is divided by 1304?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 877.93 to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(176).\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2. Let l be 2612\/(7\/((-35)\/(-2))). Let w(y) = 3*y - 6530 + l. Give w(c(r)).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14881 is divided by 229.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*k + 398, k + 0*n = n + 138. Suppose 0 = 4*x - 114 - k. What is the highest common divisor of x and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6992 - 6991.99955272. What is w rounded to six dps?\nAnswer: 0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u**2 + 4*u + 4. Let p(g) be the first derivative of g**2\/2 - 2830. Determine -l(n) + 4*p(n).\nAnswer: 4*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 51302\nAnswer: -2\/25651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 3 - 3)*(5*u - 3*u + 5*u) to r*u + v and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 5*v - 9 = -20*v. Sort -2, 87, v, -3 in descending order.\nAnswer: 87, v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 532374*k**3 - 532351*k**3.\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13678 and 3079504.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -1. Let g(k) = k**2 - 6. Let s(p) = -g(p) + 6*x(p). Let d(m) be the second derivative of 1 + 0*m**2 + 0*m**3 + 7\/12*m**4 + 19*m. Give d(s(q)).\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 95*d**2 - 3*d**3 - 95*d**2.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -4*i + 5*u, -u + 33 = -5*i - 1. Let y = 7 + i. Is -14 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 37.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 5, -2, 1 in decreasing order.\nAnswer: 20, 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let l be y(2). Suppose -l*z + 20 = -0*z. Suppose 13 + 1 = s. Solve 0 = -z*t + 4*k + 7 + s, 4*t + k - 21 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i**2 - i + 2663. Calculate the remainder when q(0) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j + 7. Let z(n) = n + 2. Let u(o) = 2*x(o) - 9*z(o). What is the remainder when 4 is divided by u(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465300 by -1551.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -13*i. Let v(s) = -s - 1. Let q(x) = -2. Let b(o) = -q(o) + 2*v(o). Determine l(b(r)).\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/637886 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + (-1 + 2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, k: 3, f: 6, y: 3, z: 1}. What is prob of picking 1 z, 1 y, 1 f, and 1 k?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -4*q + 55*m + 175, 2*q - 6 = -m for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32800 and 72.\nAnswer: 295200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*d - 206*d + 77*d + 52*d + 50*d + 4.\nAnswer: 31*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-21)\/(-2)))\/(28\/(-1372)*-56)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i = 4*u - 14, 3*i = -2*u + 3. Suppose u*l = -5 - 7. Let q = 7 + -10. Put q, l, -2 in increasing order.\nAnswer: l, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*f - x, 6*f - 4*x = 2*f + 48. Suppose -35 = 5*c - 100. Suppose -n = -2*p + f, n - 5 = -3*p + c. Solve 0 = -4*l + 1 + n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271845219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 d, and 1 r when three letters picked without replacement from tyttdkttrryt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y + 78. Let f = 316 - 251. Calculate the greatest common divisor of f and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + -14 - -35) + -7 + -10?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -67, -43, -19?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*b**5\/8 - 129*b**4\/8 + 17613*b**3\/8 + 401061*b**2\/8 + 1200135*b\/4 + 162450 = 0. What is b?\nAnswer: -19, -10, -3\/5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 345284 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951592.4 grams to kilograms.\nAnswer: 951.5924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -1101011101010?\nAnswer: -1101011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 26\/7, -2065?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5\/3 - 1381*b**4 - 11372*b**3\/3 - 9298*b**2\/3 - 344*b + 1033\/3 = 0. Calculate b.\nAnswer: -1033, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 + 1.5. Let v = 1.23 - 0.03. Let n = v - b. What is the third biggest value in 1, 2\/17, n?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Let d be r(3). Suppose -5*q = -2*x - 4, 4*q - x - 17 = -d*x. Let y be (35\/14)\/(-1 + q\/4). Which is greater: -28\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 21 + -29 + 4 + (-3 - 1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 410.089 + -410. Let f = -60.842 - -61. Let j = f - o. Round j to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 + i**2 + i - 4. Let t be -2*2\/3*3\/2. Let z(g) = -g**3 + g**2 + g - 3. Let a(l) = t*x(l) + 3*z(l). Find c, given that a(c) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ac56 (base 14) to base 8.\nAnswer: 72254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000491583 rounded to seven dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12339 divided by -457?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 12 (b) -5\/2 (c) 0.3 (d) -4 (e) 2\/83\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 369179.9ml to litres.\nAnswer: 369.1799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3709533.49 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j. Let h(r) = 2*r**3 - r**2 + 18*r - 1. Determine -18*c(v) + 2*h(v).\nAnswer: 4*v**3 - 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -146.\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + -3004?\nAnswer: -2403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 2*u**2 - 1\/60*u**6 + 0 + 0*u - 1\/12*u**4 - 1\/15*u**5 + 0*u**3. Give h(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -20*o - 55 - 19 - 148 - 55. Does 14 divide x(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*z**4 + 17000*z**3 + 125088*z**2 wrt z.\nAnswer: 96*z + 102000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 6 + (3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4738e7 + 28?\nAnswer: -4738bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 7*f. Let w be g(-4). Let u be (-18)\/8 + w\/(-16). Let n(x) = x - 3. Give n(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1815452706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 9*r**2 - 5*r - 24. Let u be z(8). Let o(k) = u*k + 22 + k - 4*k - k. What is the remainder when 8 is divided by o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3822550 divided by -1?\nAnswer: 3822550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490*b - 3243 = 591*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-700)\/150)\/((-2)\/3) + (-34)\/(-1). Solve -h = -120*l - 401 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642*s + 351*s + 1959*s.\nAnswer: 1668*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 22. What is a(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 12*y + 23. Determine k(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 83?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v = s + 8, -32 = -4*v - 2*s. Suppose h + 3 = 2*h + 3*b, 2*h = b + 6. Find z, given that -28*z**2 + 3*z**3 + v*z**2 + 6*z + h*z**3 = 0.\nAnswer: 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2403 or -4?\nAnswer: 2403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 12*h**2 + 5*h - 14. Let q(u) = u**2 + u - 1. Let b(p) = -c(p) + 6*q(p). Calculate b(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -24. Suppose 0 = -l*f + 332 + 424. Factor -12*s**2 + f*s**3 + 16*s - 98*s**4 - 66*s**2 - 27*s**2 - 15*s**2.\nAnswer: -2*s*(s - 2)*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -44 + (-14 - -21)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5103) - (sqrt(5103)*1 - sqrt(5103)))\/(-2*sqrt(243)))\/((((sqrt(144) - -2*sqrt(144)) + sqrt(144))\/sqrt(8))\/(-6*sqrt(18)\/sqrt(3))).\nAnswer: 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 12:13 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 2, 5111, -3, 1 in increasing order.\nAnswer: -12, -3, 1, 2, 5111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2139540 and -187\/30420.\nAnswer: 6418620","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: 145 - (-126 - (48 + -204))\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14488 + -0.05512. Which is the smallest value? (a) k (b) 1 (c) 1\/10 (d) -50 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(455\/35))\/(15\/(-3)*-1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 13*t**2 - 14*t + 56. Determine m(-15).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1674064.2 - -1674065.32000236. Let g = p + -1.12. Round g to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/3 - 1886*x**2\/3 + 629*x = 0. Calculate x.\nAnswer: -1887, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x - 4*x - 2 = 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 415*c - 3212 = 4291 - 448. Let v(m) = m**2 - m - 1. Let g be v(-2). Let y(x) = 8*x + 2. Let s be y(g). Solve s = -5*r + c for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 7*g - 1. Suppose -2*y + 0*x = 4*x - 28, 3*y = 2*x + 18. Let o(q) = -2*q + 11. Let l be o(y). What is n(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -355 - -358. Differentiate 62 + 18*q**3 + 16*q**3 - 146 - 118*q**4 - 34*q**u with respect to q.\nAnswer: -472*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284387?\nAnswer: 284387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:15 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1587 - 623*y**2 - 1588 - 221*y**2 - 13498*y**2.\nAnswer: -14342*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1023)\/99)\/((-2)\/6). Solve -11 = -5*n - w for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -306, -309, -314, -321?\n\"Answer: -o**2 - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-40)\/(-72))\/(55\/(-66)))\/((-80)\/(-18))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 60098 - 60098 + 90*t**2.\nAnswer: 92*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/8595698 or 0?\nAnswer: 3\/8595698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -7*v + 1008. Suppose m + 3*i - 42 = 2*m, 0 = 2*m - 5*i + v. Let u = -31 - m. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, j: 4, o: 2}. What is prob of sequence ojp?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + 11*f**2 + 4*f**2)*(1 - 4 + 2 + (2 - 4 + 0)*(0 + 1 - 3) + 0 - 4 + 5 + 1 - 3 + 1)*(-6 + 0 - 8).\nAnswer: -756*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d**2 - 37*d - 70. Let n be r(-2). Find m, given that -92*m**2 + 101*m**2 + 84*m + 224 - n = 0.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1)\/((-32)\/(-64)). Solve -w*a + 4 = 4*y, -5*a - 1 = -3*y - 9*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 3320\/30071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*h = 104, 10*j + 5*h = 9*j + 1. Is (-270300)\/(-80) + j\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, -5\/4, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 8:51 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121395582*o**2*q**2 + 309*o**2*q - o*q**2 - 18*o*q - 1043*q wrt q.\nAnswer: 242791164*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87544749 is divided by 87544733?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247684188.\nAnswer: 2, 3, 109, 189361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/15)\/((-34)\/(-3145)). Suppose -4*m + 5 = 1, 4*q = m + 99. Let v = q + f. Which is the second smallest value? (a) -1 (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408938474 - -2699?\nAnswer: 408941173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*d + 16986 = -22694. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7042041\/20 + 352196. Let g = 375\/4 - u. Which is smaller: -1.55 or g?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7556 and 33.\nAnswer: -249348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1407*z - 5226*z + 5741 + 30592 = -150798 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = 1. Let j be (2\/1 - 67004) + h. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 711882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2597713742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6943*p + 255. Let l(j) = j - 64. Calculate 4*l(a) + v(a).\nAnswer: 6947*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*m = -5*k, 4 = -3*k - 5*m. Let s = -14 - k. Let r be -1 + (-2)\/s*-1. What is the second smallest value in -1\/3, 5, r?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2158*m - 10. Let q(h) = -h. Let z(l) = -4*q(l) + r(l). Let w be z(5). What is w rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 1. Let p be o(6). Put 4, 1, p in ascending order.\nAnswer: p, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -347441, -347444, -347447, -347450, -347453, -347456?\n\"Answer: -3*m - 347438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9096 and 25772.\nAnswer: 154632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 13*k - 232. Give i(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -6. Put n, 1, -3 in increasing order.\nAnswer: n, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 34 = -14. What is the lowest common multiple of q and 162?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176041 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -24, -21, 4 in ascending order.\nAnswer: -24, -21, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1111011110011101110 (base 2) to base 9\nAnswer: 852564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4, 0, -25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -942, -3788, -8524, -15144, -23642?\n\"Answer: u**3 - 951*u**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**5\/60 - 3*o**4\/8 + 11*o**3\/3 + 3*o**2 + 110*o + 1. Calculate l(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 14*u + 1490. Give k(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -7. Let t(i) = -4*i + 2*i + 8*i + 11. Let o be ((-6)\/54*-33)\/(1\/(-3)). Let a(y) = -y - 2. Calculate o*a(w) + z*t(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 1603 = -1576. Which is the nearest to 0.02? (a) -0.05 (b) -2\/9 (c) w (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 172. Let n = c - 23. What is the smallest common multiple of 6 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 6*k + 235. Let a = 52 + k. Solve -a*r - 2*t = 5, 3*r + 3*t = 2*t - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2254435376?\nAnswer: 2, 83, 239, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osr when three letters picked without replacement from sssorssrrssssssss?\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (217 + (-7956)\/36)*(0 + 14)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k + 242 - 249 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 6447225 - 71552775 = 0. What is p rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-2)*r)*r**(2\/3)*r)\/(r**(-3\/7)\/(r*r\/(r*r*r\/r**(-3)))) assuming r is positive.\nAnswer: r**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 150*u**2 - 461*u + 23. Give y(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 10901, 0, -4, 4, 5, -5 in increasing order.\nAnswer: -5, -4, 0, 4, 5, 10901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/((-125)\/15) + 1958\/5?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 2)\/(-2) - (5 + -7)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -833166.5 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 12) to base 13.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -f**9\/1512 + f**6\/180 - f**3\/3 + 3*f. Let t(o) be the second derivative of k(o). Find the third derivative of t(a) wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 9. Let d be t(-6). Suppose -8*c = -2*u - 13*c - 21, -4*c = 4*u + 12. Solve u*s = s - d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -251 + -3. Let y = a - -256. Factor 7\/2*j**y + 0 + 5\/2*j**3 + j.\nAnswer: j*(j + 1)*(5*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 295*c - 840.\nAnswer: -5*(c - 56)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6385 in -0.1, 7, 5, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i + 25. Calculate z(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 4*a + 7*a)*(12*a - 104 + 104) + (42*a + 36*a - 30*a + 23*a)*(3*a + a - 6*a).\nAnswer: -130*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-33)\/o))**(-31)\/(o\/o**(-8\/7))**(24\/5) assuming o is positive.\nAnswer: o**(-7667\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -18. Put f, -10, -3 in descending order.\nAnswer: f, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -264b + 114?\nAnswer: -2537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/170 + c**4\/51 + c**3\/17 + 6*c. Determine w so that f(w) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*w = -1751393 - 1537128 - 699313. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2515 divided by -644.\nAnswer: 2515\/644","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 37*y**2\/2 + 2*y - 116. Let w(q) = -2*q**2. Give w(z(u)).\nAnswer: -2738*u**2 - 296*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 391589697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70764.9950347 + -70765. Round p to 5 decimal places.\nAnswer: -0.00497","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 6 = 3*b. Suppose 126*q - 119*q - 1127 = 0. Suppose -d + 40 = 3*y, -65*y + q = 5*d - 63*y. Solve 5*j - 2*z - d = -6*z, -12 = -b*z for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*w + 2831 = -1171 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 12*p**2 - 8. Let d be n(12). Let z be 2\/d*(3 + 1). What are the prime factors of 7*(z + 25\/7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r - 16 = 0. Suppose r*m = 3*f + 13, -3*m - 2 = 5*f + 10. Suppose -s = m - 3. What is the third biggest value in s, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = s. Suppose s*j - 38 = -2*j. List the prime factors of j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -9*x + 32. Let u be k(4). Let t = -0.2 + 0.24. Let o = -0.36 - t. Which is the third biggest value? (a) u (b) o (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from nur?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 0*p - 6. Let g be (0 - 1) + (-155)\/(-31). Solve i = p*i + g for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -176, -339, -462, -503, -420, -171?\n\"Answer: 7*l**3 - 22*l**2 - 146*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.231013 millimeters to meters.\nAnswer: 0.006231013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 19354534?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4698 and 3321.\nAnswer: 192618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/((-1)\/(4476\/8)). Let u = x + 515. Suppose 10*y = 18*y - u. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/((-4)\/24)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 - 2*h**5 + 6*h**5 + (7*h**2 - 23 + 23)*(3*h**3 - 4*h**3 - h**3).\nAnswer: -13*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*d - 31*d - 1378 + 1378 in the form g*d + t and give g.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*g + 53, 4*g - 320 = -4*d - 72. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*v - 2*q + 3*q, 3*q = -5*v + 35. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40, 50, 76, 124, 200, 310, 460, 656?\n\"Answer: l**3 + 2*l**2 - 3*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 - 20*w**2 + 32*w**2 + 33*w**2.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 5.362082\nAnswer: 112.603722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7360 (b) -2 (c) -5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a47a (base 13) in base 8?\nAnswer: 144154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = 5*k, 2*q + 18 - 3 = -5*k. What is the closest to k in -3, -8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.01 (c) -0.08 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -1. Let k = -92 - -463\/5. Which is the nearest to 0? (a) k (b) q (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*r - 10, -w + 2*r - 22 = 4*w. Let z = 0.292 - -0.008. Which is the closest to 0? (a) w (b) -0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58196077?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -3*h**5\/20 - 7*h**4\/24 - 2*h**2. What is the second derivative of l(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122451142 divided by -326.\nAnswer: 375617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/10 - 24\/(-10). Differentiate -9*h**2 + 15 + h**f - 10*h**2 + 7 with respect to h.\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v**2 + 3*v. Let f = 1 + -1. Suppose f = -3*l - 2*l + 20. Let q be z(l). What is the highest common factor of q and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*(-8)\/4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/44 and 31\/619520.\nAnswer: 619520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105962*b**2 - 211332*b + 1184 = 0. Calculate b.\nAnswer: -2, 296\/52981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/3)\/((-5)\/(-6)). Find the third derivative of -4*o**2 + 2*o**2 - x*o**2 + 3*o**2 - 5*o**3 wrt o.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 2*a + 3*a, 2*l = -3*a - 4. Let h(k) = -5*k**2 - 3. Let z(w) = 6*w**2 - w + 4. Let j(u) = -4*h(u) - 3*z(u). Determine j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/4)\/((-1)\/(-20)). Suppose 0 = -c*x + 12*x + 8. Let w(a) = -a**2 - 3*a + 9. Let q be w(x). Solve -12 = -u - 2*s - 3, q*s - 17 = 3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 192 - -c?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3213909*u**5 - 2052745*u wrt u.\nAnswer: 64278180*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdw when three letters picked without replacement from dnpznwfzd?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 - 3 - 4 - 1 - 10*v. Let f(o) = o**3 - 6*o**2 - 8*o - 1. Let i be f(7). Is q(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**4 + 3*o**4 - 5*o**4 - 2*o**4 + 4 - 4 + (-o**2 - 4*o**2 + 3*o**2)*(-2*o**2 - 2*o + 2*o) + 3*o**4 + 3*o - 3*o.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (23\/(-4))\/((-91)\/28 - -3). Let w be (-2 + 19)*-1 - 2. Let u = f + w. Which is the second smallest value? (a) 1\/5 (b) 1.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -26*u**3 - 2*u**2 + u + 2. Let k be l(-1). Calculate the common denominator of (-5)\/k*(-410)\/(-44) and 17\/62.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/7*406\/464)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3200355 + 153?\nAnswer: -3200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 487569855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -k + 4*l - 1, 55 = 5*k - 5*l. Let c = k - 7. Suppose c*i = i. Is i greater than or equal to -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-1)*f)*f)**(-41)\/(f**1)**(1\/57))**(17\/3) assuming f is positive.\nAnswer: f**(-79475\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 4 = 4*c. Suppose 1 = -x - 1, -64 = -c*t + 2*x. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 3*y**2 - 4*y - 5. Let l(n) = 4*n**3 - 8*n**2 - 11*n - 14. Calculate -11*h(c) + 4*l(c).\nAnswer: 5*c**3 + c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1364984 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -12*c**2 + 1. Let v(h) = -h**2. Calculate x(v(z)).\nAnswer: -12*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 27*c - 45. Let h(l) = -3*l**2 - 77*l - 138. Let x(v) = 3*h(v) - 8*i(v). Determine s, given that x(s) = 0.\nAnswer: -9, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 403769170603.\nAnswer: 403769170602.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*o = -545, -2*o + 37 = -4*t + 2217. Calculate the highest common divisor of t and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65139.32 - 0.\nAnswer: 65139.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2118 + 4300. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 23 - (-4 + (4 - 8))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k. Let d(i) = 7*i**2 + 3*i. Let f(y) = y. Let j be f(-2). Let o be 2*(2 + j\/4). Let x be (30\/(-4))\/5*(-2)\/(-3). What is o*b(s) + x*d(s)?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*3*(-6)\/(-3). Let d(w) = w**2 + 2*w + 8. Let f be d(h). What is the common denominator of 935\/f + -1*2 and 27\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6557.4*0.5.\nAnswer: 3278.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*s**2 + 14*s**2 + 44*s**2 to m + v*s + u*s**2 and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/9 + 93184*w**2\/9 - 5122201*w\/9 + 3290558\/3 = 0. Calculate w.\nAnswer: 2, 53, 93129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3449\/10 + 699\/2. What is the second biggest value in 1\/6, -3, 2\/13, x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/14 (b) 0.19 (c) -3\/31 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a century?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1 + 5*1. Suppose 0*w - 2 = 5*w - 2*n, -3*n = -3. Suppose w = -i*q + 20 + 16. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 8*f + 65. Suppose 0 = -3*s - 15, -3*y + 2*s - 19 = s. Let q be a(y). Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.8 and 3662487002.\nAnswer: 3662487004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30931, -30672, -30437, -30226?\n\"Answer: -12*g**2 + 295*g - 31214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 2317?\nAnswer: 4634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 355537724 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. Find the third derivative of -9*z**3 - 5*z**2 + 0 + 8*z**n + 0 wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8784 greater than or equal to 367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, z: 4, g: 2, u: 2, y: 7}. Give prob of picking 2 y, 1 g, and 1 p.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 4258718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) - (-130)\/14. What is the greatest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2 - 37*r - 322. Let z be j(-8). Let y = -195 + z. Calculate the lowest common multiple of y and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 624 + 675. Let y = -711 + l. Suppose -y = t - 8*t. Calculate the greatest common factor of t and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124430570.\nAnswer: 2, 5, 11, 239, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 2817\/342)\/((-6)\/(-4))\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 3353*x - 10062*x + 3352*x + 3335*x - 43 as n*x + q*x**3 + t*x**2 + i and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*(-4)\/(-16)*-58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**2 - n + 1. Let b be h(1). Let l be 4\/2 + -5 + 2. Let v = l + b. What is the lowest common multiple of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 21*s**3 - 4*s + 4. Let d(m) = -41*m**3 + 8*m - 7. Determine 7*c(i) + 4*d(i).\nAnswer: -17*i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 + 5*w - 5*w + (-4 + 0 + 5)*(3*w**2 - 7*w**2 + 2*w**2) + 3*w**2 + 3*w**2 - 5*w**2 + 0 + 0 + 7*w**2 to a + d*w + c*w**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/7)*y*y*y**(1\/4))**33 assuming y is positive.\nAnswer: y**(2739\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 515 divided by 103\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i - 2*i. Suppose 4*r + 4 - 41 = -5*q, -5*q - 5*r = -40. Solve q*a = a - i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c**(-7)*c**(-5)\/c*(c*(c*(c\/((((c\/c**5*c)\/c)\/c)\/c)*c*c*c)\/c)\/c)\/c)\/((c*(c\/(c*c**4\/c))\/c)\/(c**15\/c*c))**45 assuming c is positive.\nAnswer: c**820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.32 - 601066.18.\nAnswer: -601028.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g**2 - 11*g + 13. Let o(k) = -8*k**2 - 5*k + 6. Let y(x) = 6*b(x) - 13*o(x). What is y(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/30 (b) 1087 (c) 2668\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/2*(21\/(-2))\/21\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 4490156*b + 4490154.\nAnswer: 2*(b - 2245077)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-8)*(-152)\/(-3) + (15 + 21 - 31).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 + a**4 + 52523*a**3 + 32*a**2 + 6543?\nAnswer: 120*a**3 + 24*a + 315138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = -r + 4*z, -5*r - z - 236 = 252. Let u(w) = 18*w + 4. Let d be u(6). Let g = d - r. Is 35 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439.67664 + -0.5.\nAnswer: -440.17664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 97*h**2 - 19106*h - 58787. Give r(200).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 5:36 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -1 (c) -1\/2 (d) -44.67 (e) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 185982, 185984, 185986?\n\"Answer: 2*n + 185980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 - -0.5. Let g = -0.028 + 2.728. Let u = g - 2.7. What is the nearest to u in -2\/7, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**(-39)\/v)*v*v\/v**6*(v**11\/v)\/(v\/(v\/v**(28\/9))))**(-1\/15) assuming v is positive.\nAnswer: v**(-404\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, -1\/3, -45243, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s - 20 = 0. Let h(c) = -16*c - 1. Is h(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 731*l**4 - 929*l**3 + 758*l**4 + 300*l**3 - 1486*l**4 - 278*l + 7 wrt l?\nAnswer: 36*l**2 - 3774*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555185 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttzzktzzzztzz. Give prob of picking 1 t and 2 k.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.40411494721 and -302.7.\nAnswer: -303.10411494721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, -0.4, 0.01, -0.32?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04583 rounded to 3 decimal places?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -80*l + 2402. What is r(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79416950?\nAnswer: 2, 5, 59, 26921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/3*2871\/609 + 7\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42.05009 centuries?\nAnswer: 420.5009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c + 67. Let g be r(10). Find the common denominator of -47\/29 and (14\/g)\/(48\/(-72)).\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 190*l**2 - 961*l - 72595. Determine j(-94).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/19)\/o**(2\/63))\/(o\/((o\/((o**(1\/6)*o)\/o))\/o)*o*o*o**(-2\/11)) assuming o is positive.\nAnswer: o**(-84983\/26334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 119 = -8*p, -4*d - 10*p = -12*p + 87 - 51 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 6*o**2 - o. Calculate the remainder when p(-4) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**2*t**2 + 795*l*t + 2*t**2 - 715*t wrt l.\nAnswer: -2*l*t**2 + 795*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225090 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*sqrt(1008)*2*-6*-3*-6)**2.\nAnswer: 6772211712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.41337 + 0.04337. Let g = 11\/16 + -119\/80. Which is the third biggest value? (a) n (b) 3 (c) g (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3*r**2 + 33*r + 90 = 0.\nAnswer: -6, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2))\/(sqrt(8)\/sqrt(16))*5.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2521481267 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 1400 = -8177. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4924, -19063, -42418, -74995, -116800, -167839, -228118, -297643?\nAnswer: -376420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/74197 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -20 + 8 + 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 3*b)*(160*b + 115*b + 86*b)*(-1 + 2*b + 1).\nAnswer: -722*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*d**6 + 612946*d**3 - 2725*d**2 + 31*d - 4 wrt d?\nAnswer: 5160*d**3 + 3677676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (18 + 504\/(-27))\/(2\/(-15)). Solve -3*a + 3*x = -12, q*x + 20 = 5*a - 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 345*b*v + 1983*b + 2*v wrt v?\nAnswer: 345*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*q**3 + 59*q**3 + 62*q**3 - 1492*q**2 - 2*q.\nAnswer: -2*q**3 - 1492*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3176, 532, 4242, 7954, 11668, 15384, 19102?\nAnswer: 22822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15533432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/52)\/(118\/354). Which is the biggest value? (a) f (b) -4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/14 - (-65)\/(-70))*(-3 + 5). Let s = 2 - 1.7. What is the second biggest value in -0.3, -3, c, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, b: 5}. Give prob of sequence bbb.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/43, -9, 2\/3?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15143081 and 4016.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 7.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*i - 2*j, 0 = 4*i - 2*j - 2*j - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**7\/420 + p**4\/4 + 3*p. Let o(i) be the third derivative of h(i). Let b(s) = s. Determine b(o(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of ((-6)\/(-27) - 284\/(-18))\/((-17)\/(-1904))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*d + 464 = 386*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 758 divided by 218.\nAnswer: 379\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1307, 5217, 11733, 20855, 32583, 46917?\n\"Answer: 1303*x**2 + x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7594 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -4. Suppose -t*u = -0*u - 28. Calculate the highest common factor of 28 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4932*-10.\nAnswer: -49320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd7 + 1?\nAnswer: -2bd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022639789.\nAnswer: 29, 647, 54503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/123 and 49\/164?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 4*x - 20, 21*f - 16*f + 3*x = -24 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 97?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 72219812?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/(((f**2\/f)\/f)\/f))\/(f**(2\/7)\/f**(1\/3)) assuming f is positive.\nAnswer: f**(131\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3\/2, -13\/2, 2, -2\/13 in increasing order.\nAnswer: -13\/2, -2\/13, 0.1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o + 8. Let w(f) = 3*f + 3*f + 1 - 7*f. Let c(u) = -12*w(u) + 2*z(u). What is c(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11109913*s - 70291396 wrt s.\nAnswer: -11109913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51930657 to the power of 1\/2, to the nearest integer?\nAnswer: 7206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1629*((-2)\/6 + 0). Suppose -5*i - 4*a + z = 0, -12 = 2*a + 2*a. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 30*j**2 + 33*j - 114. Let p be u(29). Solve 1125\/4*m**5 + 1425\/4*m**4 + 5\/4 - 75\/2*m**p + 85\/2*m**3 - 15\/4*m = 0 for m.\nAnswer: -1, -1\/3, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1662*f - 5081. Is a(-97) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*t - 358*t + 973*t - 105*t.\nAnswer: 419*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158263403 to the nearest integer?\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5729387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 227632*r + 227634.\nAnswer: -2*(r - 113817)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -184.\nAnswer: 3\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5084 divided by 124.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - m**2 + 2 + 1 - 3 + 3 - 5. Let p(k) = -k**2 - 18*k - 12. Let y be p(-17). Let q(a) = -a**2 + 2*a - 3. Give y*g(i) - 4*q(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 2\/6*((-2)\/7)\/((-1080)\/(-2835))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 15*x + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 8999 + 7562 = 15633 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -198342 + 366475. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 - 3*x**2 - 3*x + 11. Let r(s) = -s**3 + 2*s**2 + 2*s - 10. Let o(y) = -2*n(y) - 3*r(y). Differentiate o(i) wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33.2 - -33.20298. What is c rounded to four dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 0.396?\nAnswer: 1.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/1 + -2 + -9. Let n = -6 - z. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3389279 by 53.\nAnswer: 3389279\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1222*z - 44602 = -655*z + 59425 + 40502 for z.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*0.987\nAnswer: 0.04935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*a**5 - 8*a**2 + 184 - 184 - 8*a**5 wrt a?\nAnswer: 1920*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2842 - 8567 + 2573 + 2*k + 2813.\nAnswer: 2*k - 339","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppttttkxpxtttxtxpp. Give prob of picking 4 p.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 163 + -126. Let g(l) = l**3 - 8*l**2 + 7*l + 1. Let m be g(7). Let q(y) = 70*y**3 + 2*y**2 - 2*y + 1. Calculate the remainder when q(m) is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.7 + 21.9. Let o = h + 0.8. Let m = o + 26. What is the third smallest value in m, -5, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x + 71 - 23 - 48.\nAnswer: 17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) -8 (c) -5\/3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 34*o**2. Let i(x) = 9*x - 6. Let h(k) = -2*k - 1. Let d(p) = -11*p + 14. Let a(b) = d(b) + 3*h(b). Let q(m) = -6*a(m) - 11*i(m). Give q(v(u)).\nAnswer: 102*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.572, 10 in decreasing order.\nAnswer: 10, 0.1, -0.572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 6432 and -116.259506.\nAnswer: 6315.740494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 + -60. Let p(b) = 4*b**2 - b - 1. Let k be p(-1). Suppose -11 = k*n - q. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + a + 82 - 78, f - 22 = -4*f - 3*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) + (-39)\/(-6). Suppose 2*t + 13 = 23. Let n(c) = 6*c**3 - 5*c**3 - 3*c - 3 - 4*c - t*c**2 + c. Calculate n(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -549\/4 - -138. Let z be 1 + -1*(-2 - 10\/(-6)). Let p be 8\/10 + 266\/(-95). Which is the nearest to j? (a) 2\/5 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19654269.\nAnswer: 3, 6551423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 5*a**2 - 5*a - 6 - 21*a**3 + 22*a**3. Let x be l(-4). Let o(u) = -x - 24*u**2 + 38. Let q(g) = g**2. Give q(o(f)).\nAnswer: 576*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/20)\/((-4)\/(-10)). Suppose a + 21 = -0*v + 4*v, 3*v - 4*a = 32. Suppose v*t - 8 = 0, n*f = -2*t + 3*t + 78. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 78 = -18. Suppose -95 = -5*x - z. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 19*l + 23. Let f be a(-10). Suppose -k + 3 = 104. Let c = k + f. What is the greatest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18263.4238 to the nearest 10.\nAnswer: 18260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*h - 10949 + 10401 = 337*h + 17964 for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 98.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t - 1. Let c(z) = 5*z**3 - 7*z + 5. Let w(s) = c(s) + 4*l(s). Calculate w(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13065873 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**7\/735 + i**6\/105 + 7*i**5\/30 + 26*i**4\/21 + 20*i**3\/7 - 1632*i**2. Find d, given that c(d) = 0.\nAnswer: -3, -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*u = 60*u + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649980.\nAnswer: 2, 3, 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5717021.\nAnswer: 2\/5717021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 88906.57 litres in millilitres?\nAnswer: 88906570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14498993*-5\nAnswer: -72494965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.124 - 68.124. Let q = l - -73. What is the second biggest value in -11\/4, -5, q?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48090 and 3206.\nAnswer: 48090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 12*33\/660 - (1 + -1)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-2) - 2\/(-4). Suppose 0 = -9*x + 3*x + 18. Solve -x*w - 2*z + 6 = -0*w, -4*w + 2*z = -l for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -70303, -140765, -211227?\n\"Answer: -70462*q + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 56. Suppose -i*n + 4 = -14. Suppose 7 = 13*k - n. What is the highest common factor of 7 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19145, -38417, -57805, -77309, -96929, -116665, -136517?\nAnswer: -156485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.987 in -1, 2, -4, -1\/24, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:16 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = -3*c, -4*b + 5*c - 4*c + 7 = 0. Suppose -r + 2 = -b. Let t(a) = a**2. Give t(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2304))\/(sqrt(8) + sqrt(32)\/sqrt(4)*-5))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.0274656kg?\nAnswer: 27.4656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 3*f - 0*f - 888, 0 = -5*w - 4*f + 1111. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281966 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wyllglvgwgwvcvllgw. Give prob of picking 2 v.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -229 or -230?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -239 + 243. What is the biggest value in 0.3, 0.07, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + 0 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 3)**2 + (sqrt(1539) - sqrt(1539)*3).\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnn when three letters picked without replacement from hhhhhnn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 216806583?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.12 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 254040765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + 175\/(-10) - 0*(-1)\/(-3). What is the closest to q in 0.2, -5, -4, -4.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12198033 is divided by 31277.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven eighths of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5\/(l\/((l*l\/l**(2\/19)*l*l*l)\/l)))\/(l**3\/l**(1\/6))*(l*((l**1\/l)\/l*l)\/l)**(-4\/33)*(l*l**1)**21 assuming l is positive.\nAnswer: l**(5365\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*d - 38, 5*d - 2*h - 56 = h. Let a = d + -5. Let v = 8 - a. Solve -4*u - v = 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*j**5 + 6 + 15*j**3 - 4 + 3*j + 5 - 6*j + 0 wrt j?\nAnswer: -260*j**3 + 90*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925.5 plus -1102521?\nAnswer: -1101595.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*u - 55*u - 5*a = -59, 13*a = -3*u + 137 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 + (-1 + 2 - 0))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 495\/(-33)) + 10.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.144 * 14\nAnswer: 2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 + 115. Solve p = h - 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 76*h**2 + 106*h**2 - 24*h**2 + 575 - 594 as s*h + j*h**2 + n and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 2, s: 1}. Give prob of picking 1 o and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 18 + 15. Let c(n) = -29*n**3 + 11*n**2 - 11. Let a(p) = 6*p**3 - 2*p**2 + 2. Determine s*a(u) - 2*c(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q - 11*q**2 + 31*q**2 - 194*q**2 + 19*q - 7*q.\nAnswer: -174*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 + -137. Let i(b) = -b**w + 87 - 45 - 43 + 2*b**2. Give i(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 2 = 0, -40 = -5*x + 5*a. Suppose -17 = 4*j + 5*o, 0 = -2*j - 3*o + o - x. Solve 0 = -j*q - 3*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:14 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65075, -65712, -66349?\nAnswer: -66986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajaajavaaajjavjavjj. Give prob of sequence vajv.\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-724)\/(-14) + (-14)\/(-49). Suppose -m + y = -5*u, -m = 5*u - 8 - 4. Is m a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 3*j**2 - j**2 - j**2 + 23 in the form m + t*j**2 + g*j and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 237403?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 15. Let j = w - 4. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603*z + 3312964 = -560*z - 884868. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 3581733?\nAnswer: -3581735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(605)*-1*-5*-5 - 5*(0 + sqrt(605))*-1))**2.\nAnswer: -880*sqrt(5) + 242004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 48*p**2 - 11264*p\/3 + 8425472\/9.\nAnswer: 2*(p - 176)**2*(p + 136)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3657148 and 594863.\nAnswer: 4252011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13667 - 45776312.\nAnswer: -45776311.86333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -843236, -1686472, -2529708, -3372944, -4216180, -5059416?\nAnswer: -5902652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18, 37, 128, 255?\nAnswer: 418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 836 = -763. Suppose r + 6757 = 4*i + 2*j, -5*j - 10 = 0. Find the common denominator of -59\/8 and (-2)\/7 - i\/84.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083858 is divided by 67741.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -4153?\nAnswer: -4156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1. Let a(v) = 2*v**2 - 4. Let g(t) = 9*t + 79. Let n be g(-6). Suppose -10*h - n = -15. Determine h*a(w) - 5*k(w).\nAnswer: -2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - (149 + 40 + -121).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.205 (c) 0.5 (d) 0 (e) -1737\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141512*f**2 - 35112*f - 2178 = 0 for f.\nAnswer: -33\/266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25149 + -4526809\/180. What is the common denominator of v and 11\/870?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*n**2 + 95*n**3 - 98*n**3 - 14*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 68873401 - 68873401 - 11*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -3*b + 6*b + 3, g - 7 = 2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**2 - 1\/6*u**3 + 12*u + 0. Let i(x) = 12*x**2. Calculate q(i(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 708, 4, 0, -5, 6, -4108 in decreasing order.\nAnswer: 708, 6, 4, 0, -5, -4108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 22.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.03 + 0.03. Suppose 4*i = -12, 3*r - 75 = -0*i + 3*i. Suppose 0 = -19*m + r*m - 24. What is the smallest value in 0, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grjn when four letters picked without replacement from vrngkjr.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.5, 2\/7, -0.211, 2, 9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1911) + -2*(sqrt(1911) + sqrt(1911) + 1*sqrt(1911) + sqrt(1911)))*4)\/((sqrt(147) + -1*sqrt(147))*5 + 4*sqrt(147)*1))**2.\nAnswer: 70*sqrt(13) + 662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -338, -525, -822, -1229?\n\"Answer: -55*w**2 - 22*w - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -251, -252, -255, -260, -267, -276, -287?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*d + 22 = 0, -4*d - 12 = -4*t - t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1049*1)\/(11 + -21215). Let s = f - 30\/589. Let k = 34207\/4788 + s. What is the common denominator of -3\/71 and k?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivi when three letters picked without replacement from iiyvvvxviv?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 3*x)*(0 - 2 + 3)*(-2*x - 3*x + 13 + 6*x)*(-2 - 3 + 6).\nAnswer: -3*x**2 - 39*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -127*p - 57. Calculate j(-1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 1, c: 3, a: 3, u: 3, s: 1}. What is prob of sequence ccu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m**3 - m**2 + m + 1. Suppose 5*p + 6 = -3*y - 1, -3*p = 2*y + 4. What is the smallest common multiple of t(-1) and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48 and 53\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqjuqqcljq. What is prob of picking 1 l, 2 q, and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7262417 to 3 dps.\nAnswer: -0.726","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/7 (b) -0.2 (c) -1\/2 (d) 0.4 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1855005\/19 = 97633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220153?\nAnswer: 19, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + (-5 - -17 - 15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -14. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 629?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 37*h**2 + 30*h + 797. Let m(b) = 19*b**2 + 20*b + 398. Let i(g) = -3*j(g) + 5*m(g). Differentiate i(w) with respect to w.\nAnswer: -32*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63527770 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Suppose -b*i + 9 = -n, 0 = i - 2*n - 0 + 3. Solve -11 = 2*l + i*j, -2*l + 4*j = 2*j + 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -812606 * 41.\nAnswer: -33316846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**2. Suppose 3*k + 4 - 7 = 0. Let c(g) = -g**2. Determine k*l(z) - 2*c(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 641, 3295, 7963, 14645, 23341, 34051?\nAnswer: 46775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*t**3 - 26*t**2 + 26*t**2.\nAnswer: 98*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 14*h**2 - 20*h - 11. Let b(t) = 5*t**2 - 7*t - 4. What is 11*b(s) - 4*g(s)?\nAnswer: -s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7489.968 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2113384.993 to the nearest 1000.\nAnswer: -2113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*n = 11, -2 = i + 5*n - 0. Suppose i*u - 5 = 1. Let d(p) = -p**2 + 4*p**u - p**2. Let o(v) = 2*v**2. What is d(o(j))?\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 13*t**7\/42 - 7*t**4\/6 - 3*t. What is the third derivative of z(k) wrt k?\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**3 + 2*r**2 - 2. Let m be x(-2). Let f = m + 84. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -650 + 1109. Suppose -3*w = -3*f - 110 - 175, 5*w - f = d. Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7353028*h**2 + 22803807.\nAnswer: -14706056*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2\/5 + 1027*u\/5 + 1026\/5 = 0?\nAnswer: -1026, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -12\/5 (c) 0.02 (d) -2\/11 (e) -5 (f) 0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*m - 2*m + 132 = 0, -3*w - 2*m = 208. Let o = -47 - w. Differentiate -27 - 15 + 52 - o*b**2 wrt b.\nAnswer: -50*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from bdjkbjdbjkbddbb.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 111\nAnswer: -5\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 15518\/(-2)*(26\/(-14) + 14\/(-98))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 7*q - 4. Let h be r(-9). Is 8 a factor of (143\/h)\/(1\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c + 69 - 68 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68.2908ug?\nAnswer: 0.0000000682908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*f**3 + 8373*f**2 + 6993*f - 1398.\nAnswer: -3*(f - 466)*(f + 1)*(6*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*p - 72*p + 207*p - 67*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 5*o**2 + o - 3. Let c be 119\/6 + 3\/18. Suppose c = -p - 3*p. Calculate l(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6668785 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7353051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aha when three letters picked without replacement from haaha.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 9075580.\nAnswer: 381174360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 7*z - 4. Let p(m) = m**2 - 12*m + 5. Let r be p(11). Let a(y) = -5*y - 24. Let f be a(r). What is q(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 w when two letters picked without replacement from {h: 2, v: 3, x: 4, j: 1, w: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -94524 by -3.\nAnswer: 31508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2 + 3*x - 2. Let p be t(2). Let u(r) = -14 + 33 - p + r**2 + 17*r. What is the lowest common multiple of u(-17) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 - -81. Let n(k) = -2*k**3 - 2*k - 2. Let s(b) = -2*b**3 - 3*b - 3. Determine w*s(f) + 3*n(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 792a03a?\nAnswer: -792a044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 145*f - 305*f - 2 - 198*f.\nAnswer: -644*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 35*g**4\/4 + g**3 + 3*g**2\/2 + 5*g + 143. Let b be c(-2). Which is smaller: -270 or b?\nAnswer: -270","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(252)\/sqrt(7))\/(6*(5*sqrt(432) - sqrt(432))).\nAnswer: -sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 + -116. Suppose r = 5*b - 3*b - 4, l*b = -5*r - 6. Let y(q) = q + 3 - b + 8 - 5. Give y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*q - 4503*q**2 + 1504*q**2 + 1498*q**2 + 1498*q**2 to g*q**2 + u*q + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(21\/(-15) + 14\/35). Let m(s) = 9 + p*s - 25*s + 14*s - 7. Let k be 4\/10 - (-44)\/(-10). Determine m(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 7*m**2 + 5*m - 4. Let z(w) = -2*w**3 + 15*w**2 - 10*w + 8. Let h(k) = 9*j(k) + 4*z(k). What is the units digit of h(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16414376 divided by -124?\nAnswer: 132374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 6:50 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -1\/4, -2.3, -1\/41, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 2*d + 8 - 18 = 0, 5*c - 5 = d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -75, 15\/37, -1\/65, 0.1?\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7878288um in meters?\nAnswer: 0.0000007878288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407830 is divided by 6682.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/(-10) + 6\/(-10). What is the remainder when 1\/2 - 267\/v is divided by 36?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 64493.\nAnswer: -19347.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 183618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 116?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903829 is divided by 451703.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**2 - 3*y - 49. What are the prime factors of s(-10)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3052*o - 3046. Give u(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(30*v**2 + 18*v**2 - 5*v**2) + 2*v**2 - v**2 - 14*v**2.\nAnswer: 30*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**2 + 2465*m - 4910 = 0.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -119 (c) 0.4 (d) -1\/3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -2. Let c = -14 - q. Suppose -4*l + c - 1 = 0. Solve 2*f - 6*f - 12 = l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**2\/4 - 975*p\/4 + 14434 = 0.\nAnswer: -1031, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -61578 divided by 2?\nAnswer: -30789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.2, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 2*g + 4. Let s(n) = 2*n**2 - 5*n + 9. Let i(y) = -3*s(y) + 7*u(y). Let l be i(0). Solve l = -f + 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:24 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38668701*w + 33554086 wrt w?\nAnswer: 38668701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 - 16*z**2 - 8*z - 15. Let w(y) = y**3 + 8*y**2 + 4*y + 7. Let n(b) = 3*k(b) + 7*w(b). What is the tens digit of n(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-141 + 152 + (-10 - 0) - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - 0.6. Let l = 6.1 - 6. Is a greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**3 - 11*g**2 + 5*g. Let v be k(4). What is v rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -365034 and -41.\nAnswer: -365075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 1 + 5 = 0. Let y be (-2)\/(-8)*(k + -2). Suppose 0 = a - 6 + 3. Solve 2*d + a - 5 = y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144.36 - 1.64. Let y = 14082385 + -14082530.99882. Let o = i - y. What is o rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 37\/2. Sort r, 2, -2\/17 in decreasing order.\nAnswer: 2, r, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3165 >= -0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-120) - (2 - (2122\/10 + 4)). Solve -v = 3, -w*z = -215*z - 4*v - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2944458 to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2*y**2 - 3*y + 15. Determine i(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {a: 4, y: 7, h: 5, c: 3}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 7:49 AM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3 - (5 - 2). Suppose y*k + k = 4. Let n be (-9)\/(-4) + (-1)\/4. Is k not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 861, -4, 4, -77, -3\/5, -1 in increasing order.\nAnswer: -77, -4, -1, -3\/5, 4, 861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/15 (c) -6 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -17*i + 198. Let m be c(0). What is the greatest common factor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, q: 2, w: 1, k: 6}. What is prob of picking 1 k and 2 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 86. List the prime factors of d.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -455 + 487. Let z be 0 - (-4 + 1)*-9. Let k = z + m. Solve 3*n = -3*b - k + 14, 0 = 2*b - 3*n - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705167977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuoboobuooouoou. Give prob of sequence ub.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -4. Suppose -u*o + 2 = -4. Suppose o + 5 = 4*y. Solve 4*a = -v + 16, 4*v + 33 - y = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1238 and 3711979.\nAnswer: 3713217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 1.33.\nAnswer: 7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = t - 2*c, t + 2*c - 6*c = 3. Let g = t - -6. Let f(m) = -m - 11. Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p + 54. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2348, -4256, -6164?\n\"Answer: -1908*o - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 3*w + w)*(-2 + 0 - 16 + (0 + 2 - 1)*(2 - 2 - 2)) to the form h + q*w and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**7\/70 + o**5\/2 - 9*o**3\/2 - 485*o**2. Solve b(a) = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -0. Is 11 a factor of (z\/(-2))\/((-6)\/225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*sqrt(12)\/sqrt(6).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 35*b**2 + 14 + 13*b + 40*b**3 - 38*b**3 + 7. What is the tens digit of a(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2718564636.\nAnswer: 2, 3, 226547053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93212?\nAnswer: 2, 7, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.12 + -0.12. Let v = -7 - -6. Which is the second smallest value? (a) p (b) v (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 19. Let t be g(-17). Let n(l) = -6*l**t - 16*l**3 + 16*l**3 - 6 + l**3 + l. Give n(5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196954 (base 10) to base 3.\nAnswer: 101000011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57666548.\nAnswer: 2, 14416637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 3:58 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Suppose l = n*x - 15, 3*l + 3*x - 3 - 12 = 0. What is the smallest common multiple of l and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 3*x, -2*a + 6*a - 16 = 0. Suppose x*n + 6*n - 222 = 0. What are the prime factors of n?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:45 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 43. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58.7 - -55.7. Let z = 4 - -1. Which is the biggest value? (a) 0 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - i. Let l = 24 - 11. Let k(m) = -m**2 + 12*m + 14. Let w be k(l). Determine x(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/262 in 1, -1.1, -11, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/20 + (-14877)\/(-1710))*1\/6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.6. Let q = -5610 + 5610.9. Sort r, -13, q, -1\/5.\nAnswer: -13, r, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 39202.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most as big as 750461\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.419923 millilitres in litres?\nAnswer: 0.005419923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 5*t - 8*t - 3, 0 = -a - 2*t + 1. Let d = 17 + a. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 3*s + 3*s)*(-s - s + 0*s) + (3*s**3 - 4*s**3 - 3*s**3)*(-5 + 2 + 2).\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -431, -428, -423, -416, -407, -396, -383?\n\"Answer: n**2 - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5104 by 4.\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (2509 - -18) + (7 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-237)\/(-6))*8. Suppose 1 = -2*g - 1, 2*g - v = -2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7084244 centimeters in kilometers?\nAnswer: 0.000007084244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 75\/(48450\/15086) + -23\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383909 divided by -383909?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -10.7. Let a = j - 8. Let f = 0 + 0.2. Sort f, a, 0.1 in ascending order.\nAnswer: a, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 1, n: 1, b: 1, f: 1}. What is prob of picking 1 y, 1 c, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 24 = 2*l, 22*l - 25*l - s = -11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/24 + 10*i**3\/3 - 24*i**2. Let z be v(-5). Calculate the highest common factor of z and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 2*k**2 + 4*k + 4. Let g be b(-3). Let y(l) = l**3 + 2*l**2 - 6*l - 2. Let i be y(-4). Let q = i - g. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 2)*(6 - 2*t + 5*t - 8).\nAnswer: 12*t - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -25. Suppose 0 = -4*g + 7*g + 180. Let s = c - g. What is the remainder when 97 is divided by s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -10*y - 14. Let n be d(-9). Suppose -3*m = -2*m - 6. Let j = m + n. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -647*w + 19. Let i(d) = -645*d + 25. Determine 3*i(j) - 4*q(j).\nAnswer: 653*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10) + -16*(-8)\/(-20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4984154 by -3.\nAnswer: -4984154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u + 2*n - 28, 0 = 4*u + 5*n - 19. Let j = 16 + u. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3877706 times -0.23?\nAnswer: -0.089187238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -1, 11, 27, 47?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12.7 and 689530.9634?\nAnswer: 689543.6634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043098763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -63*o**2. Let a = -30 + 183. Let z(k) = a*k**2 + 150*k**2 - 304*k**2. What is z(w(g))?\nAnswer: -3969*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-8\/11)*f))\/((f\/((f\/((f**(7\/5)\/f)\/f))\/f))\/f*f)*(f*f**(6\/5)\/f)\/(f**(-10\/11)*f) assuming f is positive.\nAnswer: f**(79\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -28335.5 rounded to the nearest one hundred?\nAnswer: -28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3531 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4253152 + 250?\nAnswer: -4252502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/3, -2486, 1, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98.99911 + -99. Round m to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 985, 983, 987, 1003, 1037, 1095?\nAnswer: 1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Let c be 21*((-96)\/(-14))\/m. Let r = 35 + -23. What is the greatest common divisor of r and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4589532156?\nAnswer: 2, 3, 11, 19, 491, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 226?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 296327 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**3*h**2 - 772*g**3 - 69*h**2 wrt h?\nAnswer: -4*g**3*h - 138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*q - 21 = 11, 2*q = -4*i - 16. Let o(s) = 6*s**3 + 5 - s**3 + 7*s - 4*s**3 + 7*s**2. Calculate o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.12684 milligrams to grams.\nAnswer: 0.00312684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (1 + ((2*sqrt(11) - sqrt(11)) + sqrt(11))**2)*-2.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 11:03 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 859689981?\nAnswer: 3, 2741, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8817988 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65 - 68. Let y(l) = 2*l**2 - 2*l - 2. Let k be y(2). Let n be (-18)\/21 - (1 - k). Put n, 5, z in decreasing order.\nAnswer: 5, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 751, 1037, 1511, 2173, 3023?\nAnswer: 4061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -7*l**6\/90 - 3*l**4\/4 - 5*l**3\/2 + 7*l. Let z(j) be the second derivative of r(j). Differentiate z(o) with respect to o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 + -1.700025. Round w to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 0*z**4 + 5*z**2 - 17\/60*z**5 + 3\/2*z**3 + 0*z + 0. Differentiate k(m) with respect to m.\nAnswer: -34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4 - 2999*y**3 + 2252994*y**2 - 6738004*y + 4488008.\nAnswer: (y - 1498)**2*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 1\/14*v**4 - 9\/7*v**2 - 93 - 18\/7*v + 2\/21*v**3. Factor p(d).\nAnswer: 2*(d - 3)*(d + 1)*(d + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3201122, 3201157, 3201190, 3201221, 3201250, 3201277?\nAnswer: 3201302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -31*j**5\/60 + j**3\/6 + 2*j**2. Let m be g(1). Is (m\/25)\/(4\/(-10)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, w: 3, m: 4}. Give prob of picking 1 w and 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-2\/5))\/b*b))\/(b\/b**1)*b**(-9)*b**(-1\/4) assuming b is positive.\nAnswer: b**(-193\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, -9637, 0.6, 4.44?\nAnswer: -9637","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2089987 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/14 and -59\/13260.\nAnswer: 92820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let g(y) be the first derivative of -121*y**3\/3 + 95. What is o(g(r))?\nAnswer: -121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.02 (b) 45 (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -8. Let c(n) = -5*n**3 - 69*n**2 + 12*n + 11. Let m(h) = 9*h**3 + 122*h**2 - 21*h - 21. Let p(s) = -7*c(s) - 4*m(s). Give p(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c**2 + 23*c + 77. What is the remainder when q(-4) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284399917\/2 at least as big as -142199960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a*k*r**2 + 2*a*k*r - 3*a*k - 52704*a*r**2 - k*r**2 with respect to k.\nAnswer: -4*a*r**2 + 2*a*r - 3*a - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.05 (b) 2\/5 (c) -6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -513 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 27510392 and 247593524\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(-9)*(-12)\/(-128)*8*-2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47548943.\nAnswer: 13, 1123, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.1 - 2.4. Let r = -12.711 - -0.011. Let z = o + r. Which is the third smallest value? (a) 1\/4 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*u - 47 - 19. Let c(j) = j + 1. Let r be c(1). Solve -f = 5*p - r*p - u, 0 = 3*f + 3*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1756 - 2306 = -10*o. What is the remainder when o is divided by 131?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -523185*i + 98097 wrt i.\nAnswer: -523185","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(-2*sqrt(4)) + 1*sqrt(63).\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39464838.\nAnswer: 2, 3, 7, 97, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -293 - -11778?\nAnswer: 11495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(343) + -1)**2 - ((sqrt(7) - (sqrt(7) - (0 + sqrt(7)))*5) + 0 + (sqrt(28)\/sqrt(4) - sqrt(7)))**2).\nAnswer: -28*sqrt(7) + 674","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**4\/8 - 77*f**3 - 17787*f**2 - 1826132*f - 158. Determine x, given that h(x) = 0.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3329, -6653, -10031, -13463?\n\"Answer: -27*x**2 - 3243*x - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**3 + r**2 - 3*r - 1. Suppose -22*u = -24*u - 44. Let j be (-2)\/((-33)\/30 + 1). Let h = u + j. Determine o(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y - 2*y = 8018. Suppose -98 = -8*w + y. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 + 27 = 5*m. What is the units digit of (-6)\/(-21) + (-180)\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyffrffffrfpf. What is prob of picking 1 r, 1 f, and 1 p?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(-4 + 3). Suppose 3*w + 0*f + 5*f - 1 = 0, 3*w - f - 7 = j. Let p = -221 + 1325\/6. Which is the nearest to 0? (a) w (b) p (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3746\/10241 + -2\/931. What is the common denominator of j and 31\/674?\nAnswer: 7414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 6*j - 4*m - 30, -3*j = 5*m - 3. Let u be 2 + j\/3 + -1. Suppose -u*s + 32 + 1 = 0. What is the remainder when 21 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12 - 36*i - i**2 + 7 + 2*i**2 + 54*i. Let b be h(-17). Suppose 4*r - 489 = -u + 1286, -b*r - 2*u + 892 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41602827515 minus -1.58?\nAnswer: 41602827516.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21352549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-6)*14*(-20448)\/64. Let j = 2134 - w. List the prime factors of j.\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91759700 a multiple of 2855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2162, -2972, -3782?\n\"Answer: -810*m - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12528 divided by 6.\nAnswer: 2088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(35) + sqrt(35) + ((sqrt(420)*-2 + sqrt(420))\/sqrt(12) - sqrt(35)))\/(sqrt(56)\/sqrt(2) + sqrt(7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, u: 2, o: 9, g: 2}. What is prob of picking 1 u and 2 g?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*w - 2667 = 103*w. Let i = -369 + w. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 4*q + 4 + 12 + q.\nAnswer: 5*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 2, -21, -64, -133?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1732)\/12)\/((-15)\/1341). Let r = -12721 + x. Let m = r + -183. What is the nearest to 1 in -5, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -h**7\/420 - 13*h**6\/540 - 4*h**5\/45 - h**4\/9 - h**3 + 3*h. Let y(c) be the second derivative of t(c). Factor y(x).\nAnswer: -2*(x + 2)**2*(3*x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 886777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 6550 - 1194. What is the remainder when v is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s + 8*s - z = -24*s - 7, -4*s - 2*z = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144609258 and 516.\nAnswer: 289218516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21042 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:56 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 632*z + 20 = 636*z. Suppose -2*s - 2*s = -12. Sort z, 1, -4, s in descending order.\nAnswer: z, s, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8 - 10 - (-1 - -9)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*x - 7. Let d = 60 + -36. Calculate the lowest common multiple of d and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -1\/5 (c) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - ((-8)\/(-12))\/((-2)\/(-3)). Which is the closest to r? (a) 3\/2 (b) -0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125535299 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5 = 1. Let j be (-30)\/(-9) - 32\/24. Suppose g - x*g + 110 = 2*k, -106 = -j*k - 3*g. Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 + 19*t**2.\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6526 - -131059\/20. Let y = w + -136\/5. What is the nearest to y in 3\/4, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {f: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1\/3*p**3 + 5\/24*p**4 - 5 - 1\/60*p**5 + 27\/2*p**2 + 0*p. Let w(h) be the second derivative of l(h). Calculate w(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*v - 40 = -3*u + 82*v, 5*u - 3*v = -0*u + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h = -20*h. Suppose -3*z - 4*i - i + 21 = 0, 20 = 4*z + 4*i. Suppose h = -z*k - 3*k + 30. What is the remainder when k is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -687 + 6191\/9. Which is the closest to k? (a) -2 (b) 1\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 - 2*o + 2. Suppose 5*h - 2*a + 4 = 0, 3*h + 7 + 8 = -3*a. Let f(k) = 19*k**2 + 9*k - 9. Suppose 0 = 5*i - 10*i - 45. Give h*f(c) + i*m(c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31206 - -52868. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94271990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13415, 13467, 13519, 13571, 13623, 13675?\nAnswer: 13727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -141*r + 12705. Calculate the smallest common multiple of 1531\/7 + (-6)\/(-21) and k(90).\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90965, 363655, 818131, 1454387, 2272417, 3272215?\n\"Answer: -x**3 + 90899*x**2 + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -432.5379 minus 55?\nAnswer: -487.5379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/9 + 6424\/3*u**2 - 1172\/3*u + 484\/9*u**3.\nAnswer: 4*(u + 40)*(11*u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89677161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/60 - o**4\/8 - 13*o**3\/6 - o**2. Suppose -2268 = 302*h - 680*h. Calculate z(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*l = 100, -5*l + 4*l - 128 = -3*u. Suppose 3*t - 8*t + 16 = 2*p, -9 = -3*p. Suppose 190 = 4*w - t*m, -3*w + 4*m + 42 + 113 = 0. Is w > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-5))\/(-1 - 0). Let w = 10 - x. Suppose j - w = 1. Solve 5*d = -1 + j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*d - 318, 8*d + 632 = 4*n + 11*d. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -899, -2001, -3513, -5639, -8583?\nAnswer: -12549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1720967 is divided by 672.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37446?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3169555*r**2 - 3169555*r**2 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 3. Let j(v) = -2*v**2 - 17*v - 157. Let u be j(-17). Let c = u + 455. Determine b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10895 and 345?\nAnswer: 751755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6\/17 - -8\/119. Which is the third biggest value? (a) 0 (b) -5 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 12*n**2 - 281*n - 130. Calculate d(-24).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 2:44 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 263362462 (base 7) to base 6\nAnswer: 1402000224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 4:19 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -28*p - 3. Suppose 487*b = 472*b - 15. Determine y(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 267 - 267. Solve 2*j + c = -2*c, y = j + 3*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73534, 291124, 652770, 1158478, 1808254, 2602104, 3540034, 4622050?\nAnswer: 5848158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (0 - 2) + 2 + 5. Calculate the remainder when 2*(12024\/16)\/h is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t + 5. Let g(o) = -2*o + 3. Let v(j) = 5*g(j) - 3*n(j). Let f(l) = -2*l**2. Give f(v(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -34. Suppose -4*w + 12 = 4*j, 3*w - 1 = -4*j + 8. What is the nearest to 3 in j, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 2*l + 2. Let y(x) = 3*x**3 + 2*x - 3. Let f(b) = b**3 + 27*b**2 + 2*b + 50. Let j be f(-27). Give j*y(c) - 5*g(c).\nAnswer: -2*c**3 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1101010001 - 201222000?\nAnswer: -2010002001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 1:21 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o + 108. Let m be x(21). Solve 0 = m*a, 10 = -5*z + 2*a - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + 4*w**5 + w**5 + 7*w**5 + 0*w**5 + 0*w**5 + (3*w**3 - 5*w**3 + w**3)*(-2*w**2 + 2*w**2 + w**2).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132809 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.47 + -49.27. What is the nearest to 0.23 in -2\/5, 5, o?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 177\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 7*d**2 + 4*d + 10. Let o be i(-8). Let z = -30 - o. Let w = z - -73. What is the third smallest value in 3\/8, w, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -44*s - 2. Let a(u) = 2*u - 1. Let b(t) = -4*a(t) + 2*x(t). Let y(w) = -w**2. Determine b(y(n)).\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 15.2. Let u = -1 + v. Put 2\/19, 2\/21, u in decreasing order.\nAnswer: 2\/19, 2\/21, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 + t - 21. Determine j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 13 (b) 1\/5 (c) 8 (d) 2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - 4*l + 1. Let o(q) = -3*q**2 - 11*q + 3. Let u(f) = 34*f - 23. Let g be u(1). What is g*m(y) - 4*o(y)?\nAnswer: y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (232\/40 - 6)\/((-8)\/20530). Let u = t - 1069\/2. Calculate the common denominator of ((-42)\/(-80))\/((-2)\/24) and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915785 and 422670?\nAnswer: 5494710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 4, 5 in increasing order.\nAnswer: -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5*g = -10, 24 = 4*s - 58*g + 54*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1419\/980 or 0?\nAnswer: 1419\/980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2717522 and 124?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -5*g + 37, 3591*v = 5*g + 3593*v - 59 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.2 - 0.8. Let s = 6 + v. Suppose -4*l + 0*l = -4*c - 4, 9 = 3*c. What is the closest to -0.1 in -1, l, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3690*r + 3703*r = 24750349. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -843*z - 4434 + 23823 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t - 2*t + 5*t + (8*t + 61 - 61)*(1 + 1 - 1).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78437770?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 222\/(-27))*(-6)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 4. Let i(p) = p**3 + 4*p**2 - 8*p - 5. Let d be i(-5). Suppose -d*q + 20 = -15*q. What is the nearest to -1 in q, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153 and 11475.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4 - 16*u**2 + 2 - 1 - 10*u + 8*u**2 - u**3. Let r be d(-7). What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of 139*m**6\/120 + 5*m**4\/12 + 2*m**3\/3 - 13*m**2 - 7*m. What is the second derivative of z(l) wrt l?\nAnswer: 834*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21460, -21470, -21490, -21526, -21584?\nAnswer: -21670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 20 = 4*p, 2 = 5*p - 18. Is s smaller than 57\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 + 6*q - 24. Let a be k(6). Calculate the highest common factor of 36 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1113 * 0.216.\nAnswer: 240.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/1253 - -71413\/10024. Let y be -7*((-130)\/35)\/1. What is the common denominator of (y + -1)\/(10\/(-15)) and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z. Let x be (-5)\/(-80)*-44 + (-9)\/(-12). Let t(i) = -56*i**3 - 49*i. What is x*t(l) + 98*o(l)?\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(9\/5)\/f*f*f*f**(10\/11)*(f*f**(-8\/5))**(1\/3) assuming f is positive.\nAnswer: f**(248\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 44*u = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + (4 + -1 - -117)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*d + 4, -b = 2*d - 4 + 2. Suppose 4*y - 12 = d, -2*t + 22 = 5*y + 5. Let s(a) = 1760 + 4*a**2 - 1761 - 3*a**2. Calculate s(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224441 (base 5) to base 16.\nAnswer: 1fb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 5*b + 7. Let z be g(4). Suppose -z*m - q + 563 = 0, -q + 750 = 7*m - 3*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tbttbbttbttttbttbt. Give prob of picking 2 b.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.456 + -0.544. Which is bigger: s or -2.46?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 10?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0277199818 to 5 decimal places.\nAnswer: -0.02772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 7*t**2 - 85. Give m(6).\nAnswer: -553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 970129691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -351, -1203, -2055, -2907, -3759?\n\"Answer: -852*j + 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85176449819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8363\/2 + 4181. What is the second biggest value in -61, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100320 divided by -10?\nAnswer: 10032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 10374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 0*i)*(-i**2 + 0*i**2 + 4*i**2) + (-2*i + 1 - 1)*(27*i**2 - 9*i**2 - 7*i**2).\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113 (base 10) to base 4.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/(3*sqrt(448))*-5.\nAnswer: -5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330 (base 13) to base 12.\nAnswer: -396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3099 by 1033.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 74882324?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-3)*k))\/((k*k**(2\/11))\/k)*(k**(2\/3)\/k)**(-17))**15 assuming k is positive.\nAnswer: k**(1235\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -652, -1297, -1940, -2581, -3220, -3857?\nAnswer: -4492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v + 9. Let t(x) = x**2 - 8*x - 9. Let g be t(7). What is the remainder when (-28)\/g*4*5 is divided by c(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.3 and 1975 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/24 and 2\/(-14) + 1004\/168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 191992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 46770731\nAnswer: 5\/46770731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-3))\/(32\/96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -16, -21, -26, -31, -36?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*h - 6*h + 6*h)*(-2*h - 2*h - h)*(-2 + 2 - 1) to n + b*h**2 + d*h and give b.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-3) + (-1 - (3 - -2)). What is the second smallest value in 3, c, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3846, 6966, 9376, 11082, 12090, 12406, 12036?\nAnswer: 10986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 148*l + 8. Let q(a) = -57088*a. Calculate q(v(i)).\nAnswer: -8449024*i - 456704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/11)\/(g\/g**(-1\/3)*g)*g*g\/g**6*g*g**(-4))\/((g*g**(-2)*g)\/g*(g**(2\/11)\/g)\/g)**(10\/9) assuming g is positive.\nAnswer: g**(-596\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/4))**(25\/2))**12 assuming y is positive.\nAnswer: y**(375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 0*k**3 + 0*k**2 - 2*k + 1\/4*k**4 + 0. Let h(f) be the second derivative of -5*f**3\/3 + 786*f - 1. Give h(g(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-186)\/(-18))\/((-2)\/6). Suppose 0 = -7*a - 15 + f. Sort a, -4, -11 in ascending order.\nAnswer: -11, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**27*h\/((h*h**(-11)\/h)\/h*h*h) assuming h is positive.\nAnswer: h**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -52*j**3 + 2*j - 1. Let o be m(1). Let v = -9 - o. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 - 370. Let h = -223 - j. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3825 * -5\nAnswer: 19125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2033119\/214 at least as big as -9500?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-2 + 2 - w) + 18 - 18 + 12*w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251641 is divided by 124822?\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 36*q**3 - 3*q**2 - 3*q - 3. Let v(t) = 37*t**3 - 2*t**2 - 2*t - 2. What is 4*k(l) - 6*v(l)?\nAnswer: -78*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**7\/1680 + o**6\/240 - o**5\/60 - 2*o**2. Let n(i) be the third derivative of r(i). Find the first derivative of n(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -10*n + 4*n. Solve -3*c = n - 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -4*h**3 - 22*h**2 - 9*h + 6. Let l be p(-5). Is 31 + -33 - (-1 + l) - -2397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6)*75\/5. Let l = v + 15. Suppose -750 = l*n - 4*n. What is n rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (8 - 2 - (-4 + 7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/23 + 8*z**3\/23 - 64*z**2\/23.\nAnswer: 2*z**2*(z - 4)*(z + 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a centimeter?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:57 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65 + 75. Let n(q) = q**3 + 21*q**2 - 29*q + 31. Let b be n(-22). Suppose 9 = -4*s + b. Calculate the remainder when s is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 3*o**2 - 2*o - 5. Let c be w(4). Let v be 6\/(-3 + c\/2). Does 17 divide v\/(-3)*216\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 16.\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/15 - ((-334)\/6 + 1). Let p = -59 + w. Which is the nearest to -35? (a) 3 (b) 3\/7 (c) -2\/9 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n - 4. Let i be h(-7). Suppose 0 = 5*v - 4*c - 7, 0 = -v + 2*c - c + 1. What is the smallest common multiple of (i\/(-25))\/((-6)\/(-20)) and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 74*c - 30. Let w be m(18). Let p be (0 + 69)*(-4)\/(-12). Suppose p = 4*h - 1. What is the highest common divisor of h and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -35ca8?\nAnswer: 35ca3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 291*c - 3322. Calculate the least common multiple of b(-12) and 280.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226016643 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 325571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 3*c**3 + 2*c**3 - 1570*c**4 + 241*c**5 + 1569*c**4 + (5 - 4 - 2)*(c**5 + 0 + 0) + 3*c**5 - 4*c**5 + 0*c**5.\nAnswer: 239*c**5 - c**4 - c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 2}. Give prob of picking 3 r and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20) + 2 + (sqrt(5) - (sqrt(5) + -3)) + 3 + 3 + 4 + sqrt(45)\/(-6*(sqrt(9) - 2*sqrt(9))) + -3.\nAnswer: 13*sqrt(5)\/6 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 13 = -3*r. Let h = 8 + r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(38) - -3*sqrt(76)\/sqrt(2)))\/(sqrt(72) - (2*sqrt(72)*3 - sqrt(72))).\nAnswer: -4 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-209)\/(-57)*1\/(6\/((-18)\/(-1)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2)*(-2)\/6. Let m(l) = -l + 4. Let t be m(4). Let o be t + 1 + (1 - 3). Is i greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1767858 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972 is divided by 65?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + 6 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 2. Let c(r) = 42*r + 15. What is 4*c(f) - 30*v(f)?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 170*n + 116*n**2 - 127*n**2 - 1 - 1 - 162*n**5 - 3*n**3 - 2*n**3 - 3*n**4 wrt n.\nAnswer: -9720*n**2 - 72*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + b = -18 + 22, -m - 4*b = -16. Let a be (-55)\/(-10) - 2\/4. Suppose 5 - 50 = -a*t. Solve 0*u + 3*u + 3*l - t = m, -2*u - 4*l + 16 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(((sqrt(1573)*-2 - sqrt(1573)) + -2 + 0 + sqrt(1573) + -2)**2 + (-1*2*sqrt(1573) + -2)**2).\nAnswer: 3960*sqrt(13) + 189060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -5, -0.2, 0.07, -3\/8, 4\/5, 3416?\nAnswer: 3416","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0806667 to 4 decimal places.\nAnswer: -0.0807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 70?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3. Let j(n) = -3*n**3 - 5*n**3 - 6*n**3 + 9*n**3 + 6*n**3. Determine -2*j(c) + o(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**4 - 5*q**2 - 21. Let l(n) = -7*n**4 - 2*n**2 - 11. Let i(x) = 5*l(x) - 2*r(x). What is the first derivative of i(m) wrt m?\nAnswer: -28*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqttqetojoeoot. What is prob of picking 1 o and 1 j?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 + -45. Calculate the highest common divisor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 1. Let z(h) = 13*h - 42. Let q be z(4). Let r(m) = 4*m**3 - 10. What is q*p(d) + r(d)?\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 8180144 to the nearest 10000.\nAnswer: 8180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393 - -390. What is the smallest common multiple of (-18)\/(-9) - 138\/r and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4264986 by -6.\nAnswer: -710831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -37 + 5 + -2 + 2 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -28 + 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m - 1146630 = -5*m. Round m to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 66702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/840 + 4*i**5\/105 - 37*i**4\/56 - 3*i**3 - 78*i**2 + 9*i. Let a(h) = 0. What is h?\nAnswer: -21, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:29 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20759228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j. Let w(t) = t**3 - 25*t**2 + 20*t - 52. Let d be w(24). Let s = 145 + d. What is o(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 320 - 358. Sort -1, -3, -5, q in decreasing order.\nAnswer: -1, -3, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123941538?\nAnswer: 2, 3, 7, 47, 20929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77\/10 - -3\/2. Calculate the common denominator of 1\/11 and j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppdd. What is prob of picking 1 d and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.18 - 4.18. Let r = 11 - 6. Let x = r - 10. Which is the biggest value? (a) 3\/7 (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1260, 2, -4 in descending order.\nAnswer: 2, -2, -4, -1260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-1 + 0 - sqrt(17)) + -4.\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 852 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50830.87233 and 0.063.\nAnswer: 50830.93533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, g: 13}. What is prob of sequence ii?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33)\/9)\/((-3)\/63). Let t = s + -27. Let j(b) = -b**3 - 9*b**2 - 18*b - 5. Let i be j(-8). What is the greatest common divisor of i and t?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4*v - 7 + 19 = 0, -27*r = 4*v + 100 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5908 is divided by 871?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 935*z + 435. Is 13 a factor of p(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - (-14 - -12)) + 70.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 850*v**4 + 2*v**3 - 4*v**3 - 851*v**4 - v to the form w + j*v + i*v**2 + l*v**3 + p*v**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 2*h - 24 = 0. Suppose 29*j = 25*j - h. Let r = -4 - j. Solve -1 = -r*q - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 11 = -14*t - 34, 0 = -8*z + 12*z - 7*z - 6*t - 27 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -288*i**2 - 175*i + 175*i.\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97655748 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.7579 and -0.21?\nAnswer: 5.199159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43906500 divided by 3.\nAnswer: 14635500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125326*b**3 + 83*b**2 - 49*b wrt b?\nAnswer: -751956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 39378*v**3 + 78756*v**2 + 26252*v - 52504. Let c(u) = 2*u**3 + 3*u**2 + u - 2. What is -26252*c(x) + k(x)?\nAnswer: -13126*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 959269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 960*s**2 - 4650*s**2 + 972*s**2 + 2*s + 946*s**2 - 3*s + 952*s**2 + 940*s**2.\nAnswer: 120*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 9. Let k be o(-10). Sort k, -3, 4 in descending order.\nAnswer: 4, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 121*b**8\/84 + 572*b**7\/105 + 71*b**6\/10 + 52*b**5\/15 + 2*b**4\/3 - 50*b**2. Let r(u) = 0. Calculate u.\nAnswer: -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 14. Let l be a(-16). Solve -i = l*c - 8, c + 4*i = -c + 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 16. Let u = -27.999978 + m. What is u rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-495))\/(8\/20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0452 (b) -0.4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 29528155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.07, 3, 0.5?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*x - 3*x - 3*c, 4*x - 4 = c. Let i(j) = j - 1. Let q(r) = -17*r - 1. Let u(a) = x*q(a) + 6*i(a). Let d(m) = 6*m + 4. Give 7*d(v) + 4*u(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5047628030.00000033 - -5047627967. Let o = x - -63. Round o to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*(u\/((u*u**(-7))\/u))\/u)*u**(-2\/13)\/u*u*(u**(-24))**21 assuming u is positive.\nAnswer: u**(-6645\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*3*6\/(-378)*6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1279 + -1278.9996662. What is w rounded to five dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.5 + 67.5. Let i = n + -484. Let z = i + 363.2. Round z to the nearest integer.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.610163 to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294*w = 258*w + 2020644. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**7\/1260 - q**5\/40 - q**4\/12 - q. Let f(c) be the third derivative of v(c). What is the derivative of f(h) wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 - 39*w + 96. Let y = 244 - 257. Let d(g) = -2*g**2 + 19*g - 48. Let n(t) = y*d(t) - 6*s(t). Differentiate n(f) with respect to f.\nAnswer: 4*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1399975 divided by -35\nAnswer: 279995\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 2*n**2 + 20*n + 11. Let v = 4 - 4. Suppose 0*o + 3*o + 4*z - 31 = v, -3*o + 3*z + 24 = 0. Is w(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13176 divided by -88.\nAnswer: -1647\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -1\/90*g**5 + 7\/36*g**4 - 7 - 3*g**2 - 10\/9*g**3 + 0*g. Find r such that t(r) = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.5 (b) -1.012 (c) -2\/17 (d) -2 (e) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -864 and -5?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5379 is divided by 5304.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35702556 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/44)\/(3\/2)*7\/28.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 78. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-342)\/(-117) - 7\/273*-3. Solve v - v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-38)*(r**20\/r)\/r)\/((r**(-2\/15)*r)\/r**(-34)) assuming r is positive.\nAnswer: r**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 7. Let r be c(5). Let v = r + -8. Let a(y) be the third derivative of y**5\/60 + y**4\/3 - y**3\/2 + 24*y**2. Determine a(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h**2 - h - 1. Let v = -68 - -31. Let u = v + 38. Let n(a) = -7*a**3 - 4*a**2 + 4*a + 6. What is u*n(r) + 4*o(r)?\nAnswer: -3*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3480 and 9425116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2624\/147 bigger than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from vffuuffjvffvcc.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3846*n - 1911*n + 2*n**2 - 24*n**2 - 1931*n.\nAnswer: -22*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(5\/2)*f*f*f\/(f**(-1\/4)*f)*f*f\/(f*f\/((f\/(f*f*f*f**(-9\/4)))\/f))*f*f*f**(9\/5) assuming f is positive.\nAnswer: f**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {q: 1, t: 2, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2. Let k(d) = 3*d + 2*d + 2 - d**2 + d**3 - 3*d**2 - 3*d. Calculate k(r) - 4*v(r).\nAnswer: r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4485 and -16.\nAnswer: -71760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from iccicciicicc?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -2 + 32 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 9*v + 304, 48*p + 10839 = 3*v + 43*p + 10972 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-756)\/324)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2. Let t(j) = j**2 - 5*j + 6. Let a be t(4). Let q = a + -2. Is q greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - o. Let u(c) = c**2 - 5*c + 4. Let z be u(5). Suppose z*h = -2 - 2. What is g(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4301 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzwqzwwzwzwzwwzzzz. What is prob of sequence wq?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {j: 1, g: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 29650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5.9 times -5\nAnswer: -29.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/14015 or 1?\nAnswer: -12\/14015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 21*p**2 + 39*p - 27. Give v(19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3722472 (base 8) in base 7?\nAnswer: -11500216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 + 10. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -11*n**7\/420 + 29*n**4\/24 - 20*n**3\/3 - 37. Let z(w) be the third derivative of g(w). What is the derivative of z(x) wrt x?\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 2)*(-41 + 8 - 21)*(3*m + 2*m - 7*m)*((0*m + 3*m - 5*m)*(1 + 1 + 0) + 0*m - m - m - 4*m + m + 6*m) to f*m + g + q*m**2 and give q.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2165975862 to the nearest integer?\nAnswer: 46540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 555251115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -694 times 0.1?\nAnswer: -69.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/((u\/(u\/u**12*u))\/u))\/(((u*u*u**3)\/u)\/((u**(-3\/11)*u)\/u)) assuming u is positive.\nAnswer: u**(-201\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*w - 3*a, -3*a - 4 = -2*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5395, 12431, 19467, 26503, 33539, 40575?\n\"Answer: 7036*o - 1641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/77454 and 46\/507.\nAnswer: 1006902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67049967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.97 + -0.03. What is the closest to -0.1 in 1, -3, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j + 12. Let k be q(-4). Let g = k + 24. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 6*c - 195. Let y = c - 193. Suppose -o + 2*o = 0. Solve -6*w - v = -y*w - 20, -w + 5*v + 5 = o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 2\/3*d**3 + 1\/12*d**5 + 3*d**2 + 1\/8*d**4 + 0 + 0*d. Let x(z) = 11*z**2 + 7*z + 9. What is -9*p(j) + 4*x(j)?\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 122639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 364434 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: Let n = -73 - -76. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/339, -1\/3, -7, -61, 1\/3 in descending order.\nAnswer: 1\/3, 1\/339, -1\/3, -7, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2103408 > -2103408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -9947.\nAnswer: 9946.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 + 0*s**3 + 2*s**4)*(-3 + 5 + 0) + s**4 - s**4 - 2*s**4 + 3*s**4 - 3*s**4 - 3*s**4 to the form t*s**2 + u + z*s**4 + k*s**3 + i*s and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 - (-65)\/10) + (-26)\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/19)*r**30)**40)**26)**(2\/95) assuming r is positive.\nAnswer: r**(244192\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -2. Calculate the least common multiple of 5 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13360252 and -11258408.\nAnswer: -24618660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 864 - 858. What is the lowest common multiple of (2\/(-3))\/((-2)\/33) and i?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(1\/4))**49)**41 assuming h is positive.\nAnswer: h**(10045\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o + 40. Let j = 131 - 122. Does 13 divide i(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {n: 1, c: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 10\/(-3) - (-22 + (-30226)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 73 = 34*v - 12*v + 4*k, -4*v - 5*k + 7 = 3 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 + -26. Let k be (-7)\/12*c\/98. Let q = 0.16 - 0.36. What is the nearest to -2 in k, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**2*q**3 - 1404*g**2*q**2 - g*q**3 + 4*g*q - 117*q wrt g?\nAnswer: -6*q**3 - 2808*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5 + 39839*x**2 - 19917*x**2 - 3*x - 19923*x**2. Let a(d) = -d**2 - d - 1. Calculate 2*a(j) - c(j).\nAnswer: -j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -22*o**3 + 6*o**2 - 25*o - 81. Give v(-5).\nAnswer: 2944","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33895 is divided by 208?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 408982400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -7*c**3 - 3*c**2 + 4*c + 6. Let x be 10*((-52)\/(-20) - 3). Let n be r(x). Let a be -3*(n\/(-9))\/(-2). What is a rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/132*11)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 14 - 8 = 0. Suppose 0 = m*i + 11 - 67. Calculate the remainder when 195 is divided by i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from kkpkktp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11763846 to 4 decimal places.\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 less than 0.032?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -12)\/(44 + -45). Let b(x) = 12*x**3 - k*x**3 + 9*x**2 - 254*x + 265*x. Let r be ((-12)\/2)\/((-3)\/(-4)). Calculate b(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(440)*1*-1 - sqrt(440)) + sqrt(440) - sqrt(440))\/(sqrt(250)*2 - sqrt(250)).\nAnswer: -4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -12*h - 6*h**2 - h**2 + 6*h + 6*h**2. Let m be a(-5). Let p(w) = -5 + 14*w - 8*w - w**2 + m*w - w. Determine p(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145218 is divided by 5186?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*r - r + 1077123 + 18831271. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42707286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (193\/(-386))\/((-1)\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/(-42) + 48\/36?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30811, -30863, -30917, -30973, -31031?\nAnswer: -31091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*h = -w - 25, -3*h = 3*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1029\/6*24\/7. What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-1 - -1 - -3) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -9. Let f = -79 - u. Let t = -20 - f. What is the second smallest value in t, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bd when two letters picked without replacement from {d: 2, b: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-2)\/20*-10 - 843\/(-42).\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*t - 2*t - o, 0 = -4*o + 16. Is 3 a factor of t*((-33)\/(-9) + (0 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -78*h - 19213. What is i(-245)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 158*c**2 + 2. Calculate the remainder when y(-1) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvvrsrvvr. Give prob of picking 1 r and 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 9*j = -18 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/28 + 1153\/1532. Let u = 53088175 + -121996624241\/2298. Let n = l + u. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3b5 (base 12) to base 7.\nAnswer: -1442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/2367 and -68\/5523.\nAnswer: 16569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -497, -2073, -4705, -8393, -13137?\nAnswer: -18937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88461 divided by -3?\nAnswer: -29487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**0)\/m))\/(m\/m**(-3))*m**2\/(m*m**(-1\/2))*(((m*m*m**2)\/m)\/(m\/(m**2\/m)))\/m**(6\/29) assuming m is positive.\nAnswer: m**(75\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 + 44960*n + 505350400.\nAnswer: (n + 22480)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - (-4 - -6)) + 1. Suppose 2*o - k*o = 1, o + 1 = -4*d. Suppose d = 11*m - 9*m - 264. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4606*c - 1667367. What is r(-362)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8024 - 3*s + 2*s - 23*s + 8024.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (3 + (sqrt(1053) + 1 - sqrt(1053)))**2 - (3*sqrt(1053) + -5)**2)*3.\nAnswer: -28554 + 837*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 313 - 27. Let y = 84 + r. Let u be y*2\/6*(-2115)\/30. Is u > 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-15))\/((-2)\/6). Suppose -2*y = 3*m + 14 + 4, 4*y + d*m + 28 = 0. Let q be (-1)\/(-2)*-1*y. Solve -1 = s + q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 203*r - 49. Let t(c) = 17*c - 4. Determine 4*q(v) - 49*t(v).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4040)\/(-1515)*(-3)\/1*(-16)\/192\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.18 (b) -4 (c) 2 (d) -53 (e) -0.25 (f) -1\/75 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1924 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 0*z - z + 2*z + z**2 - 4*z**4 - 2*z**2 in the form c + a*z**2 + o*z**3 + w*z + d*z**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 512*b**5 - 13*b**4 + 2*b**3 - 295587*b wrt b.\nAnswer: 10240*b**3 - 156*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -28. Let n(u) = -10 - 3*u**2 - 3*u**2 - 3*u + 10*u**2. List the prime factors of n(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129906525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11131465 (base 9) to base 2.\nAnswer: 10100100100111101001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.546923kg?\nAnswer: 6546923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143650, 143580, 143510, 143440, 143370?\nAnswer: 143300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*c**3)*(-3 - 2 - 3).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7838.897t in micrograms?\nAnswer: 7838897000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3590165560 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.06.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 10:19 AM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + -2*sqrt(325) - sqrt(325))*-2)**2.\nAnswer: -1080*sqrt(13) + 105336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1180, 1, -0.2, -0.03, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154570780 divided by 63245.\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27740935 times -0.4?\nAnswer: -11096374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 1. Let p be k(1). Let g = p - 1. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.5, 2, 2\/5, -0.1, 9?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 279\/(-27) + 1 - 20\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -73 + 105. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 3*h**3 + 13 + 4*h**3 + 9.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/42 + 4*w**3\/3 + 8*w**2. What is the first derivative of b(r) wrt r?\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -2410 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5 - 5894*b**4*t**2 + 72*b*t + 15*b + t**2 wrt b.\nAnswer: 20*b**3 - 70728*b**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -18, -1, 36, 99, 194?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**5 - 31920*h**4 + 889865*h**3 - 155730*h**2 - 20153920*h + 34322400 = 0. What is h?\nAnswer: -5, 2, 4, 27, 6356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/1160 and -17\/580?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 20, 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 473 - 177 = 0. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 6)\/(4\/6 + 0)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxx when four letters picked without replacement from {r: 6, x: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s. Let k(t) = 52*t - 19. Let g(p) = -35*p + 12. Let z(o) = -8*g(o) - 5*k(o). What is i(z(f))?\nAnswer: 40*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -9*v + 25. Let w(q) = 28*q - 50 + 51 - 5 - 72. Suppose x - 20 = 5*x. Let j(f) = x*w(f) - 16*s(f). Find the first derivative of j(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453662939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) 0.3 (c) -2\/7 (d) 5\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*l**2 - 42*l - 1374 - 7*l + 1376.\nAnswer: 162*l**2 - 49*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 <= -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at least as big as 2.839?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17806*x**4 - 5*x**2 + 269?\nAnswer: 427344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 446773, 4, -271 in decreasing order.\nAnswer: 446773, 4, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 247378429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 48. Let w(d) = -d + 6. Calculate w(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -2 (c) 0.5 (d) 9224.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 34 = 0, -100*o + 188*o - 190 = 83*o + 5*t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 53, 15, -93, -295?\n\"Answer: -4*x**3 + x**2 + 33*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -92\/7. Let z = -0.04 - 0.46. Put 3, l, z in decreasing order.\nAnswer: 3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1732.477 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/36, -0.5, -4 in ascending order.\nAnswer: -4, -0.5, -1\/36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -23 (b) -0.4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u - 24. Let s be w(-5). Let f(j) = 6*j + 7. Let p(g) = 7*g - 1. Let k(z) = -14*z - 1. Let b(q) = -3*k(q) - 5*p(q). Determine s*f(d) - 5*b(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 - 2 + 2 + 4*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-196)\/28 + (-3)\/(2 - (-17)\/2) and 20\/(-188)*(-10)\/4.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**5\/60 - 11*l**4\/24 + 2*l**3\/3 + 4*l**2. Let x be d(10). What is the units digit of (-3)\/2*8\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3436312 and 0.4.\nAnswer: -1374524.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -11*s + 20. Solve s*y = 5*y - 2*z - 19, -2 = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6693772 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (-1*sqrt(80) + 2 - (0 + sqrt(80) + -1)))**2.\nAnswer: -80*sqrt(5) + 349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 2*y - 4*y - 9*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000187 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, p: 3, q: 2}. What is prob of picking 2 q?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.5355 rounded to the nearest integer?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = -7*i. Suppose -u = 22 + 4. Let w = u - -22. Sort -3, w, i in descending order.\nAnswer: i, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 greater than or equal to -477\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/2 + 19*u + 39\/2 = 0 for u.\nAnswer: -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v - 6. Let r be k(4). Suppose -5*z = -r*z - 90. What are the prime factors of z?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98380 * -2.2.\nAnswer: -216436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 10 - 135\/4*k**4 + 5*k**5 + 30*k - 145\/2*k**2 + 75*k**3. Factor j(z).\nAnswer: 5*(z - 3)*(z - 1)**2*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 51 and 2054.\nAnswer: 104754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o + 1\/3*o**3 - 1\/2*o**2 + 45. Let w(n) = -3*n - 1. Calculate t(v) - w(v).\nAnswer: v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9068, -18893, -28716, -38537, -48356, -58173?\nAnswer: -67988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -34 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 210\/18)\/(1\/999). Let x be i\/(-34) - (-18)\/153. Find the third derivative of -155*y**2 - 5*y**6 + x*y**2 - 36*y**6 wrt y.\nAnswer: -4920*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 4*r + 259, 158 = 3*k - 0*k - 5*r. Let v = -11 + k. Suppose -13 = -0*j - j - 2*t, -4*t = -4*j + v. Solve 0 = -3*h + 5 - j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5286463?\nAnswer: 7, 13, 43, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.508 * 2.\nAnswer: 45.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -2 - (-2 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o - 12. What is d(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and -1234.\nAnswer: 96252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6087827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -6 - (19 - (-2 + -4)). Let z be ((-4)\/t)\/((-1)\/10*8). Let j = 11 - 8. Sort 0.13, j, z in descending order.\nAnswer: j, 0.13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 12?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9004609 is divided by 2251121?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29837, -34066, -38295, -42524?\n\"Answer: -4229*z - 25608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r - 28*r = -182 - 88 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*k - 5*f, 5*k - 4*f + 12 = -27 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1)*(-148)\/1480*(-7)\/(105\/(-55))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*k - 1 + 74*k + 3 + 87*k to x + d*k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/270*3186\/177?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/11, -0.4, -14\/3, 0.046, 4, 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/5 - 10776*v\/5 + 21556\/5 = 0.\nAnswer: -10778, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(-2 - -3) - 0. Let h be ((-2)\/i)\/(-2)*0. Solve -2*k + h*k + 5*d = -22, -5*d - 15 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 4*c + 3*b, -1407*c + 1408*c - 2*b + 17 = 0. Which is smaller: c or -1847?\nAnswer: -1847","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1692 and 139\/10152.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/((-15)\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -10\/3 (c) -14\/605 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 0 - 1\/2*l**3 + 1\/24*l**4 + 0*l + 1\/30*l**5 - 2*l**2. Let z(o) = -3*o**2 - 2*o + 4. Calculate 4*u(p) + 3*z(p).\nAnswer: -p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/12 - 1)*(-24)\/(-2). Solve g = -x - 3 - 1, -4*g + 8 = -r*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1*(-1 + 0) + (-21)\/(-1) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 716 and 87173.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15738)\/(-34099))\/(2\/78).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 26*c**2 + 25*c + 14. What is g(27)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*172651.\nAnswer: 690604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) -22.6 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/60*-4)\/((-82)\/(-369))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/1210*77 - 2\/(-10). Sort -212, t, 5, 9.\nAnswer: -212, t, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u + 884. Let m be k(55). Let l = 721 + -423. Suppose a = -2*a + 3, 0 = m*y - 2*a - l. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 853, -4\/15, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, g: 6, q: 2, y: 4}. Give prob of sequence ggs.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10*-29784\nAnswer: 297840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2082 - 2082. Which is smaller: 2\/263 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-8) + (-4)\/(-53 + 5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6613 - 2227*f - 6613 + 1431*f.\nAnswer: -796*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2401 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 5*p - 14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 + -6091\/30. Let z = 13\/10 - o. Put z, 4, 2\/17 in decreasing order.\nAnswer: 4, z, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m**2*x**2 + 1207*m**2 - 1153*m*x**2 + 4*x wrt m.\nAnswer: -10*x**2 + 2414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 7e2b7?\nAnswer: 7e2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 73, 50, -29, -164, -355, -602?\nAnswer: -905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104219543 and 3.\nAnswer: 312658629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mimiru. Give prob of sequence mum.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -60719 at least -60719?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 47*h**2 - 247*h + 47. Let g be o(41). Suppose 4\/3 - 14\/3*p**4 + g*p**3 + 10\/3*p**2 - 6*p = 0. Calculate p.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from wmfmvwtfd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Let v(r) be the first derivative of r**5\/20 - r**3 + 10. Let t(y) be the third derivative of v(y). Give t(z(a)).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + n**3)*(7 - 3*n**2 + 8 - 14).\nAnswer: -3*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1786 is divided by 50.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.237605 + -5.219. Round o to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 179 + 809. Let z = -120 - q. Suppose 8*b - z*b = 130. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 14*l**2 - 19*l + 15. Calculate m(12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 3*l**2 - l**5 + (0*l**4 + 0*l**4 - 2*l**4)*(4*l - 2*l - 3*l) + (2*l**2 - 4*l**2 + 3*l**2)*(2*l**3 + 4*l - 4*l).\nAnswer: 3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 1089 - 1101. What is the remainder when k is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1622*k - 2 - 799*k - 766*k - 7.\nAnswer: 57*k - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*f = -20*f - 9386. Calculate the greatest common divisor of 3933 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 p when two letters picked without replacement from {u: 1, p: 10, i: 3, m: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14121 is divided by 2208?\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12026 - -58963480\/4903. Is 0.1 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.41 - -0.5. Let t = 0.089999676 - z. What is t rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 16*r + 6*r**2 - 18*r.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/11)\/n*n**(-3\/4)*((n\/(n\/(n*(n**(-2\/7)\/n)\/n))*n)\/n)**(-30)*(n*(n\/((n\/n**(1\/4))\/n))\/n)**(2\/27)\/(n**(-6)\/((n*n\/(n**5*n))\/n)) assuming n is positive.\nAnswer: n**(316805\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - (sqrt(3) - (sqrt(33)\/sqrt(11))**2)*-1 - sqrt(3)) + 1.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 1:50 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 83?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 7.\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vgvvgvvvvvv. Give prob of picking 2 g and 1 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 - 3 = 0. Let z(t) = 2*t**3 + 4*t**2 + 4*t - 6. Let p(f) = -2*f**3 - 3*f**2 - 3*f + 5. What is i*z(g) + 4*p(g)?\nAnswer: -2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*o = 2*o + 14, 5*d - 35 = -5*o. Calculate the smallest common multiple of 3 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -11*x + 8*x - 10, -6 = 3*x. Factor 2\/7 - 2\/7*b**v + 2\/7*b - 2\/7*b**3.\nAnswer: -2*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33241772 and 6108?\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -265549, -265555, -265565, -265585, -265621?\nAnswer: -265679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3370 is divided by 617?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(8\/5)*h))\/h**(-16)*((h\/(h**(4\/5)*h))\/h*h)**(1\/8))**(-3) assuming h is positive.\nAnswer: h**(-429\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 493 + -495 - (1 - -19) - 2 - -92?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-3))\/((-8)\/12). Let n be (-20)\/d*(-3)\/5. Solve -4*q = 3*o + 25, 17 = -n*o + q - 3*q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -51645, -103765, -156363, -209439?\n\"Answer: -239*b**2 - 51403*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*y - 2644338 + 846024 = 0. Calculate the greatest common divisor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 17. Suppose 4*q + 8 = 0, j - 3*q = -2*j + 12. What is the remainder when z is divided by 9\/j*30\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 620 - 620.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**6\/60 + 59*y**4\/24 - 59*y**3\/3 - y**2 + 3*y. What is the first derivative of i(c) wrt c?\nAnswer: -6*c**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292565 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 282688.2m?\nAnswer: 282.6882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -42.68. Let w = 1130 - 1133. Which is the nearest to -0.1? (a) w (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3))**(-22)\/(j\/((j*j\/j**29*j)\/j)*j\/(j\/(j\/j**(3\/4)*j)*j)) assuming j is positive.\nAnswer: j**(151\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 24*n**3 + 78 - 2*n**4 - 79 to b + y*n + t*n**2 + m*n**4 + x*n**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o + 2*o - o + 1 - 1 + (0 - 2*o + 0)*(0 - 2 + 0))*(-o**3 + 2*o**3 + 3*o**3).\nAnswer: 20*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 566*o**2 - 8 + 549*o**2 - 1144*o**2 - 1 + 5*o - o**3 in the form s*o**2 + q*o**3 + h*o + z and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58963\/(2*(-10)\/(-20)).\nAnswer: 58963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -20, -29, -38, -47?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -35968, 0.1, 0.5, -2\/11, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8045, 8044, 8043, 8042?\nAnswer: 8041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -7\/7971 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*o**2*p*q + 71*a**4*p + 9*a**2*o**2*q + 3*a**2*o*p*q - a*o**2*q + 22*a*o*p*q wrt a?\nAnswer: -72*a*o**2*p*q + 1704*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-7)*q*(q*q\/(q\/(q*q**(9\/2))*q))\/q)**(-1) assuming q is positive.\nAnswer: 1\/sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5937733 is divided by 105.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -432 * 18.3221\nAnswer: -7915.1472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = 0. Let d be (5 - 4) + -4 - -273. Suppose -d = -23*w + 5*w. Solve 0 = -r*z - 5*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(1\/1*1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282981, 565963, 848945, 1131927?\nAnswer: 1414909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 559642.7386 + -0.1.\nAnswer: 559642.6386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x*x**1)*x**(-28)\/x*x*x**(3\/8)*x*x**16*x assuming x is positive.\nAnswer: x**(-77\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -961 + 3268. What are the prime factors of l?\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5))**(-46))**(2\/39)\/(((m\/m**3)\/m**(1\/2))\/(m**(-4)*m*m**(-2\/11))) assuming m is positive.\nAnswer: m**(1123\/4290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336977729.\nAnswer: 2336977729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/8*1\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = i - 3*p - 28, -4*i - 1 = 4*p - 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 794 = 3*i + 173. Let c = -2 - -25. What is the highest common factor of i and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**4 + 106*x**3 - 609*x**2 - 2. Let d(v) = 4*v**4 - 105*v**3 + 611*v**2 + 3. Let l(a) = -2*d(a) - 3*h(a). Find the third derivative of l(c) wrt c.\nAnswer: -48*c - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1\/(-5))\/(18\/(-109170))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(5)*-1*5 + 1)*2 - ((0 + 1*sqrt(180)*5)*-2)**2.\nAnswer: -18006 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27166)\/517 - -52) + 278\/66?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -385? (a) 3 (b) 2\/3 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(141 - (-152388)\/(-1080))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -5, -39, 91, 0.\nAnswer: -39, -5, 0, 59, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91524 and -0.01?\nAnswer: 91523.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-21))\/((-11)\/33).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1371*g - 104233. Determine a(-76).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 7*a. Let p(z) = z**2 + 5*z. Let w(x) = 5*j(x) + 7*p(x). Let l(g) = 177*g. Determine l(w(q)).\nAnswer: 354*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38584 = 84*m - 98*m. Calculate the least common multiple of 4 and m.\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3 = -1, -2*k + 4 = o. Let x = 12.3 - 9.3. What is the closest to o in 3\/5, x, 23?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:36 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 2219\/1303 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143828?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 11. List the prime factors of o(-13).\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 12. Let h = 21.6 - r. Let g = h - -0.1. Which is the second biggest value? (a) -5 (b) g (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 13*u**2 + 14*u + 4. Let f be y(-11). Suppose 4*g - 18 = 74. Calculate the greatest common divisor of f and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 3, s: 1, c: 1, d: 2, j: 3}. What is prob of picking 1 d, 1 c, 1 n, and 1 y?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:15 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137492231.\nAnswer: 61, 2253971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*f + 15, -h - h + 3*f + 1 = 0. Calculate the lowest common multiple of h and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 18*t**2 - 49*t - 39142. Determine b(48).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20686 and -16.\nAnswer: 330976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6348 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -60, -251, -556, -963, -1460, -2035, -2676?\n\"Answer: 2*h**3 - 69*h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 7*w + 4*p = 0, 2*p = -w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 0*m. Suppose 4*q = n + 7, -m*n = q - 3 - 10. Let d = q + -2. Solve 2*k - 5 = d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 12*r + 52. Let l(q) = -4*q - 17. Let i(n) = -6*g(n) - 17*l(n). What is the derivative of i(z) wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 133. Let m(v) = 2*v**2 + 133. Determine 3*m(o) - 2*q(o).\nAnswer: 2*o**2 + 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3062911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*5\/((-40)\/92). Suppose 5*c = -g + 113. Calculate the smallest common multiple of 16 and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/(-11) + 8\/(-44). Suppose -4*l + l + 24 = i*x, -4*l + 4*x = -16. What is the greatest common divisor of l and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.02, 5, -126\/13, -25?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.2 + 4.2. Let a = 0 + 1. Let d = a - c. Is 0.1 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -328, -1\/3 in increasing order.\nAnswer: -328, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7048792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -a9646 (base 13) in base 14?\nAnswer: -7d979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64\/9 + 70\/9. What is the second smallest value in 11\/5, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:47 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + (57 - 53)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5 - 4. Let z = u + 31. Calculate the least common multiple of 8 and z.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, m: 3, g: 1, o: 5, s: 1, h: 4}. Give prob of picking 1 g and 1 s.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 6*z**5\/5 + 2*z**3\/3 - 5*z**2\/2 + 5579*z - 5189. What is the derivative of i(t) wrt t?\nAnswer: 24*t**3 + 4*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -53*t**3 - 29*t**2 + 13. Let w(h) = 18*h**3 + 11*h**2 - 5. Let g(m) = 3*i(m) + 8*w(m). Let l(z) = -z**2 + 14*z + 16. Let k be l(15). What is g(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5314026 (base 8) to base 13.\nAnswer: 3a71ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + 2*(sqrt(75) + -2)) - -2*(sqrt(75) - sqrt(75)*-3)) + -1*(2 + 5 + (sqrt(75) - (sqrt(75) + (sqrt(75) - (0 + sqrt(75))))))**2.\nAnswer: -45 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 52. Let p = o - -29. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7\/12 + -1\/4. Let l = 10.68 + -10.88. What is the fourth biggest value in d, l, 1\/2, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 84038.41509 + -84038. What is z rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 437*g**2 - 32 - 164*g**2 - 673*g + 674*g wrt g.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4638 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.814 * -0.168\nAnswer: -0.976752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/48)\/((-1)\/18*2). What is the third derivative of -7*i**3 - 281*i**2 + 141*i**2 + h*i + 139*i**2 + i**4 wrt i?\nAnswer: 24*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + 6*w)*(2341 - 1296 - 1255)*(0*w**3 - 65*w**3 + 9 - 11).\nAnswer: 27300*w**4 + 840*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.26 + 34.6946. What is k rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 0.5, -1.12, 96?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2 - 30608*l - 234212416 = 0. Calculate l.\nAnswer: -15304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 609*i**2 + 7*i - 9. Let z(b) = 1222*b**2 + 15*b - 19. Calculate 11*k(n) - 5*z(n).\nAnswer: 589*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2516 and 325018?\nAnswer: 408872644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n + 1. Let p be v(2). Suppose -3*q - 9 = -p. Let s = 24 - q. Let f(r) = -11*r + 5. Let u(t) = -27*t + 12. Calculate s*f(i) - 5*u(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/17))**(6\/19)\/(m\/m**14*m)**(1\/30) assuming m is positive.\nAnswer: m**(736\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1758294687 to the power of 1\/2, to the nearest integer?\nAnswer: 41932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Solve f - t = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6761 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(30\/(-8) - (-10 + 6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 100. Let c = -16 + x. Let -35*o**4 - 32*o**4 - 3*o**5 + 91*o**c - 36*o**4 - 9*o**3 = 0. Calculate o.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 5, 565\/7 in descending order.\nAnswer: 565\/7, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 1. Let t(b) = 10*b - 397. Let i be t(40). What is the highest common divisor of i and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67307 + 95555. Is 107 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 213201 (base 4) to base 12\nAnswer: 1569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 965 + -967. Which is the nearest to -1\/3? (a) -2\/3 (b) 1.7 (c) -4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -193\/3 in -3, 5, 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1)*m**(1\/4)*(((m**(2\/3)*m)\/m*m)\/m)**(-2\/3))**(6\/11) assuming m is positive.\nAnswer: m**(65\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*d - 190, d + 145 = 4*d - h. Calculate the lowest common multiple of d and (-9 - -4) + -5 - -12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**3\/7 - 136*x**2\/7 + 556*x\/7 - 80 = 0. What is x?\nAnswer: -140, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242) - ((1 + sqrt(242))*5)**2).\nAnswer: -12150 - 1078*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 20 - 7 = -3*w, -4*z = -4*w - 24. Let a = -18329\/8 - -2294. Find the common denominator of a and (w\/(-8))\/((-1)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + 2)*5*6 + -2 - (-2 + sqrt(3267) + (sqrt(3267) + sqrt(3267)*-2 - sqrt(3267)) + 3))**2.\nAnswer: 14022*sqrt(3) + 48636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 9. Let r be b(-6). Factor -5*l - 3*l**2 + l + 19*l**r + 12*l**4 - 9*l**2.\nAnswer: l*(l + 2)*(3*l - 2)*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25495 + l**2 - l**2 - 9120*l**3 - 25495.\nAnswer: -9120*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 4364*p + 47996. What is h(-11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1224142003 (base 5) to base 9.\nAnswer: -5508881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -10*v**3 + 2*v**2 + 7*v + 2. Let h(p) = p**3 + p**2 - p + 1. Let c(m) = 2*h(m) - l(m). What is the second derivative of c(i) wrt i?\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(3\/8)\/n**(2\/13))**42)**(-6\/19))**30 assuming n is positive.\nAnswer: n**(-21735\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 26*c**2 - 28*c - 55. Let z be (-8)\/(-52) + ((-2720)\/104 - -1). What is the lowest common multiple of 30 and d(z)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, 0.5, -1\/12837, -0.5, -3?\nAnswer: -1\/12837","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1) + -1)*(-114)\/90*-10\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 663*a**2. Let o(l) = 2*l**2. Calculate d(o(k)).\nAnswer: 2652*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10285 and 15130.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153 + -148. Suppose -3*r = -5*t + 1394, 123 = -3*t - v*r + 973. Does 26 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.5, -1\/7, -15 in decreasing order.\nAnswer: 3, 0.5, -1\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s**2 + 3*s**2 - 4*s**2)*(1 - 2 - 5) + (0*s**2 - 2*s**2 + s**2)*(6 - 3 - 2))*(1 + 3 - 2).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 197661.4 to the nearest one hundred.\nAnswer: 197700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, -5, 2, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 33*a**3 - 5*a**2 + 4*a. Give u(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -58\/11 (b) -1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 15 - 7 - 10 - 491*c**3 - 50*c + 143*c**3. Let b(h) = -h**3. Let j(z) = -a(z) + 5*b(z). Find the second derivative of j(x) wrt x.\nAnswer: 2058*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3942 times 3?\nAnswer: 1.1826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29484\/65)\/(-27) - -17.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*r - 142*r + 102*r = 126. Factor 0*m + 8 - 1\/4*m**r - 3\/2*m**2.\nAnswer: -(m - 2)*(m + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 9*h**2 - h - 15. Let u be m(-9). Let g(r) = -r**2 - 8*r - 1. What is the units digit of g(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - (32 + -23).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 5*l**3 + 2*l + 4*l**3 + (-2*l**2 - 3*l**2 + l**2)*(0*l + l - 3*l).\nAnswer: 7*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 5*w - 1. Calculate t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from jbjbkbbbbbjk?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 15*b**2 + 14*b. Let z be y(-14). Suppose 3*p = -4*k + 79, -p = -z*k + 2*k - 29. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3826138 + 353790\nAnswer: -3472348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79\/890 + 1\/89. Let h = 4337.7 - 4338. Sort h, -1, u in increasing order.\nAnswer: -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(117) - (sqrt(117) - -4*2*sqrt(117)) - sqrt(117))\/(sqrt(9) + -2*sqrt(900) + sqrt(9)).\nAnswer: sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 1)*(-1)\/2. Suppose i*o - 4*g + 18 = -2*o, 6 = 3*g. Let z = 14 - 13. Which is the closest to z? (a) -1\/4 (b) o (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -185328350 less than -185328352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w. Let p be (7\/4)\/((-2)\/(-8)). Let j(r) = 339*r + 2036. Let o be j(-6). Let v(n) = -o*n - p + 6*n + 7. Determine v(c(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-6*sqrt(114)*2 + sqrt(114) + (sqrt(114) - ((sqrt(114) - 1*sqrt(114)*2) + sqrt(114)))))\/(-1*5*(sqrt(600)*-1 - sqrt(600))).\nAnswer: 3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16272332933 and -2.\nAnswer: 16272332931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.07765412 to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39213 is divided by 5586.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*m + 5*m + 0*m - 6*m + 2*m - 3*m + 2*m + (1 + 0 - 2)*(-3*m - m + 5*m) + 4*m - 3*m - 2*m + m - 2*m + 0*m - 13*m + 3*m - 2*m.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 130, 7, -18 in increasing order.\nAnswer: -18, 7, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 25*l + 20*l + 3105, -4*d = 5*l - 2480. Suppose -14*b + d = -523. Does 41 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (29 - 2) - (-187 + 207).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155550 - 71634 + 0*x - 5*x - 83916.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -323, 6673 in descending order.\nAnswer: 6673, 2, -323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 117900 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55683385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y + 2*y - 5*y + 2 + 2*y - 2 - 3*y + 0*y + y - 4*y - 3*y + 2*y + (-3 + 3 + 2*y)*(2 - 1 - 3).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 2631*i + 2634.\nAnswer: -3*(i - 878)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1722005 (base 8) to base 12.\nAnswer: -201945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Suppose -q*b = -r + 27, 3*b + 5 = 2*b. Solve -r*z + 3*o + 11 = 0, -2*z + 4*z + 2*o + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-456))\/(4\/(16\/2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -96 (b) 3\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2 - (sqrt(605)*2)**2) + sqrt(180)*-1*-2.\nAnswer: -2422 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1295*a*g - 20*a - 35*g - 1033 wrt g?\nAnswer: -1295*a - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -29. Suppose 0 = -a - 2*a - 3*p + w, -5*a - p = -39. Let i be 14\/30 + a\/(-12). What is the biggest value in -5, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w**2 + 13*w - 4. Let z be k(6). Let q(o) = -2*o**2 + 4*o**z - 6*o**2. Let v(d) = -28*d + 63*d - 34*d. Determine q(v(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 2:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*x = x - 83, t = -20*x + 4*x + 172 - 50 for t.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20112112212202 (base 3) to base 9\nAnswer: 6475782","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 35*j**2 + 30*j + 36. What is the hundreds digit of b(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -40. Let i = d + 44. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.994. Let p = -22.994 - h. Let t = p + 22.9953. What is t rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-130))\/(1\/10*-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 193225 divided by 34\nAnswer: 193225\/34","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -7159 - -7430. What is the highest common divisor of 2 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -568, -1, 3, -2, -6, 2 in decreasing order.\nAnswer: 3, 2, -1, -2, -6, -568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66497.\nAnswer: 29, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -162\/25, -0.5, 2\/9, 0.3, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/4)\/(23\/46). Suppose -4*t + q = 3*x + 1, -t + 3*x + 8 = 0. Solve -n - 4 = 3*n - t*p, -n = 4*p - 17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115320\/17 + -576532\/85. Factor 0*r + 0 - 16\/5*r**3 + 0*r**2 - u*r**4.\nAnswer: -4*r**3*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -49 - (72\/3)\/8. Let f be 5\/j - (-8)\/(-52). What is the closest to f in 1, 2\/3, 7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768 (base 10) to base 11.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/68920 and -16\/60305.\nAnswer: 482440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/2 - 8*a**3 + 31*a**2 + 84*a - 408. Factor y(w).\nAnswer: -2*(w - 3)*(w + 1)*(w + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 28*n**2 - 7*n - 7. Let w(x) = 19*x**2 - 5*x - 5. Let z(i) = 5*m(i) - 7*w(i). Let a(b) = 3*b. Determine a(z(u)).\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2046818 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*x - 801 = 48*x. Let y = -96 + x. Suppose -40 = 3*g + 2*g. Are g and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 greater than or equal to -83009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3880\/6208 + (3\/5 + -1)\/((-80)\/12275).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, u: 2, g: 1, e: 2, t: 1, c: 1}. What is prob of sequence ecfe?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4, -2, 4, 14, 28, 46, 68?\n\"Answer: 2*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -4 (c) -2\/13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33173559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7220*j**2*y**3 + 1060*j**2*y**2 - 4*j**2 - j*y - y**3 wrt y.\nAnswer: -43320*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51744959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 6*f + 21*f)*(3*f - 3*f - 2*f**2)*(7*f + 20*f - 8*f) to b*f**4 + w*f + l + m*f**2 + q*f**3 and give b.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 480 = -8*n. What are the prime factors of 36\/n*(-1 - -5) - -50?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8211941351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-1) - 9\/(-3). Suppose -7*q = -b*q + 120. Is 3 a factor of (-3)\/(-4) - 54\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 35, 49, 77, 125, 199, 305?\n\"Answer: o**3 - 2*o**2 + 5*o + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4271824 to the nearest integer?\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 631?\nAnswer: -630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25.56 - -25.4. Let g = n + -1.84. Suppose -z - 4*s = -2*z - 19, 0 = -3*z + 2*s - 17. Which is the smallest value? (a) g (b) z (c) -4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158637 and 9518220?\nAnswer: 9518220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 7*c**2 + 5*c + 4. Let t be o(5). What is the greatest common divisor of 553 and t?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*f**2*h**4 + 14*f**2*h**3 - f**2*h**2 + 169*f**2 - h**4 wrt h.\nAnswer: -96*f**2*h + 84*f**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2*b)*(-3 - 1 - 3) + (3 - 3 - 1)*(-2 + 2*b + 2) - b + 2*b - 2*b + 2*b - 5*b + 5*b)*(1 - b - 1)*(-3 + 0 + 2).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 72*y**2. Let a be k(36). Solve a = x - 2 + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -139, -157, -193, -253, -343, -469, -637?\nAnswer: -853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32340 divided by -42?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((77\/14)\/(-11))\/((-25)\/(-60))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5 + 15 = 5*k, 0 = 2*k + 2*p - 4. Let u(q) be the first derivative of k - 1\/3*q**3 + q - 3*q**2. Calculate u(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8586 and 97\/318.\nAnswer: 8586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 = 2*k. Let w be 2 - 5 - (-1 + k). Solve 3*i + 0*i = u + w, -4*u + 5*i - 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*b - 1 = 0, -b + 3*b = -5*c + 11. Suppose -5*h = -c*h - 10. What is the third derivative of 5*k**5 + 9*k**2 - 2*k**2 + 0*k**h wrt k?\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49181933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 28*w**2 - 221*w + 231. Calculate the lowest common multiple of f(35) and 68.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -175 - (-3 - (4 - 12)). Let i = 187 + d. Solve 0 = i*l - 11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.528 + 65.2. Let d = 1.2884 - u. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2383 - -3038. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 117916.8l in millilitres?\nAnswer: 117916800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 6*a + 5. Let q be l(-5). Let u be (2 + q + 21)\/1. Suppose -3 + u = 2*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -16. Calculate the lowest common multiple of 3 and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 765 divide 3531313048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 267700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 292696786 divided by -257\nAnswer: -1138898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(42\/((-56)\/(-8))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4\/3 - 7304*f**3\/3 - 4353892*f**2\/3 - 310303136*f - 21658683072.\nAnswer: -4*(f + 172)**2*(f + 741)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knbeeb. What is prob of picking 1 k, 1 e, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.60843743 rounded to one decimal place?\nAnswer: 25.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.425 + 0.425000818. Round g to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*o + 21*o - 5*o**3 + 20*o**3 wrt o?\nAnswer: 90*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105729885?\nAnswer: 3, 5, 17, 138209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 11:30 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 65\/(-39)*(93\/45 - 2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21833457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/(117\/90)*(-3)\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3695*c**2 + 35 - 35 + 11*c - 11*c.\nAnswer: 3695*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 2*m**2 - 5*m**2 + (5*m - 1 + 1)*(-4*m - 3*m + 6*m))*(3 + 0 - 1).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -50 + 148 - 42 - 56 - 8485*z**2 as k*z + n + f*z**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 24 + (-1 - (-2 - 8) - (-4 - -3)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1593 - 14377\/9. What is the common denominator of o and -36\/29?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 - 6.08. Let l = 2 + w. Let f(i) = i**2 + i - 3. Let j be f(-3). What is the nearest to -0.1 in 0, l, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/1 - (-20)\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 997 + 3?\nAnswer: 99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 10. Let v be d(-2). Suppose -4*z - 3*l + 0*l + 42 = 0, -4*z + l + 50 = v. Calculate the remainder when z is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-17 - (8 + -12). Let a(l) = -2*l - 6. Let c be a(r). What is the greatest common divisor of 4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 132, 298, 530?\nAnswer: 828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43118104 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8182*s - 1138. What are the prime factors of j(-2)?\nAnswer: 2, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from ttpppt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -88303, -263, 5?\nAnswer: -88303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 9179*z + 55080. What is s(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 - 33 - 69*b**4 + 32 - b**4 - 32*b**4 + 4*b in the form u*b**2 + v*b + k*b**4 + x + r*b**3 and give k.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 0 + 106\/3*v**3 + 6*v + 23\/3*v**4 + 97\/3*v**2 - 4\/3*v**5 = 0.\nAnswer: -2, -1, -1\/4, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2070 = -4*o - 2050. Solve f - o*w - 5 = 13, 5*w + 20 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -6204*z + 3064*z + 3101*z. Let f(l) = 47*l. Give f(q(y)).\nAnswer: -1833*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*h + x - 23, x + 2 = -2*h. Let t = 3 + h. Suppose t = -y + 42 + 25. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g. Let o(c) be the third derivative of -11*c**7\/420 + 49*c**4\/8 + 46*c**2 + 3. Let v(f) be the second derivative of o(f). Determine v(k(b)).\nAnswer: -66*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 4*a - 6 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3992*j + 3997*j - 5*a + 20, -2*j - 3 = -a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96\/11*a**3 + 62\/11*a**4 + 12\/11*a**5 + 0 + 12\/11*a + 58\/11*a**2 = 0. What is a?\nAnswer: -3, -1, -2\/3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340582.\nAnswer: 2, 11, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40121084 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + 11*m - 131. Determine o(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 17?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzz. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 91. Let m be v(0). Calculate the greatest common factor of 13 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnn when three letters picked without replacement from znnnnzvvvvvnvvv.\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -17. What is the least common multiple of 7 and (8 + (-6 - -2))*r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 13*b**3 - 17327*b + 9*b**3 + 17327*b.\nAnswer: 27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p = -18*p + 1071. Suppose 3*t + 48 + p = 0. Is -2 + 20\/12 - t\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7565*g*o**3*r**2 + 35687*g*o*r**3 + 76*o**3*r + o**2*r**3 + 6*o**2*r**2 - 5*o**2*r + 315*o*r**3 with respect to g.\nAnswer: 7565*o**3*r**2 + 35687*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206929, -205485, -203081, -199717, -195393, -190109?\nAnswer: -183865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2814\/36 - 4\/24. Let g = 80 - y. Solve -b - 2 = -2*b + m, -g*m + 6 = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13616*p + 30*p**2 + 13616*p to z*p**2 + g*p + f and give z.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31140628 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -301?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (2 + ((sqrt(209)*-1 + sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11))*2 - -2*(-3 + (sqrt(304)*-1 + sqrt(304) - sqrt(19)) + -3))**2.\nAnswer: 16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26236?\nAnswer: 2, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4276bc (base 14) in base 16?\nAnswer: -224fe6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b - 60 = -54*b. Solve 19 = -4*c - 3*t, -4*c = -3*t + 11 + b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/3 - 7*l**2\/2 - 5*l + 1. Let v be d(-6). Suppose 14 = 5*b - v. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12537928 bigger than 12537928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 39 - (-3 + -21)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 10 = -2*t, -4*t + 21 = 3*j. What is the second derivative of 2 - 27*o**2 - 2 - t*o + 17*o**2 wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k**2 - 61*k**2 - 1 - 2 - k**2 - k**2 - k**2 + (-2 + 2*k + 2)*(-3*k + k + 0*k) to b*k + s*k**2 + r and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*b**3*c - b**3 + 11*b**2*c + 8121*b**2 - 53*c wrt c?\nAnswer: -8*b**3 + 11*b**2 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 - 5*j - 10. Suppose 20 = -5*g - 20. What is the units digit of r(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8719.11 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j**4 + 0*j**5 + 2\/3*j**6 + 0*j - 7\/3*j**3 + 0*j**2 + 18. Find the third derivative of b(u) wrt u.\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 2*n**2 + 14*n - 7*n + (-1 + 1 + n + (4 - 1 - 4)*(3*n - 8*n - n))*(6*n - 4*n + 0*n).\nAnswer: 16*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3267*d + 231 = 6540*d - 3294*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -11*f + 167. What is the nearest to -1 in -0.2, 3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1773 + 1771. What is the smallest value in 1, c, -2\/3, -29, 2\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 2*i**2 + i. Let s(q) = 2*q**2 - 6*q - 129. Give -s(p) - t(p).\nAnswer: -2*p**3 + 5*p + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 + 5*t**2 + 12*t - 15. What is m(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 248.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((26*f**2 + 0*f**2 + 18*f**2)*(4 + 14 + 2) + 4*f**2 + 4*f**2 - 7*f**2 + 2*f - 1 - 6*f**2 - 3*f**2 + 6*f**2)*(-3 + 0 + 2) as a*f + w + o*f**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-2)*(-29 + (-2849)\/(-111)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 60 (c) -2\/5 (d) 4 (e) -9.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233\/3 + 77. Let q be (-1*1)\/(2\/(-12)). Let v be 2\/3*q\/16. Which is the closest to y? (a) v (b) -1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 4\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 3:12 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12111\/4 + 3027. What is the third biggest value in g, -32, 2, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*(-5 + sqrt(18) + -4 + sqrt(200) + sqrt(200) + sqrt(200) + 3*3*sqrt(200) + sqrt(200))*-4)**2.\nAnswer: -612864*sqrt(2) + 9077504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/793997 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjha when four letters picked without replacement from {s: 2, h: 3, z: 1, a: 1, j: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29890 and -148.\nAnswer: 4423720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9991 - -9988. Let l = 25 - 25.5. Which is the biggest value? (a) f (b) 5 (c) 15 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*d + 1)*((3*d + 5*d - 2*d)*(0 + 0 + 2*d) + 4*d**2 - d**2 - d**2).\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 58. Suppose 3*n = 5*m - 3087, 2*n = q*n + 4. Does 41 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -7*(-22 - (-23 - -2)). Solve -a*t + 50 = 8 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25191 = 76*i + 9155. Calculate the remainder when 11815 is divided by i.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(5) - -5*(0 + sqrt(5) + sqrt(5) + sqrt(5))))**2 + (((sqrt(135)*2)\/sqrt(9))\/sqrt(3))**2.\nAnswer: -96*sqrt(5) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 120*f - 42. Let l(w) = -361*w + 112. Let h(v) = 3*l(v) + 8*s(v). Let z(m) = m. Calculate h(z(y)).\nAnswer: -123*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 5. Let n be 2\/(-9) + 47\/q. Suppose r - f = 12, 38 = n*r - r + f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82588 and 2?\nAnswer: 165176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -300200341 + 30?\nAnswer: -300200311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93261827?\nAnswer: 93261827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.1886059503918 + 0?\nAnswer: 4.1886059503918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4237? (a) 5 (b) 0 (c) -1\/7 (d) 27 (e) 17 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*d = -187*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 217. Calculate the remainder when w(14) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2\/97, -3, -13, -0.4, -5.\nAnswer: -13, -5, -3, -0.4, -2\/97, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**2 + 2*u**2 + (u - 2*u + 0*u)*(1 + 2*u - 1) + 5*u**2 + 60*u**2 - 30*u**2 + 5*u**2 - 2*u**2 - 2*u**2)*(-2*u - 3*u - u).\nAnswer: -210*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.13+-0.4316\nAnswer: -0.5616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6125 - -201029191.341.\nAnswer: 201035316.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45451238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 - 18*o + 19. Calculate t(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*b - 15*b + 1536 = -32*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 76 = 6*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 57*y**5\/20 + y**3\/6 + 5*y**2 - 30*y. Find the second derivative of j(b) wrt b.\nAnswer: 342*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*q - 8, -2*p = q + 3*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*l**2 - 68 + 90 + 248*l**2 - 463*l**2.\nAnswer: l**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -20*y + 59. Let c be x(2). Let o(u) = u**3 - 19*u**2 + 3*u + 10. Calculate the remainder when 667 is divided by o(c).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -23*s + 21. Let v(k) be the first derivative of 7 + 1\/2*k**s + 0*k + 1\/9*k**3. Determine t, given that v(t) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1872*g*o*t**2 + 2*o*t**2 - 1464*t**2 wrt g.\nAnswer: -1872*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*n**4 + n**3 + 108*n**2 + 18*n + 623 wrt n.\nAnswer: 1224*n**2 + 6*n + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 21*h + 64. What is n(16)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 302, 2585, 8782, 20849, 40742, 70417?\n\"Answer: 326*w**3 + w**2 - 2*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -r + 28389, 4*h - 16390 = -2*r + 6320. List the prime factors of h.\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = 231*t - 85*t + 1320 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -551*x**5 - 99*x**2 + 550*x**5 - 51*x**3 - 48*x**3 wrt x.\nAnswer: -60*x**2 - 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14109759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -2 + 4 - (1 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 152*k - 1. Let r(c) = 155*c - 1. Give -2*a(y) + 3*r(y).\nAnswer: 161*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 8*p**2 + 7*p + 6. What is the units digit of o(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h - 11*h**2 - 1\/120*h**6 - 1\/20*h**5 - 1\/6*h**4 + 0 + 1\/2*h**3. Is p(-3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -156983*x**3 - 143268*x**2?\nAnswer: -941898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -32, 0, -520, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ecceec.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2356 + 37723\/16. Find the common denominator of b and -97\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**3 + u**2 + 271. What is b(0)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*p - p + 0*p)*(-11 - 12 + 10)*(-2*p - 1 + 1) in the form r*p**2 + c + t*p and give r.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - w + w + (3*w**2 - 4*w**2 + 3*w**2)*(-1 - 4 + 4) + 3*w**2 - w**2 - w**2 + (-w + 2*w - 3*w)*(4*w - 3*w + 2*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5899 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qn when two letters picked without replacement from naanaaqatattataa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7352)\/190233 + (-18)\/(-69). Factor 0 + 0*a**4 + 4\/9*a**3 - 2\/9*a**5 - x*a + 0*a**2.\nAnswer: -2*a*(a - 1)**2*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c + 20. Let d be k(17). What is the nearest to d in -4\/9, 0.3, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 + 97 = -4*t. Let m = t + 113. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**4\/12 - 3*g**2 - 10*g. Let n(x) = 4 - 5*x + 3 + 5 + 3*x. Let r be n(6). Determine o(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -757*h + 10*h**2 - 304 + 383*h - 8*h**2 + 379*h to the form j + f*h**2 + r*h and give j.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 27552 = -7*v + 26970, -234 = 3*n + 3*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10069416 divided by -1?\nAnswer: 10069416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.456605 and 5.\nAnswer: 2.543395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2477, -4941, -7395, -9833, -12249, -14637?\nAnswer: -16991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -73*v**2 + 4*v. Let c(d) = -72*d**2 + 3*d. Determine 4*c(k) - 3*s(k).\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-6600))\/(135\/198)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 h when three letters picked without replacement from {t: 5, b: 3, k: 5, s: 2, h: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15196681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 18\/21 + (-25)\/(-175)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61331 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*a - 1644*a - 1951*a as o*a + s and give o.\nAnswer: -3495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -129*o + 34. Is u(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*f - 2*f. Suppose -f*x + 3 = -3. Solve -4 = x*d - 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2344728 nanograms?\nAnswer: 0.0000000002344728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*q + 10*q**2 - 575*q - 2131*q - 956*q**2 - 123*q**2 wrt q?\nAnswer: -2138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -97, -2\/9, 3, 1, -1, 2, -19?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.7931675ng?\nAnswer: 0.0000007931675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 3. Let f be r(7). Suppose -o + 4*u = 2*o - 60, -63 = -3*o + 5*u. What is the highest common divisor of o and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-15))\/(3 + (-376)\/120).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -6\/7, -18, 0.3, -2\/13?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -7*o + 111 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -73*k**2. Let q(y) = y**2 + 4*y - 16. Let x(g) = -2*g**2 - 7*g + 28. Let w(n) = 7*q(n) + 4*x(n). Calculate w(p(a)).\nAnswer: -5329*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 35. Give r(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6683, -6775, -6865, -6953, -7039, -7123?\nAnswer: -7205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(117) + 2*sqrt(117) + sqrt(117)))\/(sqrt(81)\/(sqrt(63)\/sqrt(7))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) -14 (c) 0.5 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 379 = -15*l + 255. Solve 36 = -37*h + l*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l + 6. Suppose s + 12 = 5*s. Let j(b) = 9*b + 11. Let c(d) = s*j(d) - 5*a(d). Differentiate c(w) wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*p**3 - 36*p**2 - 30*p - 8.\nAnswer: -2*(p + 1)**2*(7*p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 51282688 and 462154.\nAnswer: 51744842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 199746\/(-49184) - (-78 + 79). Let x = -2\/1537 + o. What is the common denominator of x and -5\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 5*j**2 - 5*j + 8. Let i be q(-6). Let u be 0 - i\/2*4. Put 0, u, 5 in decreasing order.\nAnswer: 5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(8\/3))**(-37)*(z*z**(-15)\/z*z)**(1\/3))**(14\/3) assuming z is positive.\nAnswer: z**(-5894\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/120*60\/(-9)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 583100.23 to the nearest one hundred.\nAnswer: 583100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -12654708?\nAnswer: 12654713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p - 4. Let i be n(-3). Suppose 4*v + i - 284 = 0. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 19.535.\nAnswer: 21.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1 times -0.1?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -62, -211, -438, -743?\nAnswer: -1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7713 bigger than 7711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 174. Let s = 0.2 - 0.1. Sort 0, s, c.\nAnswer: c, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -78. Let p be (-3)\/d*-4*-1. Find the second derivative of -46*c + 5*c**3 + 22*c**p - 22*c**2 + 5*c wrt c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41272 and 4449368?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-58 + -57 + -7).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 27 = 0. Let o(j) = 0*j**2 - 1 - 3 + 2*j**2 - 7*j. Let v be o(7). Calculate the greatest common factor of c and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 178*t + 28 + 29 - 81 + 8.\nAnswer: -178*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 8*a**2 + 21 + 0 - 16 - 40*a + 0.\nAnswer: -8*a**2 - 75*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 5*k - 5*b + 95, 3*b = -4*k - 97. Let m = k - -27. Let a = -180 + 200. Solve 4*h + a = -u, u = 2*u + h + m for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502109 is divided by 135.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11 + (-21)\/3 - 46*-1. Suppose -65 = -a - j. Calculate the smallest common multiple of a and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggbgbgggbgggggbbggg. Give prob of sequence gb.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + x - 18 = 0, -62 = -3*d - x. Let p be (d\/8)\/(4\/16). Let c = -8 + p. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-124)\/44)\/(5805\/(-2365))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 - 16*q**2 + 4*q - 30. Let h be u(-11). Suppose -4*w = -h - 10533. What is w rounded to the nearest 100?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 132\/(-30) + (1 - 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*i - 10564 = 0, 0 = 4*t + 8*i - 9*i - 21128. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/15))\/a)**(1\/46)\/(a\/((a*a**24)\/a)*a)**40 assuming a is positive.\nAnswer: a**(303601\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 8*j**2 - j - 3*j**2 - j in the form w*j + t + l*j**2 and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -788 = -u - 94. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -8, -36, -76, -128, -192, -268?\nAnswer: -356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 536*h - 3730. Calculate the remainder when b(8) is divided by 131.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14062684247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3954 divided by -3\nAnswer: 1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14 - 1 - (22 - 14). Find the common denominator of -89\/120 and u + (3 - 2) + (-2224)\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -8. Let d(u) = -u**2 - 5*u + 6. Let f be d(s). Let w = f + 18. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1386.\nAnswer: 1\/693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - g + 682 = -620, -2*g - 4 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-100)\/(-24) + 20 + -24.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 12*a**4 + 1214459*a**3 + 3339742*a**2\/3 + 337347*a + 101204\/3 = 0.\nAnswer: -101204, -1\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 134496110 to the power of 1\/2, to the nearest integer?\nAnswer: 11597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**4\/24 - w**2. Let v(y) = 3*y**2 + 2*y**2 - 4*y**2. Give f(v(u)).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 25) + 17 + (3 + -5 - -31)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x)*(-x + 0*x - x + (-x + x - x)*(-2 - 2 + 5) + 3*x - 5*x + 3*x + 2*x - 3*x - x - 315 + 2*x + 10*x + 288).\nAnswer: 8*x**2 - 27*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b - 711 = -96*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338 + 402. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 153 = 12*u. Solve -4*x - u + 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 7*y**3 - 2*y**2 + 74*y. Let d(k) = -8*k**3 + 3*k**2 - 72*k. What is -2*d(x) - 3*n(x)?\nAnswer: -5*x**3 - 78*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47567 (base 8) to base 2.\nAnswer: 100111101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 0*p**2 - 5 - 3*p + 2*p**2 - p**3 + 7. Determine d(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:42 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.08312 hours in minutes?\nAnswer: 4924.9872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 9, c: 7}. What is prob of picking 4 c?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*m + 71*m - 16. Let c(k) = k**2 - 2*k - 5. What is c(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -28.89. Let v = w - 1.71. Let i = v - -1.92. Round i to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 20*u**2 + 230*u - 6638. Determine j(23).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6096.\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*p + q - 33, 0 = 2*q - 6. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + 3*x - 7*x + (-4 + 2 + 0)*(-x + 0*x + 3*x) - 3*x + 2*x - x + (1 - 4 + 1)*(x - 2*x + 3*x + (1 + 1 - 4)*(-9*x - 2*x - 2*x)) + 0*x - 5*x + 3*x.\nAnswer: -66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/((-33)\/99). Suppose -5*m + 15 = 5*k, -3*k = 2*m - 3 - 5. Let a = -273 - -270. Sort a, k, u.\nAnswer: a, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 7\/6, -2\/7, -0.2, -0.85?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**(-2)\/(c**(-4)\/(c*c**(2\/31))) assuming c is positive.\nAnswer: c**(95\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -246.9929886 + 247. Let o = -0.007 + q. What is o rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/680 and 93\/8500.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.6 - 58. What is the third biggest value in 3\/4, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -24. Let b be -3 - n*-6*6. What is the greatest common divisor of 55 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = -17*h + 4*g + 12, g = h - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13 - 4*r + 5*r + r**3 + 0*r**3 + 0*r. Let j be t(0). Let n(k) = k**3 - 13*k**2 + k - 8. Let b be n(j). Solve a - b = x, -3*a + 0 - 17 = 5*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -172 (c) 1225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.3 + 3.2. Let l = 0.167 - -0.483. Is s greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 1\/42*s**4 + 0 - 8\/21*s**3 - 44*s + s**2. Let f(n) = 0. What is n?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 9*s - 106. Determine h(46).\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 - 3*j**2 + 6. Let q(p) = -4*p**3 - 2*p**2 + 5. Let g(x) = 2*i(x) - 3*q(x). Let d(k) = -1. Calculate 3*d(a) - g(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-243))\/(9\/(-81))*10\/(-4)*90.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25013 (base 7) to base 3.\nAnswer: -22221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(576)\/sqrt(8) + (sqrt(120)\/sqrt(5))\/sqrt(12) - ((sqrt(128) + sqrt(128) + -1 + 3)**2 + -1)).\nAnswer: -1030 - 114*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87.65 - 87.650003708. What is i rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2856764?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 379227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 352 + -352.00000247. What is f rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44235 and 313906305?\nAnswer: 941718915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -63*r + 1261. Let f be t(20). Let z(l) = 4*l**3 - l**2 + l. Determine z(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + x + 15350. Let u be 1840884\/240 - (-9)\/3. Let d = x - u. Find the common denominator of 101\/10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -643 - -1050. Let p = -267 + h. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 6*q**2 + 6*q - 4. Let u be w(7). Suppose 4*m - 113 = 3*s, 14 = m + 5*s - s. Suppose 3*j + m = -4. Do u and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3556 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6*a - 7)*(4 + 2*a**3 - 4).\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3205 + 5 + 3 - -12.\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840511 (base 9) in base 13?\nAnswer: 2a1078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0633049g to nanograms.\nAnswer: 63304900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 695?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703755379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-7 - 4) - 8) + -6 + 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 16. Let w = -3 - l. Let y = w + 2. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p**2 - 975*p - 5706. Determine k(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-225)\/6)*25\/(-20)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 304, 0, 3 in increasing order.\nAnswer: -2, 0, 3, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -4*v + 5*g - 3, 0 = v - g - 4. Suppose -2*y = v*c + 6, -c + 0*c = -3*y + 12. Solve 1 - 13 = -y*i - 3*j, i = j - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10905*o - 10871*o = 272 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -0.3903, -1\/7, -10, 11?\nAnswer: -0.3903","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25839823*k**3 - 35*k**2 + 7978*k - 3.\nAnswer: -155038938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 28, 42, 56, 70, 84?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-7 + 10) - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16161, 4\/7, 2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6)*-9 + -3. Let k be (-5 + g)*(-30)\/25. Suppose -k*v = v - 336. Calculate the least common multiple of 10 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.3? (a) -0.3 (b) -250 (c) -1\/4 (d) -2\/3 (e) -0.18 (f) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-37)\/(629\/15147). Is -902 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**4\/7 + 12*d**3\/7 - 9*d**2\/7 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1898)\/730 - (-2)\/2*3. Which is the fourth smallest value? (a) -4\/9 (b) 15\/4 (c) 8 (d) 1 (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 2323125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/21 of a week?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -f - 2*f + 2*f. Let p(c) = -3*c + 1. Let q(n) = 2*n + 0 - n**2 - 1 + 2*n**2. Calculate f*q(h) + 2*p(h).\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 359856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 32\/4 + (-1 - -1). Let a = w + -4. Suppose -44 = -4*l - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*p + 128 + 13 = -24 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(-4)\/12 - -1. Suppose -2*b - b = 2*w - 163, 4*w - 2*b - 334 = g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2354 + 2548.3. Round a to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**(-8))*d**(-1\/34) assuming d is positive.\nAnswer: d**(271\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3968)\/4960)\/(((-3)\/(-1))\/165)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**4 - 3026990*b**3 - 610848599940*b**2 - 41090970820876200*b - 164354109899631840 = 0.\nAnswer: -201798, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 42 = 102. Suppose 0 = k*v - 6460 - 920. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 10931 - 35403 = 0. What is the remainder when z is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -419 + 419. Solve -t + r + h = 1, 11 = -5*t - r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 2*a + 3. Let z be n(-3). Let h be 2\/4*4 - -3. Let l = h + z. Solve -2*c - l = -1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 p when two letters picked without replacement from yjzphyyy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llljllllljlllllj. What is prob of sequence lj?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 223 (c) -3 (d) 4 (e) -0.2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -54*(-3)\/(-4)*(-6)\/9. Find the third derivative of 6*i**2 + g*i**4 - 9*i**2 - 6*i**4 wrt i.\nAnswer: 504*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*v - 7 - 6 = 0, 2*v = 3*y - 13. Suppose 6 = 4*a - 7*a. Let l = -2 - a. Is y greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -12031*l. Let v(t) = -2*t**2 + 21662. Calculate v(f(g)).\nAnswer: -289489922*g**2 + 21662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-9)*o*o*o)\/(o**(-7)*o))\/((o*o**16\/o*o)\/o**1) assuming o is positive.\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17\/3, -2, 1\/30.\nAnswer: -17\/3, -2, 1\/30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**2 + 18*c**2 - 2*c**2 + (0*c - 3*c + c)*(c - 2*c + 0*c) + 2*c**2 - 6*c**2 + 0*c**2.\nAnswer: 19*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/332 - -7913\/18260. Sort 0, -5, u in decreasing order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 33. Suppose 5*j + 5*i = j + 65, l = -4*j + 4*i + 20. Calculate the smallest common multiple of j and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwww. Give prob of picking 3 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1373152?\nAnswer: 2, 11, 47, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/11))**(-1\/67)*(g*g**(2\/13))\/g**(-3\/4))**(-2\/53) assuming g is positive.\nAnswer: g**(-72287\/1015586)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -112789 - 51?\nAnswer: -112840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65)\/(-15))\/(-13)*(-6)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1689, 3291, 5925, 9585, 14265, 19959?\nAnswer: 26661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 37.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -387, -388, -389, -390, -391, -392?\n\"Answer: -a - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.071232 rounded to two decimal places?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 10870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/36*(1\/1)\/((-10)\/(-6)). What is the nearest to h in -0.4, 18, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, k: 1, l: 3, a: 4, h: 1}. What is prob of sequence ekel?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -110\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1233324 or -1233316?\nAnswer: -1233324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppvpvpvsspsd. Give prob of picking 2 p and 1 s.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(sqrt(2) + 5*(sqrt(2)*3 + sqrt(2)) - (sqrt(2) + -4*sqrt(32)) - (6*(sqrt(242) - 2*(sqrt(242) + (-2*sqrt(242) + sqrt(242) - sqrt(242)))))**2).\nAnswer: -432*sqrt(2) + 940896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.18 + 9.1. Let k = 7.08 + q. Which is the smallest value? (a) 0.2 (b) k (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3)\/a)**35)**(1\/21)\/(a\/(a*a\/(a*(a*(a**(-1\/3)*a)\/a)\/a*a))*a\/((a*a**(-11)\/a)\/a*a*a))**(-5) assuming a is positive.\nAnswer: a**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 8 + -7 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 6. Suppose 0 = i - p - 1. Suppose i*y = -0*y + 9. Solve 11 + 1 = y*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66.18 or 1\/2?\nAnswer: 66.18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.121464.\nAnswer: 0.60732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 8) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 4*g. Suppose 4*c - 4*x = 12, 0 = -g*x + 5*x - 5. Suppose -c*p + 1 = 3*v - 118, -2*p = v - 43. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:34 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 12. Let i be c(4). Suppose 12*n - 8*n - 684 = i. Suppose 4*l = 3*y - n, -349 = -5*y - l - 87. What are the prime factors of y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l - 20*l - 1379 = -199*l + 844 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 18*l**2 - l - 18. Let b be 6*(-5)\/5*3. Let c be s(b). What is the remainder when 19 is divided by (1 + -2)*-4 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 146\/(-22) + (108\/9 - 5). Let o = 0.1 + -1.1. Put v, o, 3 in increasing order.\nAnswer: o, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40044 + -40023. Solve 4*q - 7 = -3*p, -a = -5*p + 11*q - 13*q for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 889240413 and -2.\nAnswer: 889240411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9778852 rounded to two decimal places?\nAnswer: 3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*r = -18, 5*u = -r - 0 + 6. Suppose -4*b = 2*q - 12, -2*q - 4 = -0*b - 4*b. What is the third derivative of 3*w**3 + w**2 - w**u - 2*w**q wrt w?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4961252, -9922506, -14883760, -19845014, -24806268, -29767522?\nAnswer: -34728776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 12:44 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-15))\/(1 - 0) + 4\/(-20). Let m be -1*6\/(1 + -3). Let u = 2 + 1. Solve -2*y - u - m = p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s - 3. Let z(p) = -6*p + 3. Let h(t) = 4*t**2 - 5*t - 32. Let u be h(7). Let k = -124 + u. What is k*o(l) + 6*z(l)?\nAnswer: -l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46677135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -304, 205, 1048, 2219, 3712, 5521, 7640, 10063?\n\"Answer: -l**3 + 173*l**2 - 3*l - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-1*(-3)\/(-6) + 22\/33).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 9:05 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*v - 2\/9*v**3 + 16\/9 + 4\/3*v**2.\nAnswer: -2*(v - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**6\/120 - r**5\/12 - r**4\/24 - r**3\/6 + r**2. Calculate the remainder when 5 is divided by s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 51, -706, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(220)*-1*-6)\/(sqrt(11) - (sqrt(11) + sqrt(176)\/sqrt(4)) - sqrt(11) - sqrt(396)*2).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 109) + 267 + -81.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/5))**(-2\/25)\/(z**(-1))**11 assuming z is positive.\nAnswer: z**(1371\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(-5))\/(f**(1\/2)\/f))\/(f**(3\/2)*f\/(f**7*f)))**(-19) assuming f is positive.\nAnswer: f**(-228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 5*j + 15, -2*j - j = 3. Let q be (24\/20*m)\/((-11)\/(-5)). What is s in 18\/11 + 2\/11*s**2 - q*s = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 0.06. Let s = x + 0.09. Let t = -2.93 + s. Which is the biggest value? (a) -6\/11 (b) t (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9637251 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6)*j\/j**(-2\/15)*(j*j*j*((j\/(j*j*j*j\/j**1))\/j)\/j*j*j*j*j*j)\/(j*j*((j**(-1\/9)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(11\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59292 is divided by 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10943909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -82826, -82922, -83184, -83696, -84542?\n\"Answer: -14*j**3 + j**2 - j - 82812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181512.483 rounded to the nearest 10?\nAnswer: 181510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22 + 16*x - 34*x**2 + 239 - 19*x + 255 wrt x?\nAnswer: -68*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347, 2616, 3877, 5130, 6375, 7612?\nAnswer: 8841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/20)\/((a\/(a\/a**(-2\/23)))\/a)*(a**35*a)\/a**(4\/3) assuming a is positive.\nAnswer: a**(49271\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-4\/11)\/(j*j**(-12\/11))*(j*(j**18*j)\/j)**(3\/38) assuming j is positive.\nAnswer: j**(27\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + 3*y + 12. Let g be b(7). Which is greater: -18 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + 0*b**2 - 3*b**2)*(-23*b - 6*b - 3*b)*(1 - 5 + 0)*(6 + b - 6) in the form h + f*b + v*b**2 + g*b**4 + l*b**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/20*(-1 - 4). Suppose 2*m - 7 = -y. Is m greater than 8\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 20 = 4*p, -2*h + 6 = 26*p + 34 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368924 is divided by 295?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*w + 4*w + 33, -4*w + 3*q - 160 = 0. Let x = w + -27. Let z = 112 + x. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288215193.\nAnswer: 3, 7, 13724533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-21) - (-9)\/7. Let y be s\/3 - 35\/(-21). Factor -2\/3*n + 0 - 2\/3*n**y.\nAnswer: -2*n*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + s)*(1 + 0 - 2) + (-7*s + 3*s - 18*s)*(-1 + 0 + 3) - 6*s - 3*s + 4*s.\nAnswer: -50*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 15*n + 19. Let w be s(-14). Solve -6 = -w*m + 2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -5*r - 15. Let p(b) = b - b**r + 28 - b**2 - 3*b - 26. What is the units digit of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3322 - 2255. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*j - 9*j + 9*j + (-1 + 2 - 3)*(-3*j + j + j).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -941 - -2790. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2965016 - -424993. Suppose 3*s = 3*d - t, -5*d = 5*s - 3*s - 5649994. Round d to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(325) + -1 + sqrt(325) + sqrt(13) - (-4 + sqrt(13)*1)) + 4)**2 + 5).\nAnswer: 700*sqrt(13) + 6770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 13, -1, 5, -712958, -4, 4 in descending order.\nAnswer: 13, 5, 4, 0, -1, -4, -712958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, v: 4, z: 2, o: 1, y: 1, j: 2}. Give prob of sequence ygv.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101122101 - 0?\nAnswer: -101122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyyo. What is prob of sequence uyoy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -caa (base 16) in base 15?\nAnswer: -e62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkjooijookjoojjimj. What is prob of sequence jjo?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 44*f**2 + 7*f - 11. Give s(2).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 10 = d. Let q = 1635 + -1640. Sort q, d, 1 in ascending order.\nAnswer: q, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -495 + -238696668559.\nAnswer: -238696669054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 341 - 136. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9284.208305 + 1\nAnswer: 9285.208305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1.1, -2, 0, -1\/11, -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(3\/7)*r*r*(r**6*r)\/r*r*r\/(r*r\/(((r*r**(1\/19)*r)\/r)\/r))*r*r**(-5\/4)*r assuming r is positive.\nAnswer: r**(5443\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1619120 divided by 547\nAnswer: -2960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2800 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*l + 7*c, 45*l + c + 8 = 41*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 3*z**2 + 126 - 4826*z**3 - 126.\nAnswer: -4826*z**3 + 3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = c - 0. Let d be c*1\/(20\/5). Let x = 0.196 - -0.004. Sort d, x, -4.\nAnswer: -4, x, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evk when three letters picked without replacement from {v: 2, a: 2, d: 3, y: 2, e: 3, k: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100101 (base 2) to base 7\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 81603136639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -42, -82, -118, -150, -178?\n\"Answer: 2*o**2 - 46*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/96 (b) 0.2 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -2.04\nAnswer: 2.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 154812 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j**3 + 4*j**2 - 4*j. Let u(i) = 23*i**3 + 3*i**2 - 3*i. What is 4*u(p) - 3*z(p)?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 9, 2 in increasing order.\nAnswer: -3, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**3 - 225 - n**3 - 228 - 8*n**2 - 223 + 680 to the form a*n**2 + r + t*n**3 + s*n and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.58 + -0.5. Let n = u - 0.03. Let d = 0.05 - n. Is d at least as big as -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456 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: b\"What is the th term of 565, 397, 233, 73, -83, -235?\n\"Answer: 2*b**2 - 174*b + 737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -3\/26 (b) 1 (c) -0.06 (d) 4\/5 (e) -4 (f) 0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/9)*g*g)*g)**(-13)\/((g*g\/((g*g*g**0*g*g*g)\/g))\/g**2) assuming g is positive.\nAnswer: g**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**4 - 7*n**3 + 43*n**2 + 11*n - 202. Let q(x) = x**2 + x + 1. Let j(b) = i(b) + 4*q(b). Factor j(o).\nAnswer: -(o - 3)**2*(o + 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -6. Which is the nearest to 0.1? (a) -0.2 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, -39, -42, -45, -48, -51?\n\"Answer: -3*v - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + n + 7 = -102, -m = n - 43. Suppose -3*o + m + 79 = 0. Let a = o - 17. Calculate the highest common factor of 33 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153391341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*y**4 + 6724*y**3 - 42136*y wrt y.\nAnswer: -192*y**2 + 40344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 o when three letters picked without replacement from ooddo.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4227216883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -15*r**3 + 5*r**2 + 6*r - 6. Does 9 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 12.79, 2\/21, 5, -3.7?\nAnswer: 12.79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 243 = l, 2*t = -2*t - 2*l - 314. Let o = t - -221. Let x = -101 + o. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220.56 rounded to the nearest ten?\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 684387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54938615 to the nearest integer?\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 - 2*y + 2*y - 3*y - 4*y + (-2*y - 4*y - 20*y)*(1 + 22 + 10) as h + o*y and give o.\nAnswer: -865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 6*r + 40, -3*i - 2*r - 81 = -31 - 26 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 1\/3*71 - (-5)\/15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25 - 9) + -6 + -13 - (0 - -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, -2\/9, -5, -12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3635 + 3619. Put 0.28, t, 4 in decreasing order.\nAnswer: 4, 0.28, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006074542 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 3*p + 2*p, 4*n + 2 = 5*p. What is the second derivative of 3*t**n + 0*t**2 + 6*t**2 + 2*t + 2*t wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 2, g: 3, r: 3, y: 3, k: 3}. What is prob of sequence rykn?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25930 + 43451. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/11*(-1)\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1520)\/(-180))\/(-38))\/((-2)\/90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1467.8911 - 1468. Let u = 45.8089 + c. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1590 in 0.2, 0.13, -33\/7?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -16.6, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:02 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 24*h + 31. What is the remainder when 119 is divided by t(23)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3 - 2)*(-210)\/90. Let w(o) = 6*o**3 + 7*o**2 + 3*o - 1. Let j(u) = 2*u**3 + 2*u**2 + u. What is s*j(z) - 2*w(z)?\nAnswer: 2*z**3 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 571860 - 1186130. What is o rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23\/3 + 1\/3*j**2 - 22\/3*j = 0.\nAnswer: -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1551?\nAnswer: 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-49257.\nAnswer: -738855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = -5*p + 16, 0 = -p - m + 1. Solve t + 2*t = i + 11, -i - 16 = -p*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43 - 53. Let v be -3*(-8)\/(-6) - u. Solve -4*a + 2 = v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a litre in millilitres?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.4 (c) -0.44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**5 + 14*w**4 - 14*w**3 - 46*w**2 + 88*w - 40 = 0.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 33 = 36. What is the third derivative of 10*d**2 - 761*d**3 + 305*d**j + 234*d**3 wrt d?\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190054, -190035, -190016, -189997?\nAnswer: -189978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82560*s**3*z**3 - 4*s**2*z**3 - 7*s*z**3 - 52987*s*z wrt s?\nAnswer: 495360*s*z**3 - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -28 + (-1 - -1) + -5 + 15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-162)\/(-8))\/((5175\/100)\/69)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/55743 - -2629777\/78486144. Calculate the common denominator of -67\/352 and b.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2079 + 0*p**2 + p**2 + 26*p - 2074. Let s be u(-26). Solve -s*d**5 - 25*d + 2*d - 40*d**4 - 90*d**3 - 31*d**2 - 49*d**2 - 2*d = 0 for d.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1240\/60*(0 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 113. What is the smallest common multiple of 8 and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29516 and 2104?\nAnswer: 15525416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 8, a: 8, e: 1}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from ytakt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-14 - -9) + 7)\/(-1 + 18). Sort 18, 0.3, i in decreasing order.\nAnswer: 18, 0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6380 by -69.\nAnswer: 6380\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 724882 by 3.\nAnswer: 724882\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*o - 39*o + 5, 5*v = 4*o + 26751. What are the prime factors of v?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 34, -0.6, 2\/3, 0, -8?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1)\/(4 - 4 - -1). Is 2\/291 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, -2.95, -1567 in ascending order.\nAnswer: -1567, -6, -5, -2.95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 124?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9365796 divided by -99.\nAnswer: -94604","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-11*10\/(-110).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x**2 - 3*x - 2. Let o(w) = 15*w**2 - 6*w - 4. Let l = -21 + 34. Let v(p) = l*q(p) - 6*o(p). Let t be v(3). Which is bigger: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444125\/2 <= 1222063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176 - 1 + 2*v - 226 + 34 to n + j*v and give n.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*h + 18 = 0, 5*b - 6 = 7*b - h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2773, 2779, 2785, 2791, 2797?\n\"Answer: 6*k + 2767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 54816, 109636, 164454, 219270, 274084, 328896?\n\"Answer: -t**2 + 54823*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**3 - 7*a + 1. Let g(y) = -y**3 + y**2 - y. Give 5*g(k) - w(k).\nAnswer: 2*k**3 + 5*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 267, 252, 227, 186, 123, 32, -93?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -820*h**3*t - 8*h**3 + 8*h**2*t + 26*h**2 + 6*h*t - 6 wrt h.\nAnswer: -4920*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4, -43, -11.\nAnswer: -43, -11, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + 15*i - 88. Let n be a(6). Solve 12 = -3*q + f, -2*q - n*f - 3*f - 25 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 15\/(0 + 3). Suppose 2*c = n*c. Is -2\/3 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/97, 1\/2, -0.4?\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 10*v = -2*m + 135, 4*v - 180 = -3*m. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 = -5*x + 18, 0 = -r - 1. Suppose x*j - 4*l - 18 - 5 = 0, j - 11 = 3*l. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -5, -4, -101 in descending order.\nAnswer: 2, -4, -5, -6, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = -8. Let r be ((-12)\/4 + 2)*0. Suppose 10 = -f + k*n - 8, r = 4*n. What is the common denominator of f and -19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 210222.39 months?\nAnswer: 175.185325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 58296 and 246.\nAnswer: 2390136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 20 = -5*m, -m - 24 = -59*l + 64*l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120, 258, 888, 1770?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33 + 7*y**3 + 9 - 19 - 11*y**3 + 8*y**4 wrt y.\nAnswer: 32*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25a91 (base 11) to base 16\nAnswer: 917f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q + 6*q - 6*q - 1 + 3*q. Let k be o(1). Let f = 41 - -3. Calculate the highest common factor of k and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41\/180 or -1?\nAnswer: 41\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 65 = 81. Let a be ((-69)\/(-2))\/(9\/12). Let o = s + a. Does 9 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and 284.\nAnswer: -710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/25 - (-169)\/(-5). Let y = r + 20. Let s = y + 18. Let a(p) = p**2 - 2*p + 3. What is a(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/210 + z**4\/21 + 4*z**3\/21 + 21*z**2. Factor h(q).\nAnswer: 2*(q + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55 - 493\/9. Let o be (-192)\/45 - 85\/(-51) - -3. Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + 16. Let t = o + -59. Let m = t + 19.948. What is m rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13)\/((688\/(-387))\/(49\/(-189)) + 21\/(-3))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 14\/(-6))\/(19047\/27210)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -2. Let c(l) = 14*l**3 - 22*l**2 + 22*l - 22. Let m(u) = u**3 - u**2 + u - 1. Let x(h) = -2*c(h) + 44*m(h). Is x(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10 and 84?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from ykavvyid.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 7*a + 24)*(34*a**4 + 252*a**3 - 252*a**3) + 3*a**4 - 5*a**4 + 15*a**5 - 6*a**5.\nAnswer: 247*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a - 4. Let u(c) = -6*c - 5. Give 5*i(q) - 4*u(q).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(2448) - (2 + sqrt(2448))) + -3) + 0 + sqrt(272) + 4 + -5*(sqrt(272) - -2*sqrt(272)))**2.\nAnswer: -1568*sqrt(17) + 53508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59711)\/(-568) + -99)\/((-1)\/(-4)).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 237707.4 hours?\nAnswer: 1414.925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqc when three letters picked without replacement from usqxcjxsxcxcjq?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 1311, 1970, 2629, 3288?\nAnswer: 3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from rrrooro.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20398.\nAnswer: 2, 7, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1666128638?\nAnswer: 2, 5623, 148153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 3, 14, 1.8, -1\/45?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a + 7*a = 24*a - 4842 - 1851 for a.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 30, 3*z - 68013 = -103*s + 105*s. List the prime factors of z.\nAnswer: 19, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543814628 smaller than 543814628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 52 + -20 + -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314820 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1941194, 7764829, 17470902, 31059413?\nAnswer: 48530362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 292358.\nAnswer: 25\/146179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328334.5g in milligrams?\nAnswer: 328334500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/(-50))\/((-3)\/(-15)). Find the second derivative of -3*i**2 + d - 25*i**5 - 17*i + 5*i**2 - 5*i + 55*i**5 wrt i.\nAnswer: 600*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 5*f + 4. Let y be 1 - (5 + (-2 - -1)). Let g be 9\/6*(-8)\/y. What is r(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18429?\nAnswer: 3, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 1 = g. Suppose g*u = -2*t + 7*t + 47, 4*t = 4*u - 60. What is the tens digit of 6\/(-7)*(0 - u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -379283\/110 + 3448. Is 1 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -85*a + 96*a - 110. Calculate the greatest common factor of 110 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 2*u**3 + u**3 - u**3 + 8*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -59, -52, -47, -44, -43, -44?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622301.\nAnswer: 1823, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 8*w - 1. Let d(v) = 4 - 2134*v**2 + 1071*v**2 - 3 + 1062*v**2 - 4*v + 9*v. Give -7*d(t) - 5*h(t).\nAnswer: 2*t**2 + 5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 17195*-0.1\nAnswer: -1719.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1. Let v(a) = a - 1 + 2 - 3 + 4. Let f = -1 - -6. What is f*x(m) - 2*v(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254.67 - -337.6671. Let c = 83 - k. Round c to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9100 and 4004.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in -2\/5, -0.04, -0.5, -5, 13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2425\/9 - -269. Let u = 276\/5 + -56. What is the third biggest value in u, 1\/3, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j + 4*o = -4*j - 40, 2*o = -3*j + 20 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37069.22 millilitres in litres?\nAnswer: 37.06922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 3. Suppose 7*d - 35 = 7. Suppose -d*b - 8 = -10*b. Give m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - s - 2. Let p be b(-2). Suppose -g - 105 = -p*g. What is the remainder when g is divided by (30\/(-12) + -2)*-4?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284601 is divided by 465.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 741 + -366. Let p be b\/105 + 6*(-2)\/21. Solve -16 = p*d - 7*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9614114 minutes to nanoseconds.\nAnswer: 57684684000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.148 - -50.\nAnswer: 50.148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmu when three letters picked without replacement from {m: 17, u: 2}.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 7:50 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61736 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: Convert 3 (base 9) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4242700 (base 9) to base 3\nAnswer: 11021102210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -86*o**5\/15 + 13*o**4\/12 - 16*o**3\/3 - 54*o**2. Let t be k(28). Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 231*f**3 + 10*f**2 - 27*f + 8. Does 40 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 28 + 143*q - 3)*(-3 - 2 + 3)*(2 + 6 - 4).\nAnswer: -1144*q + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/1632947?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -5*m**6\/24 + m**5\/20 - m**4\/24 + m**3\/3 - m**2. Is z(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -40. Let x be ((-3)\/5)\/((-1)\/5). Suppose 3*m - 3*r - 7 = 29, -z = -x*m + 2*r. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1549 + 1896. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 1:00 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 453909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/25*70\/(-4). What is the highest common factor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t - 3. Determine n(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165039 and 27405?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.5 from -9.39.\nAnswer: -13.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**13\/(g*g\/g**(-36)))\/(g**(-43)*g**(2\/15)\/g*g))**(-8\/9) assuming g is positive.\nAnswer: g**(-2144\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000018798 rounded to seven dps?\nAnswer: -0.0000188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 523\/3 - 175. Let n = 4.26 - 0.26. Which is the third smallest value? (a) 1\/2 (b) n (c) -0.1 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35599.4 rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(-37)*a)\/a)\/a)\/(a\/(a\/a**(-35))*a*a*a))\/((a\/(a*a*a**(-24)\/a))\/(a\/(a\/(a*a\/a**(-4\/11))))) assuming a is positive.\nAnswer: a**(-293\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**4*v**2 - 2*g**4 + 1960*g**3*v**2 - 18*g**2*v**2 - 5*g**2 + 3*v**2 + 23*v wrt g.\nAnswer: 24*g*v**2 - 48*g + 11760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 45654755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u)*(-u - 2 + 2)*(7 - 2 - 1) + (-u**2 + 0*u**2 + 3*u**2)*(37 - 4 + 29).\nAnswer: 128*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65523751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 6*p - 2. Let d be h(5). Calculate the remainder when 19 is divided by (44\/(-2))\/(d - 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 99 = -2*f. What is the remainder when f is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9344 and 9331444?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(404*j - 404*j - 45*j**2) - 3*j**2 - 2*j**2 + 3*j**2.\nAnswer: 43*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767858 divided by -6?\nAnswer: -294643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -c6670e (base 15) to base 13\nAnswer: -1c55b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 - t + (-3 - t + 3)*(3 - 2 - 3) + (2*t - 1 + 0 - 10*t)*(-6 + 4 + 3) as v + c*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5095\/6 - -28201\/33. Which is bigger: 5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 b, and 1 e when four letters picked without replacement from {b: 4, e: 3, i: 5}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 - 61. Suppose -4*w - 4*w + 32 = f. What is v in -v**3 - 2\/5*v + 9\/5*v**2 - 9\/5*v**w + 0 + 7\/5*v**5 = 0?\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 1051 + 1047 - 10*n - n to z + i*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7490 and 2330048.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -35. Suppose 39 = 3*k - j*k. Suppose 10*b = k*b - 537. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614 + 4381 = -341*r - 2507 for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 89*k**2 + 5*k + 6. Let s be a(-1). What is the highest common factor of 36 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13622)\/76450 + 8\/50\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-3)*j\/((j\/(j\/j**(-19)))\/j))**47 assuming j is positive.\nAnswer: j**893","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 9. Calculate h(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1044 and 5684?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**2 + 17403*w - 17403*w.\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15690581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 20*h + 37. Give j(13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1388919843 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 9*d + 8. Suppose -23*v + 29*v - 42 = 0. Let w be h(v). Do -56\/9 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 128*v**2 + 10*v - 8. Let t(z) = -86*z**2 - 7*z + 6. Determine -5*m(j) - 7*t(j).\nAnswer: -38*j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.5 (b) 0.055 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.628232 decades to years.\nAnswer: 36.28232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-8)*-2 + 0. Let w be (-6)\/(-10) - (-112)\/(-320). What is the biggest value in l, -5, w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0417154 rounded to three dps?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 + 4*a**2 - 5*a**2 + 3*a**2 + 0*a**2 + a**2 + (3*a - 2*a - 2*a)*(0 + 0 - 2*a) - 9*a**2 + 4*a**2 + 4*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(363) + sqrt(363) + 1.\nAnswer: 2 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-5))\/(d\/d**(2\/17))*(d**7)**(2\/69) assuming d is positive.\nAnswer: d**(6241\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154291 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 382*p + 367871. Give b(-963).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6. Let p = g + -2. Let f = -22\/5 + 4. Which is the smallest value? (a) 0.1 (b) p (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72983 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 1055473 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -390949842*a*s**2 - 5981005*a + 2*s**2 + 10 with respect to s.\nAnswer: -781899684*a*s + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1531 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 20118*r\/5 + 1867784\/5.\nAnswer: -2*(r - 10151)*(r + 92)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 35810*l - 1360*l + 0 + 0.\nAnswer: -37170*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10504, 10515, 10528, 10543, 10560, 10579, 10600?\nAnswer: 10623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1278 and 2 + (48\/(-6) - -3) + 5.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 6*o. Let j be n(-5). Let t be (-70)\/4*4\/j. Suppose -p = p - t. Calculate the remainder when p is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 604, -2018, 3 in descending order.\nAnswer: 604, 3, -2018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 3 = -6*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033306669 rounded to three decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88823 + 96639443\/1088. Calculate the common denominator of v and 17\/14.\nAnswer: 7616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1318610715?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -346 - -346. Suppose o = -l + 5*o + 1350, -3*l + 4*o + 4082 = u. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 9*x**2 + 9*x - 5. Let f be l(8). Let a = -1 + f. Let q(b) = -b**3 - 5*b**2 - 5*b + 2. Let s be q(-4). Solve s = a*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(3\/(-9)) + 3. Suppose -42*z + 46*z - 72 = h. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*h**3*i + h**3 - 92*h**2*i + h**2 + 202269*h*i wrt h.\nAnswer: -150*h*i + 6*h - 184*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m - 3. Let w = 2 - -1. Let d be k(w). Let i = -5497\/21 + 784\/3. What is the second smallest value in i, d, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13114 and 130?\nAnswer: 852410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -1. Let p(z) = -z + 3. Let f(k) = p(k) + 3*t(k). Let g(a) = -2 + 3*a**2 + 2. Determine g(f(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*r - 17, -43 = -114*s + 110*s + 3*r. Solve -s*y + 51 = -24*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {x: 1, n: 1, c: 8, m: 3, l: 6}?\nAnswer: 16\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(768) + sqrt(3) + (sqrt(15)*1)\/sqrt(5) + sqrt(3))**2.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202.359 + -5.359. Which is the third biggest value? (a) -4\/3 (b) -2\/39 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frbbrrrrrrbbrbbrbrrr. Give prob of sequence br.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 2. Let z(r) = 10*r - 10. Let x be 3\/(-6)*(0 + -4). Determine x*z(u) - 11*d(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 2*t = 0. Suppose -2*o - 6 = 2*a, t = 5*a - o - 3 - 0. Solve 4*f + 0*f = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, 0.3, -3, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 34730\/42 + 236\/2478. Is m > 827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*47\/(235\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 302305950 and 450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(-1 + ((1*sqrt(128))**2*5 - 6*(sqrt(128) + sqrt(128)*2 + sqrt(128)))) + 4.\nAnswer: -768*sqrt(2) + 2558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/12*21\/15)\/(5\/20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/12 + (-1)\/(-3). Suppose 0 = -5*m - 4*x + 61, -5*m + x + 39 = -s. Suppose 1 + 11 = 4*u. Calculate the highest common divisor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 2:21 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18020, -125721, -418054, -987335, -1925880, -3326005?\n\"Answer: -15386*b**3 + b - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 631 + -631.5. Let g = 5.2 + -2.2. Put h, g, -2\/13 in descending order.\nAnswer: g, -2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(((-24)\/16)\/(-3))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. What is the second derivative of -3*w - v*w**4 + 9*w**4 + 0*w**4 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.1. Let v(i) = -i**3 - 5*i**2 - i - 5. Suppose -5*g = 2*t + 5, -2*g + 20 = -3*t + 3*g. Let n be v(t). What is the nearest to 0 in n, -1, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8327 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -26 - -35 - 12\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - d + 0*d - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - 13*j + 5*j, -165*c + 3*j - 14025 = 0 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 91.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2110*u - 50638. Determine a(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110\/(-4)*(585\/25 + -7 + -18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -260 + 257. Let u = 0.11 - -0.11. Let x = 4.78 + u. Is x != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222768 plus -38237245?\nAnswer: -38014477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19283 is divided by 46?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/3 + 5296*t**3\/3 - 5300*t**2 + 15904*t\/3 - 5302\/3.\nAnswer: 2*(t - 1)**3*(t + 2651)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 918689187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -23*c - 183. What is h(-6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/93898 and -173\/126.\nAnswer: 845082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14941 to the power of 1\/2, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 34*r**2 + 31*r + 145. Let k be l(35). Solve 3*m = 4*t + 9, 608 = -k*m + 5*t + 618 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**4\/5 + 10917608*w**3\/5 + 1986570863040*w**2 + 602463372486592000*w + 1204918798707200000 = 0.\nAnswer: -909800, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 2039996.\nAnswer: 6119988","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (0 - (11 - 18) - -4) + -89.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) -4 (b) 44 (c) 5 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let h be n(-2). Let l be 3\/h*4\/(-6). Let m = 4 + -6. Put 4, m, l in increasing order.\nAnswer: m, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g**6\/g)*g**6*g**(-7\/2)*g\/(g**9\/g)*g assuming g is positive.\nAnswer: g**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -6*v + 97. Suppose -v*x + 26 = -14. Let w(s) = s**3 - 4*s - 3. Let g be w(-2). Put x, -5, g in descending order.\nAnswer: x, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (12 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)\/(sqrt(12)*2))\/sqrt(7) + -5)**2.\nAnswer: -5*sqrt(3) + 103\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/15)\/(1\/9). Suppose 6 = -o*p + 21. Let u be ((-4)\/(-14) - 60\/14) + 4. Solve z - p = -u*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -30.5, -0.07?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -184934988 divided by -54?\nAnswer: 3424722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/15)*i)\/(i\/i**(-2\/5)))**(-2\/11)\/((i**4\/i**(-2\/11))\/((i**0\/i)\/(i\/(i\/i**3)))) assuming i is positive.\nAnswer: i**(-1372\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218698, -1749926, -5906156, -13999888, -27343622, -47249858?\nAnswer: -75031096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9515a8 (base 11) to base 10\nAnswer: -1524718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q*q\/(q*q\/(q*q**(-5)))))**(-11\/4) assuming q is positive.\nAnswer: q**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**4\/7 - 6*m**3\/7.\nAnswer: 6*m**3*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-7))\/(429\/(-182))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557805 is divided by 119?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 8. Let d be t(-6). Let b(j) = j**2. Let u(v) = -v**3 + 7*v**2 + 2. Let y(h) = -5*b(h) + u(h). What is the units digit of y(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m\/(m*m**(-2\/9)*m))**(-3\/17) assuming m is positive.\nAnswer: m**(4\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1 - 1, q = -2*j + 82. Suppose 3*n - 8 + 2 = 0, -5*n - j = -5*c. Suppose -52 = -6*y - c. What is the remainder when 17 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 3:37 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 + 0 + 0 + 1 + 2*m. Suppose -5*a + y + 7 = 0, -5*a + 3*y = -8 - 3. Is t(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f + 37 + 41*f - 20*f)*(4 - 6 + 1) + (4*f - 3*f - 3*f)*(0 - 3 + 0).\nAnswer: 4*f - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 360 and 1655?\nAnswer: 119160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 83 + -411\/5. Suppose 4 = -3*p - p. Let q = 31\/230 + 3\/46. Which is the second biggest value? (a) p (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/3 (b) -4\/7 (c) -1\/8 (d) 4 (e) 0 (f) 1.72 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -38395395?\nAnswer: -76790790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/5, 1\/4, -1\/6, -0.9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015993440?\nAnswer: 2, 3, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 307051 divided by 2209.\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200 divided by -8.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/91*(-72)\/(-54))\/(86\/(-301))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 838279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 7 = 2*w + 7, -2*w - 6 = -2*j. Let l be 1\/j - (-19)\/4. Suppose z**3 - 3*z**3 + 3*z + z**l - 2*z = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*f + 3553, 5*f = -5*y + 2538 + 1847. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.50571 + -2.492. What is k rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/7 - (-9 - 650\/(-70)). Sort z, 4, -18, -1.\nAnswer: -18, -1, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/469 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 + 66. Suppose m + 315 = 4*m. Let u = 168 - m. Calculate the highest common factor of c and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -96193, -2\/21, 5, -1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -1\/7 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 495 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let n be r(-2). Suppose -5*j + f - n = -5, -5*f = -4*j + 15. Suppose 0 = -5*w + m + 318, 5*w - 2*m = -j*m + 316. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 378.9004 + -379. Let c = -19.6196 - u. What is c rounded to 0 decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1 (b) 678 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ons when three letters picked without replacement from sonsnss?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/9 + 1\/(-1). Let y = 1.4 + -5.4. Let c = y + 4. What is the second smallest value in c, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101101001000000011 (base 2) to base 7.\nAnswer: 11153453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84700000 to the nearest one million.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**4 + 625997*h*x**2 - 6*h*x + 31796537*x**2 with respect to h.\nAnswer: 4*h**3 + 625997*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450) - sqrt(450))*-1)**2 + (sqrt(1458)*1)**2 + sqrt(72) + 1.\nAnswer: 6*sqrt(2) + 3259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.498 from -11.6.\nAnswer: -14.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + m**5 - 2*m**3 + (15*m**4 - 4*m**4 + 3*m**4)*(-3*m + 6*m - 2*m) + (-1 + 1 + m**3)*(-m**2 + 0*m**2 + 3*m**2).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 27*r**2 - 64*r + 28. Is q(12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t - 3. Let o(w) = -810*w**3 - 36*w + 108. Calculate -3*o(s) - 108*v(s).\nAnswer: 2322*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5.4 (b) 3 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + a + 1. Let v(i) = i**3 - 12*i**2 - 14*i + 6. Let w(j) = -4*j**3 + j**2 - 2*j + 1. Let s be w(1). Let g(z) = s*t(z) - v(z). Give g(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2756150 rounded to the nearest 100000?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from raaarrwaaar?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 19, 13, -15, -77, -185?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r + 0*r**2 + 7*r**2 - r**2 - 2*r**3.\nAnswer: -2*r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.29? (a) -0.0458 (b) 4 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -1 - y + y + 2*y. What is the remainder when z(7) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -94, -50, 30, 152, 322, 546?\n\"Answer: g**3 + 12*g**2 + g - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-1)\/sqrt(8).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 4 = 5*g, -354*f = 5*g - 351*f + 31 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.072527693 rounded to 4 decimal places?\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1919248.4 - -342155.4. Let x = m - -1577094.3700091. Let o = x - 1.37. Round o to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-three halves of a millimeter?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -147*t + 69. Let a = -101 + 94. What is the thousands digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11640 divided by 5820\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 6. Let y be (-3)\/2*(-24)\/(-9). Let z be x(y). Calculate the smallest common multiple of (-3)\/z - 284\/(-8) and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*q + 4*q. Let y = q - -5. Suppose -y - 4 + 5 + f**2 = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2325994 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13386851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 8:51 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 716127 + 0?\nAnswer: 716127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4278 = 28410*x - 28596*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 6144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.07 (b) -4\/5 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - 72\/20 - 24\/(-90). Put b, 3, 0 in ascending order.\nAnswer: 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 179*q + 6814 - 3402 - 1765*q**4 - 3415 wrt q?\nAnswer: -21180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -46. Let x(s) = o + 12 + 39*s + 11*s**2 - 1. Let i(k) = -4*k**2 - 13*k - 6. Let u(v) = 17*i(v) + 6*x(v). Find the second derivative of u(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*sqrt(2) + sqrt(2))**2*5 - (sqrt(450)\/sqrt(9) + (sqrt(10)\/sqrt(125))**2).\nAnswer: -5*sqrt(2) + 2248\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 13*p**2 - 10*p - 9. Let u = 2365 - 2353. Give i(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = 2. Let f be 2\/(-12) + a\/36. Let y be ((-2)\/8 - (2 - 0)) + 1. Sort 2, y, f, 0.4 in descending order.\nAnswer: 2, 0.4, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - 20*m + 21. Let j(a) = -2*a + 31. Let f be j(10). What is the units digit of p(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127213 divided by 23\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2126*w**2 + 4820*w**2 + 678*w**2 - w**3 + 0*w - 3*w.\nAnswer: -w**3 + 7624*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262602 + 485375. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58028662 + 1108.\nAnswer: 58029770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 43*a + 3. Suppose 5*z + 46 = -4*m, 3*z + 39 = 4*m + 5. Let p = 11 + z. Let d be w(p). Which is smaller: d or 47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 467559274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-12\/17)\/(((s\/(s**(-3\/10)*s))\/s)\/s))\/(s**(-8)\/s*((s\/(s*(s**(-1\/11)\/s*s)\/s*s*s))\/s)\/s) assuming s is positive.\nAnswer: s**(24129\/1870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95812.35l?\nAnswer: 95812350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -519*d**3*n - d**2*n - 2*d**2 + 94*d*n - 2*d - 7 wrt d.\nAnswer: -3114*d*n - 2*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6176.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34400?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -2\/57, -1.3?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -775 divided by -5\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 7:09 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10322301320 - -3013?\nAnswer: -10322232301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 372*r + 4296 = -1215 - 7125 - 756 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765902 is divided by 56964.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-4))\/1 + 4. Suppose 4*b + b - 1625 = -x*l, -b + 309 = 5*l. Suppose 4*i - b = 235. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*s + 9. Sort s, 2, 0 in decreasing order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3024)\/(-1728)*2064\/84.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1352 and 520.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24322 + -1230355?\nAnswer: -1255121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(288)))**2 - (1*sqrt(288)*-2)**2.\nAnswer: -863 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 1. Let u = 13\/28 - 5\/28. Which is the closest to -2\/3? (a) 0.3 (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, -2, -106, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1300 and 120?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -187*y - 262 - 606 + 11901 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77237110 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -4 (b) -0.1 (c) 88 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 7534073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/4)\/(-5)*(-392)\/147.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.979038 decades in centuries?\nAnswer: 0.5979038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9\/180 - (1 + (-973)\/35)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.4 and 207382 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(1\/2)*d)**(-4\/9)\/(d*d**3*d*d*d\/d**(2\/19)*d*d*d))**(10\/11) assuming d is positive.\nAnswer: d**(-1780\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -174*q + 2*q**3 + 84 + 6 + 71 + 0*q**2 + 0*q**2 wrt q.\nAnswer: 6*q**2 - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4072971 to the power of 1\/2, to the nearest integer?\nAnswer: 2018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33152093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s. Let u(a) = 255*a. Calculate y(u(q)).\nAnswer: 510*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7556528 rounded to three dps?\nAnswer: -1.756","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3138 is divided by 385?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 14168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*k**3 + 4*d*k*v + 19*d - 212*k**3*v + 3*v - 22192 with respect to k.\nAnswer: -9*d*k**2 + 4*d*v - 636*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -322*d**2 + 69*d - 69. Suppose 0 = -69*p - 3843 - 918. Let l(i) = 23*i**2 - 5*i + 5. Determine p*l(j) - 5*a(j).\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/27 + (-2)\/(-1). Let m = 0.4 - 2.4. Let d = m + -2. Sort d, f, -0.1 in increasing order.\nAnswer: d, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 AM and 1:12 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235\/4 - 59. Suppose -3*m - m = -8. Let k be (-550)\/(-132) - (-2 + 6). Which is the nearest to q? (a) m (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -81. Let d = j - -44. Find the second derivative of 2*q + 9*q**d + 5*q + 2*q wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -692.02 + 583. Let r = -109 - w. Sort -5, 4, r, 2 in descending order.\nAnswer: 4, 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -154 + -551145?\nAnswer: -551343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/86697 or 0?\nAnswer: 1\/86697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380772*h**3 + 842*h**2 - 139*h wrt h.\nAnswer: -2284632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374684 or 5245565\/14?\nAnswer: 5245565\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 962*v. Let m(a) = -22*a**2 + 8*a. Let z(n) = -6*n**2 + 2*n. Let r(i) = -m(i) + 4*z(i). Determine r(j(c)).\nAnswer: -1850888*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 4*k**2 + 16. What are the prime factors of r(-5)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/66*((-4)\/28*138)\/(26\/(-182)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g - 38. Let j be m(-6). Calculate the remainder when 2145\/26 + (-2)\/j is divided by 57\/2 + (-1)\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/4*4\/(-6). Let s(a) = -3 - a + y - 1. What is the units digit of s(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k + 0 - 7 + 3*k - 13 + 11. Suppose 2*c + 2*c - 52 = -2*l, -2*l = 2*c - 22. Let n be (-4)\/6*(c - 6). Determine v(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48656, 48638, 48614, 48584, 48548, 48506?\n\"Answer: -3*q**2 - 9*q + 48668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 33*u - 17. Let k(b) = -b**2 - 8*b + 4. What is -9*k(c) - 2*o(c)?\nAnswer: c**2 + 6*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**6\/720 + s**5\/120 + s**4\/48 + 23*s**3\/6 - 28*s. Let n(i) be the second derivative of q(i). Suppose n(a) = 0. Calculate a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 - 11*i - 6. Let w be l(6). Solve w*g - 3 = -3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -76*r**3 - 4*r**2 - 80*r - 7. Let o be d(-6). Calculate the highest common divisor of o and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4869 = u + 33370, 3*h = -4*u + 17096. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 120*v - 7. Let l(u) = 121*u - 6. Give -5*a(y) + 6*l(y).\nAnswer: 126*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {f: 1, q: 6, j: 7, e: 2, n: 3}.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.003 * -4.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 - 6*u**4 + 3*u**4 + (2*u - 3*u**3 - 2*u)*(-3 + 2*u + 3) + (1 + 2*u**3 - 1)*(4 - 4 - u) + 9*u**2 - 9*u**2 + 6*u**4.\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37470, 74805, 112144, 149487, 186834, 224185, 261540?\n\"Answer: 2*l**2 + 37329*l + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 2, b: 1, y: 2, j: 1}. Give prob of sequence jby.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -2)*(-15 - 5)\/5. Suppose -y + 5*y - p = 17, c = 2*y - 2*p. Solve -y*a = 5, -a - 4*a = -5*t + 30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (1 + 1) - 0. Let z be (-1 - -1) + 21\/(-7). What is the smallest common multiple of 4 and (-6 - x)*3\/z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-4)\/96)\/(50\/48)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2 + 0*i + i)*(3 - 4 + 2)*(2 + 3*i - 2).\nAnswer: 3*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 + 669*q**2 + 36960*q - 37632.\nAnswer: 3*(q - 1)*(q + 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0523 and 29698?\nAnswer: 29698.0523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -15*b**6 - 3*b**2\/2 + 4*b + 62. Find the second derivative of g(y) wrt y.\nAnswer: -1800*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 2583?\nAnswer: 2578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4 = -5*h, z + 2 - 1 = h. Suppose h = 2*w - 6 - 12. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2) + -5 + 12. Let s = -67 - -67.3. What is the closest to -2\/3 in s, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + c + 2 = 5, -2*q + 6 = 2*c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5435, -5488, -5575, -5714, -5923, -6220, -6623?\nAnswer: -7150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 73217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -140 - -149. Calculate the remainder when 13 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1651 - 1645 - (4 + 1)) + -1 + -54\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0, -173, 4, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -826984*s. Let q(h) = h. Determine q(p(y)).\nAnswer: -826984*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-24)\/(-54)*(-15)\/1750.\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*z + 18086 + 7232 = -8837 for z.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*((-8)\/(-2) - (-63)\/(-18)). Is x less than -1\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 80, 119, 184, 275, 392?\n\"Answer: 13*t**2 + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3898 + 3913. Calculate the greatest common factor of v and 8565.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 5*a + 5. Let i(z) = -z**3 + z + 1. Let w be 9\/(0 + 3) - 3. Let c = w + -5. What is c*i(s) + l(s)?\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -6, -0.246, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/6 + x**3\/6 - 43*x**2\/2 + 29*x. Let o(f) be the first derivative of c(f). What is o(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695309 equal to 5695318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15548 and 1840.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*u - 2, -5*v + 9 = 3*u. Let l be 2 + (v - 3)\/2. Let t(q) = -q**2 - q + 2. Calculate t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 8:37 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-3) - 1 - -5. Suppose -5*q = -4 - o. Let n = 3 - q. Let r(c) = 5*c**2 + 3*c + 1. Let g(j) = j**2 + j + 1. Determine n*r(z) - 3*g(z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0 + 0*u**4 + 0*u + 0*u**3 + u**2 + 2\/15*u**5. Let g(o) = -o**2. What is i(g(v))?\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.05 (b) -2\/22595 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 151 = 26*u, -29*a + 25*a - 4*u = -11 + 15 + 92 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.0409072 months?\nAnswer: 0.0001700756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + (-5136)\/396 + 13)*275\/(-50).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/16)\/((-9)\/(-198))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(6\/((-18)\/(-3))).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3*l = -3*d + 6, -5*d - 3*l + 24 = 0. Suppose 5*h - d - 17 = 0. Solve h*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35*u**2 + 95*u + 80. Let d(l) = -5*l**2 + 14*l + 12. Let z(p) = -3*c(p) + 20*d(p). Let o(n) = -n**2 + n. Give -11*o(t) - 2*z(t).\nAnswer: t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -11 + (-6)\/(-30)*54 - 4104\/(-45)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1301\/26 - -657\/13. Let t(g) be the first derivative of 3*g - 1\/18*g**6 + 9 - 1\/5*g**5 + 10\/9*g**3 + o*g**4 - 7\/2*g**2. Solve t(p) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((3 - -4 - 16) + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 277721 and 334.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*s - s. Let u(o) = -2*o - 4. List the prime factors of u(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-27 + -1)\/(6\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 22, 1, 25 in decreasing order.\nAnswer: 25, 22, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*n - 77*n = -610*n - 7092 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**5\/20 + v**4\/12 - v**2\/2 + 33*v. Let a(j) = -5*j**3 - 4*j**2 + 1. Give a(l) + 4*q(l).\nAnswer: -l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58788 and 3?\nAnswer: 58788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4)*-1*4)\/(sqrt(16)\/(sqrt(512)*2)) + -5)**2.\nAnswer: 640*sqrt(7) + 28697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12120121110 (base 3) in base 4?\nAnswer: 122303202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 18 = 2*i - 6*s - 9, -15*i + 4*s = -94 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (12 + 13 + -13 + -122 - 7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -0.5, 0.6, 1\/7, 14 in increasing order.\nAnswer: -0.5, -1\/13, 1\/7, 0.6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/363 and -30\/1573.\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -13*d + 14. Calculate x(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*n**2 - 123*n**2 - 45*n**2 - 66*n**2.\nAnswer: -175*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/5 - 381*q**2\/5 - 3921*q\/5 + 4301\/5 = 0.\nAnswer: -11, 1, 391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 1. Let o(r) = 4*r - 3. Let h(k) = k. Let s be h(-7). Let w = 6 + s. Let a(n) = w*o(n) + q(n). Differentiate a(y) with respect to y.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/3)\/b*b)**(-30)\/(b**(2\/3)\/b)**(-2) assuming b is positive.\nAnswer: b**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 11. Let h be 2*(0 + 12\/8). Let t(r) = -r**2 + 4*r. Let n be t(h). Put n, q, -4 in decreasing order.\nAnswer: q, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8579*h**6 - h**2 + 112*h + 5.\nAnswer: -1029480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 14. Let d = -13 + l. Suppose 4\/7*i - 2\/7*i**d - 2\/7 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.155 + -0.175. Let n = y - 0.27. Let k = n - -1. What is the biggest value in -2, -1, k, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/6)\/(11\/(-3)). Suppose -3*b + 9 = 3. Suppose -3*g - 17 = b*k + 2*k, 0 = -4*g - 2*k - 6. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 481*f**3*m + 2*f**2 - 1175*m wrt f.\nAnswer: 2886*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 2, -8 + 13 = v - 4*x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - ((-3)\/21 + 3\/21). Let z be (-247)\/7 + (h - 46\/(-14)). Which is greater: -34 or z?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + (24 - (-117 - -22)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*p + 38841 = 79*p. Calculate the highest common factor of 7 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 286*w**6 - 8*w**2 + 2 wrt w?\nAnswer: 34320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 3*u + 4*n, -5*u - n = -0*n + 71. Let r = u - -111\/8. Sort 1, -4\/5, r in ascending order.\nAnswer: -4\/5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -326106, 5, 3 in decreasing order.\nAnswer: 5, 3, 2\/9, -326106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - (26 - 8) - (0 + 0).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1851 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 + 64*s + 256.\nAnswer: 4*(s + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2413*r**2 - 38612*r - 59. Determine p(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**2*q*q)**(-2\/71)\/((q\/(q\/(q**(-7)*q)))\/q*q)**(5\/4) assuming q is positive.\nAnswer: q**(1045\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -18*h + 16*h. Suppose 311 = u - h*f + 52, 0 = 3*u + 2*f - 692. Let v = 337 - u. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 202 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3300*r - 1615*r + 4*r**2 - 4*r**2 - 1685*r + 21*r**3.\nAnswer: 21*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -271092, -5, 5, 0, 3 in ascending order.\nAnswer: -271092, -5, -2, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from {t: 2, y: 1, c: 8, s: 2, o: 2, k: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l - 20. Let c be v(-6). Let g be ((-2)\/4)\/(2\/8). Let j = g - -6. What is the greatest common divisor of j and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12618927 to the power of 1\/2, to the nearest integer?\nAnswer: 3552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 69 - 3*c + 2*c as x + n*c and give x.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/5 - 700478308*u\/5 + 61333732497317858\/5.\nAnswer: 2*(u - 175119577)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/8 + -1 - 6244\/624. Let j = i + 168\/13. What is the common denominator of -67\/9 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 253*z**2 + 18*z - 21. Let c(t) = 128*t**2 + 8*t - 10. Give 7*c(q) - 3*f(q).\nAnswer: 137*q**2 + 2*q - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11\/6))**40 assuming t is positive.\nAnswer: t**(-220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10620.\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1) + 96\/(-27) + 2?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**3\/2 - 11445*l**2\/2 + 51603*l - 80304 = 0. What is l?\nAnswer: -3824, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = -3*y - 2*f + f, 5*y - 3*f - 898 = 0. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -7. Let j = f - -7. Suppose j*t = -0*t. Solve -a - 5 = -t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/1012921 and -32\/105.\nAnswer: 15193815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-4)\/(-6) + -122. Let g = w + 126. Let -12\/11*l - 14\/11*l**3 + 46\/11*l**g + 0 = 0. What is l?\nAnswer: 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 11 = 51407*u - 51404*u, 52 = 6*u - 2*d for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 3*u + 7, -2*z - 2*u - 7 = -u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.2 in -143\/15, 1\/2, 4\/3, -2?\nAnswer: -143\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8717707 rounded to one dp?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -4*t + t - 5, -7 = 5*b + t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*r = -911*r + 1828*r - 5, -5*r - 5 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -393649064*q**2 + 84177*q + 4545558. Let x(a) = 9353*a**2 - 2*a - 108. Determine -2*t(i) - 84177*x(i).\nAnswer: -9353*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 - 240. Put -10, 3, j in descending order.\nAnswer: 3, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + -142?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 9:00 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z + 161247 + 457443 = -666630. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3*g**2 - 2*g**2 + 4*g**2)*(0 - 1 - 1) - g**2 - g**2 + g**2)*(137*g - 137*g - 61*g**2) to the form a*g**3 + u*g**4 + v + b*g + c*g**2 and give u.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 6*i + 8. Let q be d(6). Suppose -3*p + q = -1. Let z = -19 + 28. Solve p*m + 0 + z = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 84.53022ml?\nAnswer: 0.08453022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0 - 5. Suppose d = -b - 15. Let l = 4 - b. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 5 = -50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/61194 and -61\/161.\nAnswer: 1407462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(1\/2)\/(t**0*t))\/((t\/(t*t*t**(-3\/2)))\/t**12))**10)**(-1\/13) assuming t is positive.\nAnswer: t**(-110\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3681, -14690, -33029, -58692, -91673, -131966?\nAnswer: -179565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 15770630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-45) + (-92742)\/45. Let d = u + 3945. What is the hundreds digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 195531 is divided by 6983?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Let f be 1\/3 + 154\/r. Suppose 3*g - 67 = f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3214305, 3214286, 3214263, 3214236?\n\"Answer: -2*b**2 - 13*b + 3214320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-27) + (-4)\/(-6). Which is the nearest to -2\/3? (a) 2\/17 (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 707517 (base 9) to base 16\nAnswer: 66433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-26)\/(-728)))\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**3 + 169*k**2 + k - 223. Is n(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/p**(-1\/2)*p*p)\/p*p*p*p*p*(p*p**(-1))\/p)\/(p**1\/p)**(9\/5) assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154881191?\nAnswer: 173, 617, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - 4?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - -5) + 793\/13. Let k = d + 544. List the prime factors of k.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 3:35 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from ttqcrrrrrqrqt?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 + 1146*a - 19978. Give h(19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from mwwmwwwtwtwwwwwwmw?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -21. Let j = l - 4. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -16*(-28)\/72.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -246*h**5 - 148*h - 2 wrt h?\nAnswer: -4920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 11620\/612 - (-530)\/53.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 50173099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 + -20. Suppose -5*n + 5*j = -155, 116 = 4*n - 0*n - 2*j. What is the highest common factor of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-8) + (408\/(-32))\/(-17). Solve 2*v = 3*x - 5, -s*v + 7*v - 30 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 42. Let q be l(0). Suppose 14 - q = -i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 50*r + 46*r - 3, -6*t - 20*r - 23 = 87 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16387694 is divided by 26821?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*b - 215. Let k = -23 + b. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**5 - 205*c**4 - 4075*c**3 - 7975*c**2 + 55370*c - 43120 = 0 for c.\nAnswer: -11, -7, 1, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2512*(-12)\/(-10). Let l = 16\/157 - v. Find c such that 5\/2 + l*c**3 + 3\/2*c - 9\/10*c**2 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crcmjjjj. What is prob of sequence mcjr?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164327197, -164327187, -164327163, -164327119, -164327049, -164326947?\nAnswer: -164326807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0 + 2*d - 17\/2*d**2 + 5\/6*d**3. Let n(f) = -f + 3. Let o(r) = -34*n(r) - 6*s(r). Let u(a) = -a**2. Calculate o(u(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 c when three letters picked without replacement from luucukuffuulkl.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4051 + 7523. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4417, -2.\nAnswer: -2, 2, 4417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 432794071 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llaalllllll. Give prob of sequence ala.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*q - 5*k - 35 = -590*q, 2*k = 4*q - 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let y(i) = 11*i**2. Let q(n) = -5*u(n) - y(n). Let w(b) = b + 11*b - 16*b. What is q(w(c))?\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-13 - -1)\/(-10 - -12) + 21. Sort -1, -2, -4, c in descending order.\nAnswer: c, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -1. Let h(t) be the first derivative of -t**2\/2 + 3*t + 1. Let w(k) = -h(k) - 3*u(k). Let r(v) = 4*v. Give w(r(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5184 and 448?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*p - 14 = -4*p, 3*k - 32 = 5*p. Suppose -k*m + 12 = 3. Let d(c) = -8*c**2 + c. Give d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Suppose -9 - 11 = -4*i. Suppose 83 = 4*p + 5*t, -i*p + 3*t + 80 + 33 = 0. Calculate the remainder when p is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - -3) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zee when three letters picked without replacement from eeuzuezex?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-540)\/50)\/(6\/(-20)). Let i be (-8 + v)*(-6)\/(-4). Suppose -p - p + i = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a*a**(-1)*a)**44)**(-26))**(2\/147) assuming a is positive.\nAnswer: a**(-9152\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 - 22 = 36*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 30. Let g(y) = y**3 + 5*y**2 + 3*y - 1. Let s be g(-4). Let m = 0 + s. Which is the biggest value? (a) -1\/4 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/5)\/((-113)\/(2825\/(-15))))\/32?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3 - 3, -4*o - 23 = -5*d. Suppose -2*i + 16 = 2*r, -r + 1 + d = -3*i. Solve 0 = r*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(2\/9)\/s)\/s)\/(s\/(s*s*((s**(-12)\/s*s*s*s)\/s)\/s*s)*s*s))**43 assuming s is positive.\nAnswer: s**(-5332\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 977 = 62*l + 2155 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k + 5. Let f(n) = -n + 1. Let l(i) = 3*f(i) - p(i). Let v(z) = z**2 + 6*z - 12. Let c(x) = -6*l(x) + v(x). Let b(a) = -107*a. Give b(c(s)).\nAnswer: -107*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 6. Calculate w(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v - 883. Determine k(67).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.03 + 1.1. Let p = -0.03 - n. Sort -0.5, p, 2\/23 in ascending order.\nAnswer: -0.5, p, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13785, 25800, 37815, 49830, 61845?\n\"Answer: 12015*k + 1770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19227.2342 and 875?\nAnswer: 18352.2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35956 is divided by 3592?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/20)*t*t\/t**(2\/17)*t**(-5)*t\/((t\/t**(-19\/4))\/t) assuming t is positive.\nAnswer: t**(-1159\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 4*k + 22, -8 = 97*t - 101*t + 5*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-1\/6)\/a)\/a**(-1))**(2\/11))**(12\/13))**(-1\/18) assuming a is positive.\nAnswer: a**(2\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/5 + 302*i\/5 - 22801\/5 = 0. Calculate i.\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13a - -26ba?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/(-16)*((-48)\/(-9) + -4). Suppose f*h = h. Solve -2*s = -z + 3*z + 4, 3*z = h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, j: 2, p: 3, v: 4}. Give prob of picking 3 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.5 + -0.928.\nAnswer: -9.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 10*a**2 - 9*a. Suppose -7*v + 23 = -40. Let t(z) = 5*z**2 - 4*z. Let f(o) = v*t(o) - 4*n(o). Let i(u) = 21*u**2. Determine -9*f(h) + 2*i(h).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8074?\nAnswer: 2, 11, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 8*x - 7. What is the remainder when s(8) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2)*m)\/m*m*m**(3\/8))\/(m\/(m\/m**(-3\/5))*m**(-2)))**(-1\/27) assuming m is positive.\nAnswer: m**(-79\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-74*n + 71*n - 107*n)*(-16 + 30 + n + 2) as c*n + l + r*n**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1458*w**4\/7 + 14033682*w**3\/7 + 4158032*w**2\/7 + 44000*w = 0.\nAnswer: -9625, -4\/27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 11\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 41 = -61 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 50720100 to the nearest 100000.\nAnswer: 50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 65*d**2 - 12*d - 11. What is f(-1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5653501 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(0 + 3)*-21. Let c = 6 + k. Put c, -3, -5 in descending order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -25.000009. What is n rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 2 - 0. Suppose 4*q = 57 - l. What is the highest common divisor of q and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102759 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 501285073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238733?\nAnswer: 11, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8285*q = -8281*q - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let z be s(3). Let m = z - -13. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + -1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-1680)*100\/30*((-6)\/(-8))\/3?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 850511944?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from nvnvnvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 493627495 a multiple of 943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -234, 4, 3, 8, 2, 11.\nAnswer: -234, 2, 3, 4, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/40)\/(-1*2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsmjmdsh. Give prob of picking 1 j and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64879?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4115827, 8231316, 12346805, 16462294, 20577783?\n\"Answer: 4115489*u + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -79*l**3 + 3*l + 2. Let q = 36 + -37. What is the units digit of b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(66))\/sqrt(6) + 1 + 1*sqrt(11).\nAnswer: -3*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 6:09 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 5*q = 2*b - 12, 3*b + 9 = 5*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*d - 19, -m + 5*d - 20 = -0*m. Let t = m - -14. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 72*h + 219*h + 3 + 1 - 21*h**2 - 287*h. Let s(v) = 650*v**2 - 125*v - 125. Determine 125*f(p) + 4*s(p).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 7*((-575)\/(-50) - 11 - (-1041)\/14)?\nAnswer: 3668","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15 - -52) + (-8)\/(-2). Let g = -80 + w. Let b = 41 + g. Solve -16 = -b*k - 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30844 - 9835. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 67 - 11 = 0. Let s(z) = -5 - 6*z + 2 + h*z - 6. Calculate s(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5347 to 2 dps.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21\/2312 + 1441385\/16184. Let o = f - 177\/2. Let i = 130 - 129. What is the closest to -1\/3 in -1, i, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32740000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c\/c**(-1\/18))\/c*c**(-1\/5)*c**(1\/3)*c*c**(1\/4) assuming c is positive.\nAnswer: c**(439\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6119\/4 - 1529. Solve 75\/4 + 15\/2*s + c*s**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*t - t + t)*(-2 + 2 + 2) + (1683 - 1683 - 7*t)*(-5 + 3 + 4))*(-3*t - t**3 + t**2 - 2*t**2 + 5*t).\nAnswer: 6*t**4 + 6*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-154)\/(-20) - (-1)\/(-2). Let f = j - 33\/5. Let x = 3 + -2.5. What is the second biggest value in 0.3, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1066 + -1079. What is the nearest to -0.1 in o, -0.4, -5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 116\/28 - 4\/28. Let x be u\/6*(-27)\/(-6). Solve x*w - 8*w - 21 = -4*y, 4*w - 4*y + 20 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 2330 - 13712 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198912847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4240068 and 840.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*t**5 + 12626*n*t**3 + n*t**2 + 1168*n*t - 19*t**4 + 145*t wrt t?\nAnswer: -120*n*t**2 + 75756*n - 456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.00311 - 30\nAnswer: -29.99689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -26.7. What is the second biggest value in 11, 0.4, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5 + 8*p**4 - 118*p**3 - 152*p**2 + 621*p - 360 = 0 for p.\nAnswer: -15, -3, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15844 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-126)\/(588\/28) - (10 + (0 - -2)). Sort -2, j, -36 in ascending order.\nAnswer: -36, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/120 - 3*x**5\/20 + 3*x**4\/8 + x**3\/3 - x**2. What is the tens digit of y(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-4 + 48 + -19)) + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 - -0.35. Let z = 2.15 - p. What is the nearest to -2 in 3, z, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -33 - 226*s**3 + 427*s**3 + 66*s - 221*s**3. Differentiate v(j) with respect to j.\nAnswer: -120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + q + 4. Let p be g(-6). Let y = -105 - -66. Let n = y + p. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = r - 5. Calculate the common denominator of ((-185)\/35)\/(-1 - 1) and ((-238)\/36)\/(2 + r).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 13693*d = 13692*d - 3, -19*b + 48 = -5*d + 2*d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x**2 + 8*x. Let u(a) = -6*a**2 - 8*a + 3*a + 4*a**2 - 7*a**2. Let r(b) = -8*u(b) - 5*y(b). Let h(i) = -i**2. Calculate r(h(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*p = p + 1322, 3*d - 1304 = 5*p. Calculate the lowest common multiple of 2 and d\/27 - 6\/27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3603775 is divided by 5163.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1507837um in centimeters?\nAnswer: 0.00001507837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**6\/70 + 31*r**5\/105 - 29*r**4\/21 + 16*r**3\/7 + 333*r**2. Solve m(q) = 0.\nAnswer: -12, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-2 - -3 - 2). Suppose 5*k - 5*z - 15 = 0, -z - z - 8 = 0. Let j be 14\/(-8) + (1 - k). Which is smaller: j or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-17)))\/o)\/o*o*o**(-33) assuming o is positive.\nAnswer: o**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 15 = 5*o - 23, 32 = 3*o - 4*b. Solve o*p + 5*w - 12 = -p, 4*w = 3*p + 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.118.\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1363 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2831933417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, 0.1, -15, -59\/4?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4802 is divided by 1200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 10 = 2*l, -2*l = 2*d - 2 - 6. Let a be (-5 - (-34)\/6)*l. Solve h - a*r = 2*h + 16, -2*r = -4*h + 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -44. Suppose y = 2, 5*y = q*o + 30 - 198. Is 38 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30383299 <= -30383278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63271 is divided by 3721?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 534845121709.\nAnswer: 534845121715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/19 + 11240*n\/19 + 90048\/19.\nAnswer: -2*(n - 5628)*(n + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/11 or -1\/5?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, -308, -1319, -3266, -6461?\nAnswer: -11216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 633, 623, 607, 579, 533, 463, 363?\n\"Answer: -l**3 + 3*l**2 - 12*l + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390.336 + -116.534. Let k = -513.1602 - t. Let g = k - -6.3. What is g rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.489373 hours?\nAnswer: 29.36238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76\/7*z**3 - 256\/7 - 48*z**2 - 6\/7*z**4 + 576\/7*z.\nAnswer: -2*(z - 4)**3*(3*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/(-14))\/((-21)\/(-130438)). Suppose 0 = 10*n - 43*n + b. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 368*g**2 + 151*g**2 - 16*g - 15*g + 30*g - 1. What are the prime factors of d(1)?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 75 + -60. Suppose -14*l + t = -11*l. Solve 0 = -3*j - 4*p + 4, l*j - 15 = -p + 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503837965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(27)*1)**2*-1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111212133 - -31?\nAnswer: -111212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 10*u**2 - 13*u + 16. Let d be i(11). Let b be (2 + 27\/d)*(-1 + -1). Suppose b*q - 31 = 64. What is the remainder when 34 is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-132) + (-1989)\/4290\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17488991, -34977987, -52466983, -69955979?\n\"Answer: -17488996*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - p + 3. Let n be o(0). Let k(m) = 103*m**2 - 4*m + 3. Let f be k(n). Suppose 3*l + 108 - f = 0. Round l to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 1274*p**2 + 1271*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -10. Let t(i) = i**3 - 4*i + 3. Calculate the least common multiple of w and t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 14*c**2 - c - 20. Give v(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**4\/3 - v. Let d(y) = y**2 + 7*y + 2. Let r be d(-7). Let o(u) = -u - 2*u**2 - u + r*u. Calculate g(o(p)).\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 9*a + 8. Let s(t) = -2*t**2 - 18*t + 17. Let v(w) = 11*o(w) - 6*s(w). Give v(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 747781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -m + 6 - 1, 3*g + 13 = -4*m. Let b(d) = -632*d**3 + 4*d**2. Let x be b(g). What is x rounded to the nearest one thousand?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3*3\/27*1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 36*t**2. Let r(v) = 1315*v. Determine r(k(d)).\nAnswer: 47340*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 366639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6039822 or -2\/9?\nAnswer: 6039822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 8:01 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8816457 - 8816457 - 214*s**2.\nAnswer: -214*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 21) + -4 + 5 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 193 = 48*l. Solve -5*z - 25 = 5*g, 0*g = -l*g + z - 15 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8214279, 16428569, 24642859, 32857149, 41071439?\nAnswer: 49285729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.64 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.96 + 3.8. Round b to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 707 divided by -8631\nAnswer: -101\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-6) - 28\/(-72). What is the third smallest value in -3, y, 2\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -147.3 + 159. Let d = 11.70001485 - c. What is d rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.005 <= -158.67827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 78981 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: What is the next term in 266, 1077, 2434, 4343, 6810?\nAnswer: 9841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111\/2 - 449\/8. Suppose -49 = -5*a + 3*w, -3*a - 5*w + 21 = -4*w. What is the common denominator of p and (-16)\/60*(-21)\/a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*j + 6*j. Let g be 207\/j + (-2)\/2. Find the first derivative of g - 29*m**2 + 42*m**2 - 7 wrt m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + d**3)*(359*d - 8*d + 91*d) to n*d**3 + v*d + w + y*d**2 + h*d**4 and give h.\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 67, 97, 125?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1\/(-4)*-17)\/((-1)\/(-28)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3179 - 923 = 69*j - 22*j. Let z(d) = -732*d**3 + 48*d. Let q(c) = -77*c**3 + 5*c. Give j*q(y) - 5*z(y).\nAnswer: -36*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 14*p - 397. Determine v(26).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brbrbrccbg. Give prob of picking 1 c and 1 g.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*q**4 - 17*q**2 + 44*q**2 - 14*q**2 wrt q?\nAnswer: 648*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2103, 3508, 7191, 14250, 25783, 42888, 66663?\n\"Answer: 183*l**3 + 41*l**2 + l + 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(867\/(-119)) + (2 - 7\/(-1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 8*d + 5. Let v be (-17)\/(-2) + (-4)\/8. Let w be n(v). Suppose -4*r + 59 = 2*q + w, 0 = -5*q - 5. Solve 0 = -5*a - r - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bez when three letters picked without replacement from {r: 3, e: 3, n: 2, y: 1, z: 3, b: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65457 and 1916955.\nAnswer: 13418685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 537 + -312. Suppose -3*z = 2*z - b. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*k**2 + 63972*k - 15992.\nAnswer: -4*(k - 3998)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -121130 + 4.\nAnswer: -121126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-4)\/(-4)*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -24 + -40?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67593*u**3 - 1469*u**2 + 1469*u**2 - 67581*u**3.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from tfttftftfttftfuff?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p**3 - 215*p**2 + p + 23. What is the thousands digit of i(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 60. Give b(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6335*g**3 + 10527313*g - 10527313*g.\nAnswer: -6335*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/11)*o\/o**(-5)*(o*(o\/o**(-8)*o)\/o)\/(o\/o**(-9)) assuming o is positive.\nAnswer: o**(65\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 6*w**3 - w**3 - w**3 + w + 7*w**3 to the form t*w + s*w**3 + a + u*w**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12876006 divided by 2.\nAnswer: -6438003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 410, 404, 404, 416, 446, 500, 584, 704?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290522192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 15. Let x be o(11). Suppose 2*w - 49 = -17. Solve -4*i + w = x*z, z - 2*i + 4*i = 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 603*q + 1207. Is 160 a factor of n(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 98950.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 4*v - 1. Suppose 48 = 5*b - 2. What is the lowest common multiple of j(2) and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1467 and 56\/489.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7759630019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 2*x + 32. Let y be i(-14). Factor -16*r + 0*r - 103*r**3 - 80*r**2 + y*r**3 - 165*r**3 - 16*r**4.\nAnswer: -4*r*(r + 2)**2*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yam when three letters picked without replacement from ayamm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 548256?\nAnswer: 548256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835 = -3*t + 2*t. Let m = 1170 - t. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6.577.\nAnswer: 13.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*p + 727 - 535. Calculate the highest common factor of 128 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -229.1138991 rounded to the nearest ten?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*i + 4, 0 = 4*i - 4 + 8. Solve -13*w + 10 - 10 = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j**2 + 5*j + 3. Let h = 3 + -6. Let y(t) = -t + 114687*t**2 - 114688*t**2 + 5 - 4 - 2. Let m(b) = h*y(b) - p(b). Factor m(s).\nAnswer: -2*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 44*s**2. Let r(h) = -107*h. Give r(b(c)).\nAnswer: -4708*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 139 = -15*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 q, and 2 s when four letters picked without replacement from qqsqssuusqssss?\nAnswer: 32\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10386945 and 9585?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-15)*-1*(-20)\/(-8)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*c + 2*y, 5*c - 4*y - 17 = 0. Let z = 0 - c. Is 13 a factor of -3 - (-18 - z) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22734309 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -65. Suppose j*h + 26 = 41. Solve -13 + 3 = -h*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + f**4 + 3 - 3 + (4 - 1 - 4)*(-68*f - 19*f + 84*f + 54*f**2)*(-4*f**3 - f**3 + 3*f**3).\nAnswer: 106*f**5 - 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 10:34 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + b = 3*i - 23, 4*i = 2*b + 16. Suppose 2667 = 4*j + i*v, 666 = -0*j + j + v. List the prime factors of j.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = -3*a + 943. Calculate the lowest common multiple of 143 and a.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-5) + 2\/(-5))\/2. Let m(s) be the third derivative of -1\/10*s**5 + 0*s**4 + 0*s + o + s**3 - 3*s**2. What is the derivative of m(t) wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089518299 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Let u be ((-1)\/6)\/((-2152)\/(-144) + -15). Solve 1\/4 + 0*m**g + 1\/2*m**u - 1\/4*m**4 - 1\/2*m = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10301321 + -11?\nAnswer: -10301332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 364*l**3*q**3 + 14039*l**3 + 2*l**2*q**4 wrt q?\nAnswer: 1092*l**3*q**2 + 8*l**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 7:13 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 22*b + 70. Let y be o(-25). Is -53\/12 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by 7415?\nAnswer: 328\/7415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**10)\/(j\/j**(-3\/4)))**(-36)\/((j\/(j\/((j*(j*j*j\/((j\/(j**(-2\/5)*j))\/j))\/j*j)\/j)))**(1\/54)\/(j**(1\/7)\/((j*j**(-1\/4)*j)\/j*j))) assuming j is positive.\nAnswer: j**(161837\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 3*t + 23 = 4*t + 4*t, 4*g + 55*t - 52*t + 7 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -640*w - 7095. Determine m(-11).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 5*p - 7*p + 3 = 0, -4*a - 4*p + 12 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdnfbubfbndfbnbfff. What is prob of sequence nb?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 8*b = 119*b + 390 - 9 + 2846, 4*b = -4*c - 124 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 3, u: 3, a: 1, e: 5, i: 1}. Give prob of picking 1 a, 1 e, and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-307 - (119 - 396)) + (-1 - -152)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -27578*v + 165410. What is f(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*-2*4\/8 + 70. Suppose s = 3*a - 1336. Suppose -a + 2110 = 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 35\/7 + (-101)\/(-1). Let p = n - 107. Which is smaller: p or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3090362 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5 (b) 4 (c) 2\/3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*s**2 + 837*s**2 + 93*s**2 + 96*s**2 - 1214*s**2 + 103*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0, -1, -10.7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-42) - (-3)\/(-21). Let j = -7 - -10. Suppose 4*i = h + 16, -i - j*i = h - 16. Solve -x + d - i = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -598, 0.4, -5.\nAnswer: -598, -5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 258046 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(3\/8))\/c*c\/c**1*(c\/(c*(c*c**1)\/c*c*c))\/(c\/c**3))**(5\/2) assuming c is positive.\nAnswer: c**(-55\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 + -511\/8. Let h be (3\/(-6))\/((-88)\/96*3). What is the nearest to -1 in -2\/15, h, p?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 10*q + 21. Give f(-8).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 18*o - 11*o. Suppose 10 + o = 7*j. Solve 6*u - j*u = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**2 + 0*k**3 + 3\/5*k**5 + 0 + 17*k + 5\/4*k**4. Find the third derivative of j(m) wrt m.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 0.3 (c) -2\/29697\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.09395*1\nAnswer: 0.09395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -26. Let z(p) = p - 6. Let r be z(g). Suppose r*o = 5*y + 10, 5*o + 0*y = 3*y + 2. Which is the third biggest value? (a) 0.3 (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*w + 4505 = -0*w, 0 = -2*p + 2*w - 3000. Let u be (-6)\/6 + p\/(-1). Suppose 0 = 4*f - 4*b - u, 3*f + 1511 = 7*f + 3*b. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 2*q + 5*q - 13.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 11) in base 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + sqrt(288) + 1).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2170*y - 492 = -2129*y for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**2 - 5*i**2 - 2*i - 15*i**2 + 3*i in the form m*i**2 + f*i + y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (-45 - (-102 + 7)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -107592 divided by -350?\nAnswer: 53796\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k + 34*k - 4*k - 20*k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from tfffftff?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -163*d - 23*d**2 + 163*d + (-5 + 2 + 2)*(2*d**2 - 1 + 1) as g*d**2 + s*d + i and give g.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -237 (b) 38\/773 (c) 5 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 7:09 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*v - 4*y, 2*y - 2 = v - 7. Let r be (-4)\/14 - (-88)\/14. Suppose -3*g + g + r = -z, -2*z + 12 = 2*g. Sort z, v, 5 in ascending order.\nAnswer: v, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 144 = 7*i, 10 = 1046*t - 1051*t + 2*i + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 16*l - 5. Let q be u(16). Let j = q + 8. Solve -4*k - 9 - 9 = -5*z, j*z - 2*k = 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121761774960438383\/217360 + -560184831435. Let k = h + -15\/2717. What is the common denominator of k and -79\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/(-6) - (-5798)\/669?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 1. Let d(l) = 3*l**2 + 2*l - 2. Let x be d(-2). Determine w(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 6. Let o(p) = p**3 + 4*p**2 + p + 6. Let v be o(-4). Let j be z(v). Sort j, 0, -3.\nAnswer: -3, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8)\/(45\/4).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24159*d + 24154*d + 3*c + 11, -d + 5*c = 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42 + 62*r + 42.\nAnswer: 62*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52428 is divided by 2648.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6*v**3 - 427*v**2 - 7683*v - 13. Let j(t) = -t**3 - 7*t**2 + 2*t - 1. Let z(d) = f(d) - 15*j(d). Find the second derivative of z(b) wrt b.\nAnswer: 54*b - 644","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*i = -2*z - 7, 0 = 5*i - 5. Suppose z*k - 1695 = 2*w, k - 175 = w + 167. What are the prime factors of k?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/6)\/((-28)\/(-16)). Let a = l + 37\/35. Let y = -2 + 1.5. What is the second biggest value in 1\/12, a, y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1314444103 (base 5) to base 9.\nAnswer: 6150805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -20, 791 in increasing order.\nAnswer: -20, 4, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 + -39. Suppose 34 + 72 = 53*y. Let i = 2 - 2. Solve -2*l = -y*p, i*l - 3*p = -l - t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1365425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 9*t + 90. Calculate the remainder when t is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 90*h. Let t be d(-2). Let u = -49 - t. What are the prime factors of u?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -60, -74, -88, -102, -116, -130?\n\"Answer: -14*d - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x + 2*x + 10 + 1 - 5. What is the lowest common multiple of y(-2) and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785400 divided by -6545.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(-11)*v)\/v*v)*v)\/v)\/v*v)\/v*v**17*v*(v**(-41))**(11\/3) assuming v is positive.\nAnswer: v**(-367\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28918.\nAnswer: 2, 19, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1078553707?\nAnswer: 7, 11, 1273381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16378.\nAnswer: 2, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffzzffzffzfzzfzzj. Give prob of picking 2 z and 1 f.\nAnswer: 28\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 570127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -33\/4. Which is the second smallest value? (a) 0 (b) 2 (c) g (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240\/(-60)*(-12)\/4?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4409*y - 4 + 5 - 1056*y + 4754*y**2 - 4753*y**2 to g*y**2 + i + a*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -14 - (0 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/5481999 and -16\/2079.\nAnswer: 422113923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*5\/35*14*1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 137*h + 31*h + 17 - 1 to the form m + p*h and give p.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 g, and 2 t when four letters picked without replacement from gtglzgzttqlcqz?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5\/4, -141, -1.7, 4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 13*p**3 + 16*p + 7. Let c be (0 - 6\/2) + 1. Let f(l) = 2 + 4*l**3 + l - 15*l + 10*l + 0 + 9*l. Determine c*t(a) + 7*f(a).\nAnswer: 2*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/10)\/(2\/(-6)) + -2. Let h be 2\/4*4\/10. Let w = -12 - -7. What is the second biggest value in h, w, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3380 = 113*l - 165*l. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2 + 4512*p**3 - 9014*p**3 - 237 + 4502*p**3 - 14*p**4 wrt p?\nAnswer: -56*p**3 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15121, -15363, -15773, -16357, -17121, -18071, -19213?\n\"Answer: -w**3 - 78*w**2 - w - 15041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1400*t + 77 = 1389*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 6. Suppose -9 = o - 3*n - 26, 3*o = 4*n + 66. Suppose 0 = 4*l + 2*a + 148 - o, -2*a - 6 = 0. Let z = -34 - l. Determine q(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137088.3mg in kilograms?\nAnswer: 0.1370883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -25*g - 1. Let d(w) = -6*w + 1. Calculate p(d(l)).\nAnswer: 150*l - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 2. Let j be l(5). Let s be (-4)\/(-16) - 14\/j. Suppose 4*n - 38 = -s*i, 4*n - 2*i - 24 = 18. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53312 + 2?\nAnswer: 53314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/34899 (b) -1\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v. Let s(c) = -68*c**2 + 11*c**2 + 30*c**2 + 20*c**2. Calculate s(n(d)).\nAnswer: -567*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 15. Suppose 11*v - m*v - 1872 = 0. Suppose 24 - v = -5*o. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**4\/6 - 2*x**3\/3 - x**2 - 12*x. Suppose 36*l + 38 = -70. Give k(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -17. Suppose v = -3*a + 166, 3*v - c*v + 119 = 2*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/5 + 82*y\/5 + 84\/5.\nAnswer: -2*(y - 42)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 10*g - g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**3 + i**2 - 2. Suppose -5*v + y + y = -16, 4*y = -5*v - 2. Let c be (32\/(-8))\/(v + 0). Is n(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 11 - 63\/(-1575)\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) 1 (c) 5 (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -57*b**2*d**3 + 8620*b**2*d - 12*b**2 - 730437*d**5 + 2*d**2 - 37 wrt d?\nAnswer: -342*b**2 - 43826220*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 (base 15) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 1, 2, 0 in increasing order.\nAnswer: -224, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajqjqajjajqaaaajqja. Give prob of sequence ajaq.\nAnswer: 224\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/654736 and -55\/43488?\nAnswer: 11785248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1153 + 1156. Let l be 2\/4 - 6\/(-4). What is the second derivative of 14*c - l + 3*c**4 + 2 - z*c wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33285806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 100 - 36 = 0. Let r = -8 + n. Find the common denominator of -26\/9 and (-6)\/(2 - r\/3).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 489444 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2524, -5047, -7570, -10093, -12616, -15139?\n\"Answer: -2523*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2145*p - 21. Let m(t) = 1072*t + 11. Let r(q) = -3*i(q) - 7*m(q). Suppose 0 = 3*g + 4 + 14. Let h be r(g). Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33 - 39 - (1 + 0 + 1). Let k be (-1)\/(2\/z) + 0. Suppose k*y + v + 84 = 5*y, -v + 168 = 2*y. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11\/176 - (-1235)\/208. Solve 21 = -18*n + 15*n + 3*v, 3*n = -2*v - o for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102865157 * -1\nAnswer: 102865157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:09 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1124*s + 1313*s + 2 + 0)*(-4 + 3 + 2) + 2*s + s - 4*s in the form p + h*s and give h.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4714 - 7434. Let z = 2703.89 + x. What is z rounded to 0 decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21311*m = -21329*m + 36. Factor 0*j + 3\/5*j**4 + 0 + 0*j**m + 3\/5*j**3.\nAnswer: 3*j**3*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-9 + 0 + 26)) + -9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68433727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -165, -254?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 11. Suppose 2 = 4*h - 3*h. Let z(b) = -5*b - 11. Let t(l) = h*c(l) + 3*z(l). Let f(g) = 4*g + 10. Let r(d) = -2*f(d) - 3*t(d). Calculate r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36.17 - -36. Let s = -0.83 + j. What is the nearest to 0.2 in -1\/4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -14. Let f be ((-33)\/9)\/(3\/18). Let l = -16 - f. What is the least common multiple of v and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116122?\nAnswer: 2, 58061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67155 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o**(1\/6)\/o*o*(o**(-1\/2))**(4\/39))\/(o**(-5)*o*o\/o**(-2)*(o**(4\/3)*o)\/o*o*((o**(1\/10)*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-257\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 6569, -0.5?\nAnswer: 6569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/3 - -4. Let z = -29 - -24. Which is the closest to 1? (a) z (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 241. Let o(a) = -a. What is o(l(f))?\nAnswer: 2*f**2 - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 356347 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 23*o**2 - 124*o - 44. Give w(-15).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 20 = -n + 3*n, -20 = -4*n - 4*y. Solve -2*m = 6*s - 2*s + 18, n = -2*s - 5*m - 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29.5 (b) -2.1 (c) 0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 11:58 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(832) + 2)*-1)**2*6 + 3.\nAnswer: -10029 - 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.6 + -8.7. What is the nearest to 2 in m, 1, -0.2, 1\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**2 + r + 4. Let b(k) = -3 + 0*k - 68220*k**2 + 68215*k**2 - 2*k + k. Give 5*b(l) + 4*i(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (10 + -7 - 3) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 2*v. Let z be (-4)\/(-48) - v\/(-12). Let -1\/3*n**4 + 2\/3*n**2 - 1\/3*n**5 - z + 2\/3*n**3 - 1\/3*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 431805490 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 47242*i + 7. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/20))\/j*j)**(-2\/41)*(((j**(-3\/11)\/j)\/j)\/j)\/j**20 assuming j is positive.\nAnswer: j**(-105191\/4510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 8*t**2 - 49*t + 384. Calculate x(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 7, 2, 1, -10.\nAnswer: -10, -3, 1, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04611 minus 9360830?\nAnswer: -9360829.95389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 87 - 25. Let u = b + 30. Suppose -v + 5 = 4*l - 3*l, 0 = 5*v - 4*l + 2. Solve -m - 3*m - u = v*n, 11 = -5*n - 4*m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 o when four letters picked without replacement from cnoojojojn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 480\/13*s**2 + 672\/13 - 2\/13*s**4 - 72\/13*s**3 - 992\/13*s.\nAnswer: -2*(s - 2)**3*(s + 42)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000236446714 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1941\/4 - 4871\/10. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g - 3*g - g**3 + (269*g - 3 - 143*g - 137*g)*(0*g - g**2 + 0*g) in the form n*g + f*g**3 + b + k*g**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d - 4. Let b be g(4). Suppose 0 = -2*k + 2 + b. Suppose 3*z = -5*r + 10, -1 = 2*z - r - 12. Calculate the highest common divisor of z and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3430.89 rounded to the nearest ten?\nAnswer: 3430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**2\/5 - 10065663*t - 50328318\/5 = 0. What is t?\nAnswer: -1, 16776106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-9) + 7\/((-7)\/(-3))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3 + (-50)\/(-18)). Let c = h - -17. Solve -2*o = v + 3, -3*v - 2*v - 3*o - c = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, h: 7}. What is prob of picking 1 b and 2 h?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5 + 212*n**4 - 902*n**3 - 2288*n**2 + 14376*n - 15840 = 0. What is n?\nAnswer: -110, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:00 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:05 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 313*t + 6 + 633*t - 311*t. Let j be x(-3). Put 5\/3, j, -1 in descending order.\nAnswer: 5\/3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*w = 14, 2*w - 7 = 4*i - 33. Let s = -18 + 30. Calculate the remainder when s is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 43\/2 of a micrometer?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/2 and 81\/1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Let c(a) = -2*a**2 + 69. Let p(w) = c(w) - 3*d(w). Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 1)*(-2 + 3*d + 2)*(-419 - 418 + 583).\nAnswer: -1524*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 5*z + 2*z. Let o = z + -28. What are the prime factors of o?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13ec (base 15) in base 14?\nAnswer: -17b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 0 - 15) + 7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from hhvahhsaehahw?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 3. Let q = 31.068 - n. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 76. Let u be (55 + 2)\/((-3)\/4). Let p = u + 133. What is the highest common factor of a and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35176 - -89019. Suppose -a = -19*g + 12980. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 11 (b) -2 (c) 9\/5 (d) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 4. Let m(y) = 5*y + 7. Let x(h) = 9*j(h) + 4*m(h). Let o be x(6). Factor 5*p**5 + 0*p**5 + p**4 - o*p**5.\nAnswer: p**4*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from ujrqbur.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13555479 is divided by 2999?\nAnswer: 2998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.3 (c) -5 (d) -103 (e) -1\/2 (f) -282\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 42*o**3 + 9*o**2 - 6*o - 41. Is x(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5889065*a - 4459. Let l(m) = -6602*m + 5. Determine 5*b(y) + 4459*l(y).\nAnswer: 7007*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 27*a**5\/5 - 16*a**3\/3 + 17. What is the third derivative of f(u) wrt u?\nAnswer: 648*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157729473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -2cbb?\nAnswer: 2cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i*o**2 - 6*i + 14*o**2 - 6*o wrt o?\nAnswer: 6*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7 + 95\/(-15) + 1352\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 1. Let t(l) = -38*l**2 + 21*l - 33. Let x(f) = -13*f**2 + 6*f - 11. Let m(q) = 2*t(q) - 7*x(q). What is 2*m(j) + 22*w(j)?\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2142*o**3 + 175*o wrt o?\nAnswer: 12852*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87503, -174984, -262465, -349946, -437427, -524908?\nAnswer: -612389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 + 4*k**2 - 4*k. Let l be (-441)\/(-49) + 4*-1. Let u(g) be the third derivative of -g**6\/40 + g**5\/12 - g**4\/6 + 8*g**2. Give l*t(b) - 4*u(b).\nAnswer: 2*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w + 2*w = 765. Calculate the smallest common multiple of 55 and w.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 17.1, -0.09 in increasing order.\nAnswer: -0.09, 8, 17.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, o: 5}. What is prob of picking 1 o and 1 a?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 275126271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/120 - t**5\/6 - 3*t**4\/4 - 11*t**3\/6 + 9*t**2. Let c be j(-8). Suppose 3*i = c*i - 370. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.5124 - 0.015.\nAnswer: 7.4974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - u = -3*n, 232 = -3*u + 5*n + 244 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 4a?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -255028 by 70.\nAnswer: -127514\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 1504332367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3237070 to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 9*n + 18*n + 2*n**3 - 9*n to the form b + c*n**3 + l*n**2 + j*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.268055 rounded to 0 decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96540285, -96540283, -96540281, -96540279, -96540277?\n\"Answer: 2*v - 96540287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**3 + 48*g + 319?\nAnswer: -9*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -75*a - 3. Let r be g(-4). Let t be 825\/(-25)*(-2 - -1). Calculate the greatest common divisor of r and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*x = -95, 5*o + 0*o + 5*x - 105 = 0. Let u = -133978 + 133980. What is the least common multiple of o and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -321, -358, -369?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**7\/105 - p**6\/36 + p**5\/90 + p**4\/36 - 139*p**2\/2 - 2*p - 28. Let g(t) be the first derivative of f(t). Factor g(r).\nAnswer: 2*r*(r - 1)**2*(3*r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93*u - 65*u + 1978*u**2 + 247*u - 84*u)*(5 - 2 - 4) to b + z*u + q*u**2 and give q.\nAnswer: -1978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3*h + 3, -5*h = 4*x - 118663 + 118657 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 + -246\/5. Let p(q) = q**3 + 51*q**2 + 103*q + 244. Let o be p(-49). Which is the nearest to o? (a) v (b) -1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 3. Suppose -6*b + 10*b + u = 19, -2*u = 10. Determine x(b).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2050, 4101, 6152, 8203, 10254, 12305?\n\"Answer: 2051*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.163 - 13.737. Let v = -48 - -34. Let y = s - v. Which is the nearest to 0.1? (a) 2 (b) -2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 0 (b) 4 (c) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 54*m - 112*m + 57*m. Let k(r) = 3*r**2 + 3 - 3. What is u(k(v))?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + 1 + -1)**2 + sqrt(847) - (-2*(-1 + sqrt(343)))**2.\nAnswer: -529 + 67*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(768))\/(sqrt(32)\/(sqrt(32)\/sqrt(4))).\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + -1)*-5)**2 + (0 + sqrt(8)\/sqrt(4) - (4 + (sqrt(18))**2)))*4.\nAnswer: -396*sqrt(2) + 812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 0 + 1\/7*n**2 - 5\/7*n = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 10:36 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 146 + 131 = 0. Suppose 0 = n + b*z - 43, 3*z - 8 = -n + 5*z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 271*x + 2604. What is d(-9)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 + (-6 - 6) - -3) + 5. Let p(k) be the first derivative of 11 + 1\/30*k**6 + 0*k**4 + 0*k**3 + 0*k - 3\/25*k**5 + 0*k**y. Factor p(s).\nAnswer: s**4*(s - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/11 + 0)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5129 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(325)*-1.\nAnswer: -5*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5024 + 0.3.\nAnswer: -0.2024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/5 - (-8)\/5. Let s be 3 + (-5 - 1)\/n. Is 10 a factor of (-4)\/s*(-19 - -79)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -0.3, 145278.\nAnswer: -0.6, -0.3, 145278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -15. Let a be w\/10*15\/(-2). Is 5 a factor of ((-6)\/4)\/(a\/(-84))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3955*w**2 - 71*w**2 + 251*w**2 - 41*w**2. Let r(a) = a. Calculate g(r(p)).\nAnswer: -3816*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.0567 = -1292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*f**3 - 22 - 35891109*f + 22 + 35891109*f.\nAnswer: -196*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-154) - 9\/11. Let p(t) be the second derivative of 41*t**4\/12 - t**3\/3 - 3*t**2\/2 + 13*t. What are the prime factors of p(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipiw when four letters picked without replacement from nwttiitiwp.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4850, 0, 2\/14047, -3?\nAnswer: 2\/14047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553869 is divided by 24556?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 3*o)*(-1 + 0 + 0) - o - 2 + 2)*(2*o**2 - 3 + 3)*(0 + 0 - 3).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 6:05 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 492461863 to the nearest integer?\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 3. Let h be u(0). Suppose 5*t - t - 2224 = 4*x, -h*x = -3. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 3835?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*l - 176. Suppose 5*b + 3*q + 72 = 0, -l = 3*b - 2*q - 9. Let g(w) = 2*w + 27. Let f be g(b). Solve i + f*i - 12 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 78030*t + 7637336.\nAnswer: (t - 77932)*(t - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2274, -4617, -6960?\n\"Answer: -2343*o + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -42448.8 (b) 1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 8*y - 3220 = 0. Does 79 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1033212 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.5. Let j = -117 - -112. Put 5\/2, k, j in descending order.\nAnswer: 5\/2, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(7\/3)\/k)\/k)\/k)**(-2\/7))**(-1\/21) assuming k is positive.\nAnswer: k**(-4\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -228, 3, -51 in ascending order.\nAnswer: -228, -51, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8 - 7 + 3*m**2 - 9 + 23. Let x be r(1). Suppose -x*o + 5*a = 5780, -5*o - 2*a = -o + 11608. What is o rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 9, 3*r = -6350*d + 6345*d - 49 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p - 3*p**2 + 13 + 8*p**3 - 6 - 4*p**2 + 3*p**2. Is c(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -358, 0.3, -0.4, -8, 5 in descending order.\nAnswer: 5, 0.3, -0.3, -0.4, -8, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2, -0.1, -8\/3, -3\/16?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by ((-21)\/(-12) + -2)*-12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnyeyymnxml. Give prob of picking 2 y and 1 e.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 2*i - 0*i, 4*i - 36 = 4*q. Let n be (1\/2)\/(14\/i). Is n less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57209?\nAnswer: 19, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274*s - 47652 = -278*s. Suppose -3*c + g + 3*g + s = 0, g + 15871 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -84894.\nAnswer: 2\/14149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from zzzzccczzzz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a factor of 1119100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eae when three letters picked without replacement from {e: 14, a: 5}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: -0.03*0.34\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r - 1. Let n be i(0). Let y = n + 8. Calculate the remainder when (-2)\/y + 174\/21 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 426 (base 7) to base 4\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -22.35. Let c = 779541 + -779540.349951. Let a = s - c. What is a rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/42 and 41\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:07 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0235 and -0.2.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 20 + 5 + 1 + -4 + 5 + 71.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.95 or -1324?\nAnswer: -1324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14435 and 505695581.\nAnswer: 2887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -11 + 2*y**2 + 16*y + 1\/3*y**3 - 1\/4*y**4. Let h be w(-4). What is the highest common divisor of h and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17\/7, 365, 3\/14?\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d + 57131 - 17*d + 4764 + 627.\nAnswer: -21*d + 62522","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7679*i**2 + 2556*i**2 + 2563*i**2 + 2565*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626138013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 + -3 - 2)*1. Let z(s) = s**2 - 3*s - 3. Let x be z(4). Calculate the greatest common divisor of m and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -10 (b) 2\/5 (c) 0.3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 40084869.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1083.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167147 to the power of 1\/2, to the nearest integer?\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77955, 77954, 77953, 77952, 77951, 77950?\nAnswer: 77949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8860494 divided by -2\nAnswer: -4430247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/14*9\/((-162)\/(-63)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*n = -898 + 5837 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1672440 and 298650?\nAnswer: 8362200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 68413*-2.6\nAnswer: -177873.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -428, -1679, -3672, -6329, -9572?\n\"Answer: 13*v**3 - 449*v**2 + 5*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -11*y + 14. Give u(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -218. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 18*s**2 + 4752*s + 5614. Determine t(-78).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/72 and -55\/3588?\nAnswer: 21528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 3234 = 9*o. What is the remainder when o is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + i - 4. Let c be r(-5). Suppose -15*g = -c*g + 38. Calculate the remainder when 73 is divided by g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112020222122022 (base 3) in base 6?\nAnswer: -430225525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*8\/78. What is the nearest to -3 in 1, 1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 4*n**4 + 0*n**4 + (27 - 6 + 46)*(n - n + 2*n**4) to d*n**3 + r*n**4 + a*n**2 + v + b*n and give r.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 less than 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*0\/(-3) - 14. Let x be (-2500)\/(-40) + 2\/4. Is 1829\/9 + u\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*-1780018.\nAnswer: -242082448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqocrkq. What is prob of sequence kqrq?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 + 37*c - 5. Is x(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*v - 507, 44*v - 43*v = -5*u + 863. Solve u - 171 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151799.\nAnswer: 151799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7608\/41 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**2 + 782*g - 24360 = 0. Calculate g.\nAnswer: -812, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/63 + 136\/315. Sort -0.3, l, 0.2 in descending order.\nAnswer: l, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224 + 259. Calculate the remainder when 134 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, -102, -244, -388, -534?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -20*g**3 + 3*g**2 - 13*g + 29. Is s(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vl when two letters picked without replacement from {v: 4, l: 3, g: 5, w: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*t - 668*t - 6*t**2 + 326*t - 20.\nAnswer: -6*t**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1216) + (2*sqrt(95))\/sqrt(5) + ((-1*sqrt(76))\/sqrt(4) - (sqrt(475)*5 + sqrt(19)))**2.\nAnswer: -14*sqrt(19) + 13851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 7*k**2 - 5*k - 1. Determine b(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 83096\/416 - ((-4)\/(-112) - (-4)\/(-14))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 874188515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -52583, -105165, -157749, -210335?\n\"Answer: -j**2 - 52579*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69147020 is divided by 2517?\nAnswer: 2513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19933777 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Let w = -0.36 - 0.04. Let k = -24 - -23.8. Which is the nearest to g? (a) k (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.2, -4, 3, 474, 128 in descending order.\nAnswer: 474, 128, 8, 3, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10502640 divided by 9054.\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 51914.\nAnswer: -622968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/12*((-62)\/((-9672)\/(-1989)))\/(30\/(-16))?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374527133.\nAnswer: 374527133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y**3 - 9*y**2 + 6*y - 4. Let o(g) = 15*g**3 - 18*g**2 + 11*g - 7. Calculate 11*a(h) - 6*o(h).\nAnswer: -2*h**3 + 9*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)*-2*-6 + -2)**2 + 1*sqrt(432)*1)*5.\nAnswer: -2340*sqrt(3) + 216020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21389512391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 = 2*l + 3*z, -3*z + 976 = -2*l - 5*z. Let f be l\/(-15) + (-4)\/(-10). What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29272909 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + v = -21, -4*a + 8 = -7*a + 4*v for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -5 - (-5 + 0)) + (-14 - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 4:25 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -34. Let u = p - -11. Do 10 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109095231.\nAnswer: 3, 7, 31, 103, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 115996*r**2 + 14360440*r + 444935312.\nAnswer: 2*(r + 62)**2*(r + 57874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 137, -6, -1, 125 in ascending order.\nAnswer: -6, -3, -1, 125, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-2\/5)\/v)\/(v**(-2\/9)*v)*v*v\/(v\/(v*v*v*v**(1\/5))*v*v)*v**(1\/2) assuming v is positive.\nAnswer: v**(227\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 60942 to the nearest 100.\nAnswer: 60900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 3\/2 (b) -0.2 (c) -0.07 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from qqqfqqfffqffqqfuqqq?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29709376*z**4 - 5177511*z wrt z?\nAnswer: -356512512*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*j + 25*j - 16*j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*j + 132659 - 105025 = 0 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2\/3 + 1267120*x\/3 + 80279654720\/3.\nAnswer: 5*(x + 126712)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*-75*(-58)\/(-435)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 55 (b) 4 (c) 5 (d) 57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1030 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1918, -3932, -5946, -7960, -9974, -11988?\n\"Answer: -2014*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(196)\/sqrt(2)).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 120204 = -2240*n + 2237*n, 3*n = -3*m + 120204. Is n a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -6*w - 3\/2*w**4 + 0 + 4*w**2 + 1\/15*w**5 + 16\/3*w**3. Factor x(a).\nAnswer: 4*(a - 8)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353205, 353176, 353149, 353124, 353101, 353080, 353061?\nAnswer: 353044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 0*m + 2\/9*m**3 + 0*m**4 - 2\/9*m**2 - 6 - 2\/45*m**5. Suppose g(o) = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111436 (base 9) in base 5?\nAnswer: 4113241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 11*m**2 - 2*m - 3. Let k(d) = 5*d**2 - 2*d - 4. Let p(o) = 3*o**2 - o - 2. Let n(v) = 3*k(v) - 7*p(v). Determine 5*n(q) + 3*w(q).\nAnswer: 3*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 324*a*h**4 - 150*a*h + a - 2*h**4 - 97*h**3 - 29*h + 1 wrt h?\nAnswer: 3888*a*h**2 - 24*h**2 - 582*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -56, -151, -304, -527, -832, -1231?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 6*d**5\/35 + 1039*d**4\/14 + 688*d**3\/21 - 692*d**2\/7 - 7361. What is s in x(s) = 0?\nAnswer: -346, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -546 - -550. What is the closest to -1 in 1, -0.4, b, 1\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696737 is divided by 4495.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*r = -1, 0 = g - 3*r - r - 14. Suppose 4*m = -g - 26. What is the units digit of (-3 - m)*(-1)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (104429\/(-39) - 3)*6\/(-4)?\nAnswer: 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*-9*11\/(-66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from qqggqqggqxqgqg.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3408?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-28) + 150\/14. Let d = j + -1. Suppose -v = -2*i - 3*v + 6, d = 5*v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.892 - 8.907357. Round z to 4 dps.\nAnswer: -0.0154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 + 35 = -a - 3*d, -5*a - 5*d = 445. Sort -5, 5, 11, a, 3 in increasing order.\nAnswer: a, -5, 3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*12\/(-15))\/(8\/(280\/7)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101 - -1010101000?\nAnswer: 1011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1121*a + 1097*a - 33 - 2188*a.\nAnswer: 30*a - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 5*d**3 + 2*d + (-3*d + 0*d - 2*d)*(4*d**2 - 11 + 4*d**2 - 5*d**2) + 2*d**3 + 3*d**3 - 6*d**3 to f*d**2 + s*d + g*d**3 + a and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -26db80?\nAnswer: -26db84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/3342 and 49\/16.\nAnswer: 26736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1493 = -5*g + 2*g + 6799. List the prime factors of g.\nAnswer: 2, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*f + 9. Let a(s) be the second derivative of -s**4\/12 - 2*s**3\/3 + 5*s**2\/2 + 4*s + 4. Let b(j) = -j**2 - 3*j + 4. What is f*a(r) - 4*b(r)?\nAnswer: r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 29aa278 + -4?\nAnswer: 29aa274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hftfftthhfhtffhf. What is prob of picking 1 h and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147.4 - 148. What is the closest to -4 in g, -3, -1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*q + 62*q + 66*q - 26*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.033 + 0.533. Put -4, l, 0, -0.1 in decreasing order.\nAnswer: l, 0, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmwn when four letters picked without replacement from {w: 2, n: 2, m: 9}.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/6 + 2*b**3\/3 + 2*b**2 - 43*b. Let q(t) = t - 7. Let m be q(13). Suppose -6*l + m = -8*l. What is s(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*u - u + 1)*(-12 - 200 - 47).\nAnswer: 259*u + 259","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {w: 1, h: 1, t: 1, b: 1, z: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -156*g + 23603 - 29999 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/6)\/(1233*64\/(-864)).\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x**2 + 10*x + 39. Let n(h) = -14*h**2 + 8*h + 38. Give 5*i(j) - 4*n(j).\nAnswer: j**2 + 18*j + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 38015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -14, 2, 2\/325, -2\/3 in decreasing order.\nAnswer: 2, 3\/2, 2\/325, -2\/3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 813650.\nAnswer: 2, 5, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498554?\nAnswer: 2, 7, 149, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3416\/3 - 13673\/12. Which is the closest to -3\/7? (a) 4 (b) 4\/7 (c) n (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 281993620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*16\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 7 = -3*x, -754 = -u + 3*x. Suppose -u = -4*b - 3*v, 2*b - 372 = -v - v. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/((35\/360)\/(-7)). Suppose p*n + 44 = 38*n. Let u(g) = -6*g**2 + 6*g + 11. Let o(f) = f**2 - f - 2. Determine n*o(w) + 4*u(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 340 + -344. Is (-33)\/u*5840\/60 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3610 divided by 95.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 449 = -11. What are the prime factors of m?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2913 + -2870. Solve -3*l + 5 = -c, -47*c + l + 2 = -g*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11)\/((-14)\/((-262570)\/55))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -18*l + 13*l + 3, 0 = -4*o + 4*l + 4. Let a(z) = 2 + 18*z - 12 - o - 12. Let y(h) = 2*h - 3. What is 6*a(u) - 52*y(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-10 - (-5 - -2)) - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 251, 378, 573, 824, 1119, 1446, 1793, 2148?\nAnswer: 2499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 12*l**2 - 2*l - 10. Give y(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395287 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 8*i**2 - 6. Let d(a) = 4*a**3 + 25*a**2 + 19. Let t(b) = -2*d(b) - 7*h(b). Suppose -5*y = -10*y + 30. What are the prime factors of t(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 0 + 2709*s**3.\nAnswer: 2709*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 5*f - 4. Let p(v) = v**2 + 4*v - 15. Let h be p(-7). Give w(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + -44.3279.\nAnswer: -36.3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -49?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1268, 374, 3, 6, 5 in ascending order.\nAnswer: 3, 5, 6, 374, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.00026 + -2. What is g rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175200 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1422)\/36)\/((-1)\/(-2)). Which is smaller: o or -78?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 350\/(-9975) - (-14)\/38. Which is bigger: k or 0.04823?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 - 2)*(-2 - w**2 - 7 + 3) to the form k*w + r + o*w**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + ((-2207871)\/1)\/(-3). Let i = 1035908 - q. Suppose i - 1179955 = -4*k. Round k to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*q + 3*m - 6, -q - 5*m + 2 = 0. Let i(s) = 0*s - s + 1 - 2*s + 6*s. What is the units digit of i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(3 - 3 - b) - 20 + 8 + 17 + 6*b.\nAnswer: 14*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 242162.\nAnswer: 7264.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86511 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 7 + 895*f + 2 - 17 as a + g*f and give g.\nAnswer: 895","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 85.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -243 - -228. Is (-1803)\/(-4) - j\/60 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 258 and 90.\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 0 - (65 + 1)) + 34167 + -34171?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102544 * 0.38\nAnswer: -38966.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 8. What is the third smallest value in -2\/7, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30653.38 milligrams to kilograms.\nAnswer: 0.03065338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s\/s**(-4)*s)\/s*s))\/(s\/(s**13\/s)) assuming s is positive.\nAnswer: s**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -17. Let x = -1.3 - 0.7. Let s = -2 + x. Which is the nearest to s? (a) t (b) -4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67625356.8000242 - 67625375. Let l = g - -18.2. Round l to six dps.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 36*m**2 - 37*m - 44. Let n be g(-35). What is the remainder when n*5\/(-6)*15\/(-25) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*g - 0*g - 3, 4*c = 4*g - 24. Let m = 23 - -19. Suppose -5*w = -3*f + m, -3*f - g*w = -67 + 1. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1.5 in ascending order.\nAnswer: -5, -1, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-1263124\nAnswer: 378937.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o - 1 + 0*o)*(71*o + 2475 - 2475).\nAnswer: -71*o**2 + 71*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 7*f**2 + 5*f + 3. Let l be t(6). Let u = -8 - -13. Let w = -6 + 2. What is the smallest value in u, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*v - 14. Let o(x) = -v*x**2 - 4*x + 3*x + x**2 + 5*x**2. Determine o(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 439*v - 19685. Calculate h(51).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:49 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*r**2 + 2*r**2 - 11*r**2.\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26590 and 5650.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (96\/(-18))\/(30\/(-3285)). Calculate the greatest common factor of 511 and n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0523 * 34375\nAnswer: 36172.8125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*c**4*m**2 + 252853*c**3 + 715*c**2*m**2 + 3*c**2 + 7355*c wrt c?\nAnswer: 672*c*m**2 + 1517118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67753\/5 or 13551?\nAnswer: 67753\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 291*g**2 - 618*g - 11552. Calculate h(-289).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 20*o**5 - 3725*o**4 - 1438170*o**3 + 288542655*o**2 - 923543640*o + 212874480 = 0?\nAnswer: -273, 1\/4, 3, 228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*u + 43*u**2 + 436*u - 72*u**2 + 28*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44238674 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*v = -42, -4*v = -h - v + 8. Calculate the highest common divisor of 85 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 24, -116144*g - 2*r = -116138*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -128 + 142 + -9 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n + 1. Suppose 0 = 4*v - g + 2 + 5, -13 = v - 4*g. Let f(u) = -5*u. Let j be f(v). Let d(i) = -3*i**3 - i**2 - 5*i + 3. Give j*b(q) - d(q).\nAnswer: -2*q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17379361.\nAnswer: 17379361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 + 80*a**2\/3 - 15136*a.\nAnswer: 2*a*(a - 132)*(a + 172)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3980*u**4 - 6*u**2 + 14*u - 7568638*u**3 + 1 + 7568638*u**3 wrt u?\nAnswer: 95520*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 114.944 - -0.056. Let h = 114.6 - g. Let u = 5.4 - 5. Sort -0.06, u, h, -2 in ascending order.\nAnswer: -2, h, -0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -7) + -7 + 0. Solve 6*k = -y*k + 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*f**2 - 48*f**2 + 111*f**2 + 41*f**2 - 659*f**5 wrt f.\nAnswer: -39540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-46)\/15732*-126)\/((-1)\/((-60)\/35))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/771 + -3094\/3855. Which is the closest to -0.2? (a) 1 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-149)\/85824*-360).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*d - 212 - 528. What is the remainder when 100 is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 1760*g**2 - 24052*g + 83496.\nAnswer: -4*(g - 426)*(g - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10022 or 130302\/13?\nAnswer: 10022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25562662.\nAnswer: 2, 17, 31, 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwsv when four letters picked without replacement from vvsvvwvzq.\nAnswer: 5\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181304753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k. Let z be d(4). Let f(o) be the first derivative of -o**3\/3 + 3*o**2\/2 + 5*o - 1. Calculate the remainder when 1 is divided by f(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 - 6\/(-2). Suppose q*n + 28 = 36. Suppose 5 = 4*i + n*k - 79, 3*i - 3*k - 39 = 0. What is the remainder when i is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-62)\/(-6) - (-16)\/24. Let l be ((-3)\/y)\/(2\/(-1434)). Suppose -4*w + 525 = -l. What are the prime factors of w?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6566, 6561, 6556?\nAnswer: 6551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4849 - -4888. What is the remainder when 177 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:32 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/36 and -49\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. Suppose -2*d + 4*d = -3*i + 25, 1 = a*d - 5*i. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h**(1\/10)*h)\/h)*h**(-1)*h)**(-14\/3) assuming h is positive.\nAnswer: h**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195*p - 179*p + 202*p)*(2*p - p**4 + 1 - 2*p).\nAnswer: 172*p**5 - 172*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 367780.\nAnswer: 367780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19902126, 39804252, 59706378, 79608504, 99510630, 119412756?\nAnswer: 139314882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 3:07 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + 4. Let d = p - 22. Let b = d - -9.065. Round b to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/7)*z)\/z)\/z**3*((((z*z\/z**(4\/3)*z)\/z*z*z*z*z)\/z*z)\/z*z)\/(z\/(z*z\/z**(-1)))*((z\/(z**3\/z))\/z*(z\/z**(-4))\/z)**(-4) assuming z is positive.\nAnswer: z**(-97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1\/12, -0.406, 362?\nAnswer: -0.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1051 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2. Differentiate 4 + 3*h**3 - 2*h**3 - 2*h**3 - 2*h**y wrt h.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -26. Let o = 119 - 119. Let j be (-3 - -1) + o + 1 + h. Solve 4*b = -j*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*g - 47*g = 99*g - 892. Let h(c) be the first derivative of -21 - 57\/10*c**2 - 18\/5*c + 3\/4*c**g - 8\/5*c**3. Factor h(n).\nAnswer: 3*(n - 3)*(n + 1)*(5*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**2 - 2*a. Let d(k) = 11*k**2 - 3*k. Suppose g = -x + 24 - 27, 3*x + 4*g = -14. Let w be 6*((-48)\/8)\/12. What is w*c(r) + x*d(r)?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + (-5 - ((13 - -6) + -12))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8014.899t in milligrams?\nAnswer: 8014899000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Solve 3*g - 6 = 3*s + o, -4*s - 9 = -3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d = 27*d + 1692. Let p = 296 + d. Solve 0 = -12*r + p*r + 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from eknwbje?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Suppose 30 = 76*t - 71*t. What is the remainder when x(-6) is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1358739, 2717564, 4076389, 5435214?\nAnswer: 6794039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/40 and 97\/248.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-2*g + 0 + 0) + (4*g - 4*g - g)*(0 + 1 + 1).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*y + 29, 4*y - 12 = -4*j + 2*j. Solve 2*c = y*s - 18, 3*s = -0*s + 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10145107 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 202*r**3 + 10*r**2 - 94*r + 84. What is w(1)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1369*v**2. Let t(x) = -289*x**2 - x. What is t(l(w))?\nAnswer: -541632529*w**4 - 1369*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s\/(s\/s**(-3))))\/s)*s\/((s**(-2\/15)*s)\/s)*(s**2)**41)**27 assuming s is positive.\nAnswer: s**(11088\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26352*s**3 + 45193*s**3 + 104920*s**3.\nAnswer: 176465*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4. Is i\/1*1*-127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 10. Let n be 6\/1 - 1\/1. Solve 0 = -3*w - 12, 19 - n = -f*r - w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 8 = -2*a, 3*a + 5*i = 4. Is 0 + 22*a\/(-4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 20989970 - 20989970.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17895 divided by -110\nAnswer: 3579\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and 7876142?\nAnswer: 6300913.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1964 by 1.\nAnswer: 1964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15 - (1 - 4) - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tffft. What is prob of picking 3 f and 1 t?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -31*z + 812. What is y(26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 49419 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 52521875*u**5 + 405168750*u**4 + 1250235000*u**3 + 1928934000*u**2 + 1488034800*u + 459165024 = 0.\nAnswer: -54\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from {e: 13, m: 3}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3*p + 10 + 20 + 3 = 0, 0 = 5*x + 3*p - 4 - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/168*-18)\/((-36)\/(-12096)*18).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 5*a - 6. Let i be (-4)\/(-6) + (-7)\/a. Let v(k) = -k + 6. Let p be v(i). Sort p, 2, 1 in increasing order.\nAnswer: 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 2*w - 1. Let u be n(3). Let z = -50 + 85. Find the second derivative of 35 + q - z - 2*q**u wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-9\/5)*i)\/(i*i*(i*i\/(i**(-2\/9)*i)*i)\/i))\/(i**(-6)\/i)**21 assuming i is positive.\nAnswer: i**(6641\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -t - 2*a, 6*t - 17 = 2*t - 3*a. Suppose m + 0*m = 3*k - 8, k = -5*m - t. Suppose 2*y + 27 - 29 = 0. Sort y, k, -1 in descending order.\nAnswer: k, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 133 - 117, -19 = g + 4*u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.302 - -6.301947. Round v to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-145)\/87*4\/((-8)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -35 and -69108.13.\nAnswer: -69143.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**1)*x)**(-10)\/(x\/(x**3*x))**(-3\/17))**(-1\/4) assuming x is positive.\nAnswer: x**(179\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1219770 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3366 and 141702?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09968 times 21.9?\nAnswer: 2.182992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, p: 6, c: 2, r: 3, n: 2}. What is prob of picking 1 c and 2 u?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108217 = 223*b + 3332797. Round b to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.47 and 236.\nAnswer: 231.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -11*i**3 - 23*i - 46. Is l(-5) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 486 = 23*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*t - 26 = 0, -l = 5*t + 3 + 7. Put l, 3, -4 in ascending order.\nAnswer: -4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10\/(-75)*-5)\/((-4)\/(-78)). Let d = 3 + y. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*(sqrt(102)*-1 + sqrt(102) - sqrt(102)))\/(-2*sqrt(96)).\nAnswer: sqrt(17)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**3 - 20*y**2 - 14*y**2 - 586*y + 574*y.\nAnswer: -2*y*(y + 3)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b. Let f(g) = -3*g**2 + 146926. What is u(f(z))?\nAnswer: 12*z**2 - 587704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**3 + 19195*g**2 - 761800*g + 7598000 = 0.\nAnswer: 20, 3799","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.4, 2, 8, 0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17\/7 + 37\/21. Is 2 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 11*n**4 - 2*n**3 - 14*n**2 - 2. Let u(y) = -34*y**4 + 7*y**3 + 43*y**2 + 7. Let k(l) = -7*q(l) - 2*u(l). What is the third derivative of k(d) wrt d?\nAnswer: -216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnw when four letters picked without replacement from wwnkwwwwwwwwwww.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -16. Let o = 163 - l. Solve -5*a = -5*y - 0*a - 20, -o*y = a + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 182, 6 in descending order.\nAnswer: 182, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.9 - 5.5. What is the biggest value in -2, -0.3, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70450 and 98630.\nAnswer: 493150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -33. Let q = x - -60. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/(-3) + (-6)\/9. Let p = 6 - z. What is the tens digit of (-16 + p)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(sqrt(931) + sqrt(931)*-3 + sqrt(931)) + sqrt(931) + (-2*sqrt(931) + sqrt(931) + -5)**2)*1.\nAnswer: 49*sqrt(19) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36630403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (20 + (-16 - -13))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -42ed6 (base 15) in base 2?\nAnswer: -110011111001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 1. Let c be 1 - ((-37)\/4 - 3\/4). Suppose -8*h - 35 = -c. Let b(j) = -4*j - 2. Determine h*r(u) - b(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from mnmmmnmmmmmn.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 2035592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 943365 + -943364.9460041. Let a = s + -0.054. Round a to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*o - 3*o + 4*o)*(4*o - 3*o - 7*o) + 9*o - 9*o - 2*o**2)*(-5*o + o**3 - o + 5*o).\nAnswer: -32*o**5 + 32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(2\/3)\/h)\/(h**(-5)\/h))**(-7))**(-14))**25 assuming h is positive.\nAnswer: h**(41650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1799 divide 6408038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 11*b - 29*b + 10*b = -3*b - 193, -2*m + 377 = 9*b for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -380283.0733 + 0.019.\nAnswer: -380283.0543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 - (-27)\/(-15). Is (-825)\/(-22) - g\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -525471, -525467, -525461, -525453?\n\"Answer: l**2 + l - 525473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -9*w**5\/5 - w**4\/4 - 8*w + 103. Differentiate x(d) with respect to d.\nAnswer: -36*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5299, -21443, -48311, -85903?\nAnswer: -134219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 0\/(-2 + 0). Let u = 8406 - 8411. What is the tens digit of 18*4 + (y + -9 - u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/97 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 358*r**3 - 179*r**3 - 177*r**3 + 3*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(7)*-2)**2 + -2)*1 - (-2*sqrt(567) + sqrt(567) + sqrt(567))\/sqrt(9)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 + 5*o + 1. Let w(z) = -2*z**2 + 4*z + 1. What is -2*q(h) + 4*w(h)?\nAnswer: 6*h**2 + 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 3, -3 in decreasing order.\nAnswer: 3, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37740.\nAnswer: 2, 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 - -1. Let t = -0.4 - d. Suppose -m - w + 1 = 0, m + 17 = -2*m + w. Which is the nearest to 2? (a) t (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 47 = -0*q + 5*t, 5*q + 2*t = 67. Suppose 0 = -0*z + z - q. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q - 1. Let x be h(-3). What is the second derivative of 0*f**x + 2*f**2 + f**2 + 2*f - 5*f wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -64*c**3 - 4*c**2 + 21*c - 34. Determine j(2).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 15. Let t be 5*(2 - 18\/15). Suppose -2*n - 5 = -3*s - 23, 5*n - 68 = -t*s. Calculate the lowest common multiple of n and k(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -366 + 0?\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19 = s, 2*s + s = -4*o + 71. Let d be 0 + (0 - 1)*-10. Suppose -b - 5*k + 0 + 1 = 0, d = -2*k. What is the remainder when b is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 7. Suppose 4*w + 6 = 14. Let b = w + -2. What is the nearest to -0.2 in h, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raa when three letters picked without replacement from iuaaafarfafffk?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11\/10 (b) 4\/3 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 5)*(23 + 3 - 2)*(-f**4 - 2*f**4 + 4*f**4).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + -10) - (8 + -3 - 11).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 + 98*c**3 + 0*c**2 + 44*c**3 - 300*c**3.\nAnswer: -158*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o = -7*o. Suppose 3*k - 4*q - 37 = o, -4*k - 5*q + 59 + 42 = 0. Calculate the remainder when (96\/20)\/((-4)\/(-30)) is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 1 + 12 + 3 + p. Let o(c) = c**2 + 2*c + 13. Let x(s) = 7*o(s) - 6*w(s). Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mys when three letters picked without replacement from ysmmssssssysysmqq.\nAnswer: 27\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6.7\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4060, 8144, 12228, 16312, 20396?\n\"Answer: 4084*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 16 - 0. Let z(j) = -4*j**2 + j**3 - 66*j + 31*j + 37*j - 1. Is z(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -2\/41 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 111.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 0*n**2 + 5\/18*n**4 - 2\/9*n**3 + 1\/15*n**5 + 0 - 1\/9*n**6 - 12*n. Find i, given that m(i) = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -75*k + 1. Is f(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729141632 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 4, -3, 12, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*f + 60580, -7*f = 54*h - 52*h - 84812. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-30)*(-620)\/744.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.36 + -4.32. Let u = -0.32 + x. Let w = u + 9.8. Which is the smallest value? (a) 0.1 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 19. Let j(x) be the second derivative of x**3\/2 + x**2 + 76*x. Let m(v) = 9*v + 6. Calculate u*m(z) + 17*j(z).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 3345 - 1365 = 0. Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cususvsvvvvvvvvs. Give prob of picking 1 c, 2 v, and 1 s.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - 0?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/((m**6\/m)\/m))*m)**(-4\/15)\/(m*m**(3\/8)*m)**(-3\/10))**(9\/8) assuming m is positive.\nAnswer: m**(-447\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15785841659 + 0.744\nAnswer: -15785841658.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*y**2 - 1380*y**3 + 5908*y**3 + 3962*y**3 wrt y.\nAnswer: 50940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((28\/(-24))\/7). Suppose -28 = -x*q + 8*q. Let j(l) = 9*l**2 - 11*l. Let a(t) = 5*t**2 - 5*t. Let r(z) = q*a(z) + 4*j(z). Determine r(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = 0, 35 = -2*i + 6*i + 3*p. Let g be -10*((-28)\/i + 3). Solve -4*j = -3*l + j + 14, g*l + 2 = 2*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 - 23*o**2 - 15*o - 11. What is s(-10)?\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 7*z + 4. Let x be q(-7). Suppose -3*d - 2*i = -24, 16 = -2*d + x*d - 4*i. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2113220112?\nAnswer: -2113220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2000*d - 1991*d - 36 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -186470717*-0.4\nAnswer: 74588286.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)**(-39)\/(((p*p**(-2\/7)*p)\/p)\/p**(3\/7)) assuming p is positive.\nAnswer: p**(-275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(1100))\/sqrt(4)*-1)**2 + 5.\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 3. Let g be f(3). Suppose -t + 0*t + 16 = g. Solve -y + 3*y - t = -3*n, 28 = 4*y + 5*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -14*u - 4*g, 18773*u - 18771*u + 14 = -4*g for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86219?\nAnswer: 7, 109, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2. Let t(r) = -4*r + 6. Let z = 12 + -17. Let k(d) = 4*d - 5. Let p(j) = z*t(j) - 6*k(j). What is w(p(h))?\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 + 0.3. Let c = -0.272 - -133.272. Let d = 129 - c. What is the third biggest value in 1\/6, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(2 + -14). Let a(o) be the first derivative of o + 1\/2*o**2 + 64. Give a(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 6*a + 3. Suppose 0 = -4*m - o + 12, -m + 2 = o - 4. Suppose -10 - m = -4*y. Let q(n) = n**2 - n. Let h be q(y). Calculate i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1413 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, n: 4, d: 10, y: 2}. Give prob of sequence ydnd.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*b**2)*(-1 + 2 - b + 3*b) + 7*b**3 - 2*b**3 - 3*b**3.\nAnswer: -2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 4:09 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 0 + 0)\/(7\/(-35)). Suppose 0*s = -2*y - 3*s - 9, -v = 5*y + 4*s. Suppose -2 = -5*q + y, 3*d + 5*q = 61805. Round d to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u + 106. Give y(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 2*n - 20 = 0, -3*s = 3*n - 129. Suppose -204 = -3*d - s. Let a = d + -17. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Suppose s*n - 21 - 4 = 0. What is the second derivative of 7*r**5 + r - 3*r - 9*r**n - r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*j = -74, j + j - 104 = -5*i. Suppose o = -3*o + i. Suppose 0 = 5*v + 5*r - 70, o*v + 0*r = r + 46. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m. Let b(z) = 205*z**2 + 170*z**2 - 15*z**2. Calculate o(b(q)).\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 2*d + 0*d)*((-3*d + 0 + 0)*(-3*d - d + 2*d) + 3593 - 3593 + 74*d**2) as h*d + f*d**3 + v + b*d**2 and give f.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -0.11 (c) 0 (d) -1 (e) 0.04 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 11*j**2 - 6*j - 24. Let w be s(-11). Differentiate 89 - w + 5*x**3 - 51 with respect to x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 4*z + 57 = 0, 5*z + 15 = -2*k. Let b = k - -29. Let y = 134 + -121. Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9767 and 0.1567.\nAnswer: 1530.4889","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000592036 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -3c2f61a?\nAnswer: 3c2f617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 v, and 1 q when three letters picked without replacement from {q: 1, s: 2, g: 1, v: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744183 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.6277, 0, 779?\nAnswer: 779","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9704.9 + 117862478.\nAnswer: 117852773.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48157 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Suppose 5*s - 2*t = 12, 8*s - 5*t - 7 = 7*s. Let k(h) be the first derivative of -13*h + 34*h + 7*h**s - 21 - 14*h - 6*h**2. What is f(k(c))?\nAnswer: -4*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552\/161*98\/(-56).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1880 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 5:13 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2097*g - 38615 = -1529*g + 26137 for g.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -1, -0.2, 4.\nAnswer: -4, -1, -0.4, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide -1 + 19710 + -9 + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.074 - 41.926. Let g = z + 41.9. What is the closest to 0.1 in -0.4, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 4*w**2 + 4*w**2)*(-1 - 4 + 4) - 5*w**2 - w**2 + 5*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v - v + v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h**2 - 22*h**2 - 26*h**2 - 959*h + 77*h**2 + 959*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1780*j**2 - 2. Let n(u) = -u. Give n(f(k)).\nAnswer: -1780*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 15 = 4*f, -18 = -2*x - 2*f + 4*f. Suppose -x = c - 5. Sort 5, c, -1 in decreasing order.\nAnswer: 5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 21816.38um?\nAnswer: 0.00002181638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12002110202 (base 3) to base 9.\nAnswer: 162422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/234 + (-20 - (-115280)\/6006)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -32.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 73, 253, 601, 1171?\nAnswer: 2017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -474 - 922. Let y = c - 334. Calculate the remainder when y is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -14*w - 35 - 3*w + w**2 + 2*w - w. What is the units digit of m(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*d*i + a**4*d - a**3*d*i - a**2*d*i + 6*a**2*i - a**2 - a*d*i wrt a?\nAnswer: 24*a*d*i + 24*a*d - 6*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, -13, 2\/7, 0.5, 4 in increasing order.\nAnswer: -13, 2\/7, 0.5, 4, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 2*z - 4 = 0, 0 = -4*w - 5*z - 41 + 35 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 27 - 118*q - 127*q.\nAnswer: -245*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*h**2*n**3*u + 1076*h**2*n**2*u - 5*h**2*n**2 + h**2*n*u + 2111769*h*n**3*u - 10*h*n**2 wrt n?\nAnswer: 30*h**2*u + 12670614*h*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-906 + 41*z**2 + 906)*(2*z + 1 - 1)*(5 + 1 + 0) to x*z**3 + l*z**2 + h + a*z and give x.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 253*n - 3034. Let u be k(12). Solve u*i = -13 + 27 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159581404649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (17 - (-5 - -15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/(-72)*((-10)\/(-3))\/(-5)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 18*g**2 + 314*g - 11. Determine k(9).\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by (12\/(-5))\/((-48)\/320)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/20 and -33\/4408?\nAnswer: 22040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26578 to 2 decimal places.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 771265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 115831, 115833, 115835, 115837?\n\"Answer: 2*w + 115829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -14. Let d(w) = -w - 7. Let j(a) = 3*a + 12. Let f(x) = n*j(x) - 5*d(x). Let r(z) = -3*z - 1. Determine 5*f(g) - 6*r(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/352 and 77\/54984.\nAnswer: 2419296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/28 and 43\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 7*b**2 - 3*b - 7. Let p be z(-8). Let x = 14 + -10. List the prime factors of x\/(-10) + p\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 1. Let b(y) be the third derivative of -y**5\/20 - 11*y**2 - 21. Give b(l(s)).\nAnswer: -48*s**2 - 24*s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18648 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i**2 + 25*i + 43. Let z be a(-6). Let q(w) = 1. Let u(f) = 13*f**2 + 1. Give z*u(l) - q(l).\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 36\/10939?\nAnswer: 36\/10939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**12\/(f**(1\/5))**(-19\/3))**27 assuming f is positive.\nAnswer: f**(819\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 414 + -58?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - -13. Suppose -45 = 4*q - 5*v, 0 = -5*q - 4*v + 2*v - g. Let r = -20 - q. Let f(i) = -i - 11. Calculate f(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 1 + 5. Let x be j + -1 + 2 - 3. Let z = x - -7. Solve -2*u = -5*a - u - 10, a + z = -4*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpyp when four letters picked without replacement from fcppcfcfcyp?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54745845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1219 + 1219.001614. Round p to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1846, -0.1, -15 in decreasing order.\nAnswer: 1846, 1, -0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 95, 140, 185, 230, 275?\n\"Answer: 45*q + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 28 + 29 - 4*k + 2*k**2. Let t be c(2). Suppose t*p - 2*p = -2*q + 76, 0 = 4*q - 20. What is the highest common factor of p and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -7 + 1 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**8\/1344 - h**7\/120 + 11*h**6\/480 - h**5\/48 - h**2 + 65. Solve p(r) = 0 for r.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*3*sqrt(448)*-6)\/((sqrt(256) - -4*2*sqrt(256))*3))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 111342780 to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1414512 and 300048.\nAnswer: 9901584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*u + 1. Suppose -3*r - 10 = 5*j, -2*r + 5*j + 50 = 15. Solve u*f = 5 + r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9951, -20086, -30221, -40356, -50491?\n\"Answer: -10135*y + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 7, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 15*x**3 + 6*x**2 - 27*x + 3. Let v(g) = -g**3 - 12*g**2 + 19*g**2 - 6*g**2 + 1. Let r(u) = -j(u) - 3*v(u). Factor r(y).\nAnswer: -3*(y - 1)*(y + 2)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104629936?\nAnswer: 2, 6539371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -892*o + 12570. What is d(14)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -201 + 205. Let d = 92 + -89. Suppose 0*g = -2*g - m - 38, 0 = -m. Sort t, -0.5, d, g in increasing order.\nAnswer: g, -0.5, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265 at most -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 - 2*z + 3*z**3 - 4*z**3 + 0*z**3 - 3*z**2 - 5. Calculate b(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6370292 - 353662 = -15*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 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 the tens digit of 589122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -250, -632, -1194, -1954?\nAnswer: -2930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 2, k: 2, j: 6, b: 1, f: 2, v: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2) + 7\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, k: 3, e: 1}. Give prob of picking 1 e and 2 d.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19085, -4, -1, 0.4, -3, 3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 7) to base 5.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 + 4 + 2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by -14756.\nAnswer: 61\/14756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 7:46 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -20*s - 114. What is t(16)?\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**11\/o)\/o))\/o*o**5)\/(((o*(o**(-3\/2)\/o)\/o)\/o)\/(o*o\/(o**(-1\/5)*o)*o)) assuming o is positive.\nAnswer: o**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)*c*c)\/c*c\/(c\/c**(-1\/3)*c*c))\/((c*c*c**6)\/c*c**(-5))*c**(2\/13)\/c**(-1)*c**(-4)*c**(-2\/11) assuming c is positive.\nAnswer: c**(-10487\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.024 or -143434?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 y when three letters picked without replacement from {y: 6, u: 1, r: 2, d: 3, c: 7}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 3*u**2 + 8*u**2 + 6*u**2 - 20*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 185*l**3 - 35*l**2 - 35*l - 14885. Let t(b) = 21*b**3 - 4*b**2 - 4*b - 1654. What is -4*q(g) + 35*t(g)?\nAnswer: -5*g**3 + 1650","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 3:04 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-40) + (-151)\/(-572). Let j = 1565\/572 + m. What is the common denominator of j and 59\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 369949344 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6048))\/(2*(sqrt(6) + sqrt(12)\/sqrt(2)) + sqrt(6)).\nAnswer: 36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 26*h**2. Let i(f) be the second derivative of 11*f**3\/6 - 593*f. Determine p(i(n)).\nAnswer: 3146*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2136517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 252?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20685 and 420.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(2 + 2*v - 2) - 13*v + 91*v - 18*v - 19 - 35*v.\nAnswer: 29*v - 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845\/42 > 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 664.771?\nAnswer: 1329.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 61*s**2 + 184*s + 15. Let h be i(-8). Solve -h*p + 24 = -2459*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -11*v + 19*v - 7*v. Let a(l) be the first derivative of -3*l**2\/2 + 1. Give -a(s) - 4*d(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 4 (c) 3 (d) -1\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199135199.\nAnswer: 29, 6866731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**4\/13 + 382*f**3\/13 + 252*f**2 = 0.\nAnswer: -182, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185718, -185823, -185928?\nAnswer: -186033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 2\/16*4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2511, -2531, -2551, -2571, -2591, -2611?\n\"Answer: -20*i - 2491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 192673225 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: Convert -3003344434 (base 5) to base 16.\nAnswer: -5a5018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -7907\nAnswer: -2372.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1302 (base 12) to base 6.\nAnswer: -14002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y + 134*y + 268*y + 9*y + 214*y.\nAnswer: 639*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.050592 or -595?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + 277*l**2 + 2793*l + 2812. Calculate q(148).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -11, 1\/7, -3\/8, 457, 5, -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 785977 = -11*x + 128323. What is the remainder when x is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 5) + 8\/2. Suppose 0*d + d = -3*m + 64499995, 2*m - n*d - 43000015 = 0. Suppose -m = 7*i - 12*i. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 77. Let t = -146\/153 - -20\/17. Put 1, t, p, -0.5 in ascending order.\nAnswer: p, -0.5, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45984921*b**3*o + 8*b**2*o + 15944414*b*o wrt b.\nAnswer: 275909526*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4\/3 + 48458*f**3\/3 + 586802101*f**2\/3 - 1957218620*f + 4894056300 = 0. What is f?\nAnswer: -24234, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrrtrrrr. What is prob of picking 2 t and 2 r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -132*q + 7611. Determine b(58).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1460 - -1428. Sort 5, b, -44 in increasing order.\nAnswer: -44, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14c8 (base 14) to base 13\nAnswer: 18bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/208, 2\/11, -10\/9, 0, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*sqrt(11) - sqrt(44)*-3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82727 + 370218. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/3))\/(w**(3\/4)*w))**48*(w*w**0)**(-33)\/(((w**4\/w)\/w*w)\/(w**(-7)*w*w*w)) assuming w is positive.\nAnswer: w**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 5 - (-1 - (0 + 1)). Suppose b*v - 2523926 = 1394074. What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 279 = -4*o, -l - 3*l + 40884*o - 81768*o = -40889*o - 173 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 45. Suppose 4*f = -h + 17 + 3, 5*f - 25 = 3*h. Suppose -22 + h = -j. What is the greatest common factor of g and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 728, 1180, 1632?\n\"Answer: 452*w + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1062754, 2, 5 in decreasing order.\nAnswer: 1062754, 5, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 363\/4 or 4902?\nAnswer: 4902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 442.451 + -442. Let n = t - -2.187. What is n rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81301529 and 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = -2*w + 558. List the prime factors of w.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 404964 to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-10) + 167\/(-5). Let o(n) = n**3 + 8*n**2 - 14*n + 5. Let i be o(-10). Let r = m - i. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51844617 to the nearest integer?\nAnswer: 7200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(132) - -1*sqrt(132))*-6 - sqrt(132))\/sqrt(12).\nAnswer: -78*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -230 - 35?\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 314, 500, 698, 908, 1130, 1364?\nAnswer: 1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 2*a**2 + 0*a**3 + 6*a - 1\/6*a**4 + 0. Find the first derivative of l(t) wrt t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g - 662 - 7*g - 2*g + 675.\nAnswer: 2*g + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -41\/4, 0.03, -2, -5, -3?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3826956 by 4713.\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**3*b\/(b\/b**6))\/((b**(-7)*b*b)\/b**(8\/3)))**(-2\/27))**(-19) assuming b is positive.\nAnswer: b**(1900\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jpg when three letters picked without replacement from {z: 1, p: 1, g: 2, j: 4, b: 3}?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*x**5 - 188*x**4 + 49*x**3 + 36647*x.\nAnswer: 40*x**3 - 2256*x**2 + 294*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 23*w**2 + 40*w - 42. What is c(-9)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = -j, 5*j - k = 2*j - 3. Let d(o) = -o - 6. Let r(z) = 5 + 1 - 5. What is j*d(t) - 6*r(t)?\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 7630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 5*u - 36, -3*m - 2*u + 54 = -0*u. Suppose 2*g = 10, 5*l + 5*g + 0 - 40 = 0. Let n = 5 - l. What is the lowest common multiple of n and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -1\/5 (c) -2660 (d) 0.1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2462 - 1304. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) - (1 + sqrt(1331))*5 - sqrt(1331) - sqrt(1331)) + 1 + -1)**2 - (-1*(-5 + (sqrt(1331) + -3)*-1))**2.\nAnswer: 616*sqrt(11) + 46606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/100)\/(1*-1*39\/(-15)). What is the nearest to 0.1 in -0.1, 0, -0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45470 by -9094.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 13*p - 11*p, g + p - 63 = 0. Suppose -g*c = -88*c + 486. Solve -2*t + 10 = c for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38, 2\/5, -131.4, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 178776*t**2 - 357820*t**2 + 175952*t**2.\nAnswer: -3092*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5\/18 - -2\/9. Let c(h) be the third derivative of 0*h**6 + 0*h + 0 + 0*h**4 + 0*h**5 + b*h**3 - 3*h**2 + 1\/70*h**7. Differentiate c(p) with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -789, -3170, -7133, -12672, -19781?\nAnswer: -28454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8092655948*z + 8092655948*z + 7*z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -24, 2, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**15*p))\/p*p\/p**(-1\/2)*p*(p*p**(1\/8)*p)\/(p*p\/(p**(-14)*p)*p) assuming p is positive.\nAnswer: p**(-219\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 66 = -78. Let d be ((-6)\/r)\/(1\/6). Suppose i + 3 = 8. Solve a + 0*b + d = -3*b, -2*a - i*b - 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:46 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of r**7\/4200 - r**6\/900 + 2*r**3 - 2. Let t(d) be the third derivative of z(d). Determine y so that t(y) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -24*a**2 - 98*a + 90. Let v(z) = -7*z**2 - 32*z + 30. Give 3*t(l) - 10*v(l).\nAnswer: -2*l**2 + 26*l - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/64 of a tonne?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -16\/3780023?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-1) - (2 - 4). Suppose g + 3 = -h*a - 4, 0 = 3*a - g - 2. Sort a, 2, -5 in descending order.\nAnswer: 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25473 - 14570. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, q: 2, w: 3, n: 1}. Give prob of picking 3 w and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11996404 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*t - 1201, 41*t + 1222 = 43*t + 2*v. Calculate the greatest common divisor of 38 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8 + 12. Let c be (-3)\/9 + i + 350\/15. Factor 38 + 4*r**2 - r**2 + 10 - c*r.\nAnswer: 3*(r - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 + 12*z**2 + 3*z**2 - 4*z**2.\nAnswer: 23*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 11) in base 15?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Let u = -0.04 + 3.04. Let x be ((-95)\/38)\/((-10)\/8)*5\/20. Which is the smallest value? (a) w (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.4 + -18.4. Let u = -23.5 - o. Let c = u + 8. What is the nearest to 1 in c, -3, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -13448\/17 - 328\/17*k - 2\/17*k**2 = 0.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from veveeegeeeevveeve.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 4, -1 in decreasing order.\nAnswer: 10, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 12 - (17 + -13)) + 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, s: 6, d: 9}. Give prob of picking 1 d and 2 s.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*v + 26 + 88, 5*v + 15 = r. Suppose 0*p = 3*p - 171. Calculate the remainder when p is divided by r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((10 + -10)\/10)\/(-11) - -58\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (195 - 181) + (-1 - -1) + -2 + 1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -17 (b) -0.3 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r**2 + 17. Let j(p) = 54957*p**2. Give k(j(f)).\nAnswer: 15101359245*f**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a, 7*b - 2*b = -2*a + 15. Suppose -5*v + 3*x + 89 = 0, -3*v = 2*v + b*x - 101. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 6:50 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70 and -0.32.\nAnswer: 69.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -95, 0 in ascending order.\nAnswer: -95, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 1:24 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*o**4 + 142?\nAnswer: 40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-3*r**3 + 5*r**3 - 3*r**3) + 2*r**2 - 2*r**3 - 2*r**2 + 2*r**3 + r**3 - r**3 + (0 + 0 - 2*r)*(r**2 - 4*r**2 + r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -200211, -400441, -600675, -800913, -1001155?\n\"Answer: -2*g**2 - 200224*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/5 - 186*l**3\/5 - 4011*l**2\/5 - 34068*l\/5 - 83232\/5 = 0. Calculate l.\nAnswer: -24, -17, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460795 is divided by 100.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 7 = 11. Which is the closest to k? (a) -0.4 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/12 - 29325\/(-10)) + 0 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 331998*u**2 - 1 + 2 - 11*u - 1 - 5. Let t be h(-5). Round t to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656596951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) - (sqrt(91) - (-3*sqrt(91) - sqrt(91)))))\/(sqrt(14)\/sqrt(32)).\nAnswer: -32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95 by 16603.\nAnswer: -95\/16603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**2 + q**2 + 4*q**2)*(9*q**2 - 27*q + 27*q) - 9*q**4 - 12*q**4 - 23*q**4 to y*q**3 + p*q + v + k*q**4 + l*q**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 t, and 1 r when four letters picked without replacement from {r: 2, t: 4, a: 3}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w + 3*w)*(4*w - 2*w**2 - 4*w) + 4*w**3 - 4*w**3 - w**3 + (0*w + 0*w + w)*(11*w**2 + 7*w**2 + 16*w**2) to s*w**3 + h*w + l*w**2 + k and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 11 + 8 + 12 + 173238*q**2.\nAnswer: 173238*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013431952 to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o + 3*b = 58, 4 = -b. Calculate the remainder when 27 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2528.8 + -2833. Let j = b + 286. Round j to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 174 + 134. Suppose -316665*p - 3*p**2 + 316750*p + s*p**2 = 0. What is p?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 51*k + 56. Let n be y(18). Suppose -3983 = -n*w + m, -33 + 31 = 2*m. What are the prime factors of w?\nAnswer: 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -291, -17 in increasing order.\nAnswer: -291, -17, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.158 and 0.03121?\nAnswer: 0.00493118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*i**2 - 45*i**3 - 18*i**2 + 121*i**3 - 44*i**3 - 31*i**3.\nAnswer: i**3 + 90*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.93 - 5. Let v = 0.0699957 + n. What is v rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = v + 30. Let h = v - -137. Round h to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t**3 - 5*t**3 + 0 - 2*t - 2 + 1 as g*t + h*t**3 + n + l*t**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21744 and 2088?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0064319657 to 5 decimal places.\nAnswer: -0.00643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*j - 93808 - 1398932 = 0. Suppose 40590 = 16*q - j. Round q to the nearest 100.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4372 + -4182. Calculate the highest common divisor of 38 and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 5*b + 80. Suppose 8*l + b = 56. Solve 0 = 4*j - 18 - l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6230\/(-25) - 2\/(-10). Let d = n + 377. Suppose 0 = -4*f + 12*f - d. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**3 - 6*o**2 + 5*o - 8. Let c be n(6). Let s be (9\/4 - 7\/14)*364. Suppose -v = 3*m - s, 5*m = -v + c + 389. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000035574 rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 850.6 - 847.6. Let l = 7 + -6.7. Sort -4, -0.2, l, o.\nAnswer: -4, -0.2, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 - 13*a**2 + 20*a - 15. Is b(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -217035474, -217035472, -217035470, -217035468, -217035466, -217035464?\n\"Answer: 2*a - 217035476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 232*n\/3 - 6728\/3.\nAnswer: -2*(n + 58)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, -1, 0 in decreasing order.\nAnswer: 80, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-1) + 362 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4 + 6. Let g = 12 + z. Let u = -18 + g. Put u, -11, 4 in decreasing order.\nAnswer: 4, u, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -12731.\nAnswer: 1\/12731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000 divided by -3?\nAnswer: -5000\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -111.000000137. What is x rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 71. Let v = 58 + q. Let t = v - 26.3. Which is smaller: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 46. Let c = n + 22. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.0509 (b) 0 (c) -29054\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 72*y - 19. Let p(o) = 36*o - 10. Let j(k) = -6*m(k) + 11*p(k). Does 8 divide j(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16720*0.2.\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6837 = 7*v - 2*v, 3*n - 2*v - 5122 = 0. Suppose 6*q = -436 + n. What is the smallest common multiple of q and 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 9*m. Let v be z(-4). Determine o, given that 4*o**4 - 4*o**4 + 32*o - 28*o**3 - 4*o**5 - 16 + v*o**4 - 4*o**2 + 0 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + 1) - -3 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayyy when four letters picked without replacement from yaymymy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 + -0.76. Suppose -5*f - 35 + 5 = 3*y, 0 = -3*y + f - 12. What is the closest to -0.8 in z, y, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 - 11*u**3 + 39*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22\/1135 - -2116\/7945. Put -4, -7\/26, d, 1, -2\/7 in decreasing order.\nAnswer: 1, d, -7\/26, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 7:23 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 59480*i - 7 + 59492*i - 118988*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127100268.\nAnswer: 2, 3, 3530563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 6*c. Suppose 0*o = -2*o + 2*j + 6, 5*j = o + 1. Suppose -o*p + 36 = -0*p. What is the units digit of r(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n**3 + 39*n**2 + 229 wrt n?\nAnswer: -15*n**2 + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 103*r**2 + 2713*r - 11. Give p(46).\nAnswer: 4175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 7*w + 5. Let g(l) = l**2 + 6*l + 4. Give 6*g(n) - 5*q(n).\nAnswer: n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 89\/5, 1, -47, -3, -1033?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109232 by -1.\nAnswer: -109232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(208) + -2)**2 + 1 + sqrt(208) + 4.\nAnswer: 4*sqrt(13) + 213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 9. Let q be j(-19). Let g = q - -35. Solve p = -3*w - 0*p - 7, -w = 2*p - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(1361*x - 130 + 263 - 134) as j*x + p and give j.\nAnswer: 4083","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47\/9 + -3*(-10)\/(-135). Let g be (-1)\/(-2)*-5*-28. Suppose 20 = b*q - g. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4033449 is divided by 2142?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -208614?\nAnswer: -208618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*i = -34 + 274 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47585129 to the power of 1\/3, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 1. Let t(r) = -6*r + 10. Let s(c) = -2*f(c) + t(c). What is the smallest common multiple of 2 and s(-17)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -233 + 910?\nAnswer: 6dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*s**2 - 65*s + 65*s)*(-2*s**2 + 1 - 1) - 4*s + 4*s - s**4 + (-2*s**3 + s**2 - s**2)*(3*s + s - 2*s) + 4*s**4 - 2*s**4 + 0*s**4.\nAnswer: -81*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 - -2. Let x = 2.5 - g. Which is the third smallest value? (a) 3\/4 (b) x (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20969.981 rounded to the nearest 100?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkakaakkkkakkakkk. Give prob of picking 2 a.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 130001*o**4\/12 + o**3\/2 + o**2 + 3*o. Let p be l(-2). What is p rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61472 divided by -34?\nAnswer: -1808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147.5 - 150.6. Which is smaller: y or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 5. What is the units digit of a(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*y**4 - 2 + 2*y**2 - 6*y**3 - 45*y**4 - 4*y - 21*y**4 in the form u*y**2 + n*y**4 + h*y + f*y**3 + o and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-18))\/(-2*(-1)\/12). Let f be -2 - (-4)\/s - -4. Suppose -2 = 2*t - f. Which is smaller: t or 1\/33?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 40, 4 in decreasing order.\nAnswer: 40, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*b - 17442 - 7559 = 1646 - 2415 for b.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 4:26 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*x - 2*j, 4*j = -x - 2 + 1. Suppose x*i = 2*i + 315. Is i a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*(c*c**(-5))\/c*c*c**(5\/2)*c*((c\/(c*(c**(-1\/2)*c)\/c))\/c)\/c**(2\/11)*c**(-1)*c*c**4*(c*c**(3\/4))\/(c*c\/c**(-2\/9)) assuming c is positive.\nAnswer: c**(1721\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1993 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2927.\nAnswer: 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 266123, 2129082, 7185685, 17032754, 33267111, 57485578, 91284977?\n\"Answer: 266137*p**3 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*b + 1, w - 2 + 6 = -b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3.4. Let g = -8 - -8. Let t = 0 - 1. Which is the second smallest value? (a) g (b) l (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1. Let i(d) = 2*d - 7. Let h(y) = 4*a(y) + i(y). Determine h(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -124914, -249859, -374808, -499761, -624718?\nAnswer: -749679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 16116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**4\/4 - 567*u**3\/4 + 67227*u**2\/4 + 3736555*u\/4 + 10046700 = 0?\nAnswer: -27, -16, 305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 66 = -5*p + p, 2*p = -l + 68. Suppose 20 = 4*q, -4*a + q = -q - l. What is h in 0*h**3 - 13*h**3 - a*h**4 + 5*h**3 = 0?\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42705 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/645 + -1304\/4515. Let u = 1066\/7 - 152. Which is the third smallest value? (a) -4\/9 (b) 2 (c) t (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -294*b + 148. Let y(g) = -56*g + 16*g - 19 - 58*g + 40 + 29. Let o(d) = 3*m(d) - 8*y(d). What is the derivative of o(j) wrt j?\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/11 not equal to 89\/2636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 13*r = 12. Solve 6*g + r = 3*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467 + 492 - l**2 + 7*l**3 + l**2.\nAnswer: 7*l**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from olooloooooooo.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 47. Suppose 0 = 3*x - 24 + 9, 4*x = f*u. Suppose y + 231 = u*q, 2*q = 2*y + 52 + 56. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1711 and 642901?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -12. Let o = -24 - -44. Suppose -o = -0*b - 5*b. Calculate the remainder when p is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -419*f. Let u(b) = -57 + 108 + 2*b - 51. Calculate u(m(c)).\nAnswer: -838*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -418155 divided by 915.\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4715 rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 13. Suppose 2*a = 8*a - 138. Suppose b*q = 2*s - s - a, 2*s - 46 = -3*q. Calculate the highest common divisor of s and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2630*v**2 - 3*v - 3. Let x be n(-1). Let q be (3\/3 + 0)*x. What is q rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3c (base 14) in base 6?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 4. Let g(h) = h**2 - 4. Let j be (-6)\/27 + 29\/9. Calculate the lowest common multiple of k and g(j).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 12 = -q - 49, 2*q = -6*z - 41*z - 4*z - 286 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4 + 422*s**3 - 420*s**2 - 422*s + 421 = 0.\nAnswer: -1, 1, 421","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -5, 3, -1193, -156 in descending order.\nAnswer: 3, -2\/11, -5, -156, -1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24362549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8226, -4, 11, -1.\nAnswer: -4, -1, -0.8226, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -45, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l - 5. Suppose -5*f + 20 = -0. Suppose f*j + 25 = 5. Calculate d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 21\/19*m**2 + 0*m + 2\/57*m**3 + 160. Factor y(q).\nAnswer: 2*q*(q + 21)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 8*r + 216. Let z(o) = o + 20. Let y(x) = b(x) - 10*z(x). What is y(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-8))\/(550\/(-220))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 10) in base 7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29)\/(-1189)*41)\/((-2)\/46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/1)\/(4\/2*-2). Let i(h) = -3*h**2 - 37*h - 13. Let a be i(-11). Solve -3*c + v - a = 5*j, -2*j - 12 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9392, -18803, -28224, -37655, -47096?\n\"Answer: -5*w**2 - 9396*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 79506*z**2 - 790269750*z + 2370093750.\nAnswer: -2*(z - 19875)**2*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n + 33. Suppose 4*d = 4*x - 48, 2*x - 62 = 5*d - 8. Determine c(d).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from qicicvciiih?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c5234 (base 15) to base 2\nAnswer: 10011000100011101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358889 = 9*s - 15*s + 116107. List the prime factors of s.\nAnswer: 2, 23, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-86*b + 86*b - 12*b**2)*(-8 + 8 - 11*b) + (-4*b**2 + 0*b**2 + 3*b**2)*(-5*b + b + 3*b).\nAnswer: -263*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 107, 291, 573, 971, 1503, 2187, 3041?\n\"Answer: 3*f**3 + 31*f**2 + 70*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 584525651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**7\/1365 + i**6\/780 + i**5\/195 + 3*i**2\/2 + 10. Let k(a) be the second derivative of w(a). Factor k(r).\nAnswer: -2*r**2*(r - 2)*(r + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 61189 = -0*m + 3*m, -4*m = 8. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 8*t + 3. Let r(i) = -3*i - 1. What is -17*r(m) - 6*s(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 112115414?\nAnswer: 112115411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086669 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.2 (b) -2\/7 (c) 0.1 (d) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**3\/2 - 3831*n**2 - 227244*n = 0.\nAnswer: -58, 0, 2612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39\/2 - -97\/4. Let o = -4 + g. Which is the second biggest value? (a) 0.2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1108117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-5\/7)*b**23*b)\/(((b*b\/b**(4\/15))\/b)\/(b**(-1\/21)\/b)) assuming b is positive.\nAnswer: b**(2363\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*c - 1036*c = 4293 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 568 = 568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 60.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*k + 65*k = 308. Suppose 3*l + 5*m = 149 + k, 2*m + 284 = 4*l. Let p be -2 - (1 - 3) - l\/(-10). Is 6 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in 51, 3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 10}. Give prob of sequence ij.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/4*(-100)\/(-15)*(-11)\/930*-93?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10001000100001111 (base 2) to base 7\nAnswer: -410541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let o(r) be the third derivative of r**8\/3360 + r**5\/12 - 16*r**2. Let n(x) be the third derivative of o(x). What is k(n(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.0757 + 19.70229. What is a rounded to 2 decimal places?\nAnswer: 1.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-12) + 615\/12 - (-3 - 1). Solve 84*s - 95*s = -g for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 266844 and 34188.\nAnswer: 20546988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -4*j**2 + 5*j + 1. Let v(k) = -k. Let i(u) = -f(u) + 5*v(u). What is the tens digit of i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**2 + 47*g - 6. Let t(c) = -5*c**2 - 23*c + 3. Let l(v) = 4*f(v) + 9*t(v). Let u be l(-18). What is the greatest common factor of 168 and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-1378)\/9646)\/((-1)\/(2\/3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*s - 10. Let m(n) = -4*n + 20*n + 7 - s*n - 9*n. Give m(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 16. Let i = -2 + w. What is the second derivative of -s**4 - 4*s - 4*s**i + 2*s**4 + 6*s wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -5, -3, 0, -53 in ascending order.\nAnswer: -53, -5, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 3*z + z)*(-3 + 3 - 1)*(36 - 21*z + 43*z - 21*z).\nAnswer: 3*z**2 + 108*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*v**2 - 1058*v**2 + 243*v**3 - 1102*v**3 - 653*v**3 wrt v?\nAnswer: -9072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/3, 90, -2\/7, 2\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 + 1\/6*y**3 + 0 + 2*y + 1\/12*y**4. Determine x(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 19, p: 1}. Give prob of sequence ll.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -37. Let h = 16 + y. Suppose u + 2*u = 5*p - h, -p - 3*u = -16. Solve 0*d + p = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = 99*y - 312 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 37\/13 - (-2 + 120\/65). Suppose 5*j + 2076 = i*p, 2*p - j - 1391 = -0*j. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and -5244.\nAnswer: -5243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*t + 7371 = 496*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -21 + (2 - -1). Do -19 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let p = 5351 + -5349. Let d = 19 + -15. Put v, -5, p, d in decreasing order.\nAnswer: d, p, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36550528 and 2432?\nAnswer: 36550528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 3 - 3) + -62. Let t be ((-90)\/35)\/9 - 836\/14. Let h = t - i. Solve 0*b - h*b = -12 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.4000242 + -12.4. Round s to 6 decimal places.\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12577 (b) -31 (c) -6 (d) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 120 = -6*n. Let d be 25 - n - (-1)\/(1 - 2). Solve d = -i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 6*m - 7*m + 0*m.\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrrrrykrryyrky. Give prob of sequence yy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.2 (b) -5 (c) 9457 (d) -31\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 8 - (2 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1278, 5172, 11662, 20748, 32430, 46708?\n\"Answer: 1298*c**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 422 * 21.\nAnswer: 8862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585747?\nAnswer: 3, 37, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 23*b**2 + 50*b + 110. Let v(x) = -8*x**2 - 16*x - 36. Let l(n) = -6*q(n) - 17*v(n). Factor l(p).\nAnswer: -2*(p + 2)*(p + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*o = -9104, 2*o = -15*w + 14*w + 9096. What is the highest common factor of w and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from tugzzukzz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*k - 11 = 5*y, 5*y + 31 = -3*k. What is the least common multiple of 12 and (2\/3)\/(((-15)\/144)\/y)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + 6. Let a(l) = l**3 + 15*l**2 + 13*l - 9. Let x be a(-14). Calculate c(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + 1 + sqrt(475) + -2 + 1 + 0).\nAnswer: -10*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-6)\/2*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**5\/10 - o**4\/4 - o**2. Let t(n) = n**2 - n. Let z = -5 - -1. Let v(x) = z*t(x) + m(x). Find k such that v(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44863890 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o, 27*b + 5*o = 29*b - 3956. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12560 < -163288\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379*f**6 + 371*f**6 - f**3 + 35*f**2 + 3*f**3 wrt f.\nAnswer: -960*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from mxcxmcxmxxfxfxx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1398427263 + 67127023343\/48. Let t = -52392 + d. Let n = -11\/16 - t. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) -9 (c) 0.6 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16096581 to the nearest integer?\nAnswer: 4012","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2852722*f**3 - 1945091*f wrt f.\nAnswer: 17116332*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i**3)\/((i\/(i*i**(1\/4)))\/i**(3\/11)))\/(i\/(i\/(i*((i*i**(-5)*i)\/i)\/i*i*i))*i\/i**(-1\/13))**(5\/12) assuming i is positive.\nAnswer: i**(7277\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 2. Let z be k(-4). Let t be 4\/(8\/3672510) - z. Suppose 2*o - t = 2363743. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 s, 1 f, and 1 c when four letters picked without replacement from {s: 1, c: 2, f: 2, b: 1, y: 1}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-21) + 26\/6. Suppose -2*v + 29 = -5*p, f - 24 = 4*p. Solve -3*j + 4*r + 15 = 0, v*r - r + 8 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 748006758.\nAnswer: 748006757.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 982679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21409 and 13193.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5. Suppose 3*q - 3*o = 18, -398*q = -402*q + o + 9. Solve 0 = w - f*w - q for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -12*t**2 - t + 1. Let l be w(1). Let r be (l\/8)\/((-3)\/(-1)). Which is the closest to -1? (a) r (b) -2\/11 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - r + 3. Let y be n(0). Let q = 13\/5 - y. Let g = -978\/5 - -195. Which is the biggest value? (a) g (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 8:26 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 435438188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5)\/(-8) + -4 + 1055\/40.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + 2 + -15 - (-95 - -41)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -39\/20, 0.1, 2, 1, -2409?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gq when two letters picked without replacement from {g: 4, q: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 7*b - 3*b + 17, -h - b - 2 = 0. Let v = -9 + h. Suppose 5*j = 10, 61*z - 56*z + j + 38 = 0. Do z and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 23*b**2\/2 + b - 17. Let l be v(3). Let z = l - 39. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17825, 17826, 17827, 17828?\nAnswer: 17829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 12*m = -m + 6370. Calculate the remainder when m is divided by 226.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/25)\/((-1)\/(-10)). Let t be (-3)\/y - 30\/56. Suppose -5*l - 1 = -4*l. Is l less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, h: 2, z: 1, a: 2}. What is prob of picking 1 z and 1 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -718*z = -719*z + 3*o + 54, -5*z - 2*o + 66 = 0. Suppose 0 = 3*r - 2*q - 72, 2*r + 2*r + 3*q = 96. What is the least common multiple of r and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4168506625 to the nearest integer?\nAnswer: 64564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)*-1 + (sqrt(180) + -1)**2 - ((sqrt(405) + 2)**2 + -3*((sqrt(25)\/sqrt(5))**2 + sqrt(5))).\nAnswer: -213 - 51*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 20. Suppose 3*v - s - 8 = 0. Find the second derivative of -6*q + v*q - 16*q**2 + 7*q**2 - 5*q wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 221805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -8. Suppose 4*q - 39 - 349 = a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 17*w**2 + 7\/12*w**4 + 0*w + 0 - 31\/6*w**3. Differentiate l(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + m + 16, -3*p - 12 = -0*m - 4*m. Let q be 3\/(-6)*(p - -5). What is the third biggest value in 0, 0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 31*m = 35*m + 18, -42 = -2*i - 4*m. Solve 2*u + y + i = 4*y, -2*y + 10 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 4*r**3 - 7*r**3 + (-2 + 4 - 1)*(3 - 2*r**3 - 3) + (-14 + 14 - 5*r**2)*(12*r - 9 + 9) as f*r + j*r**3 + t*r**2 + n and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 358 + -719\/2. Sort f, 4, 9\/5, 0.4 in ascending order.\nAnswer: f, 0.4, 9\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1491 - -277. Let t = n - -1214.0000553. What is t rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 8*n - 323. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 4. Let w = 20 - 6. Let n = w - 10. What is the least common multiple of u(n) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1561, 13\/15, -94 in ascending order.\nAnswer: -1561, -94, 13\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221524*a + 222002*a + 46366 = 0 for a.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -143*g + 322*g + 267*g - 29564894. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 108 = j. Let h be (2 - 0) + 3 - (-1654)\/(-14). Let q = j - h. Are q and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5226*r**2 + 47*r + 424. Is y(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34689112.\nAnswer: 2, 17, 379, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -1 - 1. What are the prime factors of (171\/6)\/((-6)\/(-16)) + j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003833312572 rounded to 6 decimal places?\nAnswer: -0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*g = 5*q - 15, g + 9 - 10 = -18*q - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4) - (3 - (-2)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 8. Let z(x) = 3*x + 7. What is -5*w(q) - 6*z(q)?\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -24*q**2 + 13*q + 13. Let u(w) = -6*w**2 + 3*w + 3. What is -6*o(j) + 26*u(j)?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 25 = 4*d + 38, 4*l - 4*d + 8 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -923064.8 times 1.1?\nAnswer: -1015371.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -182\/3 in decreasing order.\nAnswer: 3, -7, -182\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 127.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10227 and 20454?\nAnswer: 20454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/28 + (-618)\/7. Let u = 176 + x. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 128 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 + 3*r**2 - 2*r**2. Let b(h) = -4*h. Let d(i) = -9*i - 16*i + 2*i. Let m(k) = 34*b(k) - 6*d(k). Give p(m(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/4073418 and -23\/6?\nAnswer: 4073418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 28 = 5. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050711811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a centimeter?\nAnswer: 42500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17878, -17848, -17788, -17698, -17578, -17428, -17248?\nAnswer: -17038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 83 = -0*h - 3*h, -3*i = 5*h - 93. Suppose 3*k + 3 = -h. Is ((-31)\/4)\/(2\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysb when three letters picked without replacement from {s: 4, b: 2, y: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*h - 18, 0 = c + 2*h - 11. Solve 0 = c*t - 0*t + 2*m - 20, -4*t + 4*m = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*p + s, 5*s + 0*s = 5*p - 35. Suppose -14 = -0*o + o - 2*t, -o = t + 20. Let a = -8 - o. Solve -3*m - 5 = -w, -p*w - 4*m = a + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxjg when four letters picked without replacement from ggxgmfjfggfg?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(15\/(-4))*-12. Calculate the highest common divisor of 368 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -139?\nAnswer: -139.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 12*l**2 - 2*l + 2*l.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 434.3075 centimeters in meters?\nAnswer: 4.343075","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1862444*m - 531369.\nAnswer: -1862444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(6*-29 - -1). Let n = m - -217. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14254, -57273, -129052, -229585, -358866?\n\"Answer: o**3 - 14386*o**2 + 132*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 10. Let l be q(4). Let m(f) = f**3 - 7*f**2 + 4*f + 2. Calculate m(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 35, -5, 0.\nAnswer: -5, -3, -2, -1, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -43*m**2. Let j(l) = -215*l**2. Give 11*h(z) - 2*j(z).\nAnswer: -43*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = 6. What is the lowest common multiple of j and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10, -61, -146, -265, -418, -605?\n\"Answer: -17*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6154 + 3240 = -456*c + 19886 for c.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1401333141 (base 5) in base 16?\nAnswer: -360f89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -28. Suppose 5*i + 5*y - 190 = 0, 14 = i - y - r. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252\/5 + -50. Suppose 0*q = 2*q. Which is the smallest value? (a) q (b) r (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 446 and 1427296?\nAnswer: 318287008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -1\/6, 1\/8, 2\/7, 1, -3\/5 in ascending order.\nAnswer: -3\/5, -1\/6, 1\/8, 2\/7, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 223 - -22222?\nAnswer: 22445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3 - 13. Suppose -3*s + 885 = u*d - 0*d, d = 2*s - 590. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 6)*(34*k + 114 - 114)*(-7*k**2 - 13*k**2 - 7*k**2) in the form f*k + j*k**3 + p*k**2 + q and give j.\nAnswer: 3672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 17 = 43 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 106275 and 3559395?\nAnswer: 231360675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Let a be -1 + 2 + 0 + 1. Differentiate -2 - 3*d + a*d + r with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -2*f**6\/15 - f**5\/12 + 5*f**2\/2 - 6. Let k(m) be the second derivative of c(m). Find the third derivative of k(t) wrt t.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/24 - t**3\/6 + t**2. Let g(c) be the first derivative of z(c). Let f = 64 + -65. Give g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*i + 174*i = 18411 + 6889. Let j(p) = p**2 + 4. Suppose -4 = n, -34 = -3*s + 3*n - 10. Let u be j(s). Calculate the highest common factor of i and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f - 23*f - 61512 = -4*a, 2*f = 7*a + 30810. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*sqrt(77) + (sqrt(77) - ((sqrt(77) + sqrt(77) + -3*sqrt(77))*-4 - sqrt(77)) - sqrt(77)))\/(sqrt(175)*-5*-2*-1).\nAnswer: -6*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-3) + (-16)\/24. Let l = -8 - y. Solve -2*r = -r - l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 - 6*z + 23. Give h(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -1128366833 and 333.9.\nAnswer: -1128366499.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 3, 11, 19, 27?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -428.3 - -427.8. Put g, -0.1, -5, 0.06, 0.9 in descending order.\nAnswer: 0.9, 0.06, -0.1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 28 + -31 + -5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79619011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: dc9 (base 15) to base 8\nAnswer: 6052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 + 0*z**2 - 41*z**2 + 26*z**2 - 3*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 10*y + 4 = 0. Suppose -12 - 14*b**y - 30*b**3 + 6*b**4 + 28*b**3 - 38*b + b**2 - 21*b**2 = 0. Calculate b.\nAnswer: -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 33) + -46 - -36?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402822?\nAnswer: 2, 3, 1067137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 50 = 0. Let j be 3*64\/12 + 1. Suppose -10 - j = -p. Calculate the remainder when p is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/5)\/(((-12936)\/(-490))\/(-132))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.296604 times -16.3\nAnswer: 4.8346452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 7*b**2 - 24*b**2 - 12 to x + a*b**2 + w*b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 105752740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-6))*x)\/x*x\/(x**(-1\/13)*x*x))\/(x\/x**6*x*x**4*x) assuming x is positive.\nAnswer: x**(53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/6179, 1\/15, -0.01?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.5, 4, -13\/238?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004310191313 to five dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from {y: 1, b: 2, l: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 599070 divided by -95.\nAnswer: -6306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (4 + (-26 - -14) + 10 - -37)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:20 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3098 = 20. What are the prime factors of q?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4 - 2*y - 3*y - 8. Suppose 2*r = 5*i - 15, -4*r + 29 = 4*i - 9*r. Let w(q) = -q - 1. Calculate i*f(j) - 4*w(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 77*d + 619. Calculate the smallest common multiple of a(1) and 145.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.5, 3.56, 48\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)\/m**(-2\/9))\/(m**(-15)*m*m*m*m*m**1*m) assuming m is positive.\nAnswer: m**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1968 - -3148. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 16 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/6)\/((-6)\/9). Determine g so that -s*g**2 + 3 + g + 4*g**3 - 3 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 127 + (-147 + 260 - 138).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Solve c - 5 + s = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3500 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (41 - 35) + -1 + 152. Let s = g - 141. Suppose -6 = -3*u + q, -6 = -5*u + 4*q - q. Solve u*m - 4*f - s = -m, -4*f = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -3 - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {o: 7, m: 8, h: 3, b: 2}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 406 + -2 + (-4)\/(-2 - -22). Let c = -18026\/45 + s. Find the common denominator of (1 - 7)*(-32)\/(-30) and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011011000110110 (base 2) to base 9.\nAnswer: -410612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-6) + (-7)\/(-39). Let h = 572.99 - 569. Let n = h - -0.01. Which is the smallest value? (a) -4 (b) n (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 8*q - 5 = -5*c, 0 = -5*q - c + 24 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 6*w**2 + 4*w + 24. Let q = 55 + -48. Let k be x(q). Suppose -2*a + k*h = -59 - 7, -3*a + 5*h + 101 = 0. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4052161, -8104313, -12156467, -16208623, -20260781?\n\"Answer: -z**2 - 4052149*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - a**2 + a - 2. Let w(c) = -9*c**3 + 8*c**2 - 8*c + 6. Let m(r) = -3*l(r) - w(r). Let y(q) = 30*q**3 - 24*q**2 + 24*q. Give -24*m(p) + 5*y(p).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 4*h + 1. Let x be k(-3). Let d = 9 - x. What is the highest common factor of d and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 581326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47, -80, -145, -260, -443?\n\"Answer: -3*f**3 + 2*f**2 - 18*f - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, 5, 2 in ascending order.\nAnswer: -20, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and -0.6.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 - 56*p**2 - p - 30. Let i(o) = 4*o**3 + 37*o**2 + o + 20. Let k(b) = -8*i(b) - 5*w(b). What is k(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602267 (base 12) to base 14.\nAnswer: 2ad6b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -19 - 14. Let w be 9\/(-6)*28\/(-6). Solve -t*b + 7 = r, -w*b = 5*r - 3*b + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.456 + -0.456. What is the third smallest value in -1, q, -6\/11, 8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((8\/2)\/2). Let b(v) = 2*v - 2. Let w be b(n). Suppose -y = -w*y - 11200. What is y rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 3*y**2 - 2*y - 4. Let g be r(4). Solve 0 = -3*f + d + 2, -11 = -g*f - 3*d + 9 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-75)\/(4\/60 + (-6)\/9). Suppose 2855 = 14*i + n. What are the prime factors of i?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = 13*m - 1013. Suppose 52*q + 20 = m*q. Let d(v) = -3*v**3 - 2*v**2 + 2. Let r(o) = 5*o**3 + 5*o**2 - 4. Give q*r(s) + 5*d(s).\nAnswer: -5*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/4410)\/(12980\/3293975 + 0). Let j = 2\/31801 - s. Find the common denominator of j and -95\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 3*s - 18, -75*l - 14 = -3*s - 76*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/(-4) + 4)*(-22)\/55.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22253588 and 21.\nAnswer: 66760764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.9 - 1.1. Let p = 21 + x. Let g = -2\/49 - -55\/147. Which is greater: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 11:04 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 121220545.3 to the nearest 10000.\nAnswer: 121220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h - 28*h - 171*h**2 - 2 + 171*h**2 + 2*h**3 as m*h**3 + j + x*h + g*h**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3314 - 3.1414. Let f = 0.05 - -0.05. Which is the third smallest value? (a) 0.2 (b) y (c) 5 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)*(13 + -15 - -1298). Calculate the highest common factor of p and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 + 13*l**3 + 3*l - 14*l**3 - 1 + 2 - 2*l.\nAnswer: -(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1208*c - 32 = 1216*c. Let g(x) = -x**2 + 6*x - 4. Let v be g(4). Sort -3, -2, c, v.\nAnswer: c, -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.6. Let v = -0.7 + m. What is the second biggest value in 4\/7, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 6*r. Let q be t(6). Which is the closest to 0.1? (a) -4 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -703, 3, -2\/9001?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 - -3?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (219 - 88 - 102)*(-2*u + 4*u + 0 - 1).\nAnswer: 58*u - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 7 = -4*u, 2*w - 1 - 5 = 0. Factor u*y + 22*y**2 - 35*y**2 + 2*y + 17*y**2.\nAnswer: 4*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2952 = 3*j - 2*q + 2948, j = q. Solve -3 = -4*t - 7, -j*x + 3*t = -11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (971*t - 971*t - 62*t**2)*(0 - 7 - 1)*(2 + 0 + 0)*(2 - 2 - 1)*(1 - 6 + 4) to the form n*t + a*t**2 + u and give a.\nAnswer: 992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -63435\nAnswer: 12687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-6)*2\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 102*w - 165*w + 1289988. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*c - 1353070, 51*c - 270629 = 50*c - 2*t. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence noo when three letters picked without replacement from {e: 3, n: 3, o: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 139 = -25*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -13 + 13 - (7 + -1). Is 356\/i*21\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873905 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 788641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 9. Suppose -k = -x*k. Suppose i - 2*i + 3 = k. What is the highest common divisor of 12 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 793303391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*d - 206 + 822 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3)*q*q)**(-4\/23)\/(q**(-2)\/q)**(-4\/19))\/(((q**(1\/4)\/q)\/q)**(-5\/3)\/(((q\/(q**(-8)*q))\/q)\/(q**(-2\/7)\/q))) assuming q is positive.\nAnswer: q**(52293\/12236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.2 - 1.5. Let f = -0.9 + j. What is the closest to 2\/7 in -2\/5, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 0. Let h be (2 - (1 + 1))\/w. Suppose -2*o**2 - 4*o + 3 - 5 + h*o = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, f: 3}. What is prob of sequence jf?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 - (4 - 54\/1). Suppose -x = -o - o. What is the greatest common divisor of o and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*h**2 + 3003 + 3*h**3 + 26*h**2 + 2*h**4 - 1206 + 2161 wrt h?\nAnswer: 8*h**3 + 9*h**2 + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2 + 2 + 8*o + 15*o. Let k(f) = -19*f - 8. Let q(w) = 12*w + 5. Let g(r) = -5*k(r) - 8*q(r). Determine g(c(u)).\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n + 12. Let r be q(0). Let t = r + -9. Find the third derivative of 2*o**6 - t*o**2 + o**2 - o**6 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 15 = 0, 0*t - 19 = -5*s + 3*t. Find the second derivative of s*i + 6*i + i + 2*i**5 - 4*i**5 wrt i.\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -3*o**8\/896 - o**7\/70 - 3*o**6\/320 + o**5\/80 + 10*o**2. Find s such that n(s) = 0.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -218, -251, -284, -317?\n\"Answer: -33*l - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 55, 83?\n\"Answer: 28*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 34 = -10*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2315 (base 9) to base 6.\nAnswer: 11535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 0*l - 762*l**2 - 48*l**2 - 4 + 2*l. Let w be o(-3). What is w rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 2 (c) 0 (d) 0.3 (e) -21.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*f + 4, 5*f + l - 35 = 3*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + t - 3 = 0, -5*q + 4*t - 5*t + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**3 - 4*k**2 + 5. Let v(i) = 0 - 39*i - 6*i**2 + 40*i + 5 + 2*i**2 + i**2 - i**3. Give 3*c(a) - 4*v(a).\nAnswer: -2*a**3 - 4*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 7400588?\nAnswer: -7400569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -254\/5 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 + 13*r - 26. Determine s(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*q - 44205 = -41433 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18468154217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 - 152.931. What is o rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Suppose -8 = 3*h - 5*z + 19, 0 = x*z - 6. Let q be -9 + 3 + 3 - -2. Sort q, 3, h in increasing order.\nAnswer: h, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.01 minus 0.2?\nAnswer: -170.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -3. Let m = 2.2 + n. Which is the closest to m? (a) -0.5 (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13667850.\nAnswer: 2, 3, 5, 7, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0791 + -0.079100492. Round k to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1369*x + 6. Let q(r) = 5228218*r + 22916. Let w(o) = -22916*k(o) + 6*q(o). Let p(i) = i. Determine w(p(c)).\nAnswer: -2696*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.35 or -5?\nAnswer: -2.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*t**2 - 14767305*t + 18459150.\nAnswer: -3*(t + 1230610)*(4*t - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 4. Calculate the smallest common multiple of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 345 = -3*q, 104 = -4*z + 5*q + 417. Suppose 29*k + z = 47*k. Solve -k*p = 6 + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 188*v - v**3 - 2 - 451*v**2 + 451*v**2 in the form m*v**3 + q*v + d*v**2 + h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13478 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 1.69, 0.1, 4, 175\/3?\nAnswer: 175\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w + 129*w - 16*w)*(-4*w + 4*w + 4*w)*(0 + 2 + 3) to the form t*w + x + y*w**2 and give y.\nAnswer: 2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b**2 + 137*b + 398. Calculate c(-3).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31995 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9792 and 0.3?\nAnswer: -0.89376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-4*sqrt(117) + sqrt(117) + sqrt(117)) + sqrt(117) + sqrt(117))\/((sqrt(72)*4)\/sqrt(8))*-1)**2*-2.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 267*x - 3 - 266*x as w + b*x and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4004*f + 80077. Determine z(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.73, -73?\nAnswer: 0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.19 + 0.2. Let v = 3.01 - s. Let k = 0.001 + -0.201. Which is the third biggest value? (a) 2 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30625 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(459)*-2 + sqrt(459))\/sqrt(3).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/6 and -47\/1872.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1120.51 + -1070.9. Let y = w - 50. Let a = y - -0.38999937. Round a to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*q = 365*q - 5978. Suppose 4*z + 4*i = 1192, -3*z + 18*i + q = 13*i. List the prime factors of z.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/21 + 8*m**5\/7 + 129*m**4\/14 + 76*m**3\/3 - 32*m**2\/7 - 768*m\/7 + 3414. Let d(u) = 0. Calculate u.\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b16 + 0?\nAnswer: -3b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12960, -12016, -10442, -8238, -5404?\nAnswer: -1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49590 and 38304?\nAnswer: 5554080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 87 = -10*v. Calculate the lowest common multiple of 56 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.9 not equal to 55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.54, 5\/6, -3 in descending order.\nAnswer: 7, 5\/6, 0.54, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3)*(-27)\/(-6). Let h = 0.5 + 1.5. Let i be 30\/(-12) - -2*2. Which is the biggest value? (a) i (b) h (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -735*g - 369*g**2 + 1 - 698*g + 1436*g - 2*g**3 - 2*g**4 to u*g**2 + w*g**3 + r*g + h*g**4 + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2 (b) 1 (c) -3068 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 2. Let t = 114607 - 114606. Sort c, -1, t, -10 in decreasing order.\nAnswer: t, -1, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-4 + -60*1). Suppose v*p + 635 = 65*p. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k. Let n(u) = -4*u - 3 + 0*u**3 - 3*u**3 - 4*u**2 + 4*u**3. Let j be n(5). Let h(v) = j*v + 3*v - 2*v. What is i(h(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.0603 (b) -4 (c) 0.5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/10*3\/(-108)*(-32)\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*t - 5*d + 8, -d - 12 = -3*t. Let h = -12 + 11. Let s = t - h. Calculate the remainder when s is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311439399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) -0.12 (c) -4 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 19 + 55)*(4*h - 2 + 24*h - 3*h).\nAnswer: 2800*h - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31470 is divided by 6291?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 - -2 - (2 + 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 200122?\nAnswer: -200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -198499, -198544, -198587, -198628, -198667?\n\"Answer: j**2 - 48*j - 198452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*r + 161 = 4*r, 2*v - 4*r = 114. Let j = -36 + v. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**8\/112 - t**6\/60 + t**5\/10 - 443*t**4\/2 + 475*t**2. Find the second derivative of r(f) wrt f.\nAnswer: 60*f**3 - 12*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -3, -5*x - 3*u = -26. Suppose -y + 6 = 2*t, -2*y = -x*t + 9 + 19. Let d be 3 - (-2 + t - 2). Solve d*z - 5*z - 12 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181 and 3682?\nAnswer: 666442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 162, 379, 682, 1071, 1546, 2107?\n\"Answer: 43*a**2 + 2*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (0 + (sqrt(13) - (sqrt(13) + 0 + sqrt(13)))))*-6.\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a day?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4\/5 + 14*k**3\/5 - 6*k**2 + 18*k\/5.\nAnswer: -2*k*(k - 3)**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3011114 (base 5) to base 16.\nAnswer: -ba2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/11 - 92\/(-22)*1. Suppose -s*t - 42 = -3*q, 4*q - t + 0*t = 43. What is the remainder when 68 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 11*t**2\/2 - t + 1. Suppose -5*k - 19 = 4*d, 2*d - 9*k + 5*k - 10 = 0. Determine g(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5347, -12332, -19327, -26338, -33371, -40432, -47527?\nAnswer: -54662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757105584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7125.017 millennia in years?\nAnswer: 7125017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 306*s + 87. Let l be t(-2). Is -524 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 3*o**2 + 4*o - 5. Let n be r(4). Let s(g) = -2*g**3 - 4*g**2 - 6*g. Let v be s(n). What is the greatest common divisor of 36 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, g: 7}. Give prob of sequence gk.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14547164.\nAnswer: 2, 3636791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -8, 321, 104 in increasing order.\nAnswer: -8, 1, 2, 104, 321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -28*z**5\/5 - 11*z**3 + 8. Find the third derivative of k(u) wrt u.\nAnswer: -672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1 + 8 + 5*x - 4*x**2 - 6 + 31*x**3 - 4. Is 8 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 535641563 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 5*k**2 - 5*k + 3. Let f(s) = -s**2 + 9*s + 13. Let d be (-2 - -6)\/((-4)\/(-10)). Let w be f(d). Determine t(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 7194*q + 57355. Determine j(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 26 - (20 + -1 + -5) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**3 - 4 + 4)*(8 - 13 + 8).\nAnswer: -15*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -179 - -179. Is ((-4)\/6 + u)\/((-77)\/6699) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 338.1541 millennia?\nAnswer: 33815.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + o - 1. Let i be h(-2). Let l(n) = n**2 - 13*n + 14. List the prime factors of l(i).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 275 (b) -20929\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/14 - -23\/56. Let b = -2 + 6. Suppose 3*v + 1 = b*v. Are v and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -0. Suppose -f*b - b = -6. Suppose 6*s = b*s + 36. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - m**4 + m**4)*(m + 0*m + 0*m + (-4 + 7 - 1)*(-5*m + 2*m + m) + 0*m + 0*m - 2*m).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 15 = -45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Let y be -15*((-14)\/10 - -1). Let w(b) = 6*b**2 - y*b + 6*b. Determine k(w(z)).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 146 = -5*f, 41 = -3*f + 47. Solve -70*p + v*p = -72 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + k + 1. Let q be t(3). Let x be (q + -1 + -1)\/1. Let l = x - -39. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 630505 not equal to 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, -16, -54, -106, -172, -252, -346?\n\"Answer: -7*o**2 - 3*o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 324*s + 159*s + 140*s + 11. List the prime factors of i(-15).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 305 - u**2 - 156.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*n**2 - 111*n**2 + 28*n**2 + 36*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + (-3 - (4 + -6)). Let k be -1 + -4 + t\/4. What is the units digit of k - 1\/(2\/(-40))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -314994 divided by -52499.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/120)\/((-12)\/120).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.25 + 47.2500003596. Round h to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126295275 and 6?\nAnswer: 252590550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29946, -29954, -29976, -30018, -30086, -30186, -30324?\nAnswer: -30506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((28\/35)\/2)*-2. Put -6, 10, w, -1 in decreasing order.\nAnswer: 10, -1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -405, -1594, -3571, -6336?\n\"Answer: -394*t**2 - 7*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + r - 10 = 0, 2*j = 4*r - 12. Suppose -2*h + 4 = -h. Sort j, 2, h in decreasing order.\nAnswer: h, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 17. Let o = -10 + f. Put 1\/2, o, 0.05 in descending order.\nAnswer: 1\/2, 0.05, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-42) + 43*554\/1204?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(132)\/(sqrt(72)\/sqrt(6)) + -5.\nAnswer: -5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2)\/(u\/((u*(((u*u**(2\/61)*u)\/u)\/u*u)\/u)\/u)*u))\/(u\/(u*u**(2\/57))*u*u\/(u*u**(5\/8)*u)) assuming u is positive.\nAnswer: u**(-50267\/27816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 3*b - 15. Suppose 0 = -c + 4*s + 7, -b = -3*c + 3*s + 2*s. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 - -1.95. Suppose 15 = 4*m + 3. Let f = 0.24 - -0.16. What is the nearest to -0.1 in f, i, m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*l - 5075. Suppose -5*o = -l + 270. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*z + 360 + 213 = 153 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l - 125 = 4*x, -2*x = -l + 135. Let r = l - 97. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/22*(-4)\/(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 272*p**2\/7 - 18702*p\/7 - 18972\/7.\nAnswer: 2*(p - 51)*(p + 1)*(p + 186)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*a - 4*a - 32 = 0, 1961*l + 3*a - 229 = 1956*l for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*t + 82 = -2*h, -5*t = 4*h - 161. What is the remainder when h is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -26*b**4 + 74*b**3 - 4*b**2 - 96*b + 24. Let k(w) = -w**3 + w**2 + w + 1. Let c(f) = -8*k(f) + t(f). Find y such that c(y) = 0.\nAnswer: -1, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.16, 77, -63, -2?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1257.\nAnswer: 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542*t = -550*t. Solve t = 7*i - 4 - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 x, and 1 t when four letters picked without replacement from pxpxptxtxtpbbptz?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 21 = -g, -61*g + 57*g + 70 = -2*o for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145679 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*c + 27059751 = 3272887. Round c to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**3\/7 - 129022*s**2\/7 - 903076*s\/7 - 1290080\/7 = 0. What is s?\nAnswer: -64504, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 at most as big as 307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of (-70)\/(-10) - -1948 - 5\/(3 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 10\/(-5) - 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**2 - 144 + 299*l**3 + 144 + 3*l**2 in the form k*l + x + c*l**2 + r*l**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 241. Are -161 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = -8. Let y(g) = -g**3 + 3*g**2 - 2*g. Suppose 4*m = 6 + 2. Let d be y(m). Solve -x*k - 5*o - 16 = d, 5*k - 3*k + 4*o + 14 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 207968 and 3977?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 14 = r. Solve 26 - 10 = -r*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115 or 5820?\nAnswer: 5820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 918 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 + (-23716)\/(-448))\/1?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -515276163 divided by -56481\nAnswer: 9123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202010 (base 3) to base 9.\nAnswer: -1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 - 7*l + 12. Let n(w) = -11*w**2 - 14*w + 24. Let s(a) = -13*d(a) + 6*n(a). Is s(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2139 = 87*n + 2472 for n.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119365607 to the nearest integer?\nAnswer: 10925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2, -45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 27. Let s = -2131\/284 - -18\/71. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/7 - 128*i**4\/7 - 4222*i**3\/7 - 1152*i**2 - 567*i.\nAnswer: -i*(i + 1)**2*(i + 63)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19904912\/915 + 21754. Let d = -72293\/3660 - q. Calculate the common denominator of d and 67\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:34 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, c: 2, o: 2, z: 1, b: 3, l: 2}. What is prob of picking 1 c and 1 z?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*j + 839 + 41 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/18 + (1 - 3). Let v = -4 - -6. Suppose 3 = -3*f, 2*m + v*m - 2*f + 18 = 0. Is o < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6850\/3 (b) 1 (c) 22 (d) 2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2630, 10537, 23708, 42143, 65842, 94805?\nAnswer: 129032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a millennium in years?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111324323 (base 5) in base 2?\nAnswer: -1111000111111100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128041 is divided by 1703?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1531\/1269 - 32\/27. Is 0 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 2*c**2 - c. Let b = 8 + -15. Let k = b - -8. Let w be y(k). Is w less than or equal to 10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 266 (c) 2 (d) 5 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.8429 - -0.0371. Let i = 0.12 + l. Let a = 31.99999987 - i. Round a to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-48))\/(((-4)\/7)\/(77\/(17787\/(-66))))\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.26. Round v to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of n**4\/2 - 74*n**3\/3 + 71*n**2 - 70*n + 168. Let h(g) = 0. Calculate g.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1, -0.42, 3, -2\/11 in descending order.\nAnswer: 3, -2\/13, -2\/11, -0.42, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/(-3)*(-6)\/35*-7. Let v be 18\/5 + z\/(-60)*6. What is the greatest common divisor of v and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6*-2 + -4. Let m(g) = 7*g**3 + 5*g**2 - 6*g + 4. Let u(n) = -6*n**3 - 5*n**2 + 5*n - 4. Let v(l) = -5*m(l) - 6*u(l). Calculate v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -126*i + 1072*i + 1557*i to the form p*i + t and give p.\nAnswer: 2503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 6*i = -5*i - 4, 4*l - i = -6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(684)*-2) + 5.\nAnswer: 5 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 6639*o - 13292*o + 6713*o.\nAnswer: 60*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -174 by 3.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 580 and 509305540?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-21504)\/1152)\/((-32)\/(-2))\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 14 = -4*z + 11, -z + 2*x = -8. Suppose 6*v = 3*v + z. Solve 2*s = -8 - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/4, -2\/19, 7, 2, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = 105. Let f = 50 - 18. Let p = f + w. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1242*m - 263. Let b(p) = -777*p - 164. Determine -19*b(x) + 12*r(x).\nAnswer: -141*x - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 665 + -257?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:55 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 266.064 and -5?\nAnswer: 271.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 37*y + 16. Give u(-7).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6417 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d + b + 11 - 0, 1 = 5*d + 3*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 - n. Let a(s) = s**3 - 27*s**2 - 9*s - 61. Calculate 2*a(f) - 18*v(f).\nAnswer: 2*f**3 - 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - s**2 + 3*s - 54. Calculate the remainder when 754 is divided by j(-6).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 8, i: 2, s: 9}.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 60*p**3 + 32*p**2 - 14*p - 4. What are the prime factors of w(6)?\nAnswer: 2, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/9 + 47890*y\/3 + 574696\/9.\nAnswer: -(y - 143674)*(y + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1859936*l**3 + 15*l**2 + 12. Let k be f(-9). Suppose -41*g - k = 234905429. Round g to the nearest one million.\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 8*z**2 - 5*z - 10. Let q be x(9). Suppose -q*b = -21*b - 30. Let d be 8\/6 - 4\/(-6). Calculate the greatest common divisor of b and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25742 and 12078?\nAnswer: 2548458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -524\/5? (a) 2 (b) 0.1 (c) -1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let j(s) = -86329*s + 170. Calculate y(j(c)).\nAnswer: 258987*c - 510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424.905 rounded to the nearest ten?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 27 + -83?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1702*m. Let z(k) = -26*k - 6. Let a(i) = -22*i - 5. Let u(r) = 6*a(r) - 5*z(r). Determine g(u(s)).\nAnswer: 3404*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1.1?\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 25*v**3 - 3653*v**2 + 7227*v - 3600.\nAnswer: (v - 48)*(v - 1)**2*(v + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 - 7197 - 11*q + 9*q - q**2 + 4*q**2 + q**2 as h + p*q + d*q**2 and give h.\nAnswer: -7197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + 9*u - 147. What is the remainder when 82 is divided by (1 - -5)*u\/(-14)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 507161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 20243?\nAnswer: 20303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1\/10 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14024 + -14022. Let x(d) be the first derivative of -8\/3*d**3 + 1\/2*d**p - 39*d - 22. Find the first derivative of x(f) wrt f.\nAnswer: -16*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.044 (b) 51 (c) 10.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9408 and 439236.\nAnswer: 7027776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/5)\/(2\/(-10)). Suppose -2 = w*a + 4. Is (4\/a - -3)*57 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-162))\/((-604)\/453)*3?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/(-238))\/8*1 + 62\/527. Which is the closest to 21? (a) -0.5 (b) -1\/6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 516 = 132. Let f(s) = 92*s + s**3 - v*s - 4 + 0*s**3 - 3*s**2 + 0*s**3. Determine f(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -207 + 204. Put r, -4, 6, 5 in descending order.\nAnswer: 6, 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 21)*(13 + -8 + -6). Let v be c\/(-3)*((-38)\/(-7) - 5). Solve v*b - 4 = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1674107573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + t - t + 4*t - t - 2*t + (3*t - 2*t + t)*(6 - 2 - 2) + 2 - t - 2 + 45 + 47*t - 45)*(-t + 4*t - 4*t).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -68235.4381065.\nAnswer: -68240.4381065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5322\/5 - 170639\/160. Let b = 8016 + -160227\/20. Calculate the common denominator of b and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 - 2*h**2 - 6*h + 7. Let c be s(-5). Let t = -158 - c. Calculate the highest common divisor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17796, 35945, 66198, 108561, 163040, 229641?\nAnswer: 308370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 858246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321231011303 (base 4) to base 11.\nAnswer: 85a2077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*f = -44, -3*g = -4*f + 2*f + 26. Let j be g\/24 - (39\/12 - 3). Let o = -0.7 + -0.3. Sort -0.1, j, o in ascending order.\nAnswer: o, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - z - 1 = 0, 5*s = 7*z - 2*z + 10. Let l = -19\/40 + 3\/40. What is the biggest value in 4, s, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4475694638.2636603776 + 4475694667. Let i = 0.1636586076 + h. Let u = 28.9 - i. Round u to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 14. Let d be s(9). Solve 0*n - d*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 9. Let x be l(10). Let d = -29 + x. Sort -0.2, 0.2, 0.4, d in decreasing order.\nAnswer: d, 0.4, 0.2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**3*t**3*x**2 - 2*r**3*t - 22*r**2*t**3*x**2 + 11*r**2*t**2*x**2 - 3*t**2*x**2 wrt t?\nAnswer: -12*r**3*x**2 - 132*r**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 40*v**2 + 44*v + 112. Calculate q(-41).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-259)*2\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47*a**3*f**3*w**3 - 592*a**3*f - 827266*a**3*w**3 + a**2*f**2*w**2 + 22052*a*f**3*w - a*f*w**2 wrt w?\nAnswer: 282*a**3*f**3 - 4963596*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.06 (b) 40 (c) 2\/13 (d) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and -61.7.\nAnswer: 6170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 6:58 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*a - 0 - 6, 4*a = -w + 30. Suppose 2*t = a*t. Suppose 2*r + 2*r - 2*s - 18 = t, 0 = -r - s + 9. Calculate the greatest common factor of r and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*r + 53*r - 28*r - 19*r + 73 to w + d*r and give d.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 4269104*h - 1139078060176.\nAnswer: -4*(h - 533638)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * -118.5811.\nAnswer: -4980.4062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11118146.\nAnswer: 2, 13, 427621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/12*256\/(-12). Suppose -3*h - 166 = -6*z + 2*z, -z + y = -4*h. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*i - 5*t, -3*t = -4*i + 6 + 3. Suppose -5*j + m = 0, -145*j = -142*j - 9*m - 84. Put -9, j, i in decreasing order.\nAnswer: i, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 407142799 and 8263.\nAnswer: 8263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67 - (-162 + 158 + (-4 - -9)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1\/5 (b) 1\/3 (c) 9 (d) -3301\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k + 31*k. Factor 6\/7*z**3 + 3\/7*z**2 + k - 3\/7*z.\nAnswer: 3*z*(z + 1)*(2*z - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 13. Let p = 67 - 63. Let c(a) = a + 6. Calculate p*n(b) + 9*c(b).\nAnswer: -3*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 161*r**2 - 204*r + 4374. What is the units digit of h(-160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c197 - -931?\nAnswer: -1b566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 98289724?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2317070 and 23700.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -114658, -114670, -114694, -114736, -114802, -114898?\n\"Answer: -p**3 - 5*p - 114652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52*f**3\/3 - 14*f**2\/3 + 22*f.\nAnswer: -2*f*(f - 1)*(26*f + 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**5 - 4017*w**4 - 140662*w**3 - 292191*w**2 + 140666*w + 296208 = 0. What is w?\nAnswer: -968, -34, -9\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, 1, 49 in descending order.\nAnswer: 49, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 292300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 230117871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, u: 3, z: 6, f: 1}. Give prob of sequence zfu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 57415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 193 = -5*w, 5*b + 15*w = 13*w + 200. Calculate the remainder when 154 is divided by b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1819 - 5?\nAnswer: 1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23767478 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 4*b + 0*b = -24, 0 = b - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1340 + 3521. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 + 0.1. Suppose 22*z - 12 + 78 = 0. What is the closest to z in c, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 7:53 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2322311 - -1?\nAnswer: 2322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -475 - -495 - (-25 + -3 + 1)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -312, -630, -948, -1266, -1584, -1902?\n\"Answer: -318*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, x: 4, p: 2, c: 3, n: 2, t: 2}. What is prob of sequence nu?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven eighths of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405087210 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: Sort -93, 0.3, 0.9, -14, -94.\nAnswer: -94, -93, -14, 0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 150*m - 1509. Let w be d(-9). Solve -3*a = -w*g + 3, -4*g = 5*a + 21 + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 180551.4kg?\nAnswer: 180551400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22932 and 798?\nAnswer: 435708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 21 - 3. Let w be 9\/(-27) - 4\/t - -2. Solve -a = w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 5*q + 2 - 4*q + 11 - 13.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - 147*v - 22. Let q be f(7). Is q greater than or equal to -2123\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 9777*m + 467020. Determine s(-48).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 9\/2*w**2 - 12*w - 5\/6*w**3 + 3 + 1\/12*w**4. Let b be g(3). Solve -2*o - 26 = -4*y - 7*o, 0 = -2*y - b*o + 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -106*d + 1588. What is the hundreds digit of h(-46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 46. Let k be o(-7). Suppose -11*a = -12*a - k. Let v be 10\/a - ((-97)\/6 + -1). Solve 4*j = -5*d - 13, -4*d - v = 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-815)\/20 - 1\/4. Let s = y + 61. Solve -5*k - s = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 + 8 = y, 16 = -3*p + y. Calculate the common denominator of 129\/9*p\/(-28) and -55\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 1)*(0*n**2 + n**2 - 6*n**2) - 2*n**2 + 2*n - 2*n - 2*n**2 - 5*n**2 + 2*n**2)*(7 + 7 - 7)*(-3 - 1 + 6) in the form r*n + x*n**2 + a and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 791*u - 2388. Calculate a(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546472751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101010000110?\nAnswer: -101010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -65*h - 1312. What is i(-25)?\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2481\/7 + -355. Which is the closest to 2? (a) -3 (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + (sqrt(475) + -3)*-6 + sqrt(475) + (1 + sqrt(475) + 3 - sqrt(475)))*-6.\nAnswer: -132 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = -4*l, -4*r = r. Suppose l*t - 3*t = -40. Calculate the greatest common divisor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 2. Let u be b(-6). Suppose 7*a = 5*l + 8*a - 17, -3*a + 12 = 2*l. Solve -u*g + l*g = -3*k + 10, 2*g - k = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100)*-4)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**7\/840 + v**6\/45 - v**5\/15 - v**4\/24 - 3*v**3 - 7. Let q(x) be the third derivative of s(x). Is 13 a factor of q(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6882837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/25 and -68\/735.\nAnswer: 3675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b5b + 930?\nAnswer: -22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1205879?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 133288 to the power of 1\/2, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79035.\nAnswer: 3, 5, 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 22, 37, 54, 73, 94, 117?\n\"Answer: j**2 + 10*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6445 by -5.\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24878 and 23282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 5866*c**2 + 842*c**2 + 11.\nAnswer: 6708*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183544*u + 13793 = -184605*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t + 2*t**2 - 5*t**2 + 3*t)*(1 + 2 - 1)*(3*t + 7*t + 25*t) to f*t + g*t**3 + v*t**2 + c and give g.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*l - 23616 = -110*l. List the prime factors of l.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 15*k**2 + 10*k + 24. Does 15 divide j(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 15, -5*c - 6 = -y - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3 - 2 - 113*m**2 + 114*m**2 + m. Let b(i) = -23066 + 11*i + 23*i**2 + 23077 - 11*i**2. Suppose h + 3 = 1. Calculate h*b(v) + 22*j(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 29*y - 5. Let r(s) = s**2 + 15*s - 3. Let o = -6413 + 6416. What is o*v(z) - 5*r(z)?\nAnswer: -2*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 5:28 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 346*z - 4 + 346*z to the form r + p*z + w*z**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Suppose f = -2*u + 8, u = -4*f + 6*u - 7. Let g(c) = -c**3 + 0*c - 12 - p*c**2 - c + 3*c**f. Calculate g(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6618284 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2203443 and 891.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61 and 1769?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91693 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145861 divided by 188.\nAnswer: -145861\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2781 and 0.5.\nAnswer: 1390.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (400\/(-120))\/((-1)\/(3\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(4*(sqrt(9) - sqrt(9)*-1) + sqrt(9)) + 1 + -1)**2.\nAnswer: 5\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:44 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -s - 5*o, 4*s + 2*o = -0*s + 102. Calculate the common denominator of -35\/18 and s\/(-125) - 428\/(-765).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14058 divided by 2?\nAnswer: -7029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 - -0.643.\nAnswer: 34.643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (39\/(-26))\/(6\/(-16)). Solve 4 + 8 = -c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, f: 6, r: 1, v: 5}. What is prob of picking 2 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2444186)\/(-252) - (-8)\/(-36). Let m = q + -9703. Calculate the common denominator of m and -31\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 8.331911ml?\nAnswer: 0.008331911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j - 12. Let g be x(18). Let h(q) = -q**3 + 5*q**2 + 8*q - 7. Let u be h(g). Suppose 0 = u*z + 3*z - 144. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0, 1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 10*p. Let j(f) = -161 + 5*f + 161. Calculate j(u(r)).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 36. Suppose 5*n = 205 - o. Let d be (3\/n)\/(10\/(-40)). Which is bigger: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 2 - 3 + 2*c**2 - 1 + 4. Let o be x(-3). Let h = 17 - o. Solve h*l + 4 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Suppose 3*y - 25 = -v*y. What is the greatest common divisor of 45 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 436 - 433. Calculate the greatest common factor of 57 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/18*6)\/(-8*6\/(-216)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - 1. Suppose 114*y + 629 - 3137 = 0. What is the lowest common multiple of 1\/2*36*j and y?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-1 - (0 - 0)). Let v be (-11 - -5) + 56\/8. Let t = v + x. Solve -4*r + 3*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252911 and 6?\nAnswer: 1517466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 126235?\nAnswer: -126236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*x = 110*x + 3. Solve -3*n = 5*s - 35, s - 2*n = -x*n + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000666 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(-2)\/(-1 + -1). Let p(a) = -24*a + 22. Let c be p(1). Put -4, y, c in descending order.\nAnswer: y, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*-403255\nAnswer: 5242315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3199 divided by -297.\nAnswer: 3199\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -559476614 + 155925558. Suppose y = 6*d + 4767728. Suppose 0 = -3*q - i + 16020003, -3*q + d = 5*i - 3*i. Round q to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12488490 divided by 5418\nAnswer: -2305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(66)\/(2*sqrt(539) - sqrt(539)))\/(sqrt(363)*1 - sqrt(60)\/sqrt(5)).\nAnswer: 2*sqrt(2)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-5484)\/14)\/(4 - (-29)\/(-7))?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 522 + -140. Suppose -z - 104 = -3*a. Calculate the remainder when a is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 3*b**2\/2 - 2. Let r(x) be the second derivative of x**4 + 2*x - 174. Give j(r(t)).\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5046 divided by 3.\nAnswer: 1682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011011001000110 + 1000?\nAnswer: 10101011011001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**3\/11 - 938*v**2\/11 - 22080*v\/11 - 131616\/11 = 0.\nAnswer: -914, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31661 = -i + p, 10*i - 15*i + 2*p = -158305. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 63856421?\nAnswer: 1\/63856421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n**(-10)\/n))\/n**(1\/21)*(n**(2\/3))**(-16))**(-23) assuming n is positive.\nAnswer: n**(-207\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**28\/n)\/n)\/(n*n*n**(-41)*n*n*n*n))\/((n*n*n**(2\/9))\/(n*n*n*n\/((n*n**(-27))\/n*n))) assuming n is positive.\nAnswer: n**(799\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-3)*36\/(-16). Suppose -5*c + k = -2*c. Solve -u + c = -0*v + 5*v, -4*v = -u + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/40 + 6*x**5\/5 - 165*x**4\/8 + 121*x**3 - 49*x**2\/2 + 64*x. Let a(q) be the first derivative of h(q). Factor a(s).\nAnswer: -3*(s - 11)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 322.848 + -322. Round u to 2 dps.\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -13, 1, -5.\nAnswer: -13, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 p when three letters picked without replacement from ppppppppppwp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + ((-33)\/(-4))\/1. Let m(c) = 2*c**2 - 6*c - 4. Let a be m(k). Suppose 33 = 2*g - 5. What is the greatest common factor of a and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**4 - 4*y**3 + 2*y**2 - 2*y. Let u(s) = 6*s**4 - 11*s**3 + 7*s**2 - 7*s. Let m(p) = -14*g(p) + 4*u(p). Factor m(o).\nAnswer: -4*o**3*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*x + 61*x = -5*v + 673, 0 = 3*v - 4*x - 383. What is the remainder when v is divided by 41?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s + 3. Let n = 5 + -2. Suppose -2*m - n*m + 6 = a, -5*m = -5*a - 30. Put a, 1, s in descending order.\nAnswer: s, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -26*n. Let v(b) = -11*b**2 + 125*b + 1. Calculate u(v(d)).\nAnswer: 286*d**2 - 3250*d - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 64 = -x, 4*c - 5*c = 3. Let l = x - -79. Solve -w + 16 = l*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 478+-3378890174\nAnswer: -3378889696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1012463232 by -253115808.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76152.52 litres to millilitres.\nAnswer: 76152520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o + 275*o**3 + 375*o**3 - 64*o**3.\nAnswer: 586*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 73*c - 1203. Let l be t(-14). Solve 23*v + 266 = -l*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -65 + (-2)\/1. Let v = s - -95. Let g(i) = i**2 + 3. Let j be g(0). What is the highest common factor of j and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 16. Let h be t(-4). Suppose 0 = -c + 4*f - h*f + 8, 0 = -4*c + 4*f + 44. Solve 5*y + c = 4*z, 4*y + 0*y = 4*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**5\/20 - 11*x**4\/6 + 4*x**3 + 23*x**2\/2 + 24*x. Let y be r(-23). Let k be 20 + 1*y\/1. Is 41\/2 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -40*x - 11. Let t be (-3 - 0)*(-4)\/(-6). What is the units digit of p(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - 4. Let t be l(4). Let p = t - -2. Let s(g) = 8*g**3 + g**2 - g - 1. What is the tens digit of s(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9\/2, -7, 5, 2.59, 1, -1\/6 in ascending order.\nAnswer: -7, -1\/6, 1, 2.59, 4, 9\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169483713?\nAnswer: 3, 7, 8070653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/50)\/((-45)\/225)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -1\/6 (b) 0.4 (c) -6 (d) -4 (e) -289\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2935 = -15*b + 32680. Let g(l) = b + 4*l - 1983. Let n(u) = -u - 4*u + 0*u. What is g(n(a))?\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-28)\/21)\/((-4)\/(-6)). Calculate the remainder when (0 - -2)*(-47)\/y is divided by (-8)\/((-1)\/(-2 + 5)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179 + 15*v**2 - 12*v**2 + 144 + 130.\nAnswer: 3*v**2 + 453","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 17*l + 1. Suppose -d = -2*w - 9, -5*w = 2*d - 4*d + 23. Determine j(d).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 19 + 9 = 0. Let d be 2\/(-16)*p*1. Let i = d - -5\/8. What is the smallest value in 2\/11, i, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 31*s - 20*s. Let g(n) = -2*n**3 + 6*n**2 - 5*n - 1. Determine g(s).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(0 - 4) + 0. Suppose x = -5*q + 4 + 96. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67998*s**3 + 1734*s**2 + 14?\nAnswer: -407988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, d: 2}. Give prob of sequence ddoo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 13*u - 3. Let j(h) = 3*h - 1. Let t be (1 - 2\/(-1)) + (-12 - 0). Let r(o) = t*j(o) + 2*f(o). What is r(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, j: 2, e: 4, n: 2, y: 1}. Give prob of sequence ngej.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1796, 1666, 1534, 1400?\n\"Answer: -a**2 - 127*a + 1924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9765 - 16587 - 18350 = 812*m for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36\/5 - 12\/5*n + 3\/5*n**2 = 0. Calculate n.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-55)\/(-20) - (2 + 9\/(-4)). Suppose 3*u - z*n - 9 = 2*n, -43 = -5*u - n. Solve 5*v + 4*r - 4 = 0, 0 = 4*v + 2*r - u for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, -4, 2\/3, -1\/3, 3\/7, 1\/3, -4.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -475, -1928, -4349, -7738?\n\"Answer: -484*r**2 - r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147585*w**3 + 68001?\nAnswer: 442755*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - ((-14 - (3 + -7)) + 10 + -4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6951\/2 in -3\/8, -1, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 + 2514. Suppose 0*c + c - 446 = 0. Let u = x - c. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 772 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 * 34.52.\nAnswer: -0.79396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 762500 = k, -4*k + 0*q + q = -3049981. Let w be k\/126 + (-4)\/(-6). Let m = w + -6048. What is the common denominator of m and 83\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 2377\nAnswer: -475.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0)**(35\/6)*(a**(2\/9))**46 assuming a is positive.\nAnswer: a**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6 - 17*u - 3 + u - 3 + 3 + (0 + 2*u + 0)*(1 + 0 + 0) - 3*u + u + u to the form b + d*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 207341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 717*x**6 - 22009*x**5 - 7297*x**2 - 114*x?\nAnswer: 86040*x**3 - 1320540*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5\/7 - 8694*t**4 + 2914272*t**3\/7.\nAnswer: 3*t**3*(t - 20238)*(t - 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34039489 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3 = z + 6, -k = -3*z + 7. Solve -1 = k*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*f - 3387 + 444 = 6095 + 8364 for f.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4\/3 (c) 25 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = -1. Suppose 0 = 2*g - 0*g - o. Let c = -13 + 29. What is the smallest common multiple of g and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 3*l**2 - 2*l + 3. Let b be (7\/14)\/((-1)\/(-10)). Suppose -i + a - 7 = 0, -b*a + 24 = -i + 5. What is y(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 79*d + d**2 - 79*d. Let j(l) = 4*l. Calculate p(j(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 1460 = 414. Let i = b - -819. What are the prime factors of i?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 15*f**4 - 61458*f**3 + 62741259*f**2 + 432335880*f - 2918017872 = 0?\nAnswer: -11, 21\/5, 2052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 2733*s**2 + 2737*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -238 + n**3 + 21*n**2 - 3*n**2 + 470 + 2*n - 205. Calculate d(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 6. Let u = k - -14. Sort 2\/49, u, -5 in decreasing order.\nAnswer: u, 2\/49, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5814*c**2 - 1923*c**2 - 1969*c**2 - 1924*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 1:57 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -33033.\nAnswer: -5\/33033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -51?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z - 1. Let u(p) = 8*p + 3. Suppose -5*o + 9 = 2*r + r, 2*r - 4*o - 6 = 0. Suppose -4*i = 4*a + 28, r*a + 35 = -5*i - 4. What is i*d(n) - 2*u(n)?\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -16, z + 4 = 3*l - 4*l. Put -1, l, 4, -10 in increasing order.\nAnswer: -10, -1, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 43*b. Let r(f) = 689*f. Calculate -65*l(h) + 4*r(h).\nAnswer: -39*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s = -17*s - 4*l, -5*s + 23 = -3*l. Let z(r) be the second derivative of 0 + 1\/6*r**s + 10*r - r**2 + 0*r**3. Factor z(k).\nAnswer: 2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2990 and 11462970.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - 1. Let b be h(-1). Suppose -1 = b*c - 9. Let f = -2 - -6. Solve 5*y - 3 - c = -5*k, y - f*k + 9 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 31 - (-13 + 1) - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 1423*c**4\/4 - 11*c**2\/2 + 55*c + 59. What is the second derivative of l(s) wrt s?\nAnswer: 8538*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 12\/16)*1752. Let v be q\/(-9)*(0 + -1). Let l = v - 101. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991282601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (-4519)\/18076*(-16)\/(-62)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -75, -80, -85, -90, -95?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 136013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*g + g - 8*g + (2 + 0 - 3)*(-g - 18*g - 21*g + (-3 + 2 - 1)*(0*g - 5*g + 3*g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + i + 44. Let p be u(0). Let y = p - 42. Suppose 50 = -2*b + 3*n, y*b - 2*n + 44 = -4. Which is bigger: b or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-165)*103059\/37476?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 - -328. Let l = 193 - f. Which is the third smallest value? (a) 0.01 (b) l (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 193 + -68. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -2*b + 7, 3*b - 5*h - 13 + 3 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 8. Let w(d) = -d + 4. Let s(f) = -3*h(f) + 5*w(f). Let k = -15 + 58. Let j(u) = -k + 2*u - 3*u + 44. What is 7*j(c) + 2*s(c)?\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130*k*u**2 - 4171707*k*u + k + 12949*u**2 + u wrt u?\nAnswer: -260*k + 25898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - -2. Suppose z = -z + y. What is the first derivative of -1 - p**4 - z - p**4 wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**7\/70 - 7*d**6\/25 - 57*d**5\/25 - 10*d**4 - 128*d**3\/5 - 192*d**2\/5 + 19*d. Factor s(q).\nAnswer: -3*(q + 2)**3*(q + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3104 + 0.0896. Let m = 1.8 + -2. Let g be 12\/(-18) - (-8)\/21. Which is the nearest to m? (a) -5 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2346 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24 - -23)*172\/1. Let p = 230 + y. Does 37 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21091184 and -23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + sqrt(21)*-2*6)\/(sqrt(30)\/(sqrt(10) + sqrt(40))) + (2*(5 + (sqrt(567) - sqrt(567)*-1)))**2.\nAnswer: 687*sqrt(7) + 9172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 104*c + 100.\nAnswer: 4*(c - 25)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 1412*c**2 + 12668*c - 360 = 0. Calculate c.\nAnswer: -9, 10\/353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 13*q**3\/3 + 51*q**2 + 22*q - 1. What are the prime factors of o(34)?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {q: 3, i: 1, s: 5}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10023 = -4*j - 5*u, -2*j + 55*u - 54*u = 4987. Which is bigger: j or -2496?\nAnswer: -2496","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.4 + 0.6. Let j = o - 28. Let l = j - -19.05. Which is the third smallest value? (a) l (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, -8, -10, -14, 6 in ascending order.\nAnswer: -14, -10, -9, -8, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 4, 2*z + t - 2 = 0. Let p(v) = -6*v + 83. Let d be p(13). Put z, d, -15, -0.2 in increasing order.\nAnswer: -15, -0.2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1693 or -1677?\nAnswer: -1693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 3 = 2*l. What is the highest common factor of 462 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*m + 48*m**2 - 55*m**2 - 5*m**3 + 4*m**3 to the form a*m**2 + o*m + h + j*m**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 2*t**2 - 2*t**2 - 2*t + 2*t - 3. Let i be p(-5). Let m be i\/4 + 8\/16. Solve -3*w + 3 = 3*z, 2*z + m = 5*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 - 39. Suppose j = -o + 4*x - 39, -4*o + 3*x - 156 = 6*x. What is the remainder when (o\/2)\/((-15)\/50) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k**3 - 18*k**3 - 67*k**3 - 3*k**3.\nAnswer: -112*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*w**3 - 3 + 5 + (6*w**2 - 7*w**2 + 4*w**2)*(30 - 30 - 30*w))*(-3*w + w + 0 + 1) to the form a*w**3 + g*w + l*w**4 + u + i*w**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*l - 2*l + 1, -l - 7 = -3*x. Let 12*k**2 + 23*k**2 + 4*k**x - 47*k**2 - 20*k - 8 + 6*k**4 - 2*k**4 = 0. Calculate k.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22.283 times 0.0381\nAnswer: 0.8489823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -8*t + 27. Solve 7*a - t = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 746768 and -2.9.\nAnswer: -2165627.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 8*i**2 - 21*i - 17. What is the units digit of z(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-54)\/135)\/(2*(-1)\/(-856)). Let h = q - -3338\/15. Let p = h - 51. Sort -48, 0.1, p.\nAnswer: -48, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + 0 + (822\/(-120) - -7)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**3*n - 1787*f**3 + 96*f**2*n - 2392*f*n - 3*f - 303*n wrt f?\nAnswer: -6*f*n - 10722*f + 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2446*p**5 + 1151*p + 1?\nAnswer: 48920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + -1.43809?\nAnswer: -1.45809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1061*n - 16753 = 56523 + 13726 for n.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2 + 8*c*o**2 - 13*c + 2*o**2 + 588 wrt c?\nAnswer: -2*c + 8*o**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7859 + 109971\/14. Find the common denominator of r and -2 + (3 - 284\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c979 (base 15) to base 11.\nAnswer: -2a043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 10.9 (b) -1\/9 (c) -2\/9 (d) -14 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**5\/7 - 274*o**4\/21 - 82*o**3\/7 + 338*o**2\/21 + 76*o\/7 - 64\/21 = 0. What is o?\nAnswer: -1, 2\/9, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 8*s**4 - 2*s**4 + (-74 + 47 - 34)*(-2*s + 2*s + 2*s**4).\nAnswer: -119*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**4 - m**2 + m**2 + (-2*m**3 - 3 + 3)*(-4*m - m + 4*m) + 3*m**4 - 1 + 1 - 4 + 4 - m**4.\nAnswer: 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1654?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 266910405 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3974*o + 7840*o + 44440 = 4270*o for o.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355442 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veeeveevveeev. Give prob of picking 1 e and 3 v.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -142838, -571217, -1285174, -2284703, -3569798?\n\"Answer: t**3 - 142795*t**2 - t - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5*k*k*k)\/(k\/(k*k\/(k*k\/(k*k*(k*k*k\/(k\/k**8))\/k*k*k))*k))*(k\/(k\/k**(2\/11)*k)*k)\/(k*k**3) assuming k is positive.\nAnswer: k**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1309 - -1325. Put l, -14, -2\/7 in descending order.\nAnswer: l, -2\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/66 + -1 + 370\/22. Let k(y) = y**3 - 17*y**2 + 18*y + 3. What is the tens digit of k(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 450\/11 + -1625\/33. Find the common denominator of 5\/15*(-1 - -62) and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0\/(2 + 0). Let w(h) = 4*h**3 + 3*h**2 + 6*h + 2. Let q(s) = -9*s**3 - 6*s**2 - 13*s - 4. Let n(g) = 3*q(g) + 7*w(g). What is n(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 - 15. Suppose -431 = -2*u - 101. Suppose -u = -2*w - b. What is the highest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 10*h - 23 - 4156. What is the remainder when h is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y**3 - y. Let j be 3\/4 - (-9)\/(-12). Suppose 0*k - 5*k + 5 = j. List the prime factors of l(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-9 - (-1752)\/108 - 7)*(0 + 31).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16889613 by -734331.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 16*v + 14. Let y be t(-7). Let x = y - -85. Suppose -x = 5*k - 126. Is k 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 hqqajwmqhmqw. Give prob of sequence hm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*f**3*x**2 - 2*f**3 + 16*f**2*x**3 + 43*f*x**3 + 14*f*x wrt f.\nAnswer: 186*f*x**2 - 12*f + 32*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((-2 - 3) + 5612\/16). Let o = w - -349. What is the second smallest value in 243, o, -2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1245 - -12407\/10. Suppose -a + 6722 + 4450 = 0. Let t = 201043\/18 - a. Calculate the common denominator of t and n.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 120*i**2 - 29*i + 90. Let s(n) = 359*n**2 - 83*n + 271. Let t(m) = -8*j(m) + 3*s(m). Is t(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 1)\/(-874 - -873).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -8, -1 in ascending order.\nAnswer: -8, -1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 2*d**2 - 62*d - 7. Give u(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-12 + 3 - -6 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**2 - 8*s + 7. Let k(z) = 4*z**2 - 9*z + 8. What is -5*k(t) + 6*o(t)?\nAnswer: -2*t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2 + 2 + 3)*(-240 + 40 - 44).\nAnswer: 244*y - 732","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30810 and 8320?\nAnswer: 1971840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 125003?\nAnswer: -125004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/((-4)\/1))\/(15\/(-4560)*-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 5. Let j(k) = -k + 1. Let r(b) = 4*j(b) - s(b). Let m be r(-1). Let x be (1 - -1 - m)*1. Solve -d = -x*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101110011 + -100001111000?\nAnswer: 1000011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*a = 4 + 120. Solve -2 = -w + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40 - 34) + -1 + 3 + -6. Let w(j) be the first derivative of -5*j**3 - 5*j**n - 5\/4*j**4 + 0*j + 4. Let w(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000092889 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2640 - 2580. Calculate the highest common factor of b and 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -0.017, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + z - 15 + 43, 5*z = -2*w + 36. Let a(h) = 2*h + 3. Let c be -1 - (-1*3 + -2). What is the least common multiple of w and a(c)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2300)\/(-28))\/5 + (-9)\/21. Find f, given that -68*f**3 + o + 78*f - 100*f**3 + 34*f + 148*f**2 - 108*f**4 = 0.\nAnswer: -2, -1\/3, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.7 - -45. Let i = b + -6.3039. Round i to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6300 divided by -6300.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - b + 5*b = -12, 3*p + 2*b = 10. Suppose 0 = -s - 3*n + 2, -3*s - p*n = -0 - 6. Solve 2*w + 20 = -s*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0*z + 0 - 2\/165*z**5 - 3\/11*z**3 + 10*z**2 - 1\/11*z**4. Factor m(n).\nAnswer: -2*(2*n + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 6*j = -2*j + 13, 0 = 2*o - j + 8. Let f(s) = -4*s**2 - s + 2. Let r(h) = -2*h**2 - h + 1. What is o*r(u) + 3*f(u)?\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 56*c = -65*c + 15, 4*c = 3*i - 5 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 158 + 154*d**2 + 7*d**2 + 2*d**2 - 69*d**2 as z*d + l + r*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30391 - 729485\/24. Find the common denominator of t and -107\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22012110122 (base 3) in base 4?\nAnswer: -213122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13131 (base 8) to base 6\nAnswer: 42253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 13 = 3. Sort -16, -2, r.\nAnswer: -16, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 1:42 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 3*p**2\/2 + 2*p + 2. Let j = 10 + -12. Let a(o) be the second derivative of 8*o**3\/3 + 5*o**2 + o. What is j*a(x) + 11*h(x)?\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 2*y**2 - y + 1. Let w be ((-4)\/(-10))\/((-1)\/(-5)). Suppose 0 = -v - w*v - 9. Calculate d(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2227.14 meters in kilometers?\nAnswer: 2.22714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -418, -391, -364, -337?\n\"Answer: 27*w - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21506, -43012, -64518?\n\"Answer: -21506*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.715 + 0.203. Let o = -0.018 + h. Round o to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 213 in -1\/11, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111121210 (base 3) to base 2.\nAnswer: 1000000111001010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1404842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 7, -4, 10\/273 in increasing order.\nAnswer: -4, -1\/5, 10\/273, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - f = 16, 19 = -17*r + 14*r - 4*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269488467637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*d + 19*d + 10. Put 4, 5, d in decreasing order.\nAnswer: 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 16)\/((-3)\/(-23)). Suppose 5*a - 33 = 17. Suppose -s + b = a. What are the prime factors of s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, 0, 0.05, -0.1, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 44*s**2 - 146*s - 107. Let b be r(-47). Calculate the highest common factor of b and 1920.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2252 divided by -1.\nAnswer: -2252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -14 (c) 61 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1254 + 0.8746. Put -218, w, -3\/5, -1 in increasing order.\nAnswer: -218, -1, -3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*g + 2 = 0, -g = -b - 2 + 4. Put -3, 5, b in decreasing order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19188)\/492)\/((-18)\/24).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 459689 (base 11) in base 14?\nAnswer: 15017d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 15 = -15. Let j = 62 + u. Suppose -j = -n - 3*n. Is 8 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 7, -98, -223, -356, -485?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 0. Let t be 1 + h + 1 + -2. Solve t = -0*a + 2*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68768*p**2*z - 13*p**2 - 775214*p*z wrt p.\nAnswer: 137536*z - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**5\/20 - 2*u**3\/3 + 2*u - 3. Let v(z) be the first derivative of a(z). What is the second derivative of v(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 5, z: 3}. What is prob of picking 2 q and 1 a?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1.1. Let m = y + -1.1. Which is the biggest value? (a) m (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -273\/2 + 137. Let u = -106\/9 - -118\/9. Which is the third smallest value? (a) u (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4370\/97 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 141, 151, 175, 219, 289?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 17 = 5*s, 7 = 2*s - 5*x + 4*x. Suppose 0 = -5*z - 5*b, -18 = 2*z - s*z + 4*b. Let q be ((-1)\/2)\/((z + 0)\/6). Which is bigger: 3\/10 or q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 336 and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 62 + 69*b - 203 + 84.\nAnswer: 69*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + h = -10, -30 = -5*m - 5*h - 5. Find the first derivative of 0*y**3 - 1 + y**m - 2*y**3 wrt y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -19*l**3 + 5*l**2 - 8*l - 10. Let f be ((-1)\/3)\/(24\/216). List the prime factors of x(f).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 5 = 3*t - b, -3*t = -10*b - 50 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(128) + sqrt(128) + sqrt(200)*-1)\/(sqrt(4) - sqrt(324)\/sqrt(9) - (sqrt(4) + sqrt(8)\/sqrt(2)*4)))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 6 - (-2 + -11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/(-630))\/((-25)\/(-4750)))\/((-1)\/3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 74437*u**2\/2 + 148871*u\/2 + 74435\/2.\nAnswer: (u + 1)**2*(u + 74435)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 3*b**2 - 16*b + 6. Let p be (-39)\/(-13)*8\/(-6). Calculate the lowest common multiple of r(p) and 12.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 14*q**2 - 17*q + 86. Let i be s(14). Which is bigger: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6475d (base 15) to base 7.\nAnswer: 2465530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131 (base 8) in base 6?\nAnswer: 5053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -603, -598, -581, -546, -487, -398?\n\"Answer: x**3 - 2*x - 602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -99*i - 630*i**5 + 208*i**5 - 717*i**5 wrt i?\nAnswer: -22780*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 19 - 8 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*20\/(-50))\/(2\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 32. What is the smallest common multiple of n\/(-153)*9 - (-19)\/1 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 6*g + 64. Suppose -14*q + 1587 = 9*q. Calculate the remainder when q is divided by w(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*(-456)\/(-1235) + (-4)\/52\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - -1. Suppose 3*b - 283 = -5*j, -68 = -5*j + 2*b + 235. What is the remainder when j is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 133 - 171. Let f = 37.755 + q. Round f to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 624.5072 years?\nAnswer: 7494.0864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547399 is divided by 429?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063831875 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by (3 - (-6 - -139))\/(0 - 2).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(9\/4)\/k)\/(k\/(k\/k**(1\/21))))\/((k\/(k*k\/((k\/(k\/k**27*k))\/k*k)))\/(k*k**(-4\/13)*k)) assuming k is positive.\nAnswer: k**(-24139\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 53884.6069.\nAnswer: 53882.6069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -22 + 2 + 4*a + 33 - 5*a**2 - 2*a - 16. Let v = -198 + 196. Let w(h) = 11*h**2 - 4*h + 7. Give v*w(k) - 5*i(k).\nAnswer: 3*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10083, -81189, -274191, -650037, -1269675, -2194053, -3484119, -5200821?\nAnswer: -7405107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-32))\/(18\/(-24)*-2). Let o(x) = -2*x. Let h be o(-1). What is the second smallest value in r, 0.5, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -17, 1 in descending order.\nAnswer: 2, 1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.1 - 53.1. Let h = -29 - o. Let j = -17.038 + h. What is j rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**7\/189 - 64*f**6\/135 - 31*f**5\/15 - 92*f**4\/27 - 61*f**3\/27 + 2045*f. Find v such that u(v) = 0.\nAnswer: -61, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41250 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z - 3 + 4 - 3 - 6*z. Let k be x(4). Let c = k + 9. What is c rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 4*g = -61 - 19, -5*z + 2*z - 2*g - 36 + 61 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3258 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/48 and 20\/2136427.\nAnswer: 102548496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 12, h: 7}. What is prob of sequence hth?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16532 divided by -6.\nAnswer: -8266\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 366\/6959 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5885 + 14867. What are the prime factors of t?\nAnswer: 2, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-3 - (-218)\/72). Suppose 12*b = 10*b + j. Suppose -5*w = m - 44, 0 = -m - 0*w + 2*w + b. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mum when three letters picked without replacement from dmmmmmmmtmbbuu?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 12. Suppose -17*r + 333 + 7 = 0. Solve 2*v = a - p*a - r, -2*v + 5*a = -12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 167\/3. Let y = 2.93 + 1.07. What is the closest to l in -3\/2, -1\/6, y?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/8))\/a**(-6)*(a**6\/a)\/((a**(-9)*a)\/a*a)*((((a*a*a**(3\/13)\/a*a)\/a)\/a)\/a**11)**(-22) assuming a is positive.\nAnswer: a**(26681\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 80842 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 9*b + 334. Let l(q) = -68*q - 2562. Let i(w) = -7*l(w) - 54*y(w). Give i(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 3\/8 (b) -0.1 (c) 15 (d) -1653\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.35 - 3.35. Let q = 4.45 + -0.45. Which is the nearest to 2? (a) 0.2 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.862111 times 1.12\nAnswer: -2.08556432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/720 - 47*w**5\/20 - 15*w**4\/4 - 2*w + 11. Let q(i) be the third derivative of j(i). Let u(z) = 2*z**2. What is u(q(n))?\nAnswer: 2*n**2 - 1128*n + 159048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 - -156?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 263, -1.78, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 4. Suppose -32 = 2*h + 4*p, -4*h = -p + 25 - z. Let l(s) = -s - 6. Let a be l(h). Solve -k - 2*x - 4 = a, 5*x + 8 = -7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 26076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423829638.\nAnswer: 2, 3, 599, 13103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 267163 (base 9) in base 6?\nAnswer: 3253133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 2302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**4\/6 + x**3\/2 - x**2\/2 - 2*x. Let m be f(2). Let n be m\/6 - 5\/(-2). Solve 5 = n*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121220 (base 3) to base 2\nAnswer: 111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 9:43 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 9*o + 4. Let a be r(-4). Let l = 33 + a. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-714)\/(-660))*13590\/(-4077)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -18*c + 21*c. Suppose -c*w - 75 = -7*w. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7) + -8 + -17 + 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 23*m**2 + 25*m - 13. Let a be v(-20). Suppose 5*z + 2987 = 2*x + 497, -3*z = 5*x - a. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(-100))\/(1243\/452)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (14 + -4 - (-6 + (10 - 6))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2. Let x(d) = -d + 1. Let j(u) = -u**3 - 14*u**2 + 35*u + 46. Let y be j(-16). Calculate y*z(m) + x(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1. Let n = -54 + 50. Let g(r) = 11*r - 4. Let s(j) = n*z(j) - g(j). Let b(h) = h. Give b(s(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 48*o + 476. Let k be a(-14). What is the fourth biggest value in -4\/9, 1\/7, -42, k?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1 (c) -6 (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = c, 0*c - 20 = -4*c - 5*g. Let d = -46 + 88. Suppose -53 = -c*l + d. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + 4\/(-28) + (-8)\/(-7). Let b(a) = a**3 + 8*a**2 + 6*a - 3. Determine b(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 + -4. Let u = m - 4.1. Suppose 4*i + 20 = -0*i. Which is the third biggest value? (a) u (b) -1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/(160*74\/(-2036480))?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + m = -2*v - 17, 0 = -2*m + 6. Suppose -12*x - 62 + 26 = 0. What is the fourth smallest value in x, -0.2, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Let g = n - -0.7. Let f = g - 0.4. What is the nearest to 2\/9 in f, 0.2, 2\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/4020 and 167\/17856840?\nAnswer: 17856840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118125 and 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 4*v - 5*z, 2068 = -44*v + 60*z - 62*z for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 1 - 7. Let p be t\/2*(-4)\/22. Let a = -4.1 - -9.1. Put p, 3, a in decreasing order.\nAnswer: a, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*u**2 - 152*u**2 - 615 + 615.\nAnswer: -302*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 40062 = 2*b - 40040, -2*d + b - 9 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188*a - 33*a**3 - 96*a - 92*a.\nAnswer: -33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 30847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.196 + -0.596. Which is the third smallest value? (a) 1 (b) q (c) -3 (d) 5\/3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 16210 - 16208 + 5*b - 3*b**2 - 2*b**4 + 4*b**3 to the form f*b**3 + x*b + o*b**2 + d*b**4 + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47971, -191887, -431749, -767557, -1199311?\n\"Answer: -47973*j**2 + 3*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:08 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*d**2 + 24*d**2 + 0 + 0 + 72*d + 14*d**2.\nAnswer: 4*d*(d + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 1)*(-2*t**2 - t**2 + 5*t**2)*(-t + 2*t - 2*t)*(1 - 4 - 4) in the form w*t**2 + v*t**3 + q + n*t and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -6. Let i = 17 - d. What is the highest common factor of 63 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8002*1\/(-2)*3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/(-2)*(3 - 144\/45). Are k and -3.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let q(x) be the third derivative of 16*x**5\/15 + 1374*x**2. What is q(p(z))?\nAnswer: 256*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m - 704 = 2*a, -3*a = 3*m + 417. Let d = -72 - m. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114789 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + q. Let x(s) = -s**3 + 7*s**2 - 6*s + 1. Let h be x(6). Give t(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2588616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24389 and -815.91884?\nAnswer: 25204.91884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*p**3 - 501*p**3 - 247*p**3.\nAnswer: -673*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60.2 + -60.3. Let y(i) = -3*i - 9. Let u(g) = 7*g + 17. Let k(l) = -6*u(l) - 11*y(l). Let x be k(-2). Which is smaller: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 80888819.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by ((-2)\/((-2)\/3))\/((-156)\/(-7436))?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 12 = 2*n, 4*r = 3*n - 5*n - 4. Is 34\/(-6)*(-8 + n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 13) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -35*d**2 - 14*d. Let l(h) = -7*h**2 - 3*h. What is 14*l(o) - 3*n(o)?\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8737 (base 11) to base 10\nAnswer: 11535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -8 + (-2 - 1) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -119 + 122. Suppose y + 4*q + 148 = 5*y, 0 = 2*y - t*q - 69. What is the least common multiple of 54 and y?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1232 and -68.\nAnswer: 83776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-187)\/(-34) - 3\/2. Suppose -c - k + 1 = 0, 0 = -4*c - k + 2*k + w. Suppose 0 = -5*f + 49 + c. Solve -5*y - 15 - f = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 19317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213696790 is divided by 303116?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 49099349 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 823 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 578 or 576?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 117 (b) 2\/3 (c) -0.1 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 2*h + 14, -2303*z = -2307*z - 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3 + 23*m. Let j(d) be the second derivative of d**4\/4 - 2*d. Calculate j(o(s)).\nAnswer: 108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 48. Let f be k(0). Let z = 56 - f. What is the lowest common multiple of (-108)\/(-63)*7*1 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -0.21 (c) 44158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 30684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.85 in 2, -273, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -3527\nAnswer: -4\/3527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) 3\/4 (c) -0.066 (d) -0.1 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/22729 and -95\/1194896.\nAnswer: 8364272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -783*a + 9416. Determine j(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100021 (base 3) to base 7.\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-819)\/98)\/((-6)\/8)*14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -70*p - 15. Let o(f) = -14*f - 3. Let t(c) = 11*o(c) - 2*s(c). Let b be t(-3). Suppose 4*n = -n + 4*x + b, 5*n - 3*x = 43. Solve 4*g = 5 + n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120947862 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12154834 to the nearest integer?\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4651 is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 7 + 5)*(-4*n**4 + 15*n**4 - 9*n**4).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1718, 1714, 1708, 1700, 1690, 1678, 1664?\nAnswer: 1648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 6*m**2 + 2*m - 3. Let b be o(-5). Suppose 0 = -5*d - 14 + 4. Let x = 2 - d. Calculate the greatest common factor of b and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 30381444?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906656527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-816)\/(-680))\/((6\/5)\/2)). What is the nearest to s in -3\/4, -91, 4\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75090 divided by -5006?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 12. Let v be x(0). Let g = 19 + v. Let j be 0 + (g - 4 - 3). Solve -3*l - l + 8 = j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2.18, 0.2, 83?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k)\/((k\/k**(-10)*k)\/k*k*k))**26 assuming k is positive.\nAnswer: k**(-468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 182592 = -23*i + 118752. Is i a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*z - 8*z + 4*w, 5*z = 5*w. Let h(u) = u**3 - 3*u**2 - 14*u + 21. Let i be h(5). Solve 5*o = 5*y - 30, y - z*y + i = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-32) - (-280)\/28)*2\/(-25)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 8*d - 5. What is the least common multiple of l(6) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*j + 6, 4*j - 9 = 4*w + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 28c?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 383, 765, 1273, 1895?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/240 and -181\/1350?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*b**4*l + 66*b**3*l**2 - 4*b**2 + 3*b*l + 7*l**2 - 584*l wrt b?\nAnswer: 1128*b**2*l + 396*b*l**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2645 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from {b: 2, m: 1, u: 1, p: 1, a: 1, n: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51633 is divided by 423.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 4, 3, 1, -1 in decreasing order.\nAnswer: 22, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -2, -1, 154, 28 in ascending order.\nAnswer: -2, -1, 24, 28, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -452 - -446. Let m(b) = b**2 + 6*b + 7. Determine m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u*u**(3\/8)*u)\/u)\/u*u)\/u**(-2\/5)*(u*u*u**(-1\/2))**(-2\/127) assuming u is positive.\nAnswer: u**(13977\/5080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - g - 3*g)*(1 - 1 + g) + 4 + 1183*g - g**2 - 1183*g to n*g**2 + v*g + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2519553 and 17340453.\nAnswer: 294787701","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 13*m + 9)*(13 - 2 + 7) + (0 + 0 - 2)*(-m - 5*m + 10*m) + (-4 + 1 + 2)*(2 - 2 + 2*m) to the form l + o*m and give o.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138050, -1138048, -1138046, -1138044, -1138042, -1138040?\nAnswer: -1138038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-3)*1\/10\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5568712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -7*m + 47. List the prime factors of w(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1942.6 + -1892. Let d = -144 - -84. Let t = n + d. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2086200 by 20862.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 3202*t**2\/3 + 611408*t\/3 + 10404536.\nAnswer: 2*(t + 106)**2*(t + 1389)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000321590732 rounded to seven dps?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.38 - 2.35. Let i = -1.0300045 + g. What is i rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18104 divided by -1?\nAnswer: -18104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340\/7 bigger than 476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.8 + 3. Let i = y - -3.1. Let f = 1.6 - i. What is the second biggest value in f, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24544*z**3 + 28471*z**2.\nAnswer: -147264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**4\/24 - 4*r**3\/3 - 27*r**2. Suppose 0 = k - 8 - 0. Let f be i(k). Put 2, f, -5 in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 49*a + 88*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from rerree?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((sqrt(245) + -2 + sqrt(245) + -4 - -4*(sqrt(245) + 1)**2) + 4).\nAnswer: -982 - 70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1658.5 + -1674.5. Which is the fifth biggest value? (a) -0.2 (b) 2 (c) z (d) -1\/10 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -87, -3.\nAnswer: -87, -3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1060.809 months to decades.\nAnswer: 8.840075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4 + 11. Let w = b - 2. Solve 3*c - 2*c - w = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -46. Suppose -2*s - 91 = 5*n, -s + n - 8 = t. Let u = s - -88. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28485829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 1. Let w be l(5). Solve 0 = -5*r + 3*r - w, 2*r + 14 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 3 = 8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -1. Let o(u) = 6*u + 1. Determine -4*h(z) - 2*o(z).\nAnswer: -12*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262 + 262. What is the second derivative of 6*w + 5*w**4 - 2 - 6*w**4 + n*w**4 - 7*w**3 wrt w?\nAnswer: -12*w**2 - 42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -2*q - 12. Let d be (-200)\/(-14) - (-3 - (-23)\/7). Suppose -2*f = -2*u - 44, -5*u = 11 + d. Calculate the remainder when q is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2808066.\nAnswer: 2, 3, 468011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2357.763ng to micrograms.\nAnswer: 2.357763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -3\/7, -1\/267, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(17) + 1 - sqrt(17)) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-9) - (-16)\/12. Sort -3, 2, i, 0 in increasing order.\nAnswer: -3, 0, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2. Let w(n) = 31*n - 4*n**2 - 31*n. What is x(w(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8512 divided by 152\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -731 or -738?\nAnswer: -738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2339, -4152, -5933, -7676, -9375, -11024?\n\"Answer: v**3 + 10*v**2 - 1850*v - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 32*i + 29. Calculate the remainder when f(34) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 27 = 7*f, f = 1900692*p - 1900693*p + 9 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*l + 8, c + 48*l = 51*l - 11. Let f(r) = -5*r**2 - 2*r - 2. Let w(x) = 135*x**2 + 55*x + 55. Give c*w(k) + 110*f(k).\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4732 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -2049969.\nAnswer: 33\/683323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1519\/(-140) + 10 + (-15)\/(-25)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30128, -60240, -90352, -120464, -150576, -180688?\n\"Answer: -30112*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19412 + 19114.78. Let i = q + 300. Let v = -0.22 - i. What is the second smallest value in 1\/24, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*b = 2 - 32, -q + 18 = 3*b. Let u be q\/(-60) + (-42)\/(-10). Solve -p - 3*f - 14 = -6, -8 = u*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*-3)*-2 - (sqrt(95)\/sqrt(5) + sqrt(19) + -1 - sqrt(190)\/sqrt(40))**2.\nAnswer: -175\/4 + 11*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/176 < 11109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/(-546)*18\/(-4)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5306 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 minutes after 12:18 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 - 42 = 0. Calculate the greatest common factor of 88 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -35*p**2 + 580*p + 50. Give c(16).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -950 (b) -1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102625 (base 9) to base 10.\nAnswer: -61016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(52))\/(sqrt(64)*1 - sqrt(64) - sqrt(64)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10*-135\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -182.4 - -185. Which is the nearest to -1? (a) w (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(12\/5)\/(x**(-4\/11)\/x))\/(x**(-17)\/x**6) assuming x is positive.\nAnswer: x**(1472\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 123458 to the nearest one thousand.\nAnswer: 123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - sqrt(3))**2 + -4)*-3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*i**3 + 5710128*i**2 - 5710128*i**2.\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667*x - 682*x = -690. What is the highest common factor of 6302 and x?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1660*f**2. Let b(c) = -173*c + 75*c + 97*c. Determine n(b(q)).\nAnswer: 1660*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 479 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/(14\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.192809 millennia to years.\nAnswer: 9192.809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 24*d + 10. Let v be (-4)\/18 + (-538)\/9. Let s be 6*((-16)\/v)\/((-4)\/(-20)). List the prime factors of i(s).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -1 (c) 32\/21177 (d) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40999 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*72\/48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -2 - 1\/12*a**3 + 1\/2*a + 1\/8*a**2. Find d, given that y(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l**2 + 2*l + 2*l**2 + 2 - 2 - 2*l**2 - 4*l**2 + l**2 + (-4*l**2 + l**2 + 2*l**2)*(3 - 1 + 1).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3280*l**2 - 5977*l**2 - 3405*l**2 + 8120*l**2.\nAnswer: -4542*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55216898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/7 and -1\/49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*-1*5 - sqrt(99))\/((-1*sqrt(18))\/sqrt(2)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 18 = -2*t - 20, 0 = -k + 5*t + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, 0.4, -2\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -8*b - 4. Suppose 6*q - 1508 = -6*q + 328. Calculate the remainder when q is divided by z(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8665 = q + 26845, -2*t + 17750 = 2*q. Is t\/12 + (-21)\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -639, 477, 2\/9 in ascending order.\nAnswer: -639, 2\/9, 5, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-4))\/(845\/104 + -8). Suppose -4*r + 4 = 2*o - 4, o - w = -r. Which is smaller: 5\/98 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -36?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 479 + 55. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**2 + 3*x**2 - 1 - 11*x**2 - 4*x**2 as f*x**2 + a + g*x and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*o + 218*o - 2331 = 0. Solve 2*f = -f - o for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvwvhh. What is prob of sequence hv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 less than 417?\nAnswer: 418.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u + 32 = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-5)*0\/(-3)*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1\/76, -13, -35, -1\/6 in descending order.\nAnswer: 1\/76, -1\/6, -3\/4, -13, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, -2, 5, -5, 3 in decreasing order.\nAnswer: 124, 5, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16, 28, 40, 52, 64?\n\"Answer: 12*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = 3*z, 3*k - 3 = 2*z. Find the common denominator of ((-156)\/27)\/k + -1 and -58\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/3 - 1 - -2. Let k be r\/2*16\/6. Is k not equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 0.6, -1\/10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6946744 and 95\/24313604.\nAnswer: 48627208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(143)*-3 - sqrt(143))\/sqrt(11).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - o - 2. Let u = 154 + -148. Suppose f = -3*h - 9, h - 10 = u*f - 2*f. Determine x(h).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 5*k - 5*w, -19*w + 32*w = k - 72 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -11*h - 18. Let f(p) = -11*p - 19. Let n(c) = 5*f(c) - 6*k(c). Let g(w) = -6*w - 7. Let s be 39\/((-14742)\/36)*-42. What is s*n(l) + 7*g(l)?\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 267064\/5700 - 48 - 4\/200.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1088))**2 - (sqrt(17) + sqrt(17)*-2 + 4 - sqrt(17))**2) + -1.\nAnswer: 32*sqrt(17) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/30*117\/(-51) + 6.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 898*s = 899*s + 9, 4*s + 9 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -64. Suppose w*k = -11*k + 608. Suppose -f = -40 + k. Solve 0*a + f*a = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 - l. Let i = -2 - -3. Let q = i + -3. Let k(w) = w**5 - 3*w**3 - 2*w. Let m(j) = q*k(j) + 3*s(j). Find the second derivative of m(y) wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 2:14 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 + 7*h - 21. Let y be n(5). Let v be -4*1 - y\/9. Let l = 11.1 - 2.1. What is the second smallest value in 1, l, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1168 - -21. What are the prime factors of i?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(1700) - (-1 + sqrt(1700))) + -4 - sqrt(1700)*-1*2) + -1 + 3)**2.\nAnswer: -200*sqrt(17) + 6825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(-7*u**2 + 3*u**2 + 17*u + 3*u**2).\nAnswer: u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnn when three letters picked without replacement from nnfnqgnqqnq?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*y + 4*y. Let q = y + -6. What is the highest common divisor of q and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 2. Suppose 5*p = -10, 5*p + 0*p + 10 = -3*j. Let g = j - a. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0 (c) 57 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 256 divided by -4\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76798729 and 686.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -55. Let z(j) = 2*j**2 + 15*j - 14. Let c be z(-8). Let m = 14 + c. What is the greatest common divisor of m and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 233927675 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 292*o**3 + 75272 + 285*o**3 + 287*o**3 + 287*o**3 - 1153*o**3 - 17266*o - 380*o**2.\nAnswer: -2*(o - 4)*(o + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2576*i**2. Let c(a) = -a. Determine z(c(g)).\nAnswer: -2576*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 + 239. Solve p*l + 3*l = 3*q + 2, -4*q = -2*l + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -120. Let i = 63 - p. Let o be (2\/1)\/(0 - (3 + i)). What is the nearest to 2\/5 in -2, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1.3, 1\/6, 5\/52, 0.5, 1\/4 in descending order.\nAnswer: 0.5, 1\/4, 1\/6, 5\/52, -1.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from zeeccczzcce?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2929, -5850, -8761, -11656, -14529?\n\"Answer: r**3 - r**2 - 2925*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 10*k - 8. Let t be q(8). Let u = t + -16. Let n = -55 + u. Solve -3*a + n = -o, -3*o + 5*o + 4*a = 18 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 124. Solve -4*q - w - 5 = p, -4*q - 23 = -w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 4*a - 2*a + 5*a. Let k(b) be the second derivative of -b**5\/30 + b**2\/2 + b. Let w(d) be the first derivative of k(d). What is w(p(r))?\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 302159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f = -16*f - 30. Suppose -3*v - s - 5 = 3*s, 3*v - 3*s = f. Solve 0 = -4*x + j, 2*x + v = 2*j - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uyuuuuuu?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 210744092 a multiple of 2353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2 - 0.3. Suppose 2*y = 6*y - 16. Suppose y*x = 6 - 2. What is the third biggest value in x, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(864)\/sqrt(4))\/(sqrt(12)\/sqrt(6)*4).\nAnswer: -3 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c**3 - 25419691*c + 25419691*c)*(c - 2 + 2)*(-5*c + 3*c + 3*c).\nAnswer: -22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + 2602.\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 41. What is the biggest value in q, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 422, 418, 412, 404, 394?\n\"Answer: -o**2 - o + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6079643 and -1.2?\nAnswer: 6079644.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16475933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 6*x + 4*x)*(-13 + 5 + 2*x + 0*x).\nAnswer: 8*x**2 - 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 121*a + 19. What is the thousands digit of t(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/6 and 115\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460700 a multiple of 1100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 15 + (-22)\/2. Let a(u) be the first derivative of -11\/2*u**2 + s + 9*u. Differentiate a(f) with respect to f.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256947 and 78843.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165500372 and 272.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let d = 39 + -26. Suppose 0 = 4*g - 2*l - 14, -2*g + l = 6*l - d. What is the smallest value in g, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 115.9 - 5.9. Let x = b - 109.914. Round x to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086767 rounded to 3 decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -2) + (-5 + 7 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*n, -74 = -9*t + 4*t - 4*n. Differentiate -11*c**4 + 25 + 2*c**4 - t with respect to c.\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -832, -1144, -1664, -2392, -3328, -4472?\nAnswer: -5824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 5*s + 361. Determine a(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) -5 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 8*m - 4*m. Suppose m = 2*x - 2. Suppose 0 = -x*s + o + 101, -37 + 0 = -s - 4*o. What is s rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 320 = 13*l. Suppose -5*p + 5 = 0, 0 = -2*f - 3*p + 11 + l. Is f not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + 0 + 4 + 1 - (17 - 67)\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15 - 5, -5*b - 5*w + 55 = 0. What is the remainder when 62 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 13, 34, 73, 136, 229?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70982386 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h\/(h**(2\/5)*h))\/h)\/h)\/h**4)\/(h\/(h*h*h**(1\/4)))**(-1\/60)*(h**(-2\/19)*h**(-1))**(-5\/3) assuming h is positive.\nAnswer: h**(-16319\/4560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 2*w. Calculate the remainder when y(-2) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/2342301 and -44\/1027.\nAnswer: 185041779","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073639024 to the power of 1\/3, to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15701)\/(-4486)*(-68)\/14. Let k(y) = 29*y**3 - 23*y**2. Let p(n) = 0*n**3 + 8*n**2 - 2*n**3 - 8*n**3. Give h*p(t) - 6*k(t).\nAnswer: -4*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13)\/5 + 2\/(-5). Let d be -4*(-2 - 1)\/3. Put -2, d, f in increasing order.\nAnswer: f, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(1326\/(-51714))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1320437935 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -12 + 4. What are the prime factors of 4\/(-3)*(-162)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*l + 0 + 0 = -727*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**5 - 6515804*t**4 + 19291294*t wrt t?\nAnswer: 20*t**3 - 78189648*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 99325581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbhxhxhxxxdccxdbcchx. What is prob of picking 1 c and 1 h?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4439 * 3\nAnswer: 13317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x = -22*x + 117. Calculate the smallest common multiple of x and 11.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cbc (base 13) to base 4.\nAnswer: -1010130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.42 + -398.42. Let v = -387 - z. Let j be 8\/16 + 2\/(-4). Which is the closest to -0.2? (a) j (b) v (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*t - 2*b - b, b + 1 = -4*t. Let d(k) = -k**2 - 1 + 6*k + t - 1. Let q be (-8)\/44 + 1 + (-114)\/(-22). What is d(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Simplify ((x\/(x\/(x\/(x**(-2\/7)*x))*x*x)*x*x)**(-5))**33 assuming x is positive.\nAnswer: x**(-330\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823547123.\nAnswer: 3, 103, 1967149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23\/91 + 7\/13. Let u = -17.9 + 18. Let j = 29\/21 - 5\/7. Which is the nearest to 1\/3? (a) j (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4894 = -4*f + f - 5*c, 4*f - 6467 = 5*c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2381093 is divided by 2381074?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27336, 0, 5 in descending order.\nAnswer: 5, 0, -27336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38454.5 nanograms to kilograms.\nAnswer: 0.0000000384545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -377 + 410*y**3 + 964083*y**2 - 964083*y**2 with respect to y.\nAnswer: 1230*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*m + 16176 - 16176)*(-4 - m**3 + 4)*(-2*m - 2 + 2 + 2*m + 0 + 0 + (-1 + 1 + m)*(4 - 2 - 3)).\nAnswer: 118*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*d + 554829 = 546149 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5266 - -5290. What is the greatest common divisor of 7416 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 + q + 2. What is the units digit of d(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 102*o - 2467. Calculate k(14).\nAnswer: -1039","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 2 = 2*y, 4*y - y = 5*s + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n - 55*n = 17*n - 204. Solve -3*o - n*a = -11, -a + 25 = 4*a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 15, x + 905 = -2*l - 2308. Let n = x + 5164. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*2\/(-6)*(-33)\/132.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:49 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.99 + -5.93. Let c = 37 - f. Which is smaller: -1\/3 or c?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*m = -20, 4*x - 4*m = -2*m + 16. Find the second derivative of -2*u**5 - 4*u + 4*u**5 - 6*u**5 + 2*u**x wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -1\/3*k**3 + 0*k + 1\/6*k**5 - 7\/24*k**4 + 8*k**2 + 0. Calculate the remainder when v(-3) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19544 and 392.\nAnswer: 136808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467802111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 10*r + 17. Let w be f(-10). Let u(p) = -20*p**3 - 17*p**2 - 17*p + 17. Let m(n) = -7*n**3 - 6*n**2 - 6*n + 6. What is w*m(g) - 6*u(g)?\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00683 rounded to four dps?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o = -183*o + 280 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 20*f**2 + 73768*f - 44268 = 0.\nAnswer: -3689, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -291*x**2. Let p(o) = -8647*o. Calculate m(p(s)).\nAnswer: -21758247219*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3.573002l to millilitres.\nAnswer: 3573.002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -265159*5\nAnswer: -1325795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/7 (b) -5 (c) -4\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 196?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-72))\/((-2)\/(-6))*87*(-1)\/5.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*m + 4*y, 3*m - y + 23 - 31 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -218 + 85. Let r = b - -1465\/11. Let i = -8.3 + 8. Sort 4, 3, r, i in increasing order.\nAnswer: i, r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Suppose -12 = 2*y - 5*h + 1, 0 = 2*h - r. Let j be ((-8)\/1)\/(y\/22). Calculate the greatest common factor of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2318822 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92921071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*2 + -1 + -1)*6.\nAnswer: -12 + 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/((-1125)\/81)*(-30)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 6*q**2 + q**3 + 0*q + 9 + 5*q**2 - 3*q**2. Let x be a(-7). What is the third derivative of 3*n**5 - n**2 + n**2 + n**x + 0*n**2 wrt n?\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 8*j + 2352 = 46*j. Suppose 5*k + m - 281 = -0*m, -k = -4*m - 52. Let d = k - j. Solve d = 2*g - g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(((sqrt(200) - sqrt(200)*-2) + 1)*3 - (sqrt(200) + 2 + 1*sqrt(200) + sqrt(200) + ((sqrt(200) + 0)*-5 - sqrt(200)))))**2 + -4.\nAnswer: 150000*sqrt(2) + 18000621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**3\/5 - 2214*l**2\/5 - 159192*l\/5 = 0. Calculate l.\nAnswer: -66, 0, 804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(-3) + -1 + 28\/12. Solve 4*n + 2*r = -28, t = -3*n + r - 0*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - 0.22. Put -1, g, 1\/8 in ascending order.\nAnswer: -1, g, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5041 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62251808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2989839 + 1810161. What is l rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = -55*x + 69*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 15?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-5)*m**11)**(-45) assuming m is positive.\nAnswer: m**(-765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 62016667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) 0.3634 (d) 0 (e) -7\/47 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 138705.\nAnswer: 138705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - 30. Let w = 7831 + -7720. What is the remainder when w is divided by (-8)\/(-4)*y\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27720\/6720*((-80)\/(-3))\/(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/1550*(-2)\/(-99)*6)\/(2\/22).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -269 - 294*p - 10*p**3 + 294*p - 228 - 6*p**3 wrt p.\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3669)\/8561*42\/81.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-50)\/(-25))\/(4\/63404 - 0).\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**8*m**(-1\/7))\/(m**(2\/27)\/(m\/(m\/(m\/(m*m**(-6))*m)))))**(-33\/4) assuming m is positive.\nAnswer: m**(-15367\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.2 and -82790036011?\nAnswer: 82790036008.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*g - 1027*g - 357*g + (1 + g - 1)*(3 + 1 - 2))*(2*g**2 + g - g).\nAnswer: -2554*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5180 - -5185. Solve y*w - l = -5, -3*w = -0*w + 2*l - 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/21)\/((-27)\/(-4293))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -27*r**5 - 41730*r**4 - 166191*r**3 + 457680*r**2 - 249732*r = 0?\nAnswer: -13874\/9, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = y + 4*k, -20*k - 2 = -2*y - 22*k. Suppose -112*d + 107*d = -5*w - 130, -2*d + 57 = -y*w. What is the least common multiple of 111 and d?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(228\/(-90))\/(3\/60). Let f = h - -260. Calculate the remainder when f is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2*b + 2*b + (3*b + b - 8*b)*(-7 - 2 + 17) as a*b + h and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**2\/2 + 7*c - 2. Let x be n(-7). Solve 0 = z - x*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2058 in -36, 0.15, 0.07?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 31, -735, 4, -3 in descending order.\nAnswer: 31, 4, -2, -3, -6, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-6)*(-60)\/(-525))\/1.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/840 - 37*n**5\/60 - 5633*n**4\/56 - 5547*n**3\/14 - 6711*n**2. Factor u(r).\nAnswer: -(r + 1)*(r + 129)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfyxmmhhfyymsym. What is prob of picking 2 h?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -530060 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-6)\/t)\/t)\/t*t*t)\/(t*t\/(t\/(t*t**1*t)*t)))**5 assuming t is positive.\nAnswer: t**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -84 + 79 + (0 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 476*u**3 - 11*u + 87?\nAnswer: 2856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311258 + -2801260\/9. Factor 2\/3*n**3 + h*n**2 - 22\/9 - 46\/9*n.\nAnswer: 2*(n - 1)*(n + 11)*(3*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose 3*k = 2*u, -9*k + 5*k + 4 = -2*u. Suppose 0 = s - u*s + j*a + 4, a - 3 = 0. Solve -s*w + 5 = l, -4*l - 4*w + 31 = -9*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6) + 22\/(-2)*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 1131. Let b(m) = 7*m**2. What is o(b(i))?\nAnswer: 14*i**2 - 1131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 143*w**3 - 29 - 26 + 89.\nAnswer: -143*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/75491, 0, -2\/7, 35, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(1\/5))**(-13)\/(c**(-1\/33)\/c**0))**(-9) assuming c is positive.\nAnswer: c**(11568\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 73*f**2 - 7*f + 7. Let j(w) = 2036*w + 70*w**2 + 6 + 2*w**2 - 2043*w. Let b(y) = -4*a(y) + 5*j(y). What is the second derivative of b(r) wrt r?\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j**2 + 11*j + 87. Let u be z(-8). Find the common denominator of -21\/8 and (-5 - (-26)\/5)\/(18\/u).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b*b\/(b\/(b*b*b\/(b\/(b\/(b**3*b)))))*b))\/b*b)*b*b))\/b*(b**(1\/5)*b*b*b*b)\/b*(b**0)**24 assuming b is positive.\nAnswer: b**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -204c9 (base 15) to base 16\nAnswer: -18fc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 + 49*h + 214. Give i(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -14. Let f = b - -17.6. Round f to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/28 in 0, 63, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*r - 11 = 0. What is the highest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33\/55)\/(1\/5). Let n(g) = 14*g**2 - g**2 - b*g**2. Let z(l) = l**2. What is z(n(k))?\nAnswer: 100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 75870900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202112111 (base 3) to base 13.\nAnswer: -3385c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2462489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**5\/3 - 63*l**4 + 2599*l**3 + 62965*l**2\/3 + 18326*l = 0 for l.\nAnswer: -6, -1, 0, 77, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-15)*75\/300.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 139 - 120. Suppose -w - 10*x + i = -14*x, -2*w + 2 = x. What is the smallest common multiple of 35 and w?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 x when three letters picked without replacement from sspxpm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.02622, -3 in ascending order.\nAnswer: -3, -1, -0.02622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71 - -2a2a2?\nAnswer: 2a231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 537 in 0.3, -1.3, 0, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*f - 134*f - 214*f = 2200 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {i: 1, w: 2, k: 1, q: 3, p: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 - 83*s + 38. Let l be z(-17). Solve -b - 5 = -l*y, 16*b - 15*b = -4*y + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 9:22 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + w + 4 = 0, 2 = 3*g + 2*w - 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 21 = 10*s + 9, -6 = -3*x + 3*s for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 17*p**2 + 11 + 17*p**2 + 168*p - 54*p**2 - 75 = 0.\nAnswer: 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2. Let v(t) be the first derivative of -t**3 - 8. Calculate -2*m(q) - 3*v(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1297 + -847. Let s be (-9)\/(-12) - i\/(-40). Solve -4*d + s = 0, 2*d = -4*r - 5 + 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*2 + -1.\nAnswer: -1 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 5*b - 3. Let f be q(2). Factor 21*l**2 - 3520*l**3 + 0 + 3511*l**f - 6*l + 0.\nAnswer: -3*l*(l - 2)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -899*y + 1. Let v be x(-1). List the prime factors of 0 + (-4)\/14 + v\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 1. Let z(j) = -j**2 + 1. Suppose 0 = -6*w + 5*w - 2. Let n be w - 0\/4 - -1. What is n*z(a) + b(a)?\nAnswer: a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 220902?\nAnswer: -2\/110451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-20)\/(-50)*(-12415)\/(-382).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3307 + 5668. Suppose -14*p - b = -17*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 471*t - 74831. Give q(159).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 15 = -3*x, -2*y + 30 = -5*x + 2*x. Suppose -478574 = -y*r + 2344426. What is r rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d + 5. Let o(b) be the third derivative of b**5\/60 - b**4\/24 - b**3\/6 + b**2 - 243. Calculate -5*o(l) - y(l).\nAnswer: -6*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 20 = -22, 3*i + 5*u = 22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 568\/7 + -81. Let s = 5\/18 - -2\/9. Sort g, -0.5, s in decreasing order.\nAnswer: s, g, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36341*g**2 + 0 - 109192*g**2 + 36344*g**2 + 0 + 36514*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 14 (b) -0.3 (c) -1\/8 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2*u - 28 - 5, u + 11 = t. Suppose -t + 23 = 3*s. Let z be 2\/(-1)*-7*2\/s. Put z, -2\/7, -0.5, 3 in decreasing order.\nAnswer: z, 3, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -19, 215, 1 in increasing order.\nAnswer: -19, -2, 1, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200 = 8*r + 248 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1057033 is divided by 102?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*s + 3*i, 5*s = i + 2*i + 139. Suppose 7426 = s*a - 24*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 6*z - 10. Let f be k(-8). Let w(s) = 5*s**2 + f*s + 0*s - 3*s**2 - s**2 + 6. Give w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 9*m + 8. Let x be k(9). Suppose -x*h + 13*h - 15 = 0. Suppose 0 = -h*r + g + 3*g + 30, -r - g = -10. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3114 = 3*h - 5*x, 0 = -h + 2*h - 5*x - 1028. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-2))\/((2\/80)\/(141\/(-705))).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*d**5 + 4885*d**4\/2 + 195135*d**3\/2 + 342905*d**2\/2 - 577555*d\/2 + 17355 = 0. Calculate d.\nAnswer: -26, -3, 1\/16, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 86, 0, -0.73?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32067187*q**5 + 3*q**4 - 234257100*q**2 wrt q.\nAnswer: 1924031220*q**2 + 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 12:49 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20543 is divided by 1083.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19690 - -19690.00002258. Round o to 6 decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2959?\nAnswer: -2955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 13 = -33. Let s = a + 23. Let h(w) = -w**2 + 16*w - 13. What is the tens digit of h(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7 - 1 = 2*a, -2*a = r - 173 + 192 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -130481, -260992, -391569, -522212, -652921?\n\"Answer: -33*i**2 - 130412*i - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31303220 (base 4) to base 9\nAnswer: 85515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1866 and 27?\nAnswer: 16794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130096092, 130096090, 130096088, 130096086, 130096084, 130096082?\nAnswer: 130096080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7821348221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (-3)\/9. Suppose -2*c = -5 - q. Factor -u**3 - u**c + 4*u**3 + 2*u**2 - 4*u + 0*u**3.\nAnswer: 2*u*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 253, 354, 495, 676?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.2 + 2. Let t = -0.5 - h. Let i(f) = 2*f**2 + 31*f + 16. Let u be i(-15). What is the third biggest value in -2\/7, t, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -73?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 59, 96, 153, 236, 351?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c - 4. Let o = c - -5. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*m - 49 = 284, 5*r - m = 321. What is the second derivative of r*a + 4474*a**2 + 2*a**5 - 4474*a**2 wrt a?\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 - 3 = 0. Suppose k - 3*u = -t*u + 28, 4*u = 0. Let n = k - -19. What is the remainder when n is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30286227.\nAnswer: 3, 10095409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 2. Determine h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 92190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 5. What is the remainder when (-8)\/52 - (-836)\/m is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 6*q - 3*q + 18, 2*q + 22 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, 2, 2\/3, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6705, -2, 5, -1, 2, -37 in ascending order.\nAnswer: -37, -2, -1, 2, 5, 6705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 12. Let w = 15 - 5. Let c be j(w). Factor 4 - f**c + 1 + 2*f - 6.\nAnswer: -(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 4*i - 2. Let w be n(5). List the prime factors of 461\/5 - (w + 70\/(-25)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*t = -13*t. Let h(b) be the third derivative of 1\/12*b**4 + 0*b + 0*b**3 + b**2 + t + 1\/30*b**5. What is x in h(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034868747 to the power of 1\/2, to the nearest integer?\nAnswer: 32169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, f: 2, z: 1}. What is prob of picking 2 z and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from xxjxxjxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -11698.\nAnswer: -46792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 12*o**2 + 12*o - 18. Let h be q(-13). Let y = h + 7. Factor -9\/2*b - 1 - 2*b**y.\nAnswer: -(b + 2)*(4*b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10)\/k)\/(k*k**12)*(k**(-3)*k)**(4\/7) assuming k is positive.\nAnswer: k**(-176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109919?\nAnswer: 109919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -14*u + 4. Let p be 1\/((-5)\/2 + 2). Let q be c(p). Let d be 11\/33*(3 - -237). Calculate the greatest common divisor of d and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*l + 18 - 13 = 0, 0 = -4*u - 2*l + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -189780 to the nearest one thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 6*m + 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**3 + 6*y**2 + 12*y + 12. Let k(u) = u - 2*u**3 + 1 + u**3 + 0 + u**2. Suppose 0 = 2*z - 3*z + 1. Let b(v) = z*o(v) - 12*k(v). Solve b(h) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.53 - -3.73. Sort -2, g, -0.2, -4 in decreasing order.\nAnswer: g, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 219. Let s(g) = -137. Let u(v) = 5*b(v) + 8*s(v). Let k(q) = q - 3. What is -3*k(l) + 7*u(l)?\nAnswer: -3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4572946*j**3*w**2 + 8743304*j**3*w wrt w.\nAnswer: -9145892*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i. Suppose 5*l = 20, -l + i*l + 184 = 3*q. Suppose 0*v - q = -4*v. Solve s = 4*s + v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 6 + 9. Suppose 3*l - z - 9 = 0. Suppose -4*x = -3*c + 46, l*c + 5*x = x + 24. Solve -4*t + 5*i - c = 0, -t - 4*i + 8 = -0*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7 - 13*w - 3 - 12*w**2 + 14*w**2 - 3*w**2. Let n be h(-13). Solve 5*l = m + 24, -3*m = -0*m + 4*l - n for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 56 = 3*b, -104 = -2*b - 3*b - 3*q. Suppose 5*r - 7 - 8 = 0. Suppose -k + r*k = 22. What is the highest common factor of k and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 148?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/6, 0.2, 3, -1\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93.5393187 and -0.16.\nAnswer: -93.6993187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 193270740 times -4\nAnswer: -773082960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -94.3. Let m = -1.7 + s. What is the third biggest value in m, 4\/7, -0.4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-8)*1*2\/5?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q**2. Let i(c) = 15289*c. Determine i(a(y)).\nAnswer: 76445*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((134\/12)\/(-67)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -109*g**3 + 7*g**2 + 163*g - 5. Let p(k) = 54*k**3 - 3*k**2 - 81*k + 2. Let i(q) = -2*h(q) - 5*p(q). What is the second derivative of i(c) wrt c?\nAnswer: -312*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q. Let c(v) = 16*v**2 + 5*v. Let i = 171 - 116. Let g(j) = -6*j - 55 - 16*j**2 + i. Let p(u) = 6*c(u) + 5*g(u). Calculate a(p(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(3\/5)))**(-16)\/((d**(-21)*d)\/d**(3\/7)))**(-2) assuming d is positive.\nAnswer: d**(-2102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1865 = 35*f - 2250 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -141. Suppose -3*y + 468 = r, 0 = r - 5*r - f*y + 1872. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240 - -249. Let t(s) = q - 258*s**2 - 9 + 44*s**2. Let m(b) = -b**2. Give t(m(y)).\nAnswer: -214*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f + 4 = 0. Let l be f - (61\/(-5) + 2\/10). Suppose -i = -l*i + 301. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4108 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbbbbbbzbbbbzz. What is prob of picking 1 b and 1 z?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361 a factor of 1866817035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*g**4 + 25*g**4 - 6*g**4 + (4*g - 11*g + 4*g)*(-g**3 - g**3 + 0*g**3).\nAnswer: 17*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -33 + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.19, 0.38, -205, 0, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2*(sqrt(128) + 3*sqrt(128)))\/(sqrt(24)\/sqrt(24) + (sqrt(4) - -1*sqrt(400))))**2 + 2.\nAnswer: -23518\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.0435, 1\/4, 1.5, -6, -7, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8194637.69 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25 - 13 - -20) + -1 + -5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/7998 and 55\/16426.\nAnswer: 1527618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152632, -610524, -1373678, -2442094, -3815772, -5494712, -7478914?\nAnswer: -9768378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1098*w = -2*h - 1085*w - 57, h + 6 = 2*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**4 - 4872*w**3 - 58272*w**2 - 232832*w - 310272 = 0.\nAnswer: -2424, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35.2*0.0763\nAnswer: 2.68576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6 - 10. Suppose -p = 4*y + 3*p, -2*y - d*p - 4 = 0. Let z be (-3)\/3 - (-63)\/39. Is y smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436 + 423. What is the second biggest value in 1\/5, z, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/3968749?\nAnswer: -3\/3968749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -12*i + s + 23, -s = -2*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 452187?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5479*t + 4 = 5477*t, 0 = d + 4*t + 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3013 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tmm when three letters picked without replacement from tttmmmtt?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-50) - -1)\/1*80\/(-12)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -25. Let i(m) = 19*m - 1 + 4 - u. Let o be i(5). What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*d**2 + 0)*(0*d - d - 4*d)*(2 - 2 + d + 2).\nAnswer: -15*d**4 - 30*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -29. Let t(h) = 5*h + 9. What is t(l)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -49*u**2 + 11*u + 43. Let o(h) = -17*h**2 + 4*h + 15. What is 17*o(m) - 6*p(m)?\nAnswer: 5*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, 19, -3, -10283, 2 in increasing order.\nAnswer: -10283, -8, -4, -3, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24442\/(-404)*(-9)\/((-171)\/(-38)).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18253863569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -228986?\nAnswer: 22898a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 4*b + 6 + 0*b - 5*b**2 - b**3. Let d be (-7)\/(14\/(-12))*-1. Calculate the remainder when 45 is divided by k(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012111 - -201122012?\nAnswer: 200102201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(2\/3)*j*j*j)\/j)\/j)\/(j\/(j*j**(3\/8))))**(-10\/7)\/(j\/j**2*j*j\/(j\/j**(-1\/6)*j))**(-12\/19) assuming j is positive.\nAnswer: j**(-833\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1982 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + -0.2. Sort -3, -5\/2, c in increasing order.\nAnswer: -3, -5\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + -17 + (47 - 1). Differentiate 10*o + r - 10*o + 149*o**4 + 89 with respect to o.\nAnswer: 596*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3114187\/45 - 69210. Let u = -58\/9 - b. Let d = -0.03 + -0.37. What is the third biggest value in 2, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 6*u**2 - 74*u - 9. Let i be d(-6). Let k(b) be the first derivative of 75\/7*b + 8 + 1\/7*b**i - 15\/7*b**2. Let k(f) = 0. What is f?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67.8 - 67.800015382. What is y rounded to 7 dps?\nAnswer: -0.0000154","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 - 20572*b + 205441. Calculate t(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q**11*q)*q**(7\/6)*(q\/(q\/q**16))\/(q**(-26)*q*q) assuming q is positive.\nAnswer: q**(181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224027?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*z**3 - 1\/6*z**2 + 0*z + 0.\nAnswer: z**2*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 2, i: 4}. What is prob of sequence lii?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*n = -242*n - 506 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/30)\/(2\/10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 109. Let s = n + 128. Solve j - 8 = -5*p, -2*j + 3 = -5*p + s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2. Let a = -142 + 178. Let j(x) = -a*x - 48*x - 1 + 82*x. Calculate i(j(u)).\nAnswer: 8*u**2 + 8*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 9162935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -246835*y**2 - 1563*y**3 + 246835*y**2 + 6 - 6 + 3*y**3 + (2 + 1 - 5)*(5*y**3 + 0*y**3 - 4*y**3) - 4*y**3 + y**3 + y**3 + 0 + 0 + 2*y**3.\nAnswer: -1562*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -3*a**7\/280 - 7*a**6\/60 - a**5\/2 - a**4 + a**3 + 14. Let s(r) be the third derivative of z(r). Factor s(x).\nAnswer: -3*(x + 2)**2*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -28. Let i = -8.8 - -8.932. Let g = -0.432 + i. Which is the biggest value? (a) g (b) p (c) -5 (d) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11228 to the power of 1\/2, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 32 = -14 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.08 from 108301.\nAnswer: 108299.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -5*i**3 + 8*i - 6. Let b(q) = q**3 - q**2 - q. Let n(d) = 4*b(d) + r(d). Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxsxssxxxssx.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 790?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 40806, 163042, 366726, 651858, 1018438?\n\"Answer: 40724*a**2 + 64*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14852159671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75637328 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.7 - -7.721. Let f = -7.021 + j. Let h = 0.006 - -0.294. Which is the fourth smallest value? (a) f (b) -2\/7 (c) h (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9896, 9907, 9920, 9935, 9952?\n\"Answer: a**2 + 8*a + 9887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 5*x**2 - 4*x + 1. Let q be 24\/9 - (-2)\/6. Let s be p(q). Let g(l) = l + 3. Let b(n) = 1. What is s*b(a) - 2*g(a)?\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-208) - ((-4 - (-934)\/104) + (-11)\/(-44))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 812900008 + -812900028.59999506. Let w = -21.36 - -0.76. Let m = w - c. Round m to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 8175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -394193*u**4 - 25*u**2 + 7*u - 412 wrt u?\nAnswer: -9460632*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/40 + (-112914)\/585480?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*b + 1162 = w, -3*w = -5*b - 705. Let y(o) = 2*o**2 - 263*o + 1275. Let l be y(5). Calculate the highest common factor of w and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 625*b = 629*b - 12. Let r(c) = -3*c - 3*c - 2*c**2 + 3 + 4*c. Let k(f) = 2*f**2 + 3*f - 4. Determine b*r(j) + 2*k(j).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.7 + 16. Round h to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (344 - 886 - 1691)*(c**2 - 3 + 3) to n*c + q + p*c**2 and give p.\nAnswer: -2233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 257 = 5*d - 192, 70 = -2*m - 6*d for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -2\/31, 2\/13, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -690, -702, -730, -780, -858, -970?\nAnswer: -1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -2.4.\nAnswer: -33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s**3 - 4*s**2 + 26*s + 26. Does 39 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 191216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32013?\nAnswer: 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 4*r + 33. Suppose -2*b - 13 = -r, -5*b - 43 = 3*x. Let p = x + 70. What is the highest common factor of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wawj when four letters picked without replacement from {d: 1, j: 10, a: 1, w: 7}.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9 - -17.6. Let t(m) = -m**2 - 9*m + 2. Let q be t(-9). What is the nearest to q in h, -2\/5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 371*z - 3616. Determine g(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-69)\/6 + 1\/2. Suppose -150*m = -148*m. Let k be ((8 - 9)*3)\/(-1*1). Put k, m, w in decreasing order.\nAnswer: k, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/((-192)\/(-12)))\/(-1*1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2472 and 5\/86630416.\nAnswer: 259891248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 5. Let b be f(0). Let c = -16 + 0. Let z = 20 + c. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 178, 193, 224, 277, 358, 473?\n\"Answer: w**3 + 2*w**2 + 2*w + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1343.94 - 1344. Which is the nearest to r? (a) 5 (b) 4\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = -675078 + 213141. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, r: 1, l: 3, a: 2}. What is prob of picking 3 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 4. Suppose -m = 3*x - 18. Suppose x*h = -5*s + 60, 0 = 3*h + 6 + 6. What is the smallest common multiple of 18 and s?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 22*h - 28. Let m(x) = -x. What is s(m(y))?\nAnswer: -22*y - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*a - 36 = -73*a - 2*b, -a = -4*b + 6 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 805 divided by 161?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 8 + 8. Let i = 1784 + -1777. Solve -n*z + i = -5*j, 2*j = -z - z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2168+33\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*r - 0*r. Suppose -5*n - 6 = -h + 72, n + 2*h = -r. Let m = -11 - n. Solve -m*v = -2 - 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u. Let y(s) = -s**2 - 5*s. Let m(c) = -4*i(c) - 3*y(c). Let k be m(-3). Solve 4*f = 4*l - 12, -l - 2*f - k = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 9.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 52? (a) -179\/50 (b) 3\/7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4021221?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 797666903 to the nearest 10000.\nAnswer: 797670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*o - 0*f + 1456, 0 = 2*o - 3*f - 577. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -3 + -7 + 2 + 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (236\/413)\/((-4)\/(-14)) - -937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 2\/11, 1, -3, 0.5 in descending order.\nAnswer: 1, 0.5, 1\/3, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/3 - -198. Suppose -3*t + 2*a = 198 - 798, -v = -t + 2*a. Let f be (-8)\/10*t\/(-16). What is the highest common factor of f and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -3 + sqrt(99))**2*4.\nAnswer: -144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*i - 22, 4*u - 3*u + 17 = 4*i. Solve -i*a + 3 + 0 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 3*f + 322*f**2 - 320*f**2 + f**3 - 3*f**3 to the form t*f + v + q*f**2 + p*f**3 + k*f**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 332 + 207. Suppose -s = 2*p - 83. Solve 4*t + p*x = -2*x - 11, 5*x = -t - 14 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of 3\/2*m**2 - 3\/2*m**3 + 0 - 5*m + 1\/12*m**4. Let a be q(7). What is a rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -308 + 129. Let k = 295 + a. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -394602.39 - -392746. What is c rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -331?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 3 = -3*m. Suppose -2*a + p - 4 = m*p, 23 = a - 3*p. Suppose -4*l = -a - 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {h: 2, j: 5, c: 4, t: 2}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -1156, -3958, -9420, -18430, -31876, -50646?\nAnswer: -75628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3603299867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 686 = -15924. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2748504959?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 36.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4 + 73712*g**3 + 18740218*g**2 + 37259308*g + 18592800 = 0.\nAnswer: -36600, -254, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10111101010101001?\nAnswer: 10111101010100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2048 - -2047. Let z(c) = -12*c - 6. Let o(t) = -t. Let f(u) = 4*o(u) - z(u). Let k(q) = -3 - q + 6 - 4. What is h*f(p) - 6*k(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(20)*-2*4)\/(sqrt(64) - sqrt(64)*-1))**2*2.\nAnswer: -12*sqrt(5) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12785.5458701439 + -12730.31852924. Let m = x + -0.2273412139. Let t = m + -55. Round t to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1882 + -1882.2. Which is the fifth biggest value? (a) m (b) -0.4 (c) -21 (d) -22 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38082 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 + 73*w**2 + 6*w + 9. Let o(a) = -5*a**3 + 71*a**2 + 5*a + 7. Calculate -3*i(u) + 4*o(u).\nAnswer: -2*u**3 + 65*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/4)\/((-5)\/20). Suppose i - b = -2. Solve -5*t - 11 + i = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**9\/7560 - g**8\/1120 + g**7\/630 - g**4\/12 + 2*g**2. Let r(a) be the second derivative of d(a). Solve r(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 3 - 682\/(-15). Let h = 146\/3 - b. Let n = 69\/20 + -16\/5. Put -1, n, h in increasing order.\nAnswer: -1, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 5. Find the third derivative of w*l**3 + l**3 + 7*l**2 - 8*l**3 wrt l.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32\/3*y - 4 + 11*y**2 - 7\/3*y**3 = 0 for y.\nAnswer: -2\/7, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2 + 9 - 14 + 5. Let u(v) = 8*v. Calculate u(y(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.410028 - -0.41. What is w rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and (1008\/140)\/((-3)\/(-10))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 44*y - 5 - 96*y + 44*y - 57*y.\nAnswer: -y**2 - 153*y - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4) + 1\/(-2). Let v = -1 - -1. Let t be k + -2 + 6 - v. Solve 0 = -2*u - t + 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 0.5 (c) -52 (d) 3 (e) 39 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + h - 805 = -17*t, -4*t + 663 = -3*h. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 11010001000000?\nAnswer: -11010000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-22) - 15301\/1573?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105083\/6 - -17514. What is the closest to -306 in q, 1\/9, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**27)**(15\/7) assuming i is positive.\nAnswer: i**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -15. Which is smaller: z or -2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(51)\/sqrt(3)*-2 + -2.\nAnswer: -2 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 421*t**3 - 2434?\nAnswer: 1263*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14155214 - 12?\nAnswer: 14155202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(2\/3)\/g*g)*g)**41*(g**(-1\/4))**15*g**(2\/9)\/g**(-5\/2)*(g\/g**(1\/13))\/g**3 assuming g is positive.\nAnswer: g**(43319\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**2 + 2*t + 6. Let u(o) = 3*o**2 + 2*o + 5. Let n be (-1)\/5 - (-33)\/15. Let q be (3 - 5)\/(n\/5). Give q*x(c) + 6*u(c).\nAnswer: -2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -0.3, -1\/70?\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3340 = 2*m, 0 = 4*m - 3*m + 4*b - 1667. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + 20. Let u = -939 - -1141. What is the remainder when u is divided by g?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivvviiivviivvviiiv. Give prob of picking 1 i and 1 v.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259767 divided by 243.\nAnswer: -1069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5 - 14 + 7*s - 2*s**2 - 7*s**2. Let t(b) = -5*b**2 + 4*b - 5. Let g be 2*(-2)\/4*-1. Let k be (2 - -1) + (-7)\/g. What is k*o(r) + 7*t(r)?\nAnswer: r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - ((-455)\/145 - 1). Let t = -55\/609 + d. Calculate the common denominator of t and 47\/39.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 4 - -1*7. Let u = 11 - q. Suppose -10 = -u*n + 5. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + -4 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a factor of 11536938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/45 - (-119)\/9. Let p = -3 + m. Let y = 16 - p. Solve -z = -y*z - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 24. Suppose -17*i = -13*i + h. Let w = 0.8 - -0.2. What is the closest to 0.1 in w, i, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1. Let o(q) = -12*q + 7. Determine -o(p) - 5*x(p).\nAnswer: 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 12*f**2 + 29*f + 3. Calculate q(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/2 (c) -3 (d) 2 (e) 1\/7 (f) 4660\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (366\/(-63))\/(16\/(-774)). Let c = k - 1091\/4. Let s = c + 155\/21. Find the common denominator of 61\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*v)*(-24*v - 28*v - 18*v)*(2*v - 3 + 3).\nAnswer: 280*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 56736580 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 60 = -3*u. Calculate the remainder when 72 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*m - 96*m + 460 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-4 - -14 - (3 + -9) - -7).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 rounded to the nearest ten?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 + 2.5. Let x = 379\/25 + 42047\/175. Let s = -255 + x. Which is the nearest to -1? (a) s (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 46 - 7 = 0. Let s = i - 7. Calculate the remainder when 86 is divided by ((-174)\/(-4))\/(9\/s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 462 and 7238?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1406*o = -165*o + 391*o - 81600 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.105 + -3.015. Which is the third biggest value? (a) 2\/15 (b) -0.2 (c) g (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from vhhvhhvhvhhvvhhvvvhh.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93298159 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150835256 + 22.\nAnswer: 150835278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 104985584, 104985602, 104985632, 104985674, 104985728?\n\"Answer: 6*o**2 + 104985578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or -819566?\nAnswer: -819566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:47 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -163374926 divided by 103862\nAnswer: -1573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(20\/11) + (-6)\/8. What is the third derivative of 2*c + 17*c**3 + 0*c**2 + 4*c**3 - 16*c**b wrt c?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -l**2\/2 + 2*l + 2. Let c be g(0). What is the tens digit of 1\/c + 98\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -204 + 215. What is the least common multiple of n and 161?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -144, -262, -378, -492, -604, -714, -822?\n\"Answer: g**2 - 121*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (48\/140)\/((-4)\/10)*-21*56\/4872\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/13 - (-3933)\/39. Suppose 3*n - o = q, -3*n - 2*q = q - 117. Let m = n - 5. Solve 5*i = -4*l - m, 5*i = 3*l - 4*l - 15 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 4. Suppose 4*q + 526 = 3*a + 153, -q = -w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a**4\/9 + 170*a**3 - 19466*a**2\/3 - 551512*a\/9 + 47168\/3 = 0. Calculate a.\nAnswer: -8, 1\/4, 67, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224 and 560.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(228)\/(sqrt(12)*-2)).\nAnswer: 2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.7, -14, 6, -671\/2?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 171141 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 53, 134, 215, 296, 377?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(5\/4)*v)\/v)**(-3\/31)\/(v**(-3)\/v*v)**(16\/7))**(-5\/6) assuming v is positive.\nAnswer: v**(-9745\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0, -3366 in increasing order.\nAnswer: -3366, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -80. Let w(x) = 2*x**2 + 4. What is c(a) + 20*w(a)?\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192.2 + 192. Let o be (6\/(-14))\/((-9)\/(-6)). What is the fourth biggest value in o, p, 0.5, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 260\/4 + 6 - (-1 - -1). Let t = 78 - q. Calculate the remainder when 11 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from lgglglglllllll?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573 by 74528.\nAnswer: -573\/74528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 0*s + s**3)*(614 - 725 + 1383 + 3*s + (-2 + 2 - 2*s)*(1 - 2 + 3)) as t + x*s**2 + n*s**4 + b*s**3 + p*s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4 + 17*n**3 - 4*n**4 + 7*n**3 - 104*n - 6*n**3 wrt n?\nAnswer: -84*n**2 + 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1852, 1839, 1816, 1777, 1716, 1627, 1504?\n\"Answer: -i**3 + i**2 - 9*i + 1861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = -m. Let j(c) = -c**3 + 2*c**2 - 4*c + 3. Let q be j(1). Solve q = -m*g + g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r + 38*r + 5 = 2*m, -4*m - 4*r - 20 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -12) + (57 - 67)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6246819?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*m - 32 + 4, 3*x - 89 = 4*m. Let y = -16 - m. Suppose -y*t + 44 = b, 4*b - 2*t + 4*t = 148. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1270 - 1269.6. Let v = 6 + -4. Which is the closest to 1? (a) v (b) w (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 118328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -4*s**2 + 7*s - 7. Let c(x) = -2*x**2 + 3*x - 3. What is -7*c(t) + 3*j(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 126620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:46 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1523 (base 12) to base 15\nAnswer: b00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71 or -924\/13?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 0*i**3 + 0*i - 5 - 11*i**5 + 0*i**4 - 21\/2*i**2. What is the second derivative of j(x) wrt x?\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109\/4 - -27. Let h = o - 211\/20. Calculate the common denominator of h and -111\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4521 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*y + 207*y - 136*y as c + w*y and give w.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffmcotoftotttmttoo. What is prob of sequence mf?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 16*r - 17. Let z be (-3)\/((33\/(-18))\/(-11)). Let f = 142 - 138. Calculate the smallest common multiple of k(z) and f.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001263302 rounded to six decimal places?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1341? (a) -4 (b) -5\/8 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4\/3, -20, 2 in ascending order.\nAnswer: -20, -2, -4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - ((-1211)\/(-252) - 5)*20?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3150 - -3147.163. Let l = -0.163 + g. Let w = 10 + -5. What is the second biggest value in w, l, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = -14*c + 26 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, r: 3, o: 2, v: 2, b: 2}. What is prob of picking 2 f and 2 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -22. What is the highest common divisor of 60 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -4203371\nAnswer: 1\/4203371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5861 is divided by 325.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b. Let n(s) = 651*s + 212. Give u(n(w)).\nAnswer: -1302*w - 424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10+-4124228081\nAnswer: -4124228071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u**3 + 2*u**2 + u + 3. Let k = 6942 - 6939. Calculate c(k).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + (108 - 119) + 17 + 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9917 is divided by 4939?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -9*d**4 + 57*d**3 - 120*d**2 + 84*d = 0.\nAnswer: 0, 2, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 33*u**2 - 82453*u + 8*u**2 + 82452*u)*(-3 - 4 + 5).\nAnswer: 50*u**2 + 2*u + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10075127*0.5.\nAnswer: 5037563.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 + 6*v + 13. Let u be o(6). Let c = u + -8. Solve c = -0*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34818 = 6*t + 34764. Which is the biggest value? (a) -5\/6 (b) t (c) -7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -7. Let x = a + -5. What is the nearest to 2 in x, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -57, -91, -127?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k + 2. Let t be y(-1). Suppose t*m = 18*m + 28. What is the highest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42876.38 centuries?\nAnswer: 428763.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 6:40 AM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(2541) + (sqrt(2541) - (2*sqrt(2541) + sqrt(2541))))*5)\/(2*(sqrt(112)*6 - 6*sqrt(28))) + -3.\nAnswer: -3 + 55*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 10) to base 9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-12)*(w\/(w*w*w**24*w))\/w assuming w is positive.\nAnswer: w**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 6624 = -3*w, 2*w = 3*w + 3*v - 2208. Is w a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t**3 + 4*t**3 - 4*t**3)*((3*t - t + t + (5*t - 2*t - 2*t)*(-3 + 5 - 3))*(-4*t + 5*t - 2*t) + 8*t**2 + 5*t**2 + 4*t**2).\nAnswer: -225*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(478\/(-80) - -6). Solve -3*i - 2*o + 0*o = 1, 4*i = 4*o + j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 152455, 152483, 152513, 152545, 152579, 152615?\n\"Answer: a**2 + 25*a + 152429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -2. Let w(q) = q**3 + 6*q**2 - 2*q + 3. Let n be w(g). Let h = n - 26. Calculate the smallest common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67 (base 12) to base 3.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49228765 and 4010?\nAnswer: 2005","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14756270 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 4*g + 21, -3*g - 1 = -5*f - 7. Put 3, -4, f, 4 in descending order.\nAnswer: 4, 3, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q**(1\/18)*q))\/q)\/(q**(-2\/25)\/q*q))**(-1\/20) assuming q is positive.\nAnswer: q**(-11\/9000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -258 + 261. Solve 0 = t*j + 2*j + 4*q - 21, 4*q = 3*j - 19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 2 = -10*i. Let j(u) = 38 - u**i - u**2 - u - 4*u - 31. Calculate j(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.49389131 to one decimal place.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 6*j + 11. Let m be s(-4). Suppose -36 = m*r - 21. Are r and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 6*o + 0*o**2 + 0*o + 2*o**2. Let f(k) = k**2 - 7*k. Let s(g) = -4*f(g) + 5*n(g). Factor s(y).\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 80, 125, 198, 305, 452?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 6*r - 5*r - r + 4*r. Suppose 4*u + 5*l + 5 = 0, u + 0 = 2*l + 2. Let i(q) = 4*q - 2*q + u*q. Give j(i(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/2 - 0) + 4. Suppose 0 = -0*o + o - n, -2*o = q*n - 14. Let z(y) = -o*y + 2*y**2 + 2*y. Let w(m) = -3*m**2. Give w(z(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 260 = 21*h - s, -38 = 5*h + 13*s - 16*s for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277 + 278. Let v = -4 + 7. What is the third smallest value in -5, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 6 - (5 - 7)) + (4 - 19) - -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 11*s**2 + 8*s + 6. What is w(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 18\/55 (b) -4\/11 (c) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1824562795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 66\/25, 36, -0.5, -2, -14, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/8906192?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:46 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -957?\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + ((-242)\/(-44))\/(1\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + 15350?\nAnswer: 15362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 + 12 = 4*t, -18 = -5*t + s. Suppose -t*p = p - 150. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(55)\/sqrt(11) + -2 - (3 + sqrt(20)\/sqrt(4) - (2 + sqrt(5) + -5)))**2.\nAnswer: -32*sqrt(5) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -1\/2*r**3 + 141\/20*r**5 - 19*r**2 + 0 + 0*r + 1\/12*r**4. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -133, -2, -1, -3, 1, -8498 in decreasing order.\nAnswer: 4, 1, -1, -2, -3, -133, -8498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6186, 25079, 56564, 100641, 157310?\nAnswer: 226571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*u**3 + 2*u**3 - u**3)*(-19 - 4 + 5)*((-u + 0*u - u)*(0 + 5 - 3) - u + 2*u + u) as h*u**3 + t*u + q*u**4 + i + v*u**2 and give q.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*t - 26*t + 75*t + 2 - 72*t.\nAnswer: -110*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2582432 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12824 a factor of 541822833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/12)\/1*(-2)\/6. Put a, 0.3, 4\/5 in ascending order.\nAnswer: a, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - 31.3. Let z = k + -1.7. What is the third biggest value in 1\/3, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3366 and 713394.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(367*g - 730*g + 3 + 357*g).\nAnswer: -6*g + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + z. Let v = 10 - 13. Let d(p) = p**3 + 14*p**2 + 9*p + 5. Let n(r) = v*h(r) - d(r). Is n(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -10*p - 3*l + 16254, -21627 = -4*p + 5*l. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 1)*3\/1. Suppose 93 = 11*v - 160. Suppose -t*q - w = -v, 4 + 18 = 2*q - w. Is 8 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1232 - 651 = -356*t + 297*t - 3195 for t.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001110001001110110 (base 2) in base 9?\nAnswer: -2065810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 30. Suppose 5*a - 2*r = 21, 5*r - 8 = 2. Suppose 3*n + a*w - 178 = -n, m*n - 3*w = 204. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 25, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2 - 4*t - 6. Let y(w) = -w**3 + 4*w + 5. Let v(l) = -4*y(l) - 3*z(l). Let q be v(5). What is the greatest common divisor of 7 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/13 (b) 1\/7 (c) 7.4 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -v - 2*d, 3*v + 13 - 1103 = 2*d. Calculate the highest common factor of 810 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33956 (base 14) in base 12?\nAnswer: 60634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.3 * -65.\nAnswer: -539.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.82 and -0.5.\nAnswer: 3.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25457633720 - 905.\nAnswer: -25457634625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = b - 2*w, 4*b + 2*w - 3*w = 919. Is 46 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(-308) + 0 + 13\/33*6780\/14690?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -22410 (base 5) to base 4\nAnswer: -121011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12483319?\nAnswer: 23, 37, 14669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1584)*-1 + 0 + sqrt(1584) + -1 + 2)**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -26*s + 16*s - 30, 2 = -z - 2*s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6138.27 - -6148. Which is bigger: -1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.23 - -0.36. Let k = 0.03 - v. Let o = 5.3 + -1.3. Which is the second smallest value? (a) 0.5 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n - 11. Let v be l(6). Let i(b) = -b**2 - 5*b + 3. Let s be i(v). Let r = s - 2. What is the nearest to r in 0.5, 2\/7, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (787 + 785 - 2352 + 2734*k + 780)*(k**2 + 0*k**2 + k**2).\nAnswer: 5468*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 6*x**2 - 5*x**2 + 4*x**3 - 5*x in the form m*x**2 + s + a*x + v*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 8. Let l be b(8). Suppose l = 11*u - 32 - 23. Let m(q) = q**2 - 3*q - 4. Determine m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.6 - 9. Let p = 4 + q. Let t = -74.65 - -74.6. Which is the third biggest value? (a) t (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = -563*i + 545*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.2, 0.5, -0.014, -3\/85, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 397 = 3*c, 0*c + 289 = -3*q + 4*c. Let j be 2\/7 - q\/7. Suppose -u + j = 3*v - 0*u, -4*v - u = -21. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.2, 5, -104.47?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -589, -609, -647, -709, -801, -929, -1099?\nAnswer: -1317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.14, -2, -15, 1.3, 26 in descending order.\nAnswer: 26, 1.3, -0.14, -0.4, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 - 9572*f + 11452898 = 0.\nAnswer: 2393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*t - 9*t**3 + 0*t**3 - 13*t**3 - 2135 - 25*t + 2137 to p*t + h*t**2 + j + k*t**3 and give k.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -332584?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173119?\nAnswer: 233, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202 > 3200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.8 - 6.8. What is the nearest to -2\/7 in 3, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - -20. Let a = -17 + m. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -1242*b**2 - 16146*b + 3. Let n be t(-13). Let m(s) = s. Let r be m(0). Solve 5*z = -n*j + 7*j, z = r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1351660*z - 8*z**2 - 5*z**2 + 12*z**2.\nAnswer: -z**2 - 1351660*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -2*f**3\/3 - f**2 - 3*f + 172. Let m(w) = w**2 + 1. Calculate -g(h) - 5*m(h).\nAnswer: -3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87195*k**2 + 82558*k**2 - 169749*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 1324332?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (1 - 7)) + -5 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - (-2100)\/96)\/(4 - 3).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -100*k + 124. What is d(4)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 451 - 4?\nAnswer: 44c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -102 + 6*o**2 + 4*o + 60 + 23 + 19 + 2*o**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-741)\/(-228) - 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xd when two letters picked without replacement from dkodokddx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 235.19 - 234. Let h = n + -0.69. Which is the biggest value? (a) 5 (b) -4 (c) h (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -5*f**4\/4 - 5*f**2 + 6. What is the second derivative of v(o) wrt o?\nAnswer: -30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -237c61?\nAnswer: -237c60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 688490 = -32*t + 2157949. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*(k\/(k**6\/k))\/k*k)\/(k\/k**1*k)**28 assuming k is positive.\nAnswer: k**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -107408, -107360, -107310, -107258, -107204, -107148, -107090?\n\"Answer: h**2 + 45*h - 107454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -66.2.\nAnswer: 52.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21374141 to the power of 1\/2, to the nearest integer?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 11655?\nAnswer: -11654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**4\/4 - 605*i**2. Let l(w) = -w. Determine b(l(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -266390000 to the nearest 1000000.\nAnswer: -266000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddn. What is prob of picking 2 d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 - (0 + (-3 - -6) - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {b: 1, q: 3, w: 1, c: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 1. Let t(s) = 9*s - 1. Let n(r) = -t(r) - 3*v(r). Calculate n(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45278*z - 45293*z - 45283*z - 45285*z + 181141*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 5955.\nAnswer: 2\/1985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2125115 divided by -643.\nAnswer: 3305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-15) + (-1)\/5. Let w be (-2 + r - 1)\/1. Let c be ((-50)\/(-3))\/w*-138. Round c to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9273 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**2 + 39*c**2 - 75*c**2 + 19*c**2 + 12*c**2 + c**3.\nAnswer: c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*y - 13. What is the remainder when 47 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.53 + 0.43. What is the nearest to -3\/4 in v, 0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17.63 and -2624.\nAnswer: -2641.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) -1 (b) -3.9 (c) 1 (d) -4 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j - 3*j)*(4*j**2 - 4*j**2 - 12*j**2) to c*j**3 + x*j**2 + i*j + a and give c.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 20 = -5*g, 3*u - 8 = 2*g - 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3839475 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - (45 + -31 + (-14 - 10 - 6)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 9:11 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 AM and 6:46 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -78033.0259 to the nearest one thousand.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/(125\/(-30))*(-15)\/(-18).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -88480.2576152 and 0.02.\nAnswer: -88480.2376152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-2\/7))\/((b\/(((b*b*b*(b\/(b\/(b*b**(-2\/9))))\/b*b*b)\/b)\/b))\/b))\/((b\/(b*b**(2\/3)*b))\/(b\/b**(-5))) assuming b is positive.\nAnswer: b**(739\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.62149mg to nanograms.\nAnswer: 5621490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:09 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 172849546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Let t(x) = 0*x**3 - g - 4*x**2 + x + 3*x + x**3 + 0*x. Give t(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + y - 4*y + 2*y + y - 4*y + (7 - 3 - 3)*(0 - y + 0) - 102 + 102 + 21*y - 8 - 4*y + 7 + 3 + (0*y + 0*y + 2*y)*(1 - 2 - 1).\nAnswer: 9*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -78 + 1\/2*w**2 + 0*w. Let g(u) be the third derivative of 5*u**5\/12 + u**2. Determine g(x(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 168715*p + 18105.\nAnswer: 168715","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (268*d**4 - 76*d**4 + 125*d**4 - 2 + 2 + d**4 + (3*d**2 + 0*d**2 - 2*d**2)*(3*d**2 + d**2 - 3*d**2))*(5*d - d - 2*d)*(-2 + 0 + 0).\nAnswer: -1276*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -929*m - 858*m + 1896*m.\nAnswer: 109*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 + 0*d**3 + 0*d**2 - 1\/2*d**4 + 3\/20*d**5 + 2*d. Find f such that w(f) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -493 + 452. Which is bigger: z or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (12\/2)\/((-8)\/(-132)) and 8?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.148308m to millimeters.\nAnswer: 7148.308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*z + 43. What is the smallest common multiple of z and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413104246 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -354\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 - 8*t + 8. Let s(l) = -18*l - 3 + 0*l**2 + 12*l - l**2 + 9*l. Suppose 0 = 2*k - 5*a + 9, -2*k - 4*a = a - 21. Calculate k*q(o) + 8*s(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1269*g - 99. Let s(h) = -51*h + 4. Determine 4*j(n) + 99*s(n).\nAnswer: 27*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104 + -3?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -166 + 178 + -1 + (2 - (3 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*l + 39, 35*j - 30*j = -l + 49. Calculate the highest common divisor of j and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012422 to 6 dps.\nAnswer: -0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d - 26. Let n be h(0). Let b = 26 + n. Let l(p) be the third derivative of -p**4\/24 - 19*p**3\/6 + 2*p**2. Calculate l(b).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**2 + 2*p**2)*(2*p + 1 - 1) + 3*p**3 - 101*p**3 - 64*p**3 - 8*p**3 + 4*p - 2*p - p.\nAnswer: -168*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33040)\/(-59))\/70*(-2)\/20)\/(1\/60).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -2, 13, 8, 1110, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/3148896 and -74\/6396195?\nAnswer: 204678240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b - 22 = 13823*f - 13822*f, 137 = -b + 4*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 - 49470\/(-32 - -15). What is the greatest common factor of 129 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -11*d + 1. Let u(y) = 126*y**2 - 62*y**2 - 16*y - 6 + 29 - 63*y**2. Let o be u(14). Is 11 a factor of n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 835*o + 476. Determine g(-418).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 946.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44598?\nAnswer: 2, 3, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*-13\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a**2 + 5. Let u(j) = 2*j**2 - 2. Give 6*g(p) + 15*u(p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-645)\/(-60) + (-6)\/8. What is the remainder when ((-88)\/k)\/2*-25 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.513 + 21.513. What is the nearest to r in -1\/3, -1\/7, -1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 30 = s + 7, 0 = 5*s + 10. Solve i + 5*d - 7 = 0, -2*d + j = -0*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 53*x - 56*x. Put 0, -3, x, 5 in descending order.\nAnswer: 5, 0, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -534421644*d**2 - 391958920?\nAnswer: -1068843288*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -15d (base 16) to base 3\nAnswer: -110221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(9))\/sqrt(4) + (-5*(sqrt(56)\/sqrt(8) - sqrt(7)))**2.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20195 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 - 6*w + 6. Calculate the remainder when p(5) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 3*s**2 + 11 - 27.\nAnswer: 3*s**2 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 185124 divided by -185124\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g + 8. What are the prime factors of j(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1754*h**2 + 3. Let f(v) = -3507*v**2 - 7. Give 6*f(u) + 14*r(u).\nAnswer: 3514*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*o = -120*o - 95 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -816 + 9*k**3 + 817 - k**3 - k**2. Let i(r) = -r**3 + r**2 - 1. What is i(j) + o(j)?\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 6:47 AM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5389517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from kkkskkkkksskskkkkkkk?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 10778.35 tonnes?\nAnswer: 10778350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 179413, 358839, 538267, 717697, 897129?\n\"Answer: d**2 + 179423*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-4))\/((-63)\/(-252))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 9*t**2 + 10*t - 9. Let h be v(8). Let q be -4 + h - 14\/3. Is q < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - -1.9. Let l be 1\/6*2*-5. Let c = -2.96 + -0.04. What is the third biggest value in l, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.99. Let y = -0.59 - r. Let k = y - -0.61. Is k > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/35946 and 11\/155766.\nAnswer: 467298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 5. Let f(i) = 9*i - 5. Give 3*c(x) - 2*f(x).\nAnswer: 6*x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 8*f - 1. Let m be p(7). Let l = m + -29. Let j = l - -19. Put j, -2, -5 in decreasing order.\nAnswer: -2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.723 - 0.277. Which is the third smallest value? (a) 0 (b) -44 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -95. Suppose -6*q + r = -115. Suppose -24*t + q*t = -60. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:01 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22238, -44477, -66716?\n\"Answer: -22239*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1324 smaller than -25150\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -470, -901, -1586, -2651, -4222, -6425, -9386, -13231?\n\"Answer: -21*y**3 - y**2 - 281*y - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42519.\nAnswer: 3, 14173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/60990334 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 459630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**4 - 4*c**4 + 2*c**4)*(-1842 + 40*c + 155 - 130*c + 47*c + 42*c).\nAnswer: -2*c**5 - 3374*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 248 and 1147?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-5))\/(32\/80). Suppose 2*u + n = 8, -5*d = u - 17. Solve -d*z - 3 + 15 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v*v**(-2\/35))\/v*v)*v**(-6))**(3\/13) assuming v is positive.\nAnswer: v**(-48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 801 and 73078879?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.4. Let s = 0.6 - l. Which is the nearest to 1? (a) s (b) -1\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4 - 7*u**3 + 3*u**2 + 19*u - 14.\nAnswer: -(u - 1)**2*(u + 2)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 36 + 0 - 1\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w + 26. Let p(i) = i - 2. Let l(b) = p(b) + t(b). Let y be l(-8). Let r = y - -121. Solve -4*a - a = -r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -177086762 + 251186762. What is d rounded to the nearest one million?\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 + 3938\/(-88))\/((3\/40)\/((-36)\/30))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.9914918 to 3 decimal places.\nAnswer: -20.991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, e: 2, k: 5, r: 6, l: 1, w: 1}. What is prob of sequence srk?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11177*g**5 + 145*g - 40?\nAnswer: -223540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g = -4*k + 32, -k + 5*g = -16. Suppose 0*q - 3*q - k = 0. Let i be (-2 - q) + 11 - -1. What is the highest common divisor of 30 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1068*s**3 - 2726.\nAnswer: -3204*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 0*t + 3*t)*(-50*t + 25*t + 31*t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 151655 (base 11) to base 12\nAnswer: b4959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -143, -4, 3\/53, -1\/4, -1 in decreasing order.\nAnswer: 3\/53, -1\/4, -1, -4, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1235530*x + 2. Let m(h) = 3*h**2. Determine r(m(y)).\nAnswer: -3706590*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*k**2*y**3 - k**2*y - 31*y**5 + 93*y + 3 wrt y?\nAnswer: -54*k**2*y - 620*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*(5 + -7). What is the remainder when (1 + z)*(-21)\/(-6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:56 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(((-2)\/16*12)\/((-6)\/(-4)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 675, 1330, 2007, 2718, 3475, 4290?\n\"Answer: 2*s**3 - s**2 + 644*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 902*c + 395. Is w(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 + 21*w**2 + 123*w + 99 = 0.\nAnswer: -3, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -103 + -280920\nAnswer: -281023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 22. Let f be 126\/(-3) + 3 - i. Let j = f + 66. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -32*j - 409. Let y be p(-49). Calculate the greatest common divisor of 61 and y.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/96 and 29\/5584?\nAnswer: 33504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 10. Let q be t(-2). Suppose -1377 = 5*i - q*i. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 953666378.\nAnswer: 2, 7, 47, 229, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g + 3*g. Let a(p) = g*p - 1 + 4 - 5*p - p. Suppose 5*q + 7 - 22 = 0. Calculate a(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 125524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/2 - 1)*40\/(-12). Suppose -29*h + g = -26*h. Solve 4*p - 5*n = 2*p + 10, -h*p - 2*n - 4 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(104)*1 - -5*sqrt(104)*1)\/(sqrt(200)*-2 + sqrt(200) - sqrt(512)*2) + -2)**2.\nAnswer: 44*sqrt(13)\/21 + 3337\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1281*o - 3915*o + 1308*o + 5*o**2 + 1326*o.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 3*h + 4. Let m(u) = 2*u**3 - 6*u + 9. Let n(b) = -2*m(b) + 5*z(b). What is n(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122580204 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075425739?\nAnswer: 811, 1326049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 399\/45 - (-4)\/30. Let j(b) = 7*b**2 - 5*b - 10. Let f(z) = -z**2. Let s(x) = 6*f(x) + j(x). Is s(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyfvvvvfvvyuvvuv. Give prob of picking 1 f, 1 y, and 2 u.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -44*t + 14*t + 13*t + 12*t. Calculate w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**3 + 20688*f**2 - 27538164*f + 2024009208 = 0.\nAnswer: 78, 2547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.96 - 86.96. Let d = -85.13 - p. Round d to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -274 - -279. Suppose 367 = 2*x - 5*p, -5*x - v*p + p = -934. Calculate the remainder when x is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence te when two letters picked without replacement from tttztewttzttwtkttttz?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 105. Let s = t - -25. Calculate the remainder when s is divided by ((-72)\/32)\/((-6)\/56).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -9*y**3 + 16*y**2 + 9*y - 16. Let i = 64 - 61. Let x(p) = 8*p**3 - 17*p**2 - 8*p + 17. Let j(l) = i*g(l) + 4*x(l). Factor j(a).\nAnswer: 5*(a - 4)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564428747 divided by -287827?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0)\/(((-30)\/18)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l + 21. Let s be k(-4). Suppose -6 = -3*i - y + 8, -5*y = -5*i + 50. Which is the nearest to i? (a) s (b) 5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4398 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.3 + -46122.092.\nAnswer: -46124.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 v when four letters picked without replacement from cvccccccccvvccvccc?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 4 = -c + 4*c, 1 = c - y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuqpuzlzuzlzzazpu. Give prob of sequence pp.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811 = -14*v + 113. Let o be (-1)\/(-6) - (-517)\/v. Suppose -s + o*s = 644. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/23)*w)\/((w*w\/(w*w\/(((w*w**3)\/w)\/w)*w*w))\/w*w))**42 assuming w is positive.\nAnswer: w**(924\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + t - 2. Let w(f) = -84*f**3 - 6*f**2 + 9*f - 12. Suppose 5 = 7*s + 12. Let m(c) = s*w(c) + 6*l(c). What is the third derivative of m(v) wrt v?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*k - 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18114 - -30114. Suppose -8000 = -4*s + 2*s. Suppose -m + 0*m + 5*j - s = 0, 3*m + p = 2*j. Round m to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 21*v**2 - 18*v - 1. Determine p(-20).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3 - 4 + 6. Let b(o) = -5*o**3 - 3*o**2 - o + 12. Let c be b(0). Let a(r) = 2*r**2 + 6. What is c*j(n) + 2*a(n)?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -53 - -130?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/15 - 24338*y\/15 - 8112\/5.\nAnswer: -2*(y + 1)*(y + 12168)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000077 to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111101011?\nAnswer: 111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2089*w + 2061*w = 84 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -9409\/4 bigger than -2353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 43065?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-111)\/(-84) - 27\/36?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8871, 17657, 26443?\n\"Answer: 8786*v + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30320284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5696770.\nAnswer: 2, 5, 19, 29983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 11\/113, -1, 1.5, 911?\nAnswer: 11\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*d = -48 - 12, -2*d - 112 = -5*m. Let r be (-1)\/(9\/(-21)) - 2\/(-3). Suppose -r*x = -m - 96. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12688 divided by -3172?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 - 1434 = 9*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -653396\nAnswer: 4573772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 719, 1471, 3055, 5741, 9799, 15499?\n\"Answer: 45*q**3 + 146*q**2 - q + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(-7*m + 35*m - 8*m) + (2*m + 0 + 0)*(-2 + 3 - 3) + (0 + 0 + m)*(2 - 2 - 1) + 1 - 1 + 3*m to the form q + b*m and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799723505 to the power of 1\/2, to the nearest integer?\nAnswer: 42423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 - i - 4. Let u be q(3). Let c = u + 0. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.4 and 0.02.\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q*r**5 - 24*q*r + 3*r**6 - 4*r**4 + 2*r**2 wrt r.\nAnswer: 120*q*r**2 + 360*r**3 - 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-1)*(-28)\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 - 17. Let j = d + -186. Let b = -13 - -7. Sort -3, j, b in increasing order.\nAnswer: b, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -31*j - 10. What is the lowest common multiple of v(-1) and 54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 184, 367, 538, 691, 820, 919, 982?\n\"Answer: -a**3 + 190*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/(z\/(z\/((z\/((z\/(z*z**0))\/z))\/z)))))**(-40)*z\/(z\/(z**(-7)*z*z))*z\/(z*(z**(-8)*z)\/z))**(2\/3) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5717*j - 11435*j + 5716*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 47 + 3\/18*-114. Solve x*f + 28 = 24*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*h + 8839 - 4531 - 5098)*(2*h**3 - 4*h**3 + 0*h**3) in the form g*h**4 + x*h**2 + a*h + j*h**3 + p and give g.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*d + 16 = -0*d, -u - 6 = -2*d. Suppose -4*a + 4*g = -300, 2*a - 3*a + u*g = -63. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j. Let o(k) = -3*k**2 + 394. Calculate h(o(u)).\nAnswer: 9*u**2 - 1182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2377 divided by 1467.\nAnswer: -2377\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 greater than 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/2)\/((-15075)\/(-2010))*4\/(24\/5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -1 - (27 - 29) - 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**4\/72 - 5*f**3\/18 + 4*f**2\/3 - 2*f - 9. Factor l(x).\nAnswer: (x - 8)*(x - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and (62\/(-3))\/(15\/(-10)*40\/90).\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 3*w = -19*o + 8*o - 31, 0 = 5*o - 2*w + 33 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -1\/7 (c) -198\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 16*x + 22*x - 6*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 19. Let v(a) = -4*a**3. Let i(b) = b**3 - b**2 + b + 1. Let j(w) = r*v(w) + 2*i(w). Let j(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrtttt. Give prob of picking 1 r and 2 t.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1818726.\nAnswer: 2, 3, 7, 13, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 444585419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 7. Let m = -0.074 - -4.074. What is the closest to n in m, 0, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19965 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*g**3 - 10 - 2 - 10 - 7 wrt g.\nAnswer: 33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17675899.\nAnswer: 37, 477727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -2. Suppose -3*p = -k*p. Solve -g - 2*l + 15 = 0, g + p*g - 20 = -3*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose 0 = n*j - j. Let v = 4 + j. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/14 - 34*n**3\/21 + 80*n**2\/7 - 128*n\/7 - 7281. Determine t so that l(t) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3510 and 17\/63123060?\nAnswer: 568107540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -112, -120, -128, -136?\n\"Answer: -8*y - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171212536 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**5\/4 - 141*l**4\/4 + 639*l**3\/4 - 363*l**2\/4 - 321*l\/2 + 126 = 0.\nAnswer: -1, 1, 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, r: 12}. What is prob of picking 4 z?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8801\/10626 + -8\/483. What is the common denominator of 13\/10 and y?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -73*k + 120. What is the tens digit of u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -141*u + 686 - 46 + 347 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*x + 743*x - 132 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8378, -9936, -11492, -13046?\n\"Answer: w**2 - 1561*w - 6818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 10:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by (-74)\/259 - (-1180)\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gcgc when four letters picked without replacement from cocgcgoo?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77d + -2e4d?\nAnswer: -36cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 4. Let m(p) = p - 3. Let t(l) = -5*a(l) - 4*m(l). Let g(y) = y**2 - y + 4. Let w be g(0). Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20*((-426209)\/(-245) - (-39)\/(-91)).\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/(-15) - (-9 + 4*15\/4). What is the fourth biggest value in 0.1, 61, 0.5, i?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.2 (b) 0.03 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*m + 60*m - 3*m**3 - 14 + 65*m - 182*m.\nAnswer: -3*m**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10185 and 513959835.\nAnswer: 1455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28902 (b) 2\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**24\/i**(-16))\/((i*i**(1\/15)*i*i)\/i**9) assuming i is positive.\nAnswer: i**(689\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 4359\/9 + (-13)\/39. Suppose -479*d - 13791 = -t*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*u - 26 = 0, 6 = 4*m + u - 7. Solve 55*c - z - 12 = 51*c, 4*c + m*z + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85339180 divided by 21334795\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 10*f**2 + 5. Let s be a(10). What is the highest common divisor of s and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200103 (base 4) in base 10?\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17996 at least -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4495 and 269937.\nAnswer: 1213366815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16666.29 - 16331. What is g rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + 4*h - 3. Let b = -32 - -36. Let k(z) = -4*z**2 + 3*z - 3. Give b*k(f) - 3*r(f).\nAnswer: -f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15418558037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.5, -5, -3, 0.013 in ascending order.\nAnswer: -5, -3, 0.013, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {p: 5, z: 7, a: 2}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3338 + 6277. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l - 5 + 6 - 1 to r*l + c and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 593108?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 255\/(-1445) - (-14)\/(-17). Is k < 26\/257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 21 = 4*i. Suppose 5*j = -4*z + 37, i*j + 3*z - 10 - 14 = 0. Suppose d - j*s = 629, 4*s = 4 - 16. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -54. What is the remainder when r is divided by ((-2)\/1)\/2 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtwwwtwwwtwwxwwt. What is prob of sequence wwxt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 11. Let w be f(-9). Is (0 + (w - 3))*-19 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18493 - -176?\nAnswer: -18317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {j: 1, r: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmimmmmiimmmmmmmmm. What is prob of picking 3 i and 1 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 780383 is divided by 390129.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y = -880. Let a be 8\/(-28) + y\/14. Let l = 4 - a. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 + 994*u + 26363. What is the ten thousands digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/b**(-11\/3))\/b))\/b*b\/b**9)\/(b*b*((b*b**(-2))\/b)\/b*b)**(37\/3) assuming b is positive.\nAnswer: b**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/(-4)*2*(-4)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/4416 and 17\/330396.\nAnswer: 121585728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.42, -1523, -0.5, 22\/9?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 387 - 452 = 5*k - 2*d, -2*k - d = 17 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + 18. Let v = 45 - n. Solve -12 = 2*t + s, -t - v - 14 = 5*s for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010110100001111 - -11?\nAnswer: -10001010110100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 42*u**5\/5 + u**4\/2 - 7*u**3 + u**2\/2 - 48. Find the third derivative of t(y) wrt y.\nAnswer: 1008*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10312 (base 4) to base 6\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/8 of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 7*n + 6. Let t be z(6). Let q be (-86)\/2 - (t - -3). Let k be (-25)\/q*4 - 2. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3421, 6797, 10175, 13555, 16937, 20321, 23707?\n\"Answer: r**2 + 3373*r + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -774 - -826. Let k(t) = 12*t - 99 + w + 49. Let g(n) = n. Determine g(k(l)).\nAnswer: 12*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -4*c + 6*c - 88 + 33 + 21, -635*a + 3199 = 2*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11963270 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12852 (base 9) in base 8?\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-432))\/((-2)\/216)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 360400114?\nAnswer: 2, 43, 4190699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 10143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + (-4*(-3 + (sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008) + sqrt(1008)))))**2)*-4.\nAnswer: -258324 - 6144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 2*r.\nAnswer: -2*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -0.2. Let s = -1 - q. Let b(c) = -3*c - 4. Let h be b(-3). Put h, 1\/3, s in ascending order.\nAnswer: s, 1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 14*v + 5. Let w be c(14). Solve 8 = w*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0, -34 in increasing order.\nAnswer: -34, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45 + -13)\/((-4)\/2). Are t and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(208) + 1)*3 + -2*((1 + sqrt(208) - sqrt(208)) + sqrt(208)))*2)**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/637 and 55\/1633611?\nAnswer: 21236943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 2, 4 in descending order.\nAnswer: 4, 2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -64. Let g be 24\/6 + (u - 2). Let w(x) = 14 + g - 28*x**2 - 30. Give w(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 370104 by 12.\nAnswer: 30842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 34*c**3\/3 + 5*c**2\/2 + 2*c + 3. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-11 - 4\/(-2)). Let l = 5.032 - 0.032. What is the closest to -1 in x, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 306195 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-4050)\/(-20))\/(-27) + 9)*-14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226 + 228. Suppose -k = s, -4*s - 19 - 2 = -3*k. Let v(a) = 4 - 1 - 3*a**k - 2 + a**3 - 3*a**q. Give v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(-4 + sqrt(1900)))**2 - (sqrt(152) + (2*sqrt(152)*4 - sqrt(152)) + sqrt(152))\/((sqrt(64) + 1*sqrt(64))\/sqrt(8)).\nAnswer: -16009*sqrt(19)\/2 + 191600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 2*p + 17. Determine c(-9).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 11*f - 4. Let s(k) be the second derivative of -k**3 + 222*k. Calculate i(s(z)).\nAnswer: -66*z - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -5. Suppose -2*u = 4*y - 0 + 4, -u - 8 = 4*y. Differentiate 2*h**u + 2*h**4 + 1 - 3*h**s with respect to h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 6 - 1. Suppose -b = -2*w + 3. Suppose 5*d = -4*l - 374, w*l - 5*d + 392 = -d. Round l to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)\/y)**(2\/107)\/(y\/(y**(-6)*y)*y*y*(y*y*y**(-7))\/y)*((y\/(y*y\/(y**(-1)\/y)*y*y))**(-45))**(-48) assuming y is positive.\nAnswer: y**(-1155820\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310025772 to the power of 1\/2, to the nearest integer?\nAnswer: 48063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -5 (c) -3\/4 (d) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 12*z**2 + 15*z**2 + 22*z**2 - 61*z**2 + 15*z**2. Let w(q) = -2*q + 5. Determine w(k(d)).\nAnswer: -6*d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -22313\/6, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 133 = -115, -11 = -5*m - 3*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33315, -33355, -33395, -33435, -33475?\n\"Answer: -40*r - 33275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p + (0 - 4 + 2)*(-46 + 46 + 2*p) + 1 - 1 - 3*p)*(-3 + 3 - 2*p + 0 + 2*p + 0 + (-1 + 1 - 2*p)*(-5 + 1 + 2) + 4*p - 4*p + 2*p + p - 2*p - p).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -222, 1154 in descending order.\nAnswer: 1154, 2, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253906 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6505702703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -13, -28, -43, -58?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1764, -3570, -5376, -7182, -8988?\nAnswer: -10794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/8)*z**(5\/3))**(13\/4)\/(z**(-2\/5)\/(z*z**(1\/3)*z)*z**5*z**(5\/4)\/z) assuming z is positive.\nAnswer: z**(1049\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4945, -4815, -4595, -4285?\n\"Answer: 45*r**2 - 5*r - 4985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.15393 and -226168?\nAnswer: 226166.84607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -421 - -467. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82424 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minus 24.525?\nAnswer: 25.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -778 - -5815. Does 86 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -1.4, -7, -2\/43 in descending order.\nAnswer: 0, -2\/43, -1.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25449 and 132710547.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = 0, 5*t = -c + 2*c + 2. Let o(v) = 4 + v**c - 2*v**3 - 2 + 8*v**2. What are the prime factors of o(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197205131 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(14)\/(sqrt(12)\/sqrt(6)*-1) - (sqrt(4536) + -1*sqrt(4536))\/sqrt(8)) + 4)*4)**2.\nAnswer: -128*sqrt(7) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 33*r**2 + 16*r**2 - 6 to the form s*r + a*r**2 + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*l = 1351424 - 1355558 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57310.9 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2242560 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, o: 2, r: 9}. Give prob of sequence oddo.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6174732\/16*((-264)\/(-18))\/(-11). Suppose -4*q - 4*d = 6658256, 4471352 = -2*q - d + 1142227. Let w = q - t. What is w rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039794712?\nAnswer: 2, 3, 1021, 41351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/(-7))*((-696)\/(-336))\/29?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2780407?\nAnswer: 7, 179, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 61777 and 1137.\nAnswer: 185331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5975 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1028267*y**4 + 520355*y**2 wrt y?\nAnswer: -24678408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5963072 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t = 8*t + 24. Let r be ((-8)\/(-6))\/(4\/t). What is the units digit of ((-1)\/r)\/((-2)\/132)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255539 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3202054 millilitres in litres?\nAnswer: 0.0003202054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 309260 and 742224.\nAnswer: 3711120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + d - 3, -5*u + 4 = 2*d - 2. Suppose -z = -5 + 3. Suppose 0 = z*x - u - 2. Calculate the least common multiple of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8456408 or 8456409?\nAnswer: 8456408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8211570736 + 41*o + 12*o - 8211570736.\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 795636044 by -13841.\nAnswer: -57484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -45\/2. Sort -5, u, 0.\nAnswer: -5, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(((-17052)\/1120)\/(-87))*3\nAnswer: -80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3028 + -2536. What is the lowest common multiple of 154 and i?\nAnswer: 37884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -111*h - 691. Determine g(-7).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*n + 44. Let c = 53 - n. Calculate the highest common divisor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101110011 (base 2) in base 6?\nAnswer: -4031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/1484772 and 55\/1979696.\nAnswer: 5939088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 16?\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23311 or 23438?\nAnswer: 23311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 - 13*j + 13*j.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 11\/2746?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + 0*b)*(0 + 4 - 3) + (4 - 4 - 3)*(-64*b + 189*b + 4*b).\nAnswer: -390*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*v**2 - 53*v**2 - 94*v + 6*v**2 - 49*v**2 wrt v.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-6))\/v*v*v**(-7)*v**(-6)*v*v\/v**0)\/(((v\/v**(-1\/5))\/v)\/(v\/(v**(-6)*v)*v)*(v**(1\/2)*v*v)\/(v*(v\/(v*v*v**(-4\/7)))\/v)) assuming v is positive.\nAnswer: v**(-9\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126)\/(-78) + -6 + 1\/(-1). Is -6 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 12:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znpsnnnnsbbsznnps. Give prob of picking 1 b and 2 s.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.0552 - 31. Let k = h - 0.3552. What is the second biggest value in 0.52, k, 1?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 2\/11 (c) 1 (d) 237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 11*n**2 + 3 - 3*n**2)*(-5 - 2 + 0).\nAnswer: -56*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675702 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose 4*c + 3*h + 7 = 0, -2*h + u - 17 = -2*c. Suppose 0 = -4*b + 2*o - o + 60, -c*o = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pqdppduddd. Give prob of picking 2 d, 1 u, and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -193, -10, 5, -2, -5 in ascending order.\nAnswer: -193, -10, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 991 + -995. Sort -1, m, -68 in decreasing order.\nAnswer: -1, m, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1252, -449, 1 in decreasing order.\nAnswer: 1, -4, -449, -1252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1039399200 = 104*x + 12*x + 10*x. What is x rounded to the nearest 100000?\nAnswer: 8200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-345*d**2 + 0 + 401*d**2 + 1)*(3 + 0 - 1)*(0 + 3 + 2)*(4 + 0 - 5) - 3*d**2 - d**2 + 2*d**2 + 2*d**2 - 4*d**2 + d**2 + (-3*d + 7*d - 3*d)*(-1 - 2*d + 1).\nAnswer: -565*d**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 120.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a. Let q(g) = -173*g + 9. Let o(x) = -43*x + 2. Let y(t) = -9*o(t) + 2*q(t). What is y(j(c))?\nAnswer: -41*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 14 = -2. Suppose -6 - 2 = -4*h. Suppose -2*t + k*n + 76 = -h*n, -124 = -4*t - 4*n. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, 21, 4 in increasing order.\nAnswer: 1, 4, 21, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.74, -3, 5.4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkddkkdkdkdkkkdk. Give prob of picking 1 k and 2 d.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by (-1 - -17) + -9 + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 7, i: 1, t: 2}. What is prob of sequence oibb?\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/85 and -57\/20?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 12:08 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*3*-5)\/(2*sqrt(175)))**2.\nAnswer: 153\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -12*b + 4*b + 7 - 4*b. List the prime factors of a(-7).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -878297778305?\nAnswer: -878297778304.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (93449 + 161*b**3 - 93449)*(-b - 1 + 1).\nAnswer: -161*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 - 2*s**2 + 10*s + 1. Let y(h) = -16*h**3 - 5*h**2 + 29*h + 1. Let n(m) = 17*a(m) - 6*y(m). What is the thousands digit of n(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/120 - t**5\/20 + t**4\/4 + t**3\/6 + 538*t**2. Calculate y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 - 74\/(-14). Let s(q) = q**3 - 5*q**2 + q - 6. Let u be s(b). What is the remainder when 15 is divided by u - -2 - (1 + -8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5 + 3*u - 8*u - 4. Let w be b(-6). Let z be 1*32\/2 - 2. Calculate the greatest common factor of z and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -3 - (-14 + 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264331 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1624*w - 66. Let p(f) = 15*f + 1. Let c(l) = n(l) + p(l). Find the first derivative of c(a) wrt a.\nAnswer: -1609","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + 364?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 3, m: 1, a: 1, f: 2, p: 3}. What is prob of picking 1 f and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3136 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 378 + -378. Let q(d) be the second derivative of -4*d**2 - 6*d + 2\/5*d**6 + 0 + 0*d**5 + 0*d**4 + b*d**3. Differentiate q(w) with respect to w.\nAnswer: 48*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30340 - 30337. Let c(h) be the third derivative of -2\/5*h**5 - 22*h**2 + 0*h + 0 - 1\/8*h**4 + 0*h**b. What is the second derivative of c(j) wrt j?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 90325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1256730 divided by 163.\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4 = -2. Suppose -5*s - 4*d + 13 = -23, d - 8 = -s. What is q in -3*q - 3 - s - 2 + 5*q**2 - q**f = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -5 (c) 3\/4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 1 = -2*a + t, -2*a + 5*t = -42. Suppose 1308 = a*k - 132. What is the remainder when k is divided by 21 - (0 + -1 + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 59 + 9 - 55 = 0. Which is the second smallest value? (a) 4 (b) 47 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 138. What is the highest common factor of 12 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.01 - -0.39. Let h = x + 12.6. Let i = h - 1. Is i less than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 64 = 10*s. Sort 1\/35, -0.8, s, 1\/2 in increasing order.\nAnswer: s, -0.8, 1\/35, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 38. What is the third derivative of 12*b**2 + b**6 + 2*b**6 + 0*b**6 - 19*b**n wrt b?\nAnswer: -1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from kqqqn.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3379, -4, 0.3, 5, 0.2.\nAnswer: -4, -2\/5, 0.2, 0.3, 5, 3379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*p**2 + 2253*h*p*w - 620*h*p - 7*p**2 + 25322*p*w - w wrt h.\nAnswer: 2*p**2 + 2253*p*w - 620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5 (c) 6\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-28 + 9)) + (-1 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3465.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h**4 - 31*h + 3*h**3 + 7*h**4 - 5*h**3 + 29*h + 19 - h**2 to j + a*h**4 + i*h**3 + m*h**2 + w*h and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 222554 a multiple of 446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1046*i**2 - 1046*i**2 - 278*i**5 + 2*i**3 + 3*i - 3*i + i**5 + (-2*i**2 + 2*i**2 - i**3)*(2*i**2 - 4*i**2 + 4*i**2) + i**5 + 0*i**5 + i**5.\nAnswer: -277*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -392245\/9 + 44487. Let t = z + -904. Determine i so that -t - 22\/3*i**2 - 80\/9*i**3 - 32\/9*i**4 - 20\/9*i = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12439 - -12438. Put d, 2354, -2, 4 in decreasing order.\nAnswer: 2354, 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21206000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3751*s. Let o(p) = p - 5454. Calculate b(o(d)).\nAnswer: -3751*d + 20457954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-160)\/(-15) + ((-70)\/6)\/7. Calculate the greatest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -318*h - 435. Calculate i(0).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 + 33*b - 6. What is the remainder when 16 is divided by x(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**3 + 107*n**2 + 165*n + 18. Let c be s(55). Calculate the highest common factor of c and 711.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 5047*b**2 - 5047*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 152399401 to the power of 1\/2, to the nearest integer?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -2*u**3 - u + 314. Let f(b) = -24*b. Calculate f(a(y)).\nAnswer: 288*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 32 - 40 - 298*f in the form z + r*f and give r.\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -67 + 67. Let v be (g\/3)\/(-2 - -1). Suppose v = 16*a - 20*a + 1112. List the prime factors of a.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) - (sqrt(1250)*-2 - sqrt(1250)) - sqrt(250)\/sqrt(125))\/(sqrt(120)\/(sqrt(84)\/(-2*sqrt(7)))).\nAnswer: -79*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = u - 7, 0 = -22*u + 20*u - 4*l + 10. Let d = 0.17 - 5.67. Put d, 5, u in descending order.\nAnswer: 5, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*v + 463, 2*v - 3*p + 0*p = 215. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by (-199)\/(-6) + 3 - (-1)\/(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6136 divided by 1534\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -9*d - 66 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56408823 divided by -18802941\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 5) to base 13.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1131814, -1131805, -1131782, -1131739, -1131670, -1131569?\nAnswer: -1131430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6.36714 nanoseconds?\nAnswer: 0.00000636714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - 33 = -u, 4*s = 4*u + 12. Suppose -s*z - 5*z = -616. What is the highest common divisor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 954.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 960319*u - 245*u**3 + 2 - 960319*u to j*u**2 + i + f*u + g*u**3 and give g.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1531*r - 1529*r = 0, -5*w + 31*r = -5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 + 2*r**3 - r**3)*(4 - 4 + 2*r) + 8*r**4 - 54*r**3 + 54*r**3.\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77 - 39. Suppose -11*s + 217 = 74. What is the remainder when j is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*16\/72*-3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2 + (3 - 2 + 0)*(2 + 3 - 2))*(-2*j + j + 4*j) to the form z*j + a and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.613, 3, 0, 34, 1, 4, -0.1.\nAnswer: -0.613, -0.1, 0, 1, 3, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*t + 6, 3*t - 33 = -5*g + 6. Let b = 2 + 1. Suppose -c - g = -b*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -19 + 3 + 5 + 0?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -0.2 (c) -2\/3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2138809159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353511205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -103\/2. Which is the closest to -1\/9? (a) -0.1 (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 - 89. Suppose -1723*c + 1717*c = 3*g - 972, -5*g - 184 = -c. Calculate the remainder when c is divided by s.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7233.\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 920?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154954 - 290*f**2 - 542*f**2 - 154954 to the form j + g*f**2 + o*f and give g.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let h = 50 + -50. Let v be n(h). Solve v = f + 2 - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5 - 29 = -5*s, 15 = 3*s. Solve 2*m + c*m + 3*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykzwwvwzkz. Give prob of sequence zkzz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.7033858 minutes?\nAnswer: 0.00187735125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -12*s**2 + 5*s - 5. Let q(v) = -11*v**2 + 6*v - 6. Let t(l) = -6*k(l) + 5*q(l). Let x(z) = 6*z. Calculate t(x(r)).\nAnswer: 612*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/10*(20\/8 - 0). Let a be ((-6)\/4 - -1) + (-41)\/f. Solve -a = -0*n - 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2 - 69340*w + 11506240 = 0.\nAnswer: -14032, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -3, 74 in descending order.\nAnswer: 74, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:03 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 + 4*r**2 - 2*r - 1. Let j = 9 - 7. Let n be q(j). Is 15*1 - (-5)\/n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20123 (base 8) to base 14.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0\/1)\/(-2). Suppose -3*m + 1 + 11 = s. Calculate the remainder when (-7 - -10)\/(6\/m) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = -5*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gbf when three letters picked without replacement from {g: 1, q: 1, b: 1, f: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -35838 to the nearest one thousand.\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -15. Suppose 3*g - 5*q - 15 - 4 = 0, m*q = -2*g + 38. Calculate the remainder when 50 is divided by g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, s: 6, m: 3, l: 7}. What is prob of sequence sslm?\nAnswer: 35\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*b - 14*b + 33*b - 12*b + (22 - 1 - 2)*(-4*b + 2*b + 4*b) - 4*b + 6*b - 3*b as m + k*b and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.94777?\nAnswer: -3.79108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, t: 1, h: 5}. What is prob of picking 1 r, 1 t, and 1 h?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-21))\/((-60)\/(-190))*(-3)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 190*v - 194*v = 76350, -p - 3*v + 25424 = 0. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 7*g**2 + 2*g + 22. Calculate k(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaeacaueeufuufuuur. What is prob of sequence ru?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 15*z**3 - 13250*z**2.\nAnswer: 5*z**2*(z - 53)*(z + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**0*y)\/(y*y\/y**(-2\/7)))\/(y**(-2)*y*y\/y**(-1\/11)*y))\/(y\/y**(-3)*y*y**(3\/2))**48 assuming y is positive.\nAnswer: y**(-24130\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-7)))*z**1)\/((z\/(z*z**(-1)))\/z)**47 assuming z is positive.\nAnswer: z**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/20 and -43\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a09778 + -4?\nAnswer: -3a09781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163300.\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-16) - -5*(-45)\/(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -162 - -225. Let y = b - 58. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1194, -1657, -2120?\nAnswer: -2583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 39.54. Round t to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69045.525 to the nearest 100.\nAnswer: 69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7497200374 to the nearest integer?\nAnswer: 1957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + (-8)\/(-4) - 3. Let k be (-1 + 12\/l)*0. Solve 0*j - 4*j + 12 = k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 330 + 189. Put o, 1, -4 in descending order.\nAnswer: o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83002 (base 16) in base 3?\nAnswer: -1000021001021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 2. Let g be j(-6). Let p(z) = 45*z**2 + 35*z. Let t(h) = -5*h**2 - 4*h. What is g*p(v) - 35*t(v)?\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65758 - 65756. Let g = -0.8 + -0.2. What is the biggest value in 0, g, 0.03, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225542 (base 7) in base 9?\nAnswer: -61375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24098 + 13?\nAnswer: 24100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaa. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 10:09 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*h**2 + 16*h**2 - 15*h**2 + 16*h**2 as t + q*h + u*h**2 and give u.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + (sqrt(78) - 2*sqrt(78)*-2) - sqrt(78))\/(-2*2*sqrt(6) - sqrt(6)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a + 32*a - 20 = 0. Suppose 0*b - 4*b = -a*c, -4*c = 4*b. Solve 4*d + d + 5 = b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*v**2 - 43*v + 2?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1623\/13 - (-10)\/65. What is the derivative of v - 98 - 16*t - 27*t wrt t?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 14, -0.66, 1\/9, 1\/8, -0.1, -694?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*y + 40 = 0. Find the second derivative of -10 + y - 5*t**2 - t wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*g - 5*n, 2*n - 4*n - 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(18\/(-30)) + 3)\/(16\/(-192))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2772*c*r**4 - 37*c*r - 4608687*c - 6*r + 3 wrt r.\nAnswer: -11088*c*r**3 - 37*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2. Let c(z) be the third derivative of -7*z**6\/60 + z**4\/12 - 25*z**3\/6 + 45*z**2. Let u(h) be the second derivative of c(h). Give u(j(q)).\nAnswer: 168*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 9 = f. Suppose -3*m - 4*x = -98 - 24, 82 = 3*m - 4*x. What is the remainder when m is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -294563\/51 + 5775. Let u = r - -2779\/102. Let c = 1\/2404 + 31851\/4808. What is the common denominator of c and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 3}. What is prob of sequence kgkg?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8730 and 43456.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 930523829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - u - 2*u - 13, 0 = -4*i - 5*u + 21. Suppose i*m = 5 + 3. Let r be -1 + -2 + -15 + 20. Solve r*c = -m*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9386 or 9387?\nAnswer: 9386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w + 12. Let x(j) = -j + 1. Let z(g) = a(g) - 4*x(g). Let u(f) = 3*f - 23. Let r(c) = -3*u(c) - 8*z(c). Calculate r(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-69)\/(-54) + 24\/(-16). Which is the closest to 4? (a) s (b) -3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {n: 3, f: 1, k: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - b**2 - 10 + 5 - 15*b + 2*b**3 + 3 to w*b + v + y*b**2 + s*b**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 965108.\nAnswer: 965108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 + 1148*f**2 - 225656*f = 0. Calculate f.\nAnswer: -421, 0, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10679 + 16759. Is k a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + -3*(3 + -4). Differentiate 1 + 2 - u + 3 + 3*y wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 525*z**2 - 810390*z + 10435360.\nAnswer: 5*(z - 346)*(z - 13)*(z + 464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*c + 78 = -4*o, 3*o - 99 = -5*c. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 347327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000168 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13.4006 + -1.4110037\nAnswer: 11.9895963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)*-5 - -2*(sqrt(99) + (sqrt(99) - (sqrt(99) - (sqrt(99) + (sqrt(99) - 2*sqrt(99)) + sqrt(99))))))\/((sqrt(27)*-2)\/sqrt(3)*-2)*2*-3.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3620212 rounded to two decimal places?\nAnswer: -4.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*i + 7, 62*i - 14 = 63*i + q. Let y(z) = 7*z + 29. What is y(i)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68864.211 - -68907. Round r to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -755, -1426, -2097, -2762, -3415, -4050, -4661?\n\"Answer: a**3 - 6*a**2 - 660*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - s**2 + 85*s + 168. Let l be d(21). Calculate the highest common factor of 266 and l.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*-2 + 41. Let y = n - 30. Suppose 2637 = 3*v + 2535. What is the remainder when v is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1266)\/(-24) + 3\/(-4)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/3)\/x*x)\/x)**(4\/7)\/(x**(-2\/5))**(-1))**31 assuming x is positive.\nAnswer: x**(-3782\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (36\/8 + -2)*2. Factor 2*w - n*w**2 - 5*w + w + 4*w**2 - 1.\nAnswer: -(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0)*(3*a + 2*a - 4*a) + 0 - a + 0 + 415*a - 211587 + 211587 to the form k*a + q and give k.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*h**2 - 558*h**6 - 139 - 1141*h**6 + 148 wrt h?\nAnswer: -203880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, 240971, 5, -1 in descending order.\nAnswer: 240971, 5, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2038 - -4409. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) -3 (c) 2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1248, 1240, 1220, 1182, 1120, 1028, 900, 730?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u = -2*i - 0*i + 36, -3*i - 1 = -4*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**3\/3 + n. Let d be 31\/124 - 2\/8. Let l(z) = -11*z + d*z + z. What is l(y(b))?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-8)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 726200 to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20733 + 696821.\nAnswer: 676088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8811.95489 to the nearest ten.\nAnswer: 8810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 - 2*j**2*k + 114*j**2 + 110*j*k - 7*j wrt j?\nAnswer: -36*j**2 - 4*k + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15 - 21 + 5*g - 3 + g**2 + 5. Suppose f + 20 = -4*f. Give j(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 196 + -1145?\nAnswer: -c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -10*m + 5*m. Suppose 9 = d + m. Let f be 2\/d*(-21)\/(-14). Solve f*x + 4*t = -10 - 9, -x - 4*t - 17 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 1049*z - 1053*z. Let h = -4 + 0. Sort h, z, 3 in increasing order.\nAnswer: h, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22610a6 (base 12) to base 3.\nAnswer: -110102002212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4823 - -4810 - (-76 - 1).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17317 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + g + 2*g**2 + (0*g - 3*g + g)*(-4*g + 4*g + 2*g) + (0 + g + 0)*(-5 + 4 - 12)*(0*g + 5*g - 4*g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - -1.42. Let s = -1.1 + g. What is the third biggest value in s, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**7\/35 + m**5\/20 - 49*m**3\/6 + m**2 + 88. What is the derivative of v(y) wrt y?\nAnswer: 24*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*l, -174*j + 178*j + 99 = 5*l. Solve l = -6*o + 9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three sevenths of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + -19 + (23 - -1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((m**(-24)\/m)\/m)\/m)\/m)\/(((m\/m**(-3\/10))\/m)\/m))\/((m*m**(-22)*m*m*m)\/m**(-8\/11)))**14 assuming m is positive.\nAnswer: m**(-7721\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**5 + 0*n**5 - 6*n**5 + (-3*n**4 - 4*n**4 + 5*n**4)*(-2*n + 2*n - 2*n).\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 11:59 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 divided by 42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85049160 to the nearest integer?\nAnswer: 9222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*y = -7*k - 52, -4*y = 2*k + 30. Let v = k - -22. Calculate the greatest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -110001011101110?\nAnswer: -110001011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 129*d**3 - 5*d**2 - 30*d + 146. Give r(3).\nAnswer: 3494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 1. Suppose 2*p - 6 = 3*a, -a + y = 3*a. Solve -p = 4*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2433104 - -1?\nAnswer: 2433105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a hour in minutes?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 + 54. Suppose z = 5*b + 1. Determine s, given that -b*s**5 + 2*s**3 + 4*s**5 - 4*s**4 + s**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 61 = -391. Let r be (-162)\/p + 2\/(-5). Sort r, 18, -2, 2 in descending order.\nAnswer: 18, r, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**38\/((o\/o**29*o)\/o)*(o\/o**(11\/3)*o*o)\/(o**(-33)*o) assuming o is positive.\nAnswer: o**(292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 8. Let f be c(4). Solve -s + 2 = 4*v - f*s, -4*v - 2*s = -4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 535153\/131595 - (-1)\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g + 2*g + 2*g + 0*g. Let c(s) be the second derivative of s**5\/120 + s**3\/3 - 2*s. Let k(v) be the second derivative of c(v). Determine w(k(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14921607 or -14921608?\nAnswer: -14921608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -120438*v**2 + 41*v*w**2 + 2819*w**2 + 4840 wrt v?\nAnswer: -240876*v + 41*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2. Let t(m) = 26*m - 4. Let l(r) = 598*r - 91. Let j(q) = 4*l(q) - 91*t(q). What is w(j(u))?\nAnswer: 1352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 69983.13 nanograms?\nAnswer: 0.00000006998313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-2)\/(-4)*-4. Let t be (2\/(-4)*0)\/l. Solve t = o - 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m. Let h(y) = -y**3 + 1. Let r(l) = -l**3 - 6*l**2 + 41*l + 26. Let z(v) = -4*h(v) - r(v). Let j(p) = -6*x(p) - z(p). Factor j(q).\nAnswer: -5*(q - 3)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 247, 492, 737, 982, 1227?\n\"Answer: 245*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56138.\nAnswer: 2, 28069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 24*t - 28. Suppose -5*q + a - 31 = -90, -26 = -t*q + a. Suppose 3*g = 511 - 148. Calculate the greatest common factor of q and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*f*u**3 + 2*f + u**3 + 459275*u + 67060493 with respect to u.\nAnswer: 9*f*u**2 + 3*u**2 + 459275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 41*n - 36. Determine l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let v = 1 + p. Let x = -0.003 - v. What is x rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 12*i - 6. Let o = -494 - -483. What is a(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/((133\/84)\/19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1276 and 16008.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 361 + g - 361 - 34399*g**3 + 34401*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.71814 + -76.83614. Let k = -76 - n. What is k rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.5 - -0.506. Let h = 0.086 + a. What is h rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.7182 litres in millilitres?\nAnswer: 372718.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13 - 5?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 3*i - 54 = 0. Suppose -19 = i*s - 5*s. Is s >= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 119 = -1. Which is greater: k or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 5:53 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15848354 to the nearest integer?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - h - 8 = 3*v, 3*h + 2*v = 1. Let m be 0 + 82\/2 + h. Suppose -5*f = -3*x - m, x = -3*f - 4*x - 2. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34757.7494 rounded to the nearest ten?\nAnswer: 34760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 0.5, -0.04, -3, 2, -26245, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2\/2 - 56660*v - 61582725\/2.\nAnswer: 5*(v - 23195)*(v + 531)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5243 - -15474. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010100100101 (base 2) to base 9\nAnswer: -7374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 95.88 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of 9*j**2 - 1\/54*j**6 - 1\/1512*j**8 + 0 - 1\/27*j**5 - 1\/189*j**7 + 0*j - 5\/108*j**4 - 1\/27*j**3. Factor a(i).\nAnswer: -2*(i + 1)**5\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 - 6*c**2 + 5*c. Let i be x(6). Let t be ((-2)\/16)\/(37\/(-644984)). Let s = t - i. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 5*n - 7 = 30, i + 18 = 3*n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g**2 - 156*g + 152 = 0. Calculate g.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 46821, -4, 2, -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*k + 3362 = -11038. What is the remainder when 3998 is divided by k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 11212221211200101?\nAnswer: 11212221211200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/11 or 37\/15695?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1709640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2. Let a(i) = -11052*i. Give p(a(n)).\nAnswer: -488586816*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c1 (base 14) to base 16.\nAnswer: 3b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -544, -585, -646, -733, -852, -1009?\n\"Answer: -j**3 - 4*j**2 - 22*j - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (28 - (16 + -7 + 1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*s - 9 - 252, 201 = -4*s + 5*i. Let c = s - -16. Let f = -3 - c. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 1. Let h(c) = 9*c + 2. Let p(i) = 7*f(i) + 3*h(i). Let w(k) = -k**2 - k**2 + k - 4 - 5*k. Suppose 3 = -6*m + 27. Determine m*p(a) - w(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -29, -55, -63, -47, -1?\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (7\/(-14) - (-9 + 14))\/((-2)\/1124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1419 times -52234\nAnswer: -74120046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2 + 600*j - 90000 = 0.\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**3 - 6084*i**2 + 154416*i - 284464.\nAnswer: -4*(i - 23)*(i - 2)*(i + 1546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 - 289. Suppose -2 = -j + 1. Let x(k) = 11*k - 3. Let a be x(j). What is the highest common divisor of a and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 11\/24*u**4 - 19\/6*u**3 + 7\/30*u**5 + 2*u + 0 + 9*u**2 + 1\/120*u**6. Determine n(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*24\/30. Suppose 21 = 2*l + i, 0 = 2*l + 3*i - n - 29. What is the lowest common multiple of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 6:30 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + (-5 - -4 - -6) - -4911 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, u: 14}. Give prob of picking 3 u.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-6)\/15))\/((-106)\/(483360\/600))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 379531049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -i, 2*i + r - 12 = -2*r. Suppose -h = -3 - i. Let l(z) = -3*z - 5. Let a(p) = -2*p - 2. Let f(v) = h*l(v) - 5*a(v). What is f(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**3 + 115920*l**2 - 695606*l - 811524 = 0?\nAnswer: -57966, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365612 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3)*(-20 + -1). Let q = d + 38. Suppose -2*s = -2*x - q, -2*s + 2*x + 12 = 3*x. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39.844 - 94.891. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -13. Suppose 4*n = -38 + 122. Suppose k - n = -s*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f**2 - 40*f**2 + 45 + 736*f - 45 - 736*f.\nAnswer: -17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 4 + 14 + 17. Let d = -24519 + 24510. Let a be b(d). Solve a = 4*t - 2*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7\/2)*r*r*r**(-6)*r**(-5\/2)\/(r**(-2\/11)*r) assuming r is positive.\nAnswer: r**(-119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 108 = -19*n - 144 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5842920 divided by 584292.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -195*p**2 + 398*p**2 - 219*p**2 - 7*p**3 as s + a*p**2 + v*p**3 + g*p and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -315, 1813, 4, 0 in ascending order.\nAnswer: -315, 0, 4, 5, 1813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0495 + 0.079625. Let f = -0.03 + b. Round f to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 - -20.5. Let v = -1\/205 - -427\/3485. Let u = -41 - -41.1. What is the smallest value in u, g, v, -1\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -517\/4 - -129. Let r be (3 - 0) + (1 - 4). Suppose r*f = 3*f + 3. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 48*v. Let z(y) = -y**3 + y**2 - 4*y + 59100. Let b be z(v). Round b to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Let n be d(-2). Suppose 5*v - 28 = v + n*w, 24 = 2*v + 4*w. Suppose 3*t - 7 = v. Solve -4*j - 2*l - 10 = 0, t*j + 7 + 3 = -3*l for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.48492 to one dp.\nAnswer: 299.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150) + -5*1*sqrt(150))\/(sqrt(24)\/sqrt(32)).\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 106*m + 882. Let a be z(9). Calculate the highest common factor of a and 765.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + n + 3. Let v = 5 - 0. Let y = v - 5. List the prime factors of x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 12*v**2 - 7*v + 43. Let o be p(-11). Is o less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let v = 508 - 507. Let y be ((-17)\/204)\/(v\/f). What is the nearest to -1\/2 in 3, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 + 145. Let g = u - -14. Suppose g + 52 = 3*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 849819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10783, 10860, 10937, 11014, 11091, 11168?\nAnswer: 11245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -3*z, -5*u - 1 + 10 = z. Let r be -1 + u*108\/8. Solve 0 = 7*q + r - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1428\/11 - -130. What is the closest to 1 in 1, t, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = -2*c, 0*k + 3*k + c + 36 = 27 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899267877?\nAnswer: 3, 99918653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4275 - 4448. What is the second smallest value in 2\/15, l, 2\/13?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1199, 2387, 3541, 4643, 5675, 6619, 7457, 8171?\n\"Answer: -3*w**3 + w**2 + 1206*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 102819714.\nAnswer: -2\/51409857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -163087*o**3 - 2*o**2 + 129*o - 264?\nAnswer: -978522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 318 divided by -6\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, -3, 64, 94.\nAnswer: -3, -0.3, 4, 64, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1232 and 45056?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49577192641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 19404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 66 = -6 + 22. Solve 0 - m**u + 1\/2*m**5 + m**4 + 0*m - 1\/2*m**3 = 0 for m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68238063?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 134*s**2 - 10. Let n be k(4). Suppose z - 3*q - 2*q = -1082, -2*z - n = 5*q. Is 6 a factor of ((-9)\/12 + 1)*z\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -141*k**2 + 15. Let a(m) = -4*m + 45. Let l be a(13). Let g(y) = 283*y**2 - 29. Let w(q) = l*j(q) - 4*g(q). Find the first derivative of w(d) wrt d.\nAnswer: -290*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 29. Let h be ((-42)\/u)\/(12\/(-54)). Let z(n) = -13 - 2*n**2 - 6 + h. Determine z(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o - o - 2*o)*(-4 + 1 + 13) to k*o + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 354*n**3 - 17*n**2 + 9*n + 18. Let y be m(13). Round y to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -12 - -8 - 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4) + 4 - (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*y - 9. Suppose 0 = -y*v + 4*v + 290. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10883*p - 297080 = -3456*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 - 11*t - 5. Let h(a) = 3*a**2 - 5*a - 2. Let k(g) = -5*h(g) + 2*p(g). Let j be k(3). Suppose 3*v + j = 9. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 44 = -16. Let q = 63\/2 + r. Let a be 1 + -4*(-1)\/1. What is the second biggest value in 0.4, q, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 12:38 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 32. Suppose b - 129 = -g. Suppose -70 = -3*a - 2*s + 11, 4*s - b = -4*a. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*p + l + 4*l, -8 = -5*p + 4*l. Suppose 5*t = t + p. Let z be (-132)\/(-15) + (-3)\/(-15). Calculate the highest common factor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 times 8623.31\nAnswer: -422542.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*m + 3*p, -2*m + 5*p - 11 = 9. Solve m*x = 2*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720512264 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1209? (a) 96.4 (b) 4 (c) -2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/21861288 and -37\/15192?\nAnswer: 21861288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 24. Let i(r) = 2*r - 8. Suppose -10 - 26 = 12*p. Let d(a) = p*g(a) - 8*i(a). Let f(q) = -2*q + 3. Calculate -4*d(z) - 11*f(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47488 divided by 448?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 10023?\nAnswer: 4\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 + 2.08934?\nAnswer: 2.16134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/243 and 113\/7128?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 2361750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -227*d**5\/5 + 301*d**2 + d + 71. What is the first derivative of g(l) wrt l?\nAnswer: -2724*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 3*c + 2*c)*(2 + 2*c**3 + 14*c**3 + 19*c**3).\nAnswer: 35*c**4 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 5. Suppose 3*f - 6*f + 18 = 0. Let k be d(f). Solve 0 = -4*w - k + 13 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**2 + 10218 - 2*x**3 + 2*x**2 - 10216 to g*x**3 + z*x + t*x**2 + q and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 525 = -6*b. Find the common denominator of -2\/7 and 2 + 9\/5*b\/12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*a + 1248*a**3 + 2279*a**3 + 1759*a.\nAnswer: 3527*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeleeeeeeeegu. Give prob of picking 1 e and 1 g.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 15*m = 115. Calculate the least common multiple of m and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -4*y + 23, 2*j - 299 = 4*y - 297 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176594298823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + d + 2 = 0, 4*n + 2*d + 16 = -2*d. Let v be n + 10\/(-6) + 0. Let z = -311.6 - -312. Which is the second biggest value? (a) z (b) -0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94064 is divided by 202.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 2*o**2 - 8*o**2 + (-o + 2*o - 3*o)*(6*o - 2*o + 3*o) - o**2 - 2*o**2 + 4*o**2 + o**2 + o + o + 0*o.\nAnswer: -20*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/1 + (-4 - -7). Let q be ((-2)\/(-1))\/(i\/(-15)). Suppose -q*x - 5*w + 8 = -17, -5*w - 25 = 0. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - -59. Suppose j = p - b, 4*p - 2*p = -5*b + 150. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 463\/150 + -121\/50. Factor -8\/9*w + 2\/9*w**2 + l.\nAnswer: 2*(w - 3)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 18. What is the second biggest value in r, 31, 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9745? (a) -1 (b) -1\/32 (c) 0.4 (d) -0.2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000386 rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 126517 + 2?\nAnswer: 126519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w**5 - 21*w**2 + 474 - 555 + 8*w - 7*w wrt w.\nAnswer: 20*w**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7674 by -63.\nAnswer: -2558\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -724*u + 623*u - 3312 = 2612 - 1076 for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 3114128?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/(-14) - (-7 - 5)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 10*c - 2. Let n = -4 + 7. Suppose -5*i = n*g - 56, -24 = -3*g - 2*i + 20. Calculate the remainder when h(4) is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 - 3*z - 3. Let y be ((-1)\/2)\/((-2)\/(-12)). Determine g(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 162, 324, 486, 648, 810, 972?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30551?\nAnswer: 137, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457 is divided by 114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28549 + 28562. Suppose -5*s - 4*a = -492, 3*a + 306 = 3*s - 0*s. Calculate the remainder when s is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287679 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -31.\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9123351 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*sqrt(33)\/(sqrt(44)\/sqrt(64)).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 6. Suppose -2*h + 1 + 81 = 0. Suppose -v + 5*v - h = 5*k, -1 = v + k. Suppose -v*m - 24 = -0*x + 4*x, 0 = 2*m - 2*x + 8. Calculate w(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1696 (base 10) to base 12\nAnswer: b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -58ecc + 4?\nAnswer: -58ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + -4 + (3 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 824.78 + -825. What is the smallest value in 2\/9, 0.03, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/46216 and 31\/103986.\nAnswer: 415944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvjlv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 + 216*h**4 - 15507*h**3 + 286254*h**2 - 1207224*h = 0. Calculate h.\nAnswer: -276, 0, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72809, -72819, -72841, -72881, -72945, -73039?\nAnswer: -73169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, n: 2, k: 7, q: 1, t: 1}. Give prob of sequence tc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(73040\/6972)*3\/(18\/(-4)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 + g**2 - g - 1. Let z(p) = -444*p**3 - p**2 - 4*p + 1. Give -m(h) - z(h).\nAnswer: 446*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 37191731723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323\/9 + -36. Let r = -0.42 - -0.12. Let d = -1.7 + r. What is the third biggest value in -0.1, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2 - 3*x + 4. Let v be z(-5). Let b = 83 + v. Suppose 0*i + i - b = 0. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 25*r**3 - r**2 + r. What is the remainder when l(1) is divided by (-9)\/18*-26*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {t: 3, k: 11}.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 1824?\nAnswer: 12768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -277 - -278. Let g = -11 + 6. Which is the closest to 2\/3? (a) g (b) x (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 403650844 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 107*o**3\/6 + 138*o. Let g(y) = 8*y. Calculate z(g(k)).\nAnswer: 856*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*n - 168 = 512*n + 23885 + 11374 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 4*f - 13. Let a be g(7). Solve -3*u + a = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of -h**4\/4 - 7*h**3\/3 + 4*h**2 - 6*h + 64. Calculate z(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5278 and 139113.\nAnswer: 1947582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115475, -230874, -346047, -460880, -575259?\nAnswer: -689070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4443 (base 8) to base 6.\nAnswer: -14455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 730939?\nAnswer: 11, 66449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/7 (b) -29 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.4504*-5\nAnswer: -2.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 z when two letters picked without replacement from {w: 4, q: 1, z: 4, v: 4, m: 1, g: 4}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 8. Let z(a) = -14*a + 17. Let q be z(-4). Let s = -63 + q. What is the remainder when p(-10) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9068, 36431, 82034, 145877, 227960?\nAnswer: 328283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2144\/25185 + 2\/1095. Suppose -6 = -7*x + 4*x. Suppose -x*z = 1 + 1. Is t > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3404)\/(-518) + 12\/(-21). Let x(m) = m**2 + 6*m - 16. Let s be x(-8). Solve 3*t + 10 = 4*r - b, s = -t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 3*s - 3. Suppose 2*t + 4 = 4*t. Determine o(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*g + 87*g - 18135. Let l = g - 243. Let a(f) = -f**3 - 8*f**2 - 9*f + 10. Let i be a(-7). What is the highest common divisor of l and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.335716 decades in centuries?\nAnswer: 0.7335716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4\/4 - u**3 - 5*u**2\/2 + 6*u - 10. Calculate the remainder when 5 is divided by i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Let w(l) = -l - 3. Let x(b) = -b**3 + 2*b**2 + b - 2. Let q be x(3). Let i be w(q). Solve -17 = f - 4*f + k, i*f - p*k = 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/1701)\/(16\/112).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x = 340 - 595 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 1, 5, 79105, -4, 3 in increasing order.\nAnswer: -6, -5, -4, 1, 3, 5, 79105","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59788 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 22 - 21 + 11*i - 6*i + i - i**2. Let r(v) = v**3 + 8*v**2 - 9*v + 6. Let q be r(-9). Let g(u) = -7*u - 1. Determine q*g(w) + 7*f(w).\nAnswer: -7*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -5.8659.\nAnswer: -5.7659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6cb0 - 5?\nAnswer: -6cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/11)\/(59\/(-11)). Is s not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/128896560 and 109\/38668968.\nAnswer: 386689680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 n, and 1 v when three letters picked without replacement from vvgnt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -7. Let y = -224289 - -224289.2. What is the closest to -1 in k, -21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2404184352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11659338 by -6.\nAnswer: 1943223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) + 6\/(-4). Let w be 3\/f*(-40)\/(-15). Let a(q) be the first derivative of -q**2 - 4*q - 14. Let z(v) = -2*v - 3. Determine w*z(l) + 3*a(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - (1 - (-108)\/(-14)). Solve -5*y + v*y = 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**13\/r**10)\/((r*r**(-2))\/r**(-6)))**(3\/11) assuming r is positive.\nAnswer: r**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82001701 to the power of 1\/2, to the nearest integer?\nAnswer: 9055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 8, z + 3*u + 2*u = 176. What is the greatest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7189538 - 7188492.4746. Let s = g + -1046. Let i = s + 0.48. Round i to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 169*q. Let b(t) = -2*t**2 - 2 - 2*t**2 - 2*t**2 + t**2 + 4*t**2 - 2*t. Let f(p) = -6*p**2 - 10*p - 10. Let h(o) = -5*b(o) + f(o). What is a(h(r))?\nAnswer: -169*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -2) + 31\/16. Let f = -4466 - -4462. Which is the closest to w? (a) f (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 23 + -4 + -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.3 (b) 5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 945 + -15037\/16. Let t = -131371\/12 + 10935. What is the common denominator of j and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/6*24\/270.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 700 (base 13) to base 8.\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -26185 and -103 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:33 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 736, 2943, 6618, 11761, 18372, 26451, 35998?\n\"Answer: 734*k**2 + 5*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -421398 from -109.\nAnswer: 421289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138941?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6527992*p**4 + 32*p - 13141?\nAnswer: 78335904*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 6)*(4*h**2 - 127 - 505*h + 104 + 23).\nAnswer: 8*h**2 - 1010*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 times -4?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r + 9. Let a = 35 + -13. Suppose 4*m - 10 - a = 0. Determine d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let x(j) be the third derivative of -7*j**5\/60 - 38*j**2. What is y(x(w))?\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*10\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 142132 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 370323*p**2 + 26 - 185212*p**2 - 185167*p**2.\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 1833480087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -3\/5 (b) 1\/4 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*y - 96. Let f = -299 + 440. Let b = f - 132. What is the remainder when y is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, p: 1, g: 2, h: 3}. What is prob of sequence bgh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -8*t**3 + 2*t**2 - 5*t. Let b(s) = 15*s**3 - 4*s**2 + 9*s. Determine 6*b(q) + 11*l(q).\nAnswer: 2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2, -425, 5?\nAnswer: -425","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22 + 614 + (-28)\/(-13) + (-10)\/65. Calculate the highest common factor of 957 and v.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*s - 3, -2*s - 514 + 512 = 2*w. Which is smaller: -184 or w?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5 + j**3 + 2*j**2 - 3*j + 0*j**2 + j**2. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404301 < 24662410\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h - 4 - 4*h + 1. Let g be i(-4). Let d be (g\/9)\/(3\/(-9)). Solve 2*o + 0*x - 12 = -4*x, d*x + 11 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*i**3 + 191*i?\nAnswer: 996*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*i + i - 13, 4 = i + 2*t. Suppose -132 = -4*h + 5*c, -2*c - 2*c + 40 = i*h. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 99442 = -20*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320 - -1222313?\nAnswer: 1223233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13601531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1466*c - 64637 - 96623 for c.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -99 + 168. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 6:48 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3480 divided by -18562?\nAnswer: 1740\/9281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/423890 and -31\/144.\nAnswer: 30520080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49191 = -z + 4*o, 9*z - 12*z + 10*o + 147557 = 0. What is the ten thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/1)\/(-2))\/((-32)\/32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-2878632.\nAnswer: -34543584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1024 or -1040?\nAnswer: -1040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 319 - 2*n**2 - 15*n**3 - 994 + 362 + 313.\nAnswer: -15*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1081)\/(-92) + -14)\/((-2)\/7656). Calculate the highest common factor of 132 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/2*(3 - 466\/(-6)). Let f(m) = 2*m**2 + m + 1. Let a be f(2). What is the greatest common factor of a and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32d + 9?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-70))\/(279\/(-45) + 7). Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 1 - 1 = -4*t, -4*z + 114*t + 154 - 59 = 37*t - 67 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 16027 = -31399. List the prime factors of b.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 8:08 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5507, 1\/6, 2, 0 in decreasing order.\nAnswer: 2, 1\/6, 0, -5507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2598254 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -7*o**5\/20 - 6*o**2 - 25*o. What is the first derivative of j(c) wrt c?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**3 - 72*y**2 + 351*y + 1014 = 0. Calculate y.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3858549?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*10)\/(-4*-12*(-7)\/(-56))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*f**3*s + 4*f**2*s + 27*f wrt f.\nAnswer: -474*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -70\/4667963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2441893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 2\/45 (c) 0.2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/4 of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 12*x**3 - 15*x**2 + 2*x + 10. Is d(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12953715 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1063 = -9*n - 3*u + 1033, 0*u - 14 = 3*n + 2*u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 5\/2)*40. Solve -4*j = -0*j - i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2590 or -4273?\nAnswer: -4273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - l = 4, -214*r = -217*r - l - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1941 is divided by 139?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)*(f\/(f\/(((f*f\/(f\/((f\/f**(-6))\/f))*f*f)\/f*f)\/f)))\/f)\/(f**(-2)\/f*f*f*f)**(-1\/52) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewqwqewee. What is prob of sequence ww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13786584 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, u: 3}. Give prob of picking 3 u and 1 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-15))\/(-5 + 4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8*q - 1 = 11*q, 23 = 4*r + 5*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5625, -1984, -1, -2, 2 in decreasing order.\nAnswer: 5625, 2, -1, -2, -1984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/33440 and -3\/129580.\nAnswer: 1036640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 6. Let i be 81\/36 - q\/(-8). Let f be i - (2 + -1) - 601. What is f rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -12*w + 7*w - 7350, 3*w + 7344 = k. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104 + -94. Suppose -8*f - 120 = -i*f. Suppose 4*n - 9*n = -f. Solve 5 = -y + 2*d + n, -y - d + 4 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 70 + -60. Suppose -3*j + o + 32 = 0. Does 14 divide 220\/j - 6\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s - 4. Determine o(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from sggggsgggg?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11509225 or 11509226?\nAnswer: 11509225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 7561 - 7561 - 3*v**3 + 2*v.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of z**9\/60480 - z**8\/10080 + z**7\/5040 - z**5\/20 - 3*z**2. Let d(j) be the third derivative of x(j). Factor d(h).\nAnswer: h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elcccbt. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 781219 + -333580332\/427. Let h = 2\/427 + d. Suppose 2*w = -w - 6. Which is the second smallest value? (a) w (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372083, 2977618, 10049783, 23821892, 46527259?\nAnswer: 80399198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 6:19 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a week?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 163 - 159 = -4*f, -3*k - 5*f - 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.349+0.2\nAnswer: -0.149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11714 + -46859\/4. Sort 0.4, 5, a, 2\/21 in increasing order.\nAnswer: a, 2\/21, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.23937102 from 6.1.\nAnswer: 5.86062898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/11362 and 29\/637.\nAnswer: 556738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 15) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:52 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 282872 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -4*h + 34, 5*h = c - 5*c + 36. Let t = h - 0. What is the least common multiple of 7 and t + -6 - (0 + 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.03133nm in meters?\nAnswer: 0.00000000903133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004302552 rounded to seven decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 133 + -33?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 1501*h + 146572. Give s(105).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1641505, 1641506, 1641507, 1641508, 1641509?\n\"Answer: w + 1641504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 912*u - 3*u**4 + 11 + 14*u**2 - 2*u**3 - 913*u to d*u**2 + b*u + f*u**3 + k*u**4 + x and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*n - 91, q - 14 = -2*n + 56. Let g(c) = 9*c + 33*c - 37 + n. Let h(m) = 2*m. Calculate g(h(v)).\nAnswer: 84*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 342 and 950?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 157\/((84\/126)\/(4\/(-6)) - -2). Solve 37 = -15*d + o for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*k + 34 - 12 = 0, k = -5*n + 38. Let l(t) = -t**2 + 8*t + 6. Let u = -114 + 164. What is the remainder when u is divided by l(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 110 + 38 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 5, -1.122?\nAnswer: -1.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 27. Solve 2*l + 2*i + 5 = -5, -5*i - f = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98253349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608836 is divided by 152204.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322585 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9594612 + p**3 + 9594612.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 - 6*n**2 + 6*n**2 + (-3 + 4 - 3)*(2*n**4 - 4*n**2 + 4*n**2) - 75*n - 14*n**4 + 75*n.\nAnswer: -17*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let q = -87 - -84. Sort -2\/23, t, q in descending order.\nAnswer: -2\/23, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23532 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*x + 424*x + 610*x - 1166*x.\nAnswer: 307*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3991*m - 3586. What is the ten thousands digit of q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 930\/76139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/((-56)\/36) - -1*5. Let j(z) = z - 1 + 0*z + 2. What is j(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) -1\/6 (c) -1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 701*n - 974 wrt n.\nAnswer: 701","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 4*p, -3*t + 2*t - 3*p = 1. What is the units digit of t - (-4)\/(12\/237)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.693968 rounded to three decimal places?\nAnswer: 0.694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/161)\/(2\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f*n**3 - 1533*f*n**2 + 3024*f*n - 923*f + 261*n**2 wrt n.\nAnswer: -18*f*n - 3066*f + 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 5*t - 4. Give k(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42783 is divided by 176?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1863365*n**2 + 273*n + 1020045473.\nAnswer: 3726730*n + 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3707 = -6*b + 103. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29058 divided by 167\nAnswer: -174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 0 - 8\/14. Let r be 3\/(-126)*7 - 25\/(-42). Which is bigger: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.935 + -6.945. Let n = -6 - s. Let r = n - -0.09. Is -4 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, o: 1, y: 2, p: 2, a: 5, h: 5}. What is prob of sequence oy?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, l: 6}. What is prob of picking 2 l?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2049672 or 2049670?\nAnswer: 2049672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*-1 - (31 + -47)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sllllslllg. Give prob of sequence sl.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -y, 5 = -3*k + 5*y - 1. What is the lowest common multiple of ((-27)\/108)\/(1\/(-24)) and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 924897516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -70*j - 74. Let x(h) = 23*h + 25. Let v(i) = 6*n(i) + 17*x(i). What is the first derivative of v(b) wrt b?\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2546427688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19641.404 * 0.2.\nAnswer: -3928.2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121220 - -2011100010?\nAnswer: 2021222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let k = -7 - -4. Let x = 104.927 + -105.027. What is the biggest value in u, x, -1, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7558272 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 6. Suppose 0 = -5*w - 2*g - 37, 38 = -5*w - 4*g + g. Let c be z(w). Let r = 5 + -4.5. What is the nearest to c in -0.2, r, -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13662501?\nAnswer: 3, 19, 281, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*x + 0 + 245*x**3 - 124*x + 237*x - 1 as q*x + a*x**3 + b*x**2 + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4164 + 4164 - 12489 + 4167 + 14*w.\nAnswer: 14*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 469698800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -64, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-3)*(-412658)\/(-38930)?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(130) - 1*sqrt(130) - sqrt(130)) + sqrt(130))\/sqrt(10) + sqrt(13))**2.\nAnswer: 8*sqrt(13) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11370778 by -2.\nAnswer: -5685389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6)\/(17 - (-2732)\/(-160))?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 241, 1904, 6423, 15226, 29741, 51396, 81619, 121838?\n\"Answer: 238*u**3 - 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 15 - 1 = 0. Suppose p*f - 4*c = 28, 6*f = 5*f + c + 13. 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: What are the prime factors of 29470902?\nAnswer: 2, 3, 29, 169373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*k - 475 = 7153 + 592 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -1747*q**6\/120 + 767*q**5\/30 + 193*q**2 + q. What is the third derivative of v(u) wrt u?\nAnswer: -10482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 49*k**3 + 971*k**2 - 6*k + 6. Let o(a) = 150*a**3 + 2915*a**2 - 17*a + 17. Let h(l) = -17*g(l) + 6*o(l). What is the third derivative of h(d) wrt d?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11099 - -11095. Let d = 3.19 + -0.19. What is the nearest to d in z, -0.03, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*b**3 + 52*b**3 - 25*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsuu when four letters picked without replacement from {s: 7, u: 6, t: 1}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.9 - 11599.955?\nAnswer: -11347.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4069 + -4078. Put -8, 4, g, 5 in increasing order.\nAnswer: g, -8, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14458, -14423, -14388, -14353?\nAnswer: -14318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 23, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5557*r**2 - 44330*r wrt r.\nAnswer: 11114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8233*d + 3*h - 31 = 8237*d, 2*d - 3*h + 23 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -22. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 92466?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4106613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 25 = 3*y. What is the closest to 2\/3 in 2\/11, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*p - 3*p = -29, -p = 3*c - 23. Suppose b = c*b. Is b >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (9 - (1 - -2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 7 + 9 - f)*(-1612 - 10*f + 1612).\nAnswer: -20*f**2 - 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - 21) + (32 - 12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10901 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 6*v - 2. Suppose 3*k - 9 = 6. Calculate x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12) + -11 + 2766\/252\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806328 is divided by 574?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*f - 9*f**3 + 187*f)*(-25*f + 16*f**2 - 17*f**2 - 13*f).\nAnswer: 9*f**5 + 342*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*t**2 + 21*t**2 - 10*t**2 - 69*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428*q**2 - 451*q**2 + 321*q**2)*(-11*q - 17*q + 0*q).\nAnswer: 15624*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -10) + -9 + (-7 - -10 - -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14855 divided by 5.\nAnswer: -2971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:53 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z = -28*z - 29*z. Let h = 9\/7 - 73\/35. What is the fourth smallest value in h, -4\/9, z, -2\/13?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10 - 10 + 7*p + 3*p - 2*p + p + 2*p - p - 2*p + (-1 + 5 - 2)*(-4*p + 6*p - 3*p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 99. Let w(n) = 3*n**2 - 83*n - 68. Calculate the smallest common multiple of o and w(29).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-3 - 13) + 11 + -3 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/15 - 34\/(-10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 6. Let t be (20\/6)\/(1\/j). Let f(k) = -4*k**2 + 10*k - 10. Let g(a) = -2*a**2 + 3 + 2*a**2 - 3*a - a**2 + 2*a**2. Calculate t*g(v) - 3*f(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 811*r**6\/10 + 923*r**4\/4 + 3970*r. What is the third derivative of d(s) wrt s?\nAnswer: 58392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/18 and -1\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 612242 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4875*p**2 + 4864*p**2 - 14623*p**2 + 4883*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2344716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcco when four letters picked without replacement from {k: 1, c: 2, o: 2, u: 2, z: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 - 643*v**2 - 5606*v - 1310. Determine s(330).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1110102?\nAnswer: 1110102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 13 - (-1 + 12)) + (112 - 82).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2812 divided by -148\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 90, 105, 122, 141, 162?\n\"Answer: o**2 + 12*o + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2616\/(-132) - ((-48)\/(-22) - 2). Let b = q - -12. Let i(u) = -u**2 - 10*u - 6. Calculate the remainder when 25 is divided by i(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.5 and -13.7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.5, 4\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 14) in base 6?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2404.3 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21*k + 102. What is l(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/(z\/(z**(-6)*z)*z)*z)))\/(z**(3\/5)\/z) assuming z is positive.\nAnswer: z**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**2 + g - g - 2496*g**2 + 766*g**2.\nAnswer: -1679*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.85. Let z = -0.03 + -0.27. Let g = z - -1.3. Which is the smallest value? (a) g (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -16, 96 in descending order.\nAnswer: 96, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(5\/((-30)\/4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -333, 0, 259, -0.06 in ascending order.\nAnswer: -333, -0.06, 0, 259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(-7)\/a*a)*a*a\/(((a\/(a*a\/(a\/(a*a*a*a**9))))\/a)\/a))\/((a*a**(-2\/5)*a*a)\/a)**34)**(-29) assuming a is positive.\nAnswer: a**(4553\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 33 = -5*j, -2*n + 0*n + 5*j = -22. Let p = -15 + 22. Calculate the smallest common multiple of p and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 65.32205 millennia?\nAnswer: 783864.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 1. Let t(y) = 29*y**3 + 43*y**2 - 5*y + 5. Let g(j) = -5*d(j) - t(j). What is the third derivative of g(p) wrt p?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*14\/10*(-15)\/9. Suppose 2*n - 254 = 2*v - 4*v, -4*n - 5*v + 503 = 0. Suppose -4*y + p*y - n = 0. What is the highest common divisor of 66 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 9*w - 6*w. Let t(h) = 22 - 7*h - 1 - w*h - 9*h. What are the prime factors of t(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11438840983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/9)\/(-8) - 1901\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141534697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 + 3 + 2*c**3 - 3*c**3 - 2. Let u(m) be the third derivative of 1\/15*m**6 + 0*m**4 - m**3 + 5*m**2 + 0 - 1\/10*m**5 + 0*m. Give -6*n(q) - u(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 4*f**2 + f**2)*(f + 2*f - f) + 210*f + 3*f**3 - 21*f**2 - 208*f + 0*f**3.\nAnswer: 11*f**3 - 21*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/49995 and 79\/149985?\nAnswer: 149985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6399 - -6395. What is the third biggest value in -1\/9, 3, 1\/7, -3, t?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -561*s + 6745. Give l(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17797)\/5772)\/((-6)\/(-72))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1455?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(80)*1 - sqrt(80)) + 2*((sqrt(80) + 4)**2 + sqrt(80)) - 6*(((sqrt(80) + -3*sqrt(80) + sqrt(80) - sqrt(80)) + -5 + sqrt(80))**2 + -1).\nAnswer: -432 - 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 9:56 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 3) + 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236529*a - 468498*a + 231960*a - 2.\nAnswer: -9*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/6*23\/(-16)*-2*810264\/443716.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056232649 to 5 decimal places.\nAnswer: -0.05623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -495, -511, -527?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -14\/3, 1, -52?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2172968*s**3\/5 - 1738372*s**2 - 10864888*s\/5 - 12 = 0.\nAnswer: -1, -3\/543242, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 - 85*u + 19. Give a(28).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7156.9986804 + -7157. Round r to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/p**(1\/32))\/p))**37)**(-15\/8) assuming p is positive.\nAnswer: p**(-555\/256)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 130*d**3 + 5*d**2 - 17*d + 1. What is the thousands digit of g(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06445 + -197.00445. Let u = v - -195. Round u to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/30 - n**2 + n. Let h = 6 - -1. Let m(j) = 7*j**2 + h - 7. Determine l(m(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 41*b**2 + 33*b**2 + b**3.\nAnswer: b**3 + 78*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 23. Let i be b(5). What are the prime factors of (-868)\/(-6) + 6\/i?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01641668271 minus -4?\nAnswer: 4.01641668271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 563 - 65. Let x = a - 210. Suppose -2*c + 186 = -10*d + 18*d, -2*d = 5*c + 3. What is the greatest common factor of x and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1108, 2193, 3276, 4357?\n\"Answer: -h**2 + 1088*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156816 and 5010093?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1646 - -2727. Suppose 1394 = 3*c - h. Does 25 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -10*a**2 - 6 + 36*a**2 - 13*a**2 - 14*a - 9*a**2. Let b be t(4). Factor 1\/5*k + 2\/5*k**b + 1\/5*k**3 + 0.\nAnswer: k*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 4:35 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + d. Let t(j) = 10*j**2 - 4*j. Let y(a) = -2*f(a) - t(a). Find the second derivative of y(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000174283386 rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598331, -599792, -602227, -605636, -610019, -615376, -621707?\nAnswer: -629012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-5270)\/(-935))\/62)\/((-8)\/22)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m**2 - 3*m**2 + m - 5 + 14*m**2. What is the remainder when 18 is divided by l(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvo when three letters picked without replacement from vooovooooovooooooo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1705, 0.2, -5, -1, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - ((-56)\/(-6) - 10)) + 7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 - 17782*u**3\/5 - 8029992*u**2\/5 - 110930904*u\/5 - 205371936\/5 = 0.\nAnswer: -882, -12, -11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1.04. What is the third biggest value in -0.3, t, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -761*d**3 - 669*d**3 + 1487*d**3.\nAnswer: 57*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:54 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171\/(-270)*(-72)\/84*7?\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61774103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + q + 2. Let w(b) = 23*b**2 + 21. Let g(f) = 6*v(f) - w(f). Let z(c) = 5*c**2 - 5*c + 8. Determine -5*g(u) - 6*z(u).\nAnswer: -5*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = 24*x - 102 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.62 in -30, -812, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 853*-3.06077.\nAnswer: -2610.83681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -341*n - 397023 + 397023 - 538*n**3 wrt n?\nAnswer: -3228*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5457955, -5457956, -5457957, -5457958, -5457959, -5457960?\n\"Answer: -m - 5457954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47667 is divided by 23819.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*o = 18, 5*p = -3*o - 0 + 19. Let y be (p\/6)\/(((-5)\/(-276))\/5). What is the second derivative of -48*b**2 - 45*b**2 + y*b**2 - 36*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 17*y - 6. Let b(z) = z**2 + 16*z - 7. Let o(w) = -w**3 + 6*w**2 - 11*w + 72. Let c be o(6). Calculate c*b(r) - 7*n(r).\nAnswer: -r**2 - 23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 91, -3 in descending order.\nAnswer: 91, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**3 - 2*d**2 + d - 8. Let j(z) = 6*z**3 - z**2 + z - 9. Let n(k) = 5*c(k) - 4*j(k). Give n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/33 and -77\/88563?\nAnswer: 974193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 77*i + 503. Determine n(30).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11034693 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -76*l + 3. Let y be k(6). Let w = y - -61156\/135. Let o = w - -398\/945. Which is the nearest to -1? (a) o (b) 2 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five eighths of a kilogram?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + h - h + (-h**2 + 2 - 2)*(-8127 - 21*h + 8127) as i + v*h + x*h**2 + t*h**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -17*s**5\/20 + 4*s**2 + 18*s. Find the first derivative of l(x) wrt x.\nAnswer: -51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*(2*sqrt(112) + 1 + 1 + -3*sqrt(112)))**2.\nAnswer: -2304*sqrt(7) + 16704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000177783 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, -1, 347, 1 in decreasing order.\nAnswer: 347, 1, -1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*r + 33 = j, -2*r = 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3594504 - 8294504. What is w rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27403 - 27414. What is the third biggest value in -3, d, -2.1, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -181*t**3 + 155*t**2 - 150136*t wrt t?\nAnswer: -1086*t + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**3\/2 - 10*u**2 - 173*u. What is n(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (1 - (12 - 5 - 2))) + 17\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-4 + 2 + sqrt(320) + sqrt(320))**2 - -1*(sqrt(320) + 0)**2) + -5.\nAnswer: -64*sqrt(5) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llttkktlelle. Give prob of picking 1 l, 1 k, and 1 t.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f - 21*f + 536 + 8*f - 536 + f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*r - 39 = 0, r - 183 - 3 = -4*u. Let z = u + -189\/4. Let x = 0.07 - -4.93. Which is the biggest value? (a) x (b) 0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 15 - 12 - (2 + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 3, -3, -5, -7, -6, -9.\nAnswer: -9, -7, -6, -5, -3, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34997890 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 1. Suppose 124*q + 28 = 128*q. Let d = 15\/2 - q. Which is the closest to -1? (a) z (b) 2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339323 minus 2.869425?\nAnswer: -3.208748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 2 + 7. Let u = -8 + n. Let g be 2\/(-5) - (-4 - u). Sort -5, 0.1, g in descending order.\nAnswer: g, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 3) to base 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - (sqrt(152) + -1*(sqrt(152)*-2 - sqrt(152)))) + sqrt(152) + -5*sqrt(152)*-1)\/(-3*(sqrt(40)*-5)\/sqrt(5)).\nAnswer: 4*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**4 + 21919*a**2 - 133*a + 249481655 wrt a.\nAnswer: 4*a**3 + 43838*a - 133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by -5951916.\nAnswer: -13\/5951916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + 66. What are the prime factors of b?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914181 is divided by 235.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*s + 796 = -208, 3*n - 3*s - 747 = 0. Calculate the highest common divisor of n and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 10. Calculate the smallest common multiple of 5 and 4\/(-10) + (-37)\/u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o = -10*o - 72. What is the greatest common divisor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 55244?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -211, -219, -227, -235, -243, -251?\n\"Answer: -8*i - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3 = 15. Suppose -3*n - c = -5*n. Solve 0 = 3*w - 15, 4 = -5*t - n*w + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = -40. Let q be 4\/18 - i\/(-450). Let m = 77\/425 - q. Is 1 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 16, 0.2, -22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -19. Solve 5*x - a = 2*x + k, -2*k = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22923071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -k**4\/18 - k**3\/9 + 44*k. Factor d(p).\nAnswer: -2*p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 s when three letters picked without replacement from {n: 3, q: 4, v: 4, s: 4}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1703060242 to the power of 1\/3, to the nearest integer?\nAnswer: 1194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 u when three letters picked without replacement from ubrbrcccwuwuccwbcruc.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-27*(-2)\/72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -10 - 53*a**3 + 17\/2*a**2 - 3*a. What is the first derivative of k(f) wrt f?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/11, -156?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3 + 886983*x**2 - 3*x - 886983 = 0.\nAnswer: -295661, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 - l. Let j(x) = 7*x**2 - 2*x. Let w = -509 + 549. Suppose -w*c = 38 + 82. Give c*j(k) + 8*o(k).\nAnswer: -5*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 125205\nAnswer: -125200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 + 5*q + 3. Let j be t(-5). Let m be -1 + ((-3)\/j - -13). Differentiate -2*h**3 + 2 - m*h + 11*h with respect to h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 22*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 781 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*w - 547 = 467 + 246. Solve -3*s = -0*s + 2*x + 9, -3*s + 4*x + w = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2)*(-2 + 2 + g) + (-2 + 0 + 1)*(-2*g + 3*g - 2*g) + 8*g + 6*g - 7*g to k + m*g and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**3*b*(b\/((b*b**(-16)*b*b)\/b))\/b assuming b is positive.\nAnswer: b**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 178*t - 1. Is o(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*y + 5524, -l + 2*y + 667 = 2069. Which is smaller: -1384 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20001\/(-3616)*((-4)\/(-87))\/(-1) and 52\/319.\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijjjiiijjjjij. Give prob of sequence jii.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1325, -1329, -1335, -1343?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 176\/(-66)*(90\/(-8))\/(-3). Let g(n) = 2*n**2 + 14*n - 7. Is g(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 4 - 2. Suppose -q*b = -2*b - 1316. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2152443537 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2732999*a**2 - 2733000*a**2 - 4 + 72*a)*(6 - 2 + 4).\nAnswer: -8*a**2 + 576*a - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**6)\/a)\/a**(1\/8))**(-11)*(a**(-1)\/a*a)**(-1\/3)*a\/(a**0*a)*a*a\/((a\/a**(-2))\/a) assuming a is positive.\nAnswer: a**(1625\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -465 and -2.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*d - 41. Suppose 2*n + n = d. Let k(q) = q**3 + 13*q**2 - 35*q - 20. Let p be k(-15). Calculate the greatest common divisor of p and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2 - sqrt(77))*-2 - 4*(sqrt(77) + sqrt(77)*2))\/(sqrt(22)\/(sqrt(162)*-2)).\nAnswer: 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -4. Let g be 2*v*(-12)\/(-8). Let b be ((-3)\/2)\/(g\/(-30)). Solve -4*x = 2*p - 10, 3*x - 8 - 19 = b*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i**2 - 177*i**2 + 410*i**2 - 221*i**2.\nAnswer: -111*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -16. Suppose 299 = 3*f - y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q = 116 + 160. Let u = -5 - -10. Sort q, -4, u.\nAnswer: -4, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 53*l**5\/60 + l**4\/12 + 32*l**3\/3 - 12*l**2 + 2. Differentiate y(n) wrt n.\nAnswer: 106*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -7 - (11 - (4 + 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.01 (c) -2\/5 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.03009 and 0.5.\nAnswer: 0.53009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -19637122, -19637123, -19637124, -19637125, -19637126?\n\"Answer: -n - 19637121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1190 and -71\/8.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 32753419 to the power of 1\/2, to the nearest integer?\nAnswer: 5723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/209 equal to 601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1, -11, -47, -119, -239, -419, -671?\n\"Answer: -2*h**3 + 2*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(((v**18*v)\/v)\/v))\/(v\/v**(-24)*v) assuming v is positive.\nAnswer: v**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 13*b + 7. Suppose 0 = -10*u - 2503 + 2613. What is k(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/22 and (-120)\/(-48) + (-4137)\/1641?\nAnswer: 12034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -2) + sqrt(190)\/sqrt(250) + (sqrt(1216) - (-4 + -3 + sqrt(1216))) + -1.\nAnswer: -19*sqrt(19)\/5 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:33 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 2 u, and 1 l when four letters picked without replacement from {u: 6, l: 8, k: 1, i: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109\/357 - 1\/51. Let s = 229.338 + -226.3. Let c = 0.038 - s. Sort p, -3\/2, c in decreasing order.\nAnswer: p, -3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1411 - -1410. Put -2\/11, -0.05, 1, u in decreasing order.\nAnswer: 1, -0.05, -2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-104540)\/30)\/(6\/(-9)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 37552*z = -37557*z - 155, -3*h - 1986 = 60*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -747012 divided by 7?\nAnswer: -106716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.893 - 20.417. Let c = 128 + j. Round c to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 7*f**3\/3 - 35*f**2 + 3*f + 73. What is the lowest common multiple of 297 and j(10)?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5882\/21 + -280. Let i be (-2 - (-39)\/(-18))*2\/(-5). Let y = 97 + -102. Which is the smallest value? (a) i (b) y (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from naantntaatnanntjnntf?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57011800?\nAnswer: 2, 5, 197, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 9*i = 159000. What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 215, 226, 239, 254, 271, 290?\n\"Answer: y**2 + 8*y + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/7 + 31317*s**3\/7 + 93957*s**2\/7 + 93959*s\/7 + 31320\/7.\nAnswer: -(s - 31320)*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -457, 258, 973, 1688?\n\"Answer: 715*y - 1172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 10*a + 5*v - 359, -3*a + 4*v + 3*v - 10*v = -168 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.7 - 67. Let o = 1.6 - 3.6. What is the second smallest value in o, y, 3\/4, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -2.78\nAnswer: 13.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -502 + 472.5. Let w = 29.5000114 + k. What is w rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 - 4066*s\/7 + 2008968\/7.\nAnswer: -2*(s - 411)*(s + 2444)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-682*i**3 + 21018 - 21018)*(i - 3*i - 1 + 5*i + (3 + 2 - 3)*(3 - i - 3)).\nAnswer: -682*i**4 + 682*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -4*i + 16, 89*i + 11 = -x + 85*i for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 87.5. What is the closest to 1 in -1\/5, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.18 (b) 3 (c) 3.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 6361885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400804\/109 or 3677?\nAnswer: 3677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -450*q**2 + 165*q + 165. Let y(p) = -11*p**2 + 4*p + 4. Determine -4*u(g) + 165*y(g).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2. Let t(p) = -7*p**2 + 4*p - 4. Let w(r) = -t(r) - 6*y(r). Let k = -6 - -12. What is the smallest common multiple of 22 and w(k)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22030 (base 4) to base 16.\nAnswer: -28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 1, t: 5}. Give prob of sequence ts.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 236*p**5 + p**4 - 721*p wrt p?\nAnswer: 4720*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33107 times -19.2?\nAnswer: -635654.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-57336)\/(3 + -11) + 9?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -236\/1815 - 2\/605. Suppose 2*j + 3 = 5*j. Let a = -9650 + 9647. Sort -0.2, a, w, j.\nAnswer: a, -0.2, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-5) + (-12)\/(-20))*5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 5, t: 8, k: 2, q: 1}. Give prob of sequence qs.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10019831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 18*g = -497. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 893 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81072, 81071, 81068, 81063, 81056, 81047, 81036?\nAnswer: 81023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -496.11 - -497. Round p to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 3, 7, 6 in descending order.\nAnswer: 38, 7, 6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 10787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30579017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-78)*1276\/1595?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 27 = -3*j - y, -2*j = y - 23. Suppose t = 6 + j. Calculate the lowest common multiple of t and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - 123 - (1\/(-3) - (-4)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14250 to the nearest one hundred.\nAnswer: -14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in 5, 1.29, -2\/7, -0.11, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18520*m**4 + 13630.\nAnswer: 74080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j**2 - 9*j**3 - 4*j**2 - 167*j**4 - 924 - 4*j + 3*j + 5*j**2 + 923 in the form t + u*j**2 + p*j + d*j**4 + y*j**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -b + 4*d, -11 = -b - 4*d + 3. Let c = 100 - 105. What is the nearest to -1\/5 in b, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in -2, 0.4, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 62585*r**2.\nAnswer: -5*r**2*(r - 12517)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*c + 0 + 8*c - c**4 + 0 wrt c?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 86, -2, 0.2, 170\/3, -0.042, -0.12, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 23*g**2 + 6*g. Let a(q) = -q**2 - q. Let v be -2 + (-56)\/(-26) + 11\/715*250. What is v*a(k) + b(k)?\nAnswer: 19*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 625.844 - 50.374. Let o = s + -573. Let p = -23.63 - o. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((4*(sqrt(104) - sqrt(104)*-5))\/sqrt(2))\/((sqrt(2904)*-5)\/sqrt(6))*6)**2.\nAnswer: 281668\/3025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 4*j**2 - j**2. Let o = -27 - -34. Let t(q) = -2*q - 7 + o. Give t(y(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.76 + -66. Let g = j + 9.1771. Let c = 0.1146 + g. What is c rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - 3*m - 4. Suppose 13 = -5*s - 32. What is the units digit of z(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2049242*h**2 + h - 484666?\nAnswer: 4098484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 3)*(-1)\/5. Which is the nearest to -0.1? (a) m (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*d + 121 - 15 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -19. Let d(w) = 6*w**3 - 4*w**2 + 4*w - 7. Let b(i) = 7*i**3 - 3*i**2 + 3*i - 8. Let f(m) = n*d(m) + 4*b(m). What is the derivative of f(c) wrt c?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*f = 2*c - 10, -4*c - 24 = f. Let b = 5 - c. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 14889?\nAnswer: 14893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 + 0 + 0 + (-2*x**2 - 3*x**2 + 4*x**2)*(2 - 4 + 1) - 2 + 2 + 2*x**2 + 3*x**2 - 4*x**2 + 2*x**2 + 3*x**2 + x**2 + x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -64123, -64042, -63961, -63880, -63799, -63718?\n\"Answer: 81*o - 64204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 12:29 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + j = 19, 3*m + 0*m - 46 = -5*j for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 - 2*g + 7. Let a(o) = -o**2 + 8*o - 10. Let q be a(5). Let i be m(q). Let w = 22 - i. Solve 4*p - 2*r = w, -r + 16 = 2*p - 6*r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.393257 and 0.5?\nAnswer: 0.6966285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) 0.5 (b) 0.04 (c) -2\/33 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*s**3 - 151*s**3 + 305*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:48 AM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 4*o**2 - 5*o + 3. Let n be f(2). Let d(u) = -7*u**3 - 8*u**2 + 18*u + 6. Is d(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*o + 2*d + 76, -d - 63 = 4*o. Let u = 14 + o. Which is greater: -3 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwggtpawgawaaaga. Give prob of sequence aaa.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1135750 (base 8) in base 5?\nAnswer: -34411443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 67\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -125, -91, -35, 43, 143, 265?\n\"Answer: 11*w**2 + w - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 4. Let o be k(2). Suppose -g + 5*q - 70 = o, 0*g - q + 95 = -2*g. Let i = g + 51. What is the least common multiple of i and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 528 + -368. Calculate the remainder when u is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - l - 0*l - 20, -4*r - 4*l = 0. Suppose -8 - 19 = m. Let h = m + 36. Calculate the remainder when h is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 516 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 276753+-0.3\nAnswer: 276752.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -3*h + 428 - 382, 12*n = h - 29 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 e when three letters picked without replacement from qoqnure?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12763, 12803, 12843, 12883, 12923?\n\"Answer: 40*s + 12723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 11*k + 7. Determine b(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1289\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (16 + -9) - (18 + -6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4 - 42*o**2 - 6*o**3 + 0*o - 1\/15*o**5 + 0. Solve n(s) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2957 is divided by 320.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*174*14\/(-4)*(-492)\/10332.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 plus -0.04285?\nAnswer: -311.04285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (5 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -304353.7270572 take away 0.02?\nAnswer: -304353.7470572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2282664847 and 16598?\nAnswer: 8299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -9*k**3 - k - 2. Does 4 divide h(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128\/567 - 2\/567. Let -4\/9*g - 2\/9*g**2 - f = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1076 and -283.5023.\nAnswer: -1359.5023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (680\/25)\/(3\/(-5) - -1). What is the second derivative of -7*p**4 + 40*p**4 - 128*p + 78*p + t*p wrt p?\nAnswer: 396*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -469 + 472. Suppose 5*r + 7*r**2 - d*r**2 + 8*r**2 - 18 + r**3 + 4*r - 4*r**2 = 0. What is r?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 3*g + 2*r = -4, 7*g + 11*r = 10*g + 56 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3281 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + b + 2*b + b - 2*b - 2*b - 2*b + 2*b + (b + 4*b - 3*b)*(-4 + 3 + 3) - 2*b - 3 + 3 + 4*b - b - b - 2*b - 3*b + 4*b)*(2 + 11 + 8).\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 309 and 107679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - -1. Suppose -12*m + 15*m + 5*v - t = 0, v = 3*m - 49. Calculate the remainder when 28 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-6)\/(-2))\/15 + 14\/((-40670)\/381) and 7\/332?\nAnswer: 2324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*j**3 + 5*j**3 + 0*j**3)*(-5 + 3 + 7)*(0 + 1 + 0)*(581 - 491 + 332 + 531) in the form p*j**2 + a + n*j + k*j**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1747404ms in nanoseconds?\nAnswer: 174740.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194593110?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168387291 is divided by 259?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -350, -519, -684, -845, -1002, -1155?\nAnswer: -1304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(-209*330\/1936).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*c = -4*l + 633*c + 8, 2*l - 22 = -3*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8*((-65)\/(-78))\/(960\/(-9072))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 217192 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144236?\nAnswer: 2, 107, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -53, -121, -249, -455, -757, -1173, -1721?\nAnswer: -2419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -280*f + 75. Calculate the least common multiple of 50 and q(-5).\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184+-936\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.008 - -0.008. Sort 2, a, -0.6, 2\/21 in descending order.\nAnswer: 2, 2\/21, -0.6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-72)\/(-30))\/(5\/1500). Let z = n - 716. Solve 0*r = -r - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**3\/6 + 5*s**2 + 7*s. Let a be r(7). Suppose -q + a*q = 88. Calculate the greatest common divisor of 66 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3119, 13415, 30575, 54599, 85487, 123239, 167855?\n\"Answer: 3432*t**2 - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 359.4 + -359.4000010092. Round u to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 + (2337\/(-18))\/(-19))*3. Which is smaller: y or 627\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, 2.9, 0.06, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4098011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 5\/3*x**2 + 2\/3*x**3 - 4\/3*x - 8. Let d(k) = 0. Calculate k.\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 182 + -87. Let g = -101 + b. Put -5\/3, g, -1 in descending order.\nAnswer: -1, -5\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/459 and 77\/351.\nAnswer: 5967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + 1 + 6 + (-11 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13220 - 5051?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*m - 24 = 0, 11*c + m = 15*c - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*g = 27*g + 6. Suppose -2*x - 3 = -x. Is (g - x - 7)*-7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 35 = 2*i, -5*t + 4 + 11 = -2*i. Suppose -309*y - 25 = -314*y. Solve 2*x**3 + i*x**y + 3*x**3 + 22*x**5 - 2*x**3 - 18*x**4 = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161395?\nAnswer: 5, 13, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15.87 * -0.52635\nAnswer: 8.3531745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hccc when four letters picked without replacement from ihcccicciichiciihh.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 235 in descending order.\nAnswer: 235, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46.09999539 - -46.1. What is c rounded to seven dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30400, -61206, -92008, -122806, -153600, -184390, -215176?\nAnswer: -245958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r. Let f(v) = -v. Let b(s) = -9*f(s) + 2*n(s). Let i(k) = k**2. Give b(i(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 2\/7, 0.4, -7201 in increasing order.\nAnswer: -7201, -1\/8, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 93 - 17 = 0. Let j(w) = w**2 - 2*w - 9. Let a be j(7). Suppose -5*f + 10 = 0, 3*f = -z - f + a. Calculate the smallest common multiple of x and z.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 79*c**2. Let t(s) = 183*s. What is j(t(h))?\nAnswer: 2645631*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-8)*27\/(-63). What is the third smallest value in 4, 0.4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*o + 5*o + 3*o**2 + o in the form x*o**2 + c + a*o and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261146 is divided by 3917?\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 54 = -p + 49, 3*p = 3*t + 30. Sort 0, t, 4, 5.\nAnswer: t, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -73. Suppose o + 5*w - k = -2*o, -3*o + 4*w + 22 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, w: 1, h: 1, j: 2}. Give prob of picking 2 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 20 = -i. What is the second derivative of -11*w + 3*w**3 - 4*w**3 + i*w**3 wrt w?\nAnswer: 54*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/20 + p**4\/3 - p**3\/6 - 5*p**2\/2 + 64*p. Suppose 4*y = -8, -2*y - 12 = 5*i - 6*y. Determine u(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8\/259 - -16811\/777. What is the common denominator of x and 22\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 5623560?\nAnswer: 5623560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-12)*4\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, c: 5}. Give prob of sequence jc.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 20 = -u, 4*u = -3*n + 29. Let s be 4\/(4*2\/8). Put s, -3, u in ascending order.\nAnswer: -3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/28)\/((-312)\/10192)*11\/7?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 - 2*n - 5. Let t be v(-4). Let o(q) = -q + 0*q + 0*q + t*q. Let a(d) = 2 + 2*d - 2. Determine a(o(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9115009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 469670.7 weeks?\nAnswer: 284056839360000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*2*5 + (sqrt(57)\/(sqrt(3)*-3))**2 + 2*(-4*(sqrt(76)\/sqrt(4) + 2))**2.\nAnswer: 138*sqrt(19) + 6643\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32192075 less than -82326?\nAnswer: -32274401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 = -3*y - 4, 3*y + 6 = 0. Solve -4*n + 2*n + 8 = 4*h, -n + 4 = o*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**3 + 953001*h**2 + 6391662*h?\nAnswer: -66*h + 1906002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) 7 (c) 0.411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 8 + (8 - 12) + -3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2198325 to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1185.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*m - 21, 2*m + 13 = -3*s + 34. Calculate the least common multiple of 748 and s.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 3*t + 189 = 0. What are the prime factors of (-1535)\/(-35) - (-3)\/t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 + -46. Suppose -651 = -5*j - 4*d, 2*j - 191 - 75 = -3*d. Let n = j - 95. What is the greatest common factor of n and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 4*i + 3*i)*(-4 + 4 + 7*i).\nAnswer: -7*i**2 - 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3 - ((-83)\/(-1) - 41)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756848359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**6\/20 + s**4\/12 + s**3\/6 + 48*s**2. Let n be u(-1). Solve 5*k + 4 = -n*r + 34, 4 = 4*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*w = -19 + 59, -3*r + 5*w = -32. Suppose -r*a - 376 = -3256. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 - y + 4. Let m be o(-6). Determine h, given that 4 + 76*h**2 + 74*h**2 - m*h**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:21 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 23, -4, -2 in increasing order.\nAnswer: -4, -2, 3, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1082.284 + -1075. Let x = -0.284 + z. What is the biggest value in -0.1, x, -1, -4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 5*t + 6*t)*(11 + 2 + 23) + (4 - 1 - 5)*(-3*t + 0*t + 2*t) - 3 + 3 - t.\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -4*v**6\/15 + 2*v**5\/5 - v**4\/6 - 17*v - 2. Factor g(w).\nAnswer: -2*w**2*(2*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56842 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 q, 1 s, and 1 g when four letters picked without replacement from iqgsbqqq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i. Suppose -2*m + 18 = 6. Let n(w) = 3*w - 6. Let l be n(m). Let j(z) = -l*z**2 + 31*z**2 - 9*z**2 - 12*z**2. Give p(j(u)).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.8468958 kilometers?\nAnswer: 846895800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 - -8. Let s be (-4)\/(-5) - 213\/f. Suppose s = -5*y + 60. Calculate the greatest common factor of y and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -5*r + 15. Suppose r*c + 42 = 75. Let w = 11 - 6. Solve c*j + 6 = w*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5827, 5828, 5829?\n\"Answer: g + 5826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 - 7)*((2 - 5 + 1)*(4*r + r - 3*r) - 3*r + r + r + 3 + 4 - 5 - 4*r).\nAnswer: 126*r - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.9 and 1671.\nAnswer: 1673.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 j when three letters picked without replacement from ywwwjfj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.41 plus -220238199?\nAnswer: -220238183.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -58 (base 15) to base 4\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:53 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/56)\/(-4)*1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86261 (base 9) in base 15?\nAnswer: 11da4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 + 11650?\nAnswer: 12005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-39)*(w*w**(-8))\/(w**9*w) assuming w is positive.\nAnswer: w**(-95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 10:47 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (273 - 280) + 4 + 4 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10.70428 - -10.7. Round l to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108*(-154)\/56*(-46)\/(-253).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 94*u - 5. Let q(o) = -3*o**2 + 44*o + 3. Determine 5*q(j) + 3*z(j).\nAnswer: 6*j**2 - 62*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1782) - ((1*sqrt(1782) - sqrt(1782)) + sqrt(1782)))*-6)\/((1*sqrt(33))\/sqrt(3) - -4*sqrt(176)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 2*f - 10, -5*f - 47*q = -48*q - 9 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.16, -4\/5, 5, -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjdj when four letters picked without replacement from {p: 1, q: 5, k: 3, j: 8, d: 3}.\nAnswer: 7\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 0*h**2 + 0*h**2 + (-2 + 2 + 3*h**2)*(6*h + 4*h + 6*h) to the form k*h + g*h**3 + n*h**2 + p and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1085\/8 + -136. Let j be 3718\/507 + 2\/(-6) - 51\/7. Which is the nearest to j? (a) -1\/3 (b) o (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-8)\/(3 + -2). Let t(n) = -5*n**2 - 7*n + 9. Let o(c) = c**2 + c - 1. Let b(v) = 6*o(v) + t(v). What is b(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + p - 1. Let b = 201 - 204. Determine a(b).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -2, -3, -72 in decreasing order.\nAnswer: 4, -2, -3, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 188836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.005 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 2, -63, -144, -235?\n\"Answer: x**3 - 17*x**2 + x + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 730?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(3 - 3 + 3)*(1 - 1 - 2*k**2).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 17*u**6\/120 + u**5\/10 + u**3 + 2*u**2. Let s(i) = -i**3 - i**2 - 1. Let n = 80851 - 80857. Determine n*s(j) - w(j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -328*p. Let m(g) = -34*g - 2. Calculate j(m(i)).\nAnswer: 11152*i + 656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -24. What is the third biggest value in s, -2, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/43, 0, 0.41?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 30 = -4*y + 13, 2*t - 2*y - 10 = 0. Suppose 2*m - 1 - 7 = 0. Let p = m - t. Is 0.1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3890989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3 + 3*t**2 - 1\/2*t**4 + 2 + 22*t - 1\/20*t**5. Let o(r) be the first derivative of q(r). Give o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7774\/(-414) + 4\/(-18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3.326805?\nAnswer: 1.326805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*u + 470*u = 4*x - 16, x + 4*u - 16 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s - 1. Let h be f(1). Let w(x) = h*x - 4 + 4. Let j(o) = 6*o - 4. Let t(a) = 5*a - 3. Let l(z) = 3*j(z) - 4*t(z). Determine w(l(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 4*f)*(445*f + 450*f + 454*f + 451*f + 79 - 1810*f) as b + y*f + v*f**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 6.7, -0.01, -4, 2.6?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -731, -762, -783, -788, -771, -726, -647?\n\"Answer: m**3 - m**2 - 35*m - 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39145 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -158, -179 in descending order.\nAnswer: -21, -158, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let a(g) = -g**3 - 2*g**2 + 1. Let x be a(-1). Let o = 1 + x. Which is smaller: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 369037419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - l - 2. Let j(i) = -147*i**4 + 2*i**2 + 2*i - 1. Let g(o) = -j(o) - 2*v(o). Find the first derivative of g(c) wrt c.\nAnswer: 588*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c**(-26\/5)\/c)))**(2\/77)\/(c**(-15))**28 assuming c is positive.\nAnswer: c**(161638\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -80. Let g = -8 - y. What is the third derivative of 12*l**2 + 23*l**3 + 39*l**2 - g*l**2 wrt l?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -407 at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-6)\/(-75)*1545. Let b = z - -1093. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 12:13 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1 - -2 - (-23)\/(-22)). Suppose -10 - p = -4*g. Let n = 6 + g. What is the remainder when 55 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*s = 16, 2*c - 5 = -3*c - 2*s. Put 1, -4, 6, c in increasing order.\nAnswer: -4, c, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*v - v - 20 = 0, 0 = 4*v + 16. Suppose f = -3*q - 15, -5*f - 3*q - k*q - 25 = 0. Let y = 2564 - 2564. Solve f = 2*u - y*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 918*56585\nAnswer: 51945030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:15 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0 = -3*s - 3, s + 2*j + 2 = 0. Suppose 2*x + 4 + 2 = s. Let o = x + 5. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1490*n**2 + 1491*n**2 - 2977*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 - (50 - (45 - 18))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1210175 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Suppose -2*i + 0 - 1 = j, 5*i + 7 = 2*j. Let k(t) be the first derivative of -j - 5 + t**2 + 0 + 3. Give q(k(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/92 and 5\/46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 261 = -981. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 12709432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5557*l**3 - 485 + 485.\nAnswer: -5557*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o - 6 = -n, 10 = -5*o. Suppose n*u - u - 4*d - 73 = 0, 0 = 5*d + 5. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -25\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5545.7 and 0.5?\nAnswer: 5546.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -2430722.37 to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q. Let v(w) be the first derivative of -1867*w**3\/3 - 2135. Calculate v(z(u)).\nAnswer: -29872*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 2*z - 2. Let x(r) = -5*r**2 + 3*r + 3. Let w(y) = 6*b(y) + 5*x(y). Suppose 5*j + 30 = 5*v, -7*v = -3*v - 5*j - 27. What is w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/87)\/t)\/(t**30*t)*(t**(2\/15))**(9\/4) assuming t is positive.\nAnswer: t**(-27599\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13974648*d**2*n**4 - 2*d**2*n**3 - 15*d**2*n**2 + 2*d**2*n - 2*d**2 - 11191*d*n + d + 2 wrt n.\nAnswer: -335391552*d**2*n - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*g, 3*n - 9 - 154 = -5*g. Suppose -5*u = -n - 24. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3869664 + 2689664. Round x to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 5*j**3 + 2*j**2 - 2*j + 1. Let l be x(1). Let b = -3 + l. Let i(f) = -f**2 - b*f + 7*f - 3*f. Give i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-39)\/(-2) - (-1)\/2. Suppose 4*b + b = w. Let d be (-1)\/(3\/(-20))*9\/12. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344297 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in years?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3462781 - -155?\nAnswer: -3462626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 848025.5 meters to micrometers.\nAnswer: 848025500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11490 = -2307*k, 0*k = 2*k - 59 + 69 for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -10*r**3 - 5*r**2. Let o(b) = 9*b**3 + 4*b**2. Determine -4*i(s) - 5*o(s).\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 2\/25 (c) 35 (d) -166\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.271, 2\/11, -0.3, -1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(243) + sqrt(243) + sqrt(243) + 0 + -5 - (1*sqrt(243) + 5 + -2 + sqrt(243)*1))**2.\nAnswer: -108*sqrt(3) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02138933163 rounded to six dps?\nAnswer: -0.021389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 206 and 8137.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*y = -102*y - 60 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 77 + 83*y**3 - 251*y**3.\nAnswer: -168*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11863109 (base 10) in base 7?\nAnswer: 202556216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25 minus 338124?\nAnswer: -338123.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 4, 17, 3, 7 in increasing order.\nAnswer: 3, 4, 7, 17, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -212*a**2 + 61*a**2 - 192*a**2.\nAnswer: -343*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21385613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 48334?\nAnswer: -241670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200 + 206. Let d(q) = q**3 - 5*q**2 - 7*q + 6. Calculate d(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*d - 24 = 0, -12*p + 10*p - 5*d - 21 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -16\/13, 6, 0.16, -13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 572 + -236. Suppose -5*n - u = -9*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70544\/7 equal to 10077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-150)\/(-8))\/25*8\/40)\/(72\/(-64))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1274 = 3*u, -16*s + 3*u - 6322 = -21*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 7. Let f(o) = 12*o + 3. Let d be f(-1). Let r = 15 + d. What is w(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 27*h**3 - 2*h**2 + h + 2. Determine n(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from jtjoootjotooj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -38ac5 (base 13) to base 5\nAnswer: -11330420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 2)*((-3*h + 6*h + 0*h)*(0 + 0 - 4) - 5 + 5 - 2*h - 1 + 1 - h).\nAnswer: -90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44955.3175 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.26308 kilograms to nanograms.\nAnswer: 1263080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3055035 to three decimal places.\nAnswer: -0.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 35.66716 nanograms?\nAnswer: 0.00003566716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h. What is the nearest to 0 in 3, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24857 or -24861?\nAnswer: -24861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/3 + 269*m**2 - 53432*m\/3 - 36700.\nAnswer: -(m - 734)*(m - 75)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6527.5 rounded to the nearest one hundred?\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 16*n**2 + 7*n + 10. What is the thousands digit of p(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4226360 and 48472.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - 13. Suppose 4*x + x = 500. Suppose -r = -a + 26, -2*r - x = -4*a - 0*r. What is the remainder when a is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 96 = -2*o - 16, 0 = o - 4*p + 74. Put 1, o, 6, -3, 3 in decreasing order.\nAnswer: 6, 3, 1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Let n(j) = j**2 - 881 + 881. Calculate i(n(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22313442 a multiple of 222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - y - 3 = 4*y, 7 = v - 5*y. Let x = 2166897 + -2166851. What is the remainder when x is divided by (-1)\/(1\/v)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 82 in 8.8, 2\/17, -59, 3?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + 7 + 8. Suppose 0*h + b = 4*h. Solve -q = -h + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*q + 108 = 0, 5*q + 65 + 88 = 2*f. What is the remainder when (-11*6\/(-1320)*-764)\/(2\/(-20)) is divided by f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n + 9. Let r be m(-8). Let x(z) = r*z - 54*z + 28*z. Let l(f) = 6*f. Calculate x(l(h)).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*w + 0*w - 456 - 192 + 5*w - 1118 wrt w?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - 14. Let y(s) = 12*s**2 - 11. Determine y(o(n)).\nAnswer: 108*n**4 - 1008*n**2 + 2341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 322 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 241368 and 13384?\nAnswer: 403808664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26600.26ug to tonnes.\nAnswer: 0.00000002660026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-2)\/(4\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exx when three letters picked without replacement from {x: 2, e: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 17 = -1. Suppose -w = b + 7, -10*b + 6*b = 5*w + 35. Let i = w + q. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110875627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -0*w + w, 3*w + 34 = 4*d. Let y be w\/(1*-2) + -1. Let n = -6 - -13. Solve y*j = -13 - n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 equal to 2288\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165 and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:29 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -200 in -1, 4\/5, 54, 44?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13042547 to the nearest integer?\nAnswer: 3611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/36*(4\/29)\/((-38)\/(-57))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 4:11 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*o**5 - 19*o**2 - 150*o**4 - 25*o**2 - 157*o**2 + 18*o**5 wrt o.\nAnswer: 120*o**2 - 3600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*a - 24. Let b(o) be the second derivative of 2\/27*o**3 - 2*o + 1\/45*o**a + 4\/45*o**5 + 7\/54*o**4 + 0 + 0*o**2. Factor b(r).\nAnswer: 2*r*(r + 1)**2*(3*r + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 6*p, -3*p = 2*k + 36. Is k < -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 530 or 531?\nAnswer: 530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 12 = -14. Let q(l) = 11*l**2 - 3*l**2 - 9*l**h. Let t(o) = 3*o - o + 10*o. Determine q(t(w)).\nAnswer: -144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (2\/(-4) + (-1245)\/(-2)). What is the common denominator of 15\/2 and (-4)\/(u\/(-66)) + 1 + 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*c*l**3*y**3 + 101*c*l**3 + c*l**2*y**2 + 6*c*l*y**3 + 5*l**2 - 3*l*y**3 wrt l.\nAnswer: 102*c*y**3 + 606*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 21*h + 2. Let t(d) = 2*d**2 + 62*d - 7. Give -8*s(b) - 3*t(b).\nAnswer: 2*b**2 - 18*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n + 2. Let b(a) = -14*a + 29. Let i(w) = b(w) - 6*z(w). Let y(v) = 21*v + 12. Let f(t) = t + 1. Let h(c) = 18*f(c) - y(c). Give -11*h(l) + 4*i(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 21*m**2 + 23*m - 33. Let c be s(-2). Suppose -286 - 140 = -6*p. What is the closest to -0.2 in -3\/5, p, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-5)*f*f*f**25*f assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2392, -9505, -21454, -38317, -60172, -87097?\nAnswer: -119170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49283\/20 - 2465. What is the common denominator of 174\/4*3\/54 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -3a16935?\nAnswer: -3a16930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1745863450 to the nearest integer?\nAnswer: 41784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, 4\/5, 29 in ascending order.\nAnswer: -471, 4\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 130?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 2*o**3\/3 + 3*o**2 + o - 3. Suppose 10*t - 5*t = -30. Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) 3\/5 (c) -0.3 (d) 10 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-108*z**3 + 206*z**3 - 100*z**3 + 11*z**2 + 4)*(-5 - z**2 + 5).\nAnswer: 2*z**5 - 11*z**4 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9710 - 9713. Which is the second biggest value? (a) -4 (b) 4 (c) m (d) -749\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 13886*k**2. Let v(r) = -2881*r. Calculate v(o(d)).\nAnswer: -40005566*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5 = -l, 0 = -4*l + x - 7 + 27. Solve 15*v**4 - 30*v**2 + l*v**4 + 2*v**5 + 72*v**3 + 54*v + 138*v**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -905 - -919. Put j, -0.5, -6 in descending order.\nAnswer: j, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73.2 - -73.7. Put -9, 0.2, u, 54 in descending order.\nAnswer: 54, u, 0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 6*m - 3. Let q be v(-5). Let w(k) be the second derivative of k**4\/12 + 61*k + 3. Determine w(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - w - 4*w)*(0 - 23047*w + 45298*w - 23524*w + 2).\nAnswer: 1273*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (18\/48 + 2216490\/16 - 7)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/(-336))\/(14\/9).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19))**2 + 1 - sqrt(19))*-5.\nAnswer: -105 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145248 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 2.1. Suppose 10*l + 1694 = 3*l. Let q = 242 + l. What is the nearest to 0.2 in q, -1, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 5949774.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47047563*n**2 + 6609934 wrt n?\nAnswer: 94095126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -27 + 31 + (4 - (-2 - 0)). Let h be -4 - -1 - (-9)\/1. What is the first derivative of -4*x + z - h*x + 10 - 11 wrt x?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9534938, -19069890, -28604842, -38139794, -47674746?\n\"Answer: -9534952*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 38368.88l?\nAnswer: 38368880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + -46. Let r(k) = -3*k + 10. Determine r(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 58*t + 2 + 32*t to j*t + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-92)\/(-23) - 11\/2). Let v be 1\/(-4 - s\/(40\/84)). Let r(a) be the first derivative of -a**4\/4 + 4*a**3\/3 + 3*a**2 - 3*a + 2. Give r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -109?\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 - 16. Let a = -172 - m. What is the highest common factor of 81 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**(1\/16)*q*q\/q**9*(q*q**0)**(1\/30))**(2\/27) assuming q is positive.\nAnswer: q**(-1207\/3240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i\/i**11))\/i)\/i**(-33)*(i*i\/(i\/(i*i**(10\/7))))\/((i\/i**(20\/7))\/i) assuming i is positive.\nAnswer: i**(352\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + 25*l**2 - 63*l - 1119. Determine i(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d**2 + 0*d**2 + 5*d**2)*(-1206 - 2*d + 1206) in the form q*d**3 + o*d**2 + b + r*d and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 738417?\nAnswer: 3, 47, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 11*l**2 + 169*l + 3033. What is v(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -1)\/((-3)\/(-2)). Solve u*n = 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -960869 by 3.\nAnswer: -960869\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169.1 - -180. Let u = g - 11. Which is the closest to 1? (a) 1 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/12 + (-7)\/3. Put d, 0, -1 in descending order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -43, -89, -161, -265, -407, -593, -829?\n\"Answer: -g**3 - 4*g**2 - 7*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -16250*(-3 - 13). What is v rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/32 + (-5)\/6)\/(728\/(-252))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8194*l - l**3 + 8194*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 2*u**2 + u**2 + (-2 + 0 + 0)*(16*u + 20*u - 38*u - 37*u**2).\nAnswer: 73*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 12. Let d = -4 + -1. Let k be s(d). Solve -3*l = -2*u - 8, -4*l = -l + 3*u - k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*q + 444, 2*q - x - x - 220 = 0. Suppose -7*o + 3*o = -q. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1875775 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g. Let w(j) = -268*j**2 + 7*j. Let z(n) = 262*n**2 - 6*n. Let o(u) = 6*w(u) + 7*z(u). Determine o(p(a)).\nAnswer: 2034*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 26*o + 41. Let a(s) = -5*s**2 - 77*s - 124. Let w(g) = 3*a(g) + 8*d(g). What is the lowest common multiple of 54 and w(25)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 - 0.4. Let c = -788 - -787. What is the third smallest value in c, 0.02, i, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 4*t = -6*i + 13, 0 = -3*i - t + 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 3}. What is prob of picking 2 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 7*k**2 - 3*k - 14. Let h be p(-7). Suppose -h*z - 31 = -8*z. Suppose 172 = d + z. What are the prime factors of d?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10609*z**2 + 10602*z**2 + 2*z - 2*z. Let o(j) = 15*j**2 - 10*j - 5. Let h(f) = 8*f**2 - 6*f - 3. Let s(p) = 5*h(p) - 3*o(p). Determine s(t(l)).\nAnswer: -245*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-14)\/(-3) - (-12)\/(-18). Suppose -4*s + g - 12 = -4*g, j*s + g - 12 = 0. Suppose s*c + 3*c - 900 = 0. What is c rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/(-6) + (-333 - 59340\/(-180))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 5*x + 5*w - 8*w, 2*x - 11*w = 125. Solve -59*p = -x*p + 322 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-231)\/(-154))\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 37 = -2*a, -2*a + 4*c + 12 = -4. Let m = a + -14. Solve -g - 5*v = -2*v + 13, m = -5*g - v - 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1112158444 divided by -2\nAnswer: 556079222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 761*m**3*y**5 - 3*m**3*y**2 - 2*m**3*y - 29*m**2*y - m*y + 3*y**2 - 27 wrt y.\nAnswer: 15220*m**3*y**3 - 6*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2 + sqrt(68)\/(-2*sqrt(4)) + 5*sqrt(68)\/sqrt(4))**2 - (5 + (-3*(sqrt(2057) - (-2 + sqrt(2057))) - sqrt(2057)) + -5).\nAnswer: -7*sqrt(17) + 1437\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-2360)\/4425*-3*2\/(-4)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o**4 + 1542*o**3 - 32139*o**2 + 110532*o - 104604 = 0. Calculate o.\nAnswer: 2, 23, 379\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**4 + 3 + 84254*g**2 - 2 - 42139*g**2 - 3*g**3 - 42136*g**2 - 3*g + 1 to a*g + c*g**2 + w*g**4 + f + l*g**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133191?\nAnswer: 1133191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*p**2 + 75*p**2 - 18*p**2.\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17316 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45*-3)\/((-328)\/(-615))*204\/(-17)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5880 and 20580.\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*s - 144*s + 12*s**2 + 46*s + 2 + 6*s**2.\nAnswer: 18*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/4*(12 - 546\/45).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(0 - 2\/62). Let p be 4\/6 - w\/3. What is the tens digit of (-8 - -7)*p\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49529 - -99520. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/453 or 1?\nAnswer: -2\/453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 y when three letters picked without replacement from {d: 1, y: 2, l: 7, f: 2, m: 7}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -8. Let f(y) = y + 4. Let s be f(q). Let a(x) = -x**3 + 57*x**2 - 160*x - 90. Let g be a(54). What is the greatest common divisor of s and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1775281ml?\nAnswer: 0.0001775281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*y + 707 = -y, -d - 4*y = -240. Suppose 494 = 5*a - d. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 3*d**2 + 6*d + 6. Let f(i) be the first derivative of i**3\/3 - i**2\/2 - i + 1. Let a(x) = -4*f(x) - h(x). Give a(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 < 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:21 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -175, -169, -151, -115, -55?\n\"Answer: u**3 - u - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*z + 224 - 228 + 2*z)*(-z**4 - z**4 + z**4) + (-4*z**3 - z**3 + 6*z**3)*(-z**2 + z**2 - 2*z**2)*(0 - 1 + 0).\nAnswer: 9*z**5 + 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + 4*r**2 + 3*r - 4. What is s(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.19, 8\/3, -410 in decreasing order.\nAnswer: 8\/3, -0.19, -410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 1, k: 1, u: 1, p: 4}. Give prob of picking 1 p and 1 s.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -54*z + 109. Give p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 867 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -81. Suppose 4*s - k = 72. List the prime factors of 110 - 8\/s*10.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 16\/3*3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15854 + -14329. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m + 108. Let y = m + -18. Solve 2*x**3 + y*x**4 + 4 - 22*x**2 + 3*x + 4*x**3 - 9*x = 0.\nAnswer: -1, -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, c: 7}. What is prob of picking 1 c and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/(-6) - 1\/(-2). Let s = h - -3. What is w in -4*w**2 + 3*w**2 - w - s*w**2 + 2*w**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1259483*w**6 + 7499956*w**2.\nAnswer: 151137960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192, 811, 1878, 3393, 5356?\nAnswer: 7767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -43838*s**3 + 39*s**2 + 35*s - 2. Let j be z(-1). Round j to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -409*n**3 - 102*n**3 + 216*n**3 + 2*n**3 - 3*n**3 - n**3 - 3*n**2 - 2*n**3 + 3*n**2 + (n**2 - n**2 - 2*n**2)*(4*n - n - n) + 2 + n**3 - 2.\nAnswer: -302*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 91*o - 14 - 4 + 3*o**3 + 10*o**2 + 17*o**2. Let v be l(-23). Sort 9, v, -4, 0.\nAnswer: -4, 0, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*u + 10 = -24, -4*u - 28 = 2*d. Is d < 4.509?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1010, -2387, -3748, -5087, -6398?\nAnswer: -7675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowoooolooooolio. What is prob of picking 1 l, 1 o, and 1 w?\nAnswer: 11\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 32. Suppose s = 3*i - c - 175, 4*i - 3*i = -3*c + 55. List the prime factors of i.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**2 - 11518*b\/5 + 11468 = 0.\nAnswer: 5, 5734\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -37 (b) 1 (c) -2\/17 (d) -6\/7 (e) 52\/3 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-15) - 3\/15.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10156288 divided by 1.\nAnswer: 10156288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24845342 divided by 2347.\nAnswer: 10586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16230973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84773883?\nAnswer: 3, 17, 23, 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/6*((-16)\/(-40))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/592 and -101\/426344.\nAnswer: 31549456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 7:39 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 6, -3*k + 24 = 4*a. Suppose 0 = -o + 3*o - 3*c - 4, k*o = 5*c + 10. Suppose -2 = -4*p + 6. Solve -p*w - o = -7*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(24)\/sqrt(6)) - (2 + sqrt(11) + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 13. Let i be a(6). Solve -3*b + 7 = 2*d, -3*d + i = 4*b - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1584926649 rounded to four dps?\nAnswer: 0.1585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) 5 (b) 3\/4 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 52.008. Let s = u - 0.392. Which is the second biggest value? (a) s (b) 4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00199954 + -0.002. Round c to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27401794 - -0.04381168.\nAnswer: 27401794.04381168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -118, -170, -222, -274, -326?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1008) + sqrt(1008) + -2)**2 - (-4*sqrt(1008)*-1)**2) + -2.\nAnswer: -12091 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + k**3 - k - 6*k**2.\nAnswer: k**3 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 36293*a + 36294 = 0 for a.\nAnswer: -36294, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-51*p**4 + 21*p**4 - 131 + 27*p**4).\nAnswer: 3*p**4 + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, f: 3, n: 3, y: 1}. What is prob of picking 4 s?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 379, 1617, 3679, 6565, 10275, 14809, 20167?\n\"Answer: 412*z**2 + 2*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 13?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -105*r - 596. What is n(-6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1723, -1, -4, 3.\nAnswer: -1723, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11260665397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -855 or -247637\/290?\nAnswer: -855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/10)\/((-4)\/8). Let f be (-1037)\/34*(p + -1). Let w = 365\/6 + f. Is 0 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 2. Let m be q(2). Which is smaller: 2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 136 (base 9) to base 7\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397*n - 398*n = 2*v + 2, 0 = 4*n - v - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 8*j**2 + 12*j + 5. Let b(t) = -t**2 - 1. Let h(g) = 2*b(g) - c(g). List the prime factors of h(-9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 149, 299, 451, 605, 761, 919?\n\"Answer: j**2 + 147*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*n**2 - 2)*(3 + 2*n - 3) + 0*n**3 - 9*n**3 + 2*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(57739\/1479 + -39 - (-200)\/102)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*s**3 + 267374*s - 41*s**3 + 520*s**3 - 270117*s + 1 wrt s?\nAnswer: 2652*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2736*-0.26.\nAnswer: -711.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(275) + sqrt(55)\/(sqrt(5) - -1*sqrt(5)) + sqrt(11) + -2 + -5.\nAnswer: -7 + 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-2\/7)\/f)\/(f**9*f))\/(f**(-2\/7)*f)**(2\/119))\/((f**(-1)\/f)**13*(f**4*f)\/((f**(-7)\/f)\/f*f)) assuming f is positive.\nAnswer: f**(1418\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 203*a**5\/5 - 209*a + 253. What is the derivative of y(s) wrt s?\nAnswer: 812*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000112 rounded to 6 decimal places?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 1. Let n be b(3). Suppose 3*t - t = 4*r - 84, -2*t = 3*r - 49. Find the common denominator of 131\/6 and (r\/n)\/(2\/6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 2*i - 2. Let k be m(-2). Suppose 0 = a - 4*j - k, a = -a + 4*j + 16. Put -4, -1, a in descending order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 1. Let g be c(-1). Suppose 0 = g*m + j - 9, 4*j = -2*m - 3*m + 30. Let t(f) = -f**2 + 4*f. Give t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*30\/(-6).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*f - 107*f = 181*f - 8896 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99612178.\nAnswer: 2, 59, 317, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -124, -1018, -3750, -9238, -18400, -32154?\n\"Answer: -153*w**3 - w**2 + 180*w - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 51*a**2 + 107*a - 5457. Let d be x(51). Suppose 0 + 2\/19*m**3 + d*m - 2\/19*m**2 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:15 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 8:53 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24*y**2 + 3*y - 277 with respect to y.\nAnswer: -48*y + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 327*n**2. Let q(s) = -2*s**2 - 10. Let v(x) = -1. Let d(f) = -q(f) + 10*v(f). Give g(d(o)).\nAnswer: 1308*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 71020697?\nAnswer: 14204139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 7*i + 15 = -4*i, 339*d - 24 = 343*d - 3*i for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*q - y, -3*q - 5*y - 3 - 2 = 0. Solve -t = 9 - 7, -q*k - 2*t = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*v - 743014 = 217*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/24)\/(105\/(-700)). Sort -1, t, 1, 245, -4 in descending order.\nAnswer: 245, t, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of x**4\/12 + x**3 - x**2\/2 - 36*x. Give z(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2290 is divided by 64?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/140 and (-26)\/(-35)*(4303\/(-364) - -12).\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226871137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 4, 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 22. Suppose g + v*l - 3 = 0, 5 = g + 4*l - l. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -2*q - 27 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -45 - -39 - ((1 - -15) + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gokgoooogggqogf. What is prob of sequence kfq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 848\/333 - 20\/9. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -17795421?\nAnswer: 17795420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1326664, -2653306, -3979940, -5306560, -6633160, -7959734?\nAnswer: -9286276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*l - 7 = -0*l, l = 4*c - 5. Let k(f) = 4*f**3 - 2*f**2. Let r(n) = n**3 - n**2. Determine c*k(w) - 2*r(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*d - 194 - 11 = 0, -4*i + 165 = 5*d. What is the highest common divisor of i and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4130.67731828288 and -0.3.\nAnswer: -4130.97731828288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8431 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**5 - 18*r**4 + 36*r**3 + 71*r**2 + 3*r + 9 wrt r.\nAnswer: -120*r**2 - 432*r + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 741 = 11*k + 5*u, 4*k + 3*u = 1017. What is the greatest common divisor of k and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(133) - (sqrt(133) - (sqrt(133) + sqrt(133)*-3)))*-5)\/(sqrt(252)*2).\nAnswer: 3 + 5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21\/212?\nAnswer: -21\/212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 = 1559*q - 757*q - 731*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3, -119, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**2 + 6*u + 8 = 0. Calculate u.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 1:49 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -31, -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -54 + 9. Is (-3)\/j*5\/(15\/(-12807)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*o + 24, 0 = -2*o + t + 3 + 3. What is the least common multiple of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -4. Let g be (-1)\/2*(-32)\/232. Let u = g - -25\/58. Which is the nearest to 0.1? (a) l (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 8*r + 31108, -198*w + 4*r + 23329 = -195*w. Calculate the greatest common divisor of w and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j + 8. Let y be 4\/(-8) + (-2)\/(-4). Suppose 3*a = 5*a - 8. What is the smallest common multiple of a and s(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/40*2\/(-12)*-15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 22789?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 - (-129)\/9. Let l be (-3006)\/(-63) - (-4)\/v. Suppose -p + l = 3*p. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1962 - -3431. What are the prime factors of h?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71176 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 + 5*r**2 + 14*r - 13. Give u(-4).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 780285 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12*3)\/((-224)\/(-256)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. Suppose -r*y + 2*y = -412. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17534\/1685 - -2\/337. Let p be ((-6)\/(-4))\/(3\/(-12)*1). Calculate the common denominator of (13 + p - 50)\/((-22)\/1) and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*m + 248 = 0, -5*h + 247 = 5*m - 7*m. What is the lowest common multiple of h and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -73*z - 5148. Give n(-68).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14674054.\nAnswer: 2, 349, 21023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 - 77*d + 94. Calculate n(-27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-10) - (11 - 11))*2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 - 5*v - 12. Let p(y) = -3*y**2 - 9*y - 25. Give 7*o(z) - 4*p(z).\nAnswer: -2*z**2 + z + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 4100 + 21*q - 4100.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 176, 440, 870, 1544, 2540, 3936, 5810?\n\"Answer: 13*n**3 + 5*n**2 + 158*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -695 - -711. Let r = 7 - 10. Let y be r\/6*(0 + 5). Put 3, o, y in decreasing order.\nAnswer: o, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((4\/(-10))\/((-4)\/10)). Let t be 1\/7*k\/3*3. Is t >= -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -17*k**2 - 6*k - 14. Let v be i(-4). Let z = v + 530. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431\/60 + -104\/15. Which is the nearest to 1? (a) x (b) 1 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(9)\/sqrt(3))*1 - (2*sqrt(5)*-1 + -3).\nAnswer: 3 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than 12914?\nAnswer: 12916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7138988761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3261709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39877, -39936, -40031, -40162, -40329, -40532, -40771?\n\"Answer: -18*w**2 - 5*w - 39854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43765314 to the power of 1\/2, to the nearest integer?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -64 - 52. Let w(k) = -4*k**3 + 56*k**2 + 15*k - 39. Calculate the remainder when w(14) is divided by m.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -56*k + 0 - 1\/2*k**3 - 1\/12*k**4 + 0*k**2 + 1\/30*k**6 + 3\/20*k**5. Factor i(q).\nAnswer: q*(q - 1)*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 3\/2 (c) -5 (d) 5 (e) 22 (f) 1\/6 (g) -457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1460 divided by 3.\nAnswer: 1460\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 539 = 6*f - 355. Let t = f - 133. Suppose -9 = -4*b + b. What is the remainder when t is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001876465 to 5 decimal places.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2320?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Factor -3*t**4 + 6*t**2 - 3*t + 6*t**2 - 9*t**h + 3*t**3.\nAnswer: -3*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 31. Let d = 20\/7 - 61\/14. What is the nearest to d in 4, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + 0*r + r)*(r**2 + r**2 - 6*r**2) - 21*r**3 + 5*r**3 - 23*r**3 + 4*r**2 + r**3 - 4*r**2 to z + g*r**2 + u*r**3 + w*r and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 899371, 3597491, 8094365, 14389993, 22484375, 32377511, 44069401?\nAnswer: 57560045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 + 3 + 0)*(3 - 7 - 1)*(3*r - r - r).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-10))\/((-2)\/(-10)). Let p = 391 - 389. Suppose -5*l + u*l + 123 = -p*j, 3*j + 204 = 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddh when three letters picked without replacement from hhhdhhhhdhhdhd.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 4*o - 26 = -9, 0 = 5*i + o + 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 smaller than -218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5874104866.\nAnswer: 2, 7, 19, 22083101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 344822*-108\nAnswer: -37240776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 50 = 4*x, -4*h - 2*x + 6*x + 100 = 0. Let u = 51 + -22. Let k = 42 - u. What is the remainder when h is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -160*q + 163*q + 13, -m = -2*q + 3 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -93. Find the second derivative of -9*j**2 - 2*j**z + 5*j**2 + 125*j - 41*j - 4*j**2 wrt j.\nAnswer: -24*j**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -20*c**4 + 6195*c**3 - 137230*c**2 - 1094895*c - 265050 = 0?\nAnswer: -6, -1\/4, 31, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 3)*(-15 + 46 + 36)*(r + r - r) + (1 - 1 + 1)*(r - r + 2*r) as f*r + i and give f.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-3724)\/(-42))*(-8*3)\/(-6).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 713573252 a multiple of 3844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.8 + 13.3. Let h = -12 + d. Which is the second smallest value? (a) 1 (b) 0 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 - 7\/20*b**5 + 9\/2*b**2 + 0*b**4 - 18*b + 0. What is the first derivative of c(j) wrt j?\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 8*g**2 + 18*g - 6. Give a(8).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -42, -67 in increasing order.\nAnswer: -67, -42, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -11399, -45674, -102795, -182756, -285551, -411174, -559619?\n\"Answer: y**3 - 11429*y**2 + 5*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -24*1*125\/(-15). Calculate the highest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169493, -169617, -169741, -169865, -169989?\nAnswer: -170113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94454 - 94453.880022. Let d = 0.04 + 0.08. Let f = l - d. Round f to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -88*y**3 + 2*y + 1. Calculate r(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113346 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.172 litres in millilitres?\nAnswer: 972172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3260303 + 3260303 - 5178*v + (2*v + 3 - 3)*(2 + 0 - 1) + 0 + 0 + 2*v.\nAnswer: -5174*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/(-4))\/(4413\/(-11768))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1338 and 5352.\nAnswer: 5352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-22)*z**6\/((z*z*z**(-2\/7)\/z*z)\/z) assuming z is positive.\nAnswer: z**(114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = -v, r = -4*v - 4*r - 32. Suppose -6*h + h = -1385. Let f = h + v. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.98 + 0.9. Let p = -0.38 - m. Let n = 4.9 + -5. Which is the smallest value? (a) p (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -3\/11, -1\/3, -0.2, 0.237, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -1205?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c. Let n(u) = -5*u**2 - 3*u + 3. Let d be (0 + 1)\/(2\/6). Let x(p) = -26*p**2 - 16*p + 16. Let m(w) = d*x(w) - 16*n(w). What is q(m(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 6 - 33\/2*m + 27\/2*m**2 - 3\/2*m**4 - 3\/2*m**3 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*q + 197*q + 12 = 3*t, -4*t + 5 = -3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1286 + 1285. Which is the nearest to 51? (a) 2\/9 (b) t (c) 2\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 1:43 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -13*x**4\/12 + 132*x. Let j(u) = 18*u**2. Determine j(d(k)).\nAnswer: 3042*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -14. Let d(v) = 84*v**3 + 3*v + 3. Let w be d(r). Round w to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from luuuuubll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 2*j**2 - 9*j + 1. Let d be a(-4). Let -2*t**5 - 4*t**2 + 6*t**3 - 84*t + 6*t**d - 5*t**5 + 4*t**4 + 79*t = 0. Calculate t.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -225*c**4 - 1185*c**3 - 1654*c**2 - 380*c - 24 = 0?\nAnswer: -3, -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * 0.751\nAnswer: 0.9012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181325 is divided by 181294?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 508 - 513. Put -2, -36, f, -4 in ascending order.\nAnswer: -36, f, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 38 = -5*w, 7*u + 2 = -w + 10*u. Solve 40 = -w*r + 15*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50192036.\nAnswer: 2, 41, 306049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 - 69816*x**2\/5 + 609004872*x\/5 + 4876508224\/5.\nAnswer: 2*(x - 17458)**2*(x + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2132 (base 4) to base 6.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18176?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (100\/(-105))\/(32\/(-28)). Let o(h) be the second derivative of 4\/3*h**3 + 0 + 1\/10*h**5 + 0*h**2 - c*h**4 - 31*h. Suppose o(x) = 0. What is x?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-33\/7)\/n**(-19\/2)*((((((n**(-27)\/n)\/n)\/n)\/n)\/n)\/n*n)**(-4\/11) assuming n is positive.\nAnswer: n**(2529\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**3\/6 - 2*b**2 - 4*b. Let g be q(-9). Solve w = 7*r - 3*r + 1, -g*r + 15 = 2*w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/(-2) + (-189)\/12 and (-1246)\/224 - (-2 + 1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 2*(-46)\/4. Let i = 11 - a. Let z be 3\/(-4) + (-453)\/i. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1218*u - 19*u**2 - 3*u**2 + 0*u**2 - 278*u + 23*u**2 as q*u + h + f*u**2 and give q.\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8066507 to the nearest integer?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 9, 7 in increasing order.\nAnswer: 1, 4, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.2, -1\/4, -30668, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 - 2. Suppose 15 = -5*l, 3*c - 28 = 4*l - 10. Suppose -4*p + 29 = 3*q, -c*p - 2*q + 21 = p. Let t(o) = -2*o + o + p*o - 2*o. Give g(t(u)).\nAnswer: -4*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1)**(-24\/7)\/(m*m**(-1\/3))**(-4\/21))**(-25) assuming m is positive.\nAnswer: m**(-200\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23*a**2 + 448*a?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*n + 46. Let l(h) = 3*h + 291. What is the remainder when l(-44) is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12201, 1, 4 in increasing order.\nAnswer: -12201, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, k: 8}. What is prob of sequence kzkz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191922337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d - 584 + 389 - 451 = 0 for d.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1858.\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -130*m + 613. Give w(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 2*n**2 - 2*n - 1. Let y be o(-1). Let a be 3\/(-2 - (y + -3)). Find w such that 0*w + 1\/5*w**2 - 1\/5*w**4 + 0*w**a + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in -16, -0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3099 + 3115. Solve -27 = 25*v - k*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from {b: 2, n: 1, z: 4, d: 6, m: 2, r: 2}?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 18 = -9*g - 5*z, 2*z = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from slishsl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6097*x**2 + 11129*x**3 + 11826*x**3 - 27756*x**3 wrt x.\nAnswer: -28806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 2 - 2)*(1 - 1 - 4*a) + (1 + 2*a - 1)*(-3 - 2 + 4))*(0*a**3 - 8*a**3 - 3*a**3) as r*a + q*a**4 + w*a**2 + j + n*a**3 and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192411486.7 rounded to the nearest one hundred thousand?\nAnswer: -1192400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - (15 + -28) - (11 - 3 - 13)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 2 + 4. Let p be 25\/10*o\/20. Let g = 4 - 3. What is the smallest value in 2\/9, p, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27457722.\nAnswer: 2, 3, 23, 29, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6 + 15*g + 14*g + 6. Let d(o) = 2*o**2. Calculate d(w(s)).\nAnswer: 1682*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -21\/2. Let n = -69 - -72. Let c be ((-11)\/2 - -5)\/(n\/(-18)). What is the second smallest value in z, c, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**7*n))\/n**(-16))**(-1\/3)*(n*n**0\/n*n*n)**(-35)*n\/n**(-2\/23)*n*((n**3*n)\/n)\/n assuming n is positive.\nAnswer: n**(-1585\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**16*c)**48*c**9\/(c**(1\/9)*c))**26 assuming c is positive.\nAnswer: c**(192790\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -6. Let t(y) = y**2 + 3*y - 2. List the prime factors of t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 41 + 32, -o = -2*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.402 - -5.1771. Let s = 76 - 75.764. Let l = a + s. Round l to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -4*p**3 - 1. Let a(g) = g**3 + 9*g**2 - 1. Let c be a(-9). Let r be n(c). Suppose r + 4 = x. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5943159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3))**(-1\/12)\/(f**(-1\/12)*f**11\/f) assuming f is positive.\nAnswer: f**(-359\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/((-6)\/(30\/5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, -105, 2 in decreasing order.\nAnswer: 5, 2, -12, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose 0 = -2*p - 38 - 34. Let k be (p\/(-15) - 3)\/(14\/10). Which is the closest to h? (a) k (b) 0.3 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*(x\/((x\/(x*x*(x\/(x\/x**(-6)))\/x)*x)\/x))\/x*(x**1)**(-1\/44) assuming x is positive.\nAnswer: x**(-485\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18, 94, 170?\n\"Answer: 76*l - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22236?\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28981 is divided by 13494?\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 9:48 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 9*w**2 + 84*w - 474. Give r(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -16 - (-1 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1*(18\/(-12) - 958\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-70)\/(-14)*(-1632)\/255?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -5*p**4 - 370*p**3 - 3860*p**2 + 130290*p + 416025 = 0.\nAnswer: -43, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29.24 - 28. Let k = z + -0.04. Let j = -0.8 - k. Are j and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 3*q + q + (1 - 5 + 2)*(1 - 2*q - 1) - 2*q + 3*q + 0*q)*(1 - 1 - 11)*(3 + 0 - 1) in the form z + o*q and give o.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + g + 2, 3*w - 108*g + 107*g + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 0*a - 2*j - 23 = 0, -5*j + 20 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Suppose -w*v + 635 = -2*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o - 8*o + 20*o as g*o + l and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6489*s + 3237*s + 35 + 3238*s - 3*s**3 in the form b*s + i*s**3 + v*s**2 + y and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -8. Let r be (-8)\/14*d\/2. Find the second derivative of -m**5 + 4*m**3 - 2*m**3 - 2*m**3 + r*m wrt m.\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/a)**12*a**(3\/5)\/a*a*(a\/a**(-2))\/a assuming a is positive.\nAnswer: a**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102 (base 5) in base 4?\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 5*m**2 + m + 6. Let f be j(-5). Suppose 0*o + 4*o - 32 = 0. Suppose -2*v - 2 = o. Put f, 2, v in increasing order.\nAnswer: v, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((0 - -3) + (4 - 6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 + 14*o - 22. Let n be k(2). Let j be (-21)\/14 - n\/4*-1. Let g be (16\/10)\/(j\/(-15)). What is the highest common divisor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415508.\nAnswer: 2, 109, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 0.9084.\nAnswer: 0.5084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8494 times -36?\nAnswer: 305784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvv. Give prob of sequence vr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7001\/4 + -1735. Let j = -138\/55 + -791\/110. Find the common denominator of j and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - 11?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 70070 and 291844.\nAnswer: 208668460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-214)\/(-10)*(-25)\/6. Let w = h + 89. Which is the third smallest value? (a) -1\/4 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*g**2 + 6018*g + 65822 wrt g.\nAnswer: -8*g + 6018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.38 - -0.62. Is u less than or equal to 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*((-10)\/15 + -4). Let f = s + 28. Let a(g) = -g**2 + 4*g + 98. What is the units digit of a(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(300\/354) - -7 and -17\/38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 7*t**2 + t - 10. Calculate k(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 13*z - 4. Suppose -5*h + h + 12 = 0. Let f be g(h). Suppose -4*k + f = 3*s, -3*s = 3*k + s - 28. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + (sqrt(637) + 5*(sqrt(637) + -1 - sqrt(637)))**2).\nAnswer: -1322 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10044 and 15\/1267466.\nAnswer: 205329492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3\/3 + 5*f**2\/2 + f - 3. Let g be d(-5). List the prime factors of 12 + (g - 4) + 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (1*sqrt(200) + 2 + 2 - (-3*(0 + sqrt(200)) - (sqrt(200) + -1*sqrt(200)*-4))))*-4)**2.\nAnswer: -72000*sqrt(2) + 6480400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 34 = 2. Let x = 11 + o. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3047*u + 791*u = 15634 - 982 + 250170 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 372660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 3*u + 6 = 4*f, 4*f + 16 = -2*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**3 + 2185*c**2 + 86*c**3 - 2185*c**2.\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**5\/4 + 11*h**3\/6 - 4*h + 6. Let a(f) be the first derivative of r(f). What is the second derivative of a(x) wrt x?\nAnswer: 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 12 = 18. Suppose 4*o - 3*o = 4*z - 10, -3*z + h = 0. Which is the third biggest value? (a) -0.4 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56629, 113320, 170075, 226894, 283777?\n\"Answer: 32*n**2 + 56595*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -82, -303, -738, -1459, -2538, -4047, -6058?\nAnswer: -8643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13549*k**3 - 3775.\nAnswer: 40647*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 15*r - 82*r - 2306 + 7652 = 0 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3, 13, 31, 57, 91, 133, 183?\n\"Answer: 4*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16855150 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 3389 = p - 3406, n - 11 = -p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21841150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 156795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (548\/(-3))\/(48\/(-360)*5). Which is smaller: t or 1908\/7?\nAnswer: 1908\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76923426 and 12660?\nAnswer: 769234260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 684.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1115 (base 6) to base 12\nAnswer: 19b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 5210\/250)*(-75)\/10.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224751797?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2927*0.184\nAnswer: 538.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*r**5 - 60*r**4 + 60*r**4 + (2*r**5 - 5*r**5 + 2*r**5)*(1 - 5 + 1) + 112*r**5 + 4*r**4 - 2*r**4 - 109*r**5.\nAnswer: 15*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1974 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhbhb. What is prob of sequence zh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c + 79*c + 659*c.\nAnswer: 763*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = t - 112. What is the least common multiple of 50 and t?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 56*p**2 - 196*p - 3348. What is the ten thousands digit of z(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273 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: Sort 8, -5, -4, -44, 5.\nAnswer: -44, -5, -4, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (56502\/511)\/258*7\/(-26)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -20*c - 9. Let s = 4 - c. Solve -4*n = 12 - s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15840.99955835 - 15841. Round g to 5 decimal places.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/10*(2 - 2). Let k = -1 - y. Let c = 11 - k. What is the greatest common divisor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 5835320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*g**5 - 3*g**3 - 127*g wrt g.\nAnswer: 1580*g**3 - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 482633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:47 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 13*h**2 + 92*h + 1030. Calculate o(-12).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**20)**(3\/13))**17)**25)**(-31) assuming c is positive.\nAnswer: c**(-790500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 942767, 942765, 942735, 942671, 942567, 942417, 942215, 941955?\n\"Answer: -z**3 - 8*z**2 + 29*z + 942747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/12 and -1*1*14\/35 - 4799\/(-13060).\nAnswer: 7836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 6*k**2 + k - 1. Let l = 7910 - 7563. Calculate the remainder when l is divided by v(-3).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11245.\nAnswer: 5, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 - 5*d - 7. Let b be h(3). What is the remainder when 488 - (5\/b)\/((-5)\/(-20)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 41 = -221. Suppose -5*t = -k, b - 3*t - 2621 = -0*t. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -47 - (14 - 24 - 55).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 - -160. Suppose j + 2*w - 27 = 0, 0 = -j + 6*j - 5*w - s. Suppose 0*c + 2*c - j = -u, 5*c - 62 = -2*u. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14201 or -14190?\nAnswer: -14190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42364 (base 8) to base 13.\nAnswer: 805b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31316 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2068 + 376*a + 2068 + 0*a + 0*a + a + a + a - 3*a + (-2*a + 0*a + 0*a)*(0 + 0 + 1).\nAnswer: 374*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2214*g**2*y**2 + 5*g**2*y - 288*g*y wrt y?\nAnswer: 4428*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 3*d**5\/40 - 15*d**4\/4 - d**3\/4 + 45*d**2\/2 + 933*d. Factor w(n).\nAnswer: 3*(n - 30)*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h + 18*h - 468 = 23*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-78)*1*14\/(-560)*-828.\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*y - 16*y + 45*y - 9*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(68)*2 + sqrt(68))\/((sqrt(12)*-2 - sqrt(12))\/sqrt(3) + sqrt(4)).\nAnswer: -13*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 137 - 163 = 4*k, 0 = -3*y + k + 24. Let h = 5 + 1. Solve -2*d = -y*n - h*d + 10, 0 = 2*n - 4*d + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1009 + 10?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-9)\/(-3) + 3 + -3. Solve 2*l = 3*k + 19, a = 5*l - 5*k - 0*k - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1188, 1185, 1186, 1191, 1200?\n\"Answer: 2*r**2 - 9*r + 1195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 0. Let z(l) be the third derivative of l**5\/60 - l**4\/4 - l**3\/6 + 3*l**2. Let j be z(6). Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 + 106. Let v(s) = -14*s - 3. Let j(w) = -30*w - 7. Let g(k) = 6*j(k) - 13*v(k). Determine g(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/33)\/(162\/(-99))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5568 and 6460736?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-58)\/(-5655)*-13)\/(2\/(-10) - 0). What is the third biggest value in -1\/9, 30, 2\/15, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9500, -9277, -9054, -8831?\n\"Answer: 223*r - 9723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11010111000000 (base 2) to base 13\nAnswer: 6356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -261*u**3 + 7*u - 12. Let z(a) = 174*a**3 - 5*a + 8. Let c(q) = 5*v(q) + 7*z(q). Find the first derivative of c(l) wrt l.\nAnswer: -261*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/18 - (-2)\/(-12). Let p = n - 8. Let k = -3 - p. Solve 4*z + k*c + 12 = -0*c, 4*c - 26 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (2 + (2 - 3) + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) -8\/391 (c) 4157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10398381 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: Let n(o) be the first derivative of 5*o**2\/2 + 395. Let m(p) = -207*p. What is m(n(f))?\nAnswer: -1035*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3162720*r**3 + 42*r - 622 wrt r.\nAnswer: 18976320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 3*g - g)*(-15*g - 17*g + 44*g) + 4*g - 2*g**2 - 4*g + (0*g - g + 3*g)*(-g + 0 + 0) - 5*g**2 + 2*g**2 + 2*g**2 as h*g**2 + k*g + r and give h.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4689549.\nAnswer: 3, 173687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -a40a95 (base 11) to base 10\nAnswer: -1670388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -2. Let t be (-4)\/(-10) - 520\/800. What is the closest to t in n, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-609)\/49 + 13)\/((-2)\/(-917))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 69\/(-12) + (-3)\/(-4). Let f be (-6 - -1) + (-3)\/(-3). Put f, y, 0 in decreasing order.\nAnswer: 0, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 33?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/7 (b) 4\/31 (c) -1\/78 (d) 5 (e) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -3. Let j(k) = 10*k**2. Let g be j(1). Suppose -g = -3*a + 17. Calculate the highest common divisor of v and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 5 (b) -134 (c) -2\/11 (d) 0.3 (e) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 166615 and 470?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3891*h - 52 = -3891*h + 4*d, h - d = 13 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let s = 1 + -2. Which is the third smallest value? (a) s (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*a, 2*a = 4*y + a - 2. Suppose y = 4*k + d - 111, -d - 8 + 3 = 0. Solve 5 = c, w = -3*w - 5*c + k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**2 + 3*j - 7. Let t be h(-5). Suppose 4*f = 2*p + t, -3*p = 2*f - 5*f + 27. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 + 80. Let u = 36 - z. What is the smallest value in 3\/10, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 8*v**4 - v**3 - 6*v**4 + 33*v**2 + 1 to the form r*v**3 + i*v + p*v**2 + a + c*v**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/4)\/(17\/(3264\/180) - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -5, -2\/3, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*(-10)\/(-15)*(-11)\/2. Let f = m - -67. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = -4*y - 525. Solve -12 = -4*b + 4*m, 0 = 2*b + y*m - 5*m - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002111 (base 3) to base 12.\nAnswer: -564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 48 = 3*d. Let s be (-2)\/7 + (-452)\/d. Let p be 1*8*(-2)\/(-4). Calculate the greatest common factor of s and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 10937*o - 5801302. What is m(-559)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + 301 - c**2 - 2*c - 150 - c**4 + 2*c**4 - 153 as q*c + r*c**3 + d*c**2 + h + z*c**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13489 is divided by 122.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 369*j**2 - 5*j + 5. Let g(s) = 105905*s**2 - 1436*s + 1436. Give 5*g(f) - 1436*y(f).\nAnswer: -359*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*d - 9. What is the highest common factor of 45 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1651333 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 divided by -68?\nAnswer: -473\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93797?\nAnswer: 11, 8527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -28\/5, 0, -5, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2405100 rounded to the nearest ten thousand?\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2771024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -206*k**3*x**3 - 101*k**3 + 2*k**2*x**2 - 2 wrt x.\nAnswer: -1236*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 406 - -1558. Suppose a = c - 8236. What is c rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -593 - -560 - (-3 + 100)?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 2. Let k(d) = -5*d - 14. Let p(i) = k(i) + t(i). Let l(f) = f + 8. Determine 5*l(q) + 2*p(q).\nAnswer: -q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -25*r + 25. What is the hundreds digit of k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r + 172 = 130 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/3780*3 - (-96)\/2880.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 7:24 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85.07 + 85. Let r = 1.02 - 0.45. Let h = r + z. Round h to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*f + w = -16*f + 53*f - 15, -3*f + 200*w - 216 = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 106*r + 2793. Determine i(-58).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*4*(-2)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -658*c - 12509. Give i(-20).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 0.8 (c) -4 (d) -51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0*n**2 - 3*n**2 + (-n - 3 + 3)*(0*n + 3*n - n) + (-4*n + 0*n + 2*n)*(5*n - 4*n - 2*n) + n**2 - 4*n**2 + 2*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262778*c + 262779*c + 262779*c + 262775*c - 1313886*c + 262775*c + 20*c**3.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89652 is divided by 82379?\nAnswer: 7273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + 4 - 5)*(-2 - 0). Factor -6*c**2 - 7*c**3 - 6 - 3*c**5 - 5*c**3 + 15*c + 0*c**3 + t*c**4.\nAnswer: -3*(c - 2)*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 12. Determine a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1924455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1215, -1229, -1257, -1305, -1379, -1485, -1629, -1817?\n\"Answer: -v**3 - v**2 - 4*v - 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7793\/5, 5, 247, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13497 - -13497.5. What is the closest to -8 in -0.2, w, -4, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -34453, 373, 2, 0 in increasing order.\nAnswer: -34453, -3, 0, 2, 373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 270*d - 3\/2*d**2 - 12150 = 0. What is d?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -136562.988542.\nAnswer: 136570.988542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(10\/11)*a*a\/(a*a\/a**9)*((a\/(a\/((a\/(a**(-1\/6)*a))\/a)))\/a)\/(a**25\/a))**(2\/51) assuming a is positive.\nAnswer: a**(-1051\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.304, -7, 1, -2\/217, 1\/2 in increasing order.\nAnswer: -7, -2\/217, 0.304, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -19 times 2102122\nAnswer: -39940318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6337540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*m*u - 2*m + 58727*u - 571431 wrt u?\nAnswer: 5*m + 58727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q**2\/3 - 1140*q + 3426 = 0. What is q?\nAnswer: -1713, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8150595?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/120 + 2*h**5\/15 - 7*h**4\/12 - h**3\/2 - 17*h**2. Is r(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158709\/16 - 9914. Find the common denominator of ((-2)\/16)\/((-9)\/804) and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 2*m. Let p be (-4)\/18 - (-96)\/(-54). Let f be g(p). Solve f = 3*k - 13*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1724.\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1689612*g + 1689775*g - 7172 = 0 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 31\/5 (b) 23 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5. Let k = -0.03 - -1.03. Let y = n - k. Which is the nearest to y? (a) 1 (b) 1\/2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:11 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 - 421?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 24*k**4 + 88*k**3 + 80*k**2 + 42*k + 6. Let t(n) = -8*n**4 - 29*n**3 - 27*n**2 - 14*n - 2. Let w(l) = -6*m(l) - 20*t(l). Factor w(d).\nAnswer: 4*(d + 1)**3*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 536*3\/336 - (11 - 6).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.09 - -143495188?\nAnswer: 143495173.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + -229 - 0) + 2. Let h be 10\/25 + o\/10. Let i be h\/(-143) - (-74)\/26. Let b(x) = x**3 - 5*x**2 + 4*x - 1. What is b(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -2. Suppose r*n + 2*p = 52, n = 2*n - p - 36. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -7. Let q be (2\/(-4))\/((-15)\/6). Which is the biggest value? (a) 1\/8 (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2. Let l(t) = t. Let m(a) = a - 2. Let f(w) = 3*l(w) + 2*m(w). Calculate f(b(z)).\nAnswer: 20*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 11*x**3 + 0*x**2 + 0*x + 13 + 7\/30*x**5 - 3\/4*x**4. Let v(o) be the third derivative of q(o). Differentiate v(s) wrt s.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 632*y**2 - 3*y**3 - 632*y**2.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49\/30, 145.7, 4\/9?\nAnswer: 145.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhiihh. What is prob of sequence hhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5300505 (base 6) to base 16\nAnswer: -3eb19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**6\/120 + v**5\/15 - v**4\/8 + v**3\/2 - 3*v**2. Let l be 6\/15 - 66\/15. What is the units digit of k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 7 = -3. Suppose -u + 4*d = 3*u, u - 10 = -4*d. Suppose -v*q = u*q - 48. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10)\/((-1)\/(-5)). Sort -2, 0, d in decreasing order.\nAnswer: 0, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8*f = f + 33. Solve 3*q + 15 = -f*p, -4*q + 9*q = p - 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:35 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let l(g) = 7*g + 7. Let i(x) = l(x) + 6*p(x). Let f(y) = y - 2. Let h be f(4). Give i(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 5*j - 4*v + 1359, -2*v = -j - 303. Let a be ((-42)\/4)\/(5\/(-40)*-6). What is the tens digit of j\/(-21) + (-4)\/a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (261\/(-174)*(84\/32)\/7)\/(-3)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29\/132 + -5\/44. Let d = 0.06 - -0.94. Which is the closest to d? (a) -13\/2 (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 50, -1, -5 in ascending order.\nAnswer: -5, -4, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 - 45*a + 133. Let l(w) = -692*w + 3. Determine l(h(s)).\nAnswer: -1384*s**2 + 31140*s - 92033","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/14, -0.2, 2, -1303, -1\/4, 0?\nAnswer: -1303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424578547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18321052 is divided by 321?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 631.3559 millimeters to kilometers.\nAnswer: 0.0006313559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -26*v**2. Let k(w) be the first derivative of w**5\/120 + 13*w**3\/3 - 10. Let n(r) be the third derivative of k(r). Determine h(n(y)).\nAnswer: -26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 + 2*g - 15. Is w(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3065*i*x - 4110*i wrt x.\nAnswer: -3065*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 + t. Let o be w(1). Let h be 1 + o\/(7\/(-13)). Suppose p - 1 = 2*p. Which is the closest to p? (a) 0.4 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 945731.4um to centimeters.\nAnswer: 94.57314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43 + 42. Let a(s) = -14*s - 4. Let g be a(k). Suppose g*x - 56 - 4 = 0. Calculate the remainder when 8 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o = 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -16. What is the third biggest value in -0.4, -4, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -449422*k + k**2 + 449422*k + 669 as n*k + f*k**2 + x and give x.\nAnswer: 669","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -5*z + 2*a - 15, 5*z - 3*a - 101 = 0. Solve z = -3*t + 4 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2793591 minus 0?\nAnswer: -2793591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*y - 111*y = 95. Let o(w) = 23*w + 139. List the prime factors of o(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113 - 23003?\nAnswer: -23121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*r + 24, -r + 2*v - 18 = 7*v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 20 = 5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143957266?\nAnswer: 2, 71978633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 123*g**2 + 2710*g + 87. Let r be u(-22). Let j = 0.02 - 0.07. Sort 22, j, -0.1, r in descending order.\nAnswer: 22, j, -0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 138\/4*2\/3. Let s = k - 15. Let f = 9 + s. Calculate the greatest common factor of 153 and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5470125883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 128747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10298*m**2*y + 1323*m*y + 22*y + 2064411 wrt m.\nAnswer: -20596*m*y + 1323*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 226.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, -4\/9, -1.6 in decreasing order.\nAnswer: 2.3, -4\/9, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + -15. Let x be (l\/2 - -3) + -3. Are x and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4555 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 105?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1938 and 59\/3701257?\nAnswer: 22207542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 3*a = 0. Suppose -3*o = -12, o = -2*m - a*m + 12. Solve 2*t - q + 2*q = 2, 3*t = m*q + 14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Let t(o) = 213*o**2 - 104. Let f(y) = 12*g(y) + 3*t(y). Differentiate f(z) wrt z.\nAnswer: 1278*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 20*r**3\/3 + 21*r**2\/2 + 68*r. Find the first derivative of p(u) wrt u.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -489\/3127 + 7\/59. Let h(y) = 5*y - 5. Let x(q) = -9*q + 9. Let g(k) = -11*h(k) - 6*x(k). Let i be g(2). Which is bigger: l or i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 16. Find the second derivative of -43*p - h*p**5 - 43*p - 99*p**5 - p**5 wrt p.\nAnswer: -2140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 3, 0, 8 in increasing order.\nAnswer: -0.14, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -230011, -230011, -230007, -229999, -229987, -229971?\n\"Answer: 2*x**2 - 6*x - 230007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 19*m = 60. Let b(d) be the first derivative of -d**2\/2 + d - 5. Let f(t) = 4*t - 1. Determine m*b(p) - f(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140.2 - 138.2. Which is the biggest value? (a) 139 (b) g (c) 1\/6 (d) 1\/9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -821 + 809. What is the tens digit of 2 + c\/4 + (6 - -906)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -39, -30, -7, 36, 105, 206, 345?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 86 and 47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 187245*q - 748979. Give k(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of j**5\/20 + 3*j**4\/4 + j**3\/6 + 2*j**2 - 3*j. Let a be f(-9). What is the smallest value in -3, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(2\/1 - 38\/20). Let q(x) = -x**4 - x**3 - x**2 - 1. Let l(p) = -5*p**4 - 10*p**3 - 10*p**2 - 10. Let n(i) = r*q(i) - l(i). Factor n(t).\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 33*o - 201. What is i(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2219468658.\nAnswer: 2, 3, 11, 29, 1159597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 o when four letters picked without replacement from {t: 6, o: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -25, 3*u - u - 3*f = 23. Solve h + u = -h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873.8 less than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/9 (b) -1\/135 (c) 0.6 (d) -7 (e) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/10 - 4)*-2. What is the biggest value in r, -0.4, 5, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, a: 3, z: 1}. What is prob of picking 1 a and 1 z?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12642.170827264 - -115.053828964. Let r = 12524.817 + b. Let y = -2.3 - r. What is y rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.903 (b) 0.05 (c) -2 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1426 a factor of 1290522262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - 7. What is the units digit of 180\/27*f\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 38935?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 4:19 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -74, -82, -94, -110?\n\"Answer: -2*d**2 + 2*d - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 93, -30 in decreasing order.\nAnswer: 93, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 4048?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 9049.88\nAnswer: 1809.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.7 + 11. Let k = 1 + s. Let z = -35 + 34. Put -2, z, k in increasing order.\nAnswer: -2, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -190367.\nAnswer: 7\/190367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/20*(-1)\/(-1*14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110687543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtr. What is prob of picking 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -749191\/108 - -6937. What is the common denominator of b and (-1)\/8 - (-24 + 27468\/1056)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42920847?\nAnswer: 3, 176629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2651.975 + -2623. Let l = j + -29. Round l to three dps.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -19. Suppose 8 = p + 3*p. What is the smallest common multiple of 0 - (-5 + (-2)\/p) and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/2 + -1)*-5. Suppose 27*u + 15*u = 7*u. Let p(m) = m**3 + 7*m**2 - m - 5. Let r be p(-7). Solve t*a + r + 8 = u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 23*j + 123. Let d be y(15). Calculate the greatest common divisor of d and 705.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -45*r**3 + 507*r**2\/5 + 492*r\/5 + 36\/5 = 0?\nAnswer: -2\/3, -2\/25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1345784 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*w + 106 = w, 0 = -2*g - 4*w + 162. What is the remainder when g is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -241513*a**5*g**3 + 55*a**5 + 449*a*g**3 - a*g**2 + 4*a*g - 3*a + 100 wrt a.\nAnswer: -4830260*a**3*g**3 + 1100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1222001 + 241004?\nAnswer: 2013010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 8. Let h be v(7). Let d be (2 - (4 - 3)) + 2. Solve -4*z - h = -p, p - 4 = d*p + 3*z for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121023023100 + 1021?\nAnswer: -121023022013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*j*s*v**3 - 2*j*s*v**2 + 93*j*s*v - 3*j*s + s*v**5 - 2*s wrt v?\nAnswer: 198*j*s*v - 4*j*s + 20*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 503.6 - 504. Which is the smallest value? (a) l (b) 16 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000986217 rounded to six dps?\nAnswer: 0.000986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -110?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 547497504 and 2304.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-183)\/234*(-70)\/(-875) and -26\/177.\nAnswer: 57525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 4 - ((15 - 29) + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7228133.\nAnswer: 11, 599, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45402452 is divided by 187?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -321.2, 0.4, 0, -3, -55?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 437511300 rounded to the nearest 100000?\nAnswer: 437500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*v - v - 3*v)*(0 - 2 + 1) - 6*v + 3*v + 2*v - 2 + 1 - 5*v + 2)*(-4 + 1 + 1) as d*v + j and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 1)\/(3\/2). What is the lowest common multiple of 8 and -4*2\/t - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 42, 12 in decreasing order.\nAnswer: 42, 12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**3\/7 - 34550*d**2\/7 + 1767576*d\/7 + 5613624\/7 = 0?\nAnswer: -17326, -3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 4*w + 6*w. Let o(n) be the first derivative of 7*n**5\/60 - 2*n**3 - 9*n - 37. Let p(s) be the third derivative of o(s). What is y(p(j))?\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:11 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52180 and 11986.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.273912\nAnswer: 0.136956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1291 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**3\/13 + 389526*x**2\/13 + 6721704*x\/13.\nAnswer: -2*x*(x - 48708)*(4*x + 69)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51.1 - 51. What is the smallest value in -9, -2\/3, a, 0.3?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32895624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 2*k + 2*k + 3*k - 2*k. Let y be w(-5). Suppose 0 = 4*t - y*t - 48. Solve t = 4*c - 0*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -3.8. Let q = 65.5 - 68.5. Put 1\/5, q, h in descending order.\nAnswer: 1\/5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -11\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 + 75*w**3 - 119*w**3 + 48440*w**2 - 48439*w**2 + 2*w in the form d*w + c*w**2 + z + f*w**3 and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13138 - 13138.23. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126 + -124)*((3 - 1) + 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 1. Suppose -3 = -4*w + 29. Let x be o(w). Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b + b - g, 3*b - 2*g - 4 = 0. Let o be 3\/((18\/(-3))\/(-2)). Let t be -34*o\/10 - -3. Is t greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/8 and -5\/38890248?\nAnswer: 38890248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 57, 112, 191, 294, 421, 572?\n\"Answer: 12*k**2 - 5*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c - 318 = 0. Let t = 197 - c. What are the prime factors of t?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 5*a = 0, 5*a + 5 = -0*l - 2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85328, 85337, 85346?\nAnswer: 85355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 152446769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 811*i**3 - 3017*i - 2 wrt i.\nAnswer: 4866*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 150 = 5*j, -3*q = -3*j + 125 - 35. Solve 5*k - j = 11*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-10)*(-15)\/3. Let j be x - (-2)\/1 - 2. What is the tens digit of (2 + j)\/(4\/(-92))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -210?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:31 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8778 by 627.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 621 + -281. Suppose j = 21*n - 4154. What is the remainder when n is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, w: 2}. Give prob of sequence vw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 6, 4*c + 2*p = 3*c + 57. Let k = c - 8. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 21523\nAnswer: 2\/21523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.64246ml in litres?\nAnswer: 0.00764246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -777*j - 239. What are the prime factors of f(-10)?\nAnswer: 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9 = a, -5*a + p = -a - 53. Suppose -2 = -2*l + 2*j + 12, -j = -3*l + a. Suppose -l*c + 7*c - 52 = 0. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29234 - 10572. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5480921664?\nAnswer: 2, 3, 709, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3552 = 3553 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkaaaaakaaakkaakaa. Give prob of picking 1 a and 1 k.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1*a*a\/(a*a**(-5\/2)))\/(a**(-6\/7)\/a**(-2\/9)) assuming a is positive.\nAnswer: a**(647\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.53 - 0.03. Let w = l + -1.1. Let k = -0.6 + 0.1. Which is the nearest to 0.2? (a) 1 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*v - 45, 0*z - 2*v = -z + 4. Let s be z\/(-8) - (-9)\/(-12). Suppose -k + 6 = -s*k. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 34109?\nAnswer: 68218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**3 - 154*u**2 + 3*u**3 + 154*u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (80 - 80 - 125*a)*(-2*a - 8 + 8) as f*a**2 + p*a + x and give f.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 277*c*d + 5*c*y**2 - 2*c - 2*d*y**2 + 2*d + 4869*y**2 - 145 wrt y.\nAnswer: 10*c*y - 4*d*y + 9738*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**4 - 39 + 26 - 7*u**4 + 2*u**3 + 3*u + 8 as n*u + b*u**4 + j*u**3 + t + m*u**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 20, 22, 24, 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4) + -4)*5\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 7. Let z(w) = w**2 - 17*w - 60. Let j = 253 + -233. Let f be z(j). Calculate k(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + (-2 - (504 - -4)))\/(-1).\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3462 = -6*d + 2304. What is the hundreds digit of 240\/96*(d\/5 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, 46.68, 104 in increasing order.\nAnswer: -0.3, 0, 46.68, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 1566, 2344, 3118, 3888, 4654?\nAnswer: 5416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4636 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s**(2\/11)*(s**1)**(-5\/13) assuming s is positive.\nAnswer: s**(-458\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15122075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -28*c**2 - 4*c + 1. Let g(q) = q**2 - q + 1. Give -4*g(d) + j(d).\nAnswer: -32*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/2)\/(4\/2). Suppose -9 = 2*p + y - w*y, 2*p - 1 = 3*y. Let o be p\/(-12)*771 + 4. What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32439016 is divided by 2358?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k - 51. Determine u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 20. Let m(h) = -h**2 - 8*h. Let d be m(-8). Suppose w*y = 5*j + 415, 2 + d = j. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6071740 (base 8) to base 12.\nAnswer: 653480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 8:26 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-10 - -5))\/(2\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 + 1733*q**2\/2 + 52081*q\/6 + 15627\/2.\nAnswer: -(q - 5209)*(q + 1)*(q + 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 1. Let t be m(1). Determine b, given that 27*b - 6 - 12*b**2 - t*b + 2*b + 2*b = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436 times 6\nAnswer: -2616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96062, 192082, 288102, 384122, 480142?\nAnswer: 576162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.71 + -9.71. Which is the nearest to n? (a) -0.02 (b) 0.5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 2. Let x be i(-4). Let q = -131 - -128. Let l = 0.2548 + -0.0548. Which is the nearest to q? (a) x (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (0 - 5 - 0). Suppose -w - l = 1. What is the remainder when 34 is divided by (-2)\/(-10) + (-59)\/w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 240 = -28*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 14) to base 2.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*b**2 - 99*b**2 + 2*b - 2*b.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5837 is divided by 85?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c - 1. Suppose 1 + 0 = z. Suppose -40 = -4*m + 84. Calculate the remainder when m is divided by f(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**3 - 70*n + 16*n + 54*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -100*i**4 + 102680*i**3 - 26398996*i**2 + 21069936*i - 4210704 = 0.\nAnswer: 2\/5, 513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3049 plus 96.8?\nAnswer: -2952.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103*g**4 - 5*g**3 - 1300.\nAnswer: -412*g**3 - 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 228*h**2 - 13527*h + 12752. Give a(-277).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47232 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00747028169 to six decimal places.\nAnswer: -0.00747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 3*h + 1. Let q = 0 + 16. Let m be (-11)\/(-2) + (-8)\/q. Suppose 23 = n - 2*r - 2*r, m*r = -3*n - 16. Determine o(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2135845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -262 + 261. Sort 5, 3, n, -2.\nAnswer: -2, n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + h + 2. Let f be 2*4 + 69\/(-23). Calculate z(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-7) + -2 + (-34)\/70.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + -1. Let q be z\/21 - 93\/(-21). Let n = -2 - -4. Solve 7*h + m = n*h + 14, -q*h = -2*m - 14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 95949?\nAnswer: 58\/95949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38263170 to the power of 1\/2, to the nearest integer?\nAnswer: 6186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30122*j - 1 - 1 - 2.\nAnswer: 30122*j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 3348?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20)*4)\/((-3)\/(-15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 11*c**2 - 10*c - 10. Determine n(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/4*592\/16280*-55.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26418 and 71243907.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 + 94 = -5*q. Let t = 96 + q. Let b(r) = -5 + 0*r**2 + r**2 - 2*r**2 + r**3 + t. Calculate b(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 2*s = 0, -3 = g - s. Let 2*a + 2*a**g - 6 - 2*a**3 - 2 + 6 = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5235\/46? (a) 3\/8 (b) 5\/4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/11 - 2*n**2\/11.\nAnswer: 2*n**2*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 1, -73945 in ascending order.\nAnswer: -73945, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.47 + -1.5. Let y = u + 0.03012. Round y to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*d + 12. Which is bigger: 12\/7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 8*y - 5*z - 13 = 0, -5*y = 4*z + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8944 + -6173. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90959.307 + -90908. Round x to 0 decimal places.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/(48\/800). Solve 2*y + 25 = 2*h + 3*h, 4*h + y = a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(77) - (1*sqrt(77) - sqrt(77))*1) + sqrt(77)))\/(6*-1*sqrt(7)*4))**2.\nAnswer: 11\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-8)\/(-122)) - 5. Suppose -c = -2*m + 212. List the prime factors of m.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**2\/11 + 1820142*x\/11 + 14561520\/11 = 0.\nAnswer: -8, 303365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 133010 plus 4067.50574?\nAnswer: 137077.50574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 26*c - 316. Let l(k) = 18*k - 317. Calculate -2*g(w) + 3*l(w).\nAnswer: 2*w - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146186107.5404003614 + -146186314.399. Let v = i - 0.1413900614. Let u = v + 207. What is u rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1115 (base 10) to base 14.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0 + 6*c**2 + 2 + 3 - c**3. Let t be b(6). Suppose 24 = 3*x - 3*a - 18, 0 = t*x - 2*a - 55. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o + 4. Let d be y(4). Let v be 1\/(0 - (-2)\/4). Put -1, v, d in increasing order.\nAnswer: d, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 9. Let n be i(7). Suppose -n + 1 = -g. Solve -g = -2*k - 11 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632346?\nAnswer: 2, 3, 11, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 7 + 23. Is (-1)\/(x + 2 - -5)*-299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**2 - 295*p + 603. What is the smallest common multiple of 21 and i(176)?\nAnswer: 74445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14733 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-2*2 - (sqrt(88) - 6*(sqrt(88) + 2*sqrt(88))))\/(3*-1*sqrt(648)))**2.\nAnswer: 1859\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.99 - -4. Let b = x - -0.59. Let c = b - 0.2. What is the smallest value in c, -0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4968 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 56, -896 in increasing order.\nAnswer: -896, 6, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let o(k) = -3*k + 411*k**3 - 3 - k**2 + 8*k + 0*k**2 - 412*k**3. Let t be o(h). Sort t, -3, 3.\nAnswer: -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 261008.44 and -978.\nAnswer: 260030.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 2917*x**4\/4 + 638*x**3\/3 - 272. Find the third derivative of k(c) wrt c.\nAnswer: 17502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -30 + 2720\/336*2\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 358, 320591, 4?\nAnswer: 320591","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2669?\nAnswer: -266b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -33416.5 plus -54.69672?\nAnswer: -33471.19672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2193490263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253221067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 smaller than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s + 1. Let c(w) = 3*w - 3. Let l(y) = 4*y - 5. Let d(v) = -8*c(v) + 5*l(v). Give 2*d(u) + 3*f(u).\nAnswer: u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 771327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**3 - w - 1. Let p be 3 - (-12)\/(-4) - -2. Suppose 3*g + 6 = -p*d + 3*d, 3 = d. Let r be 2\/(g - 1) - 0. Give h(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 773*g - 774.\nAnswer: (g - 1)*(g + 774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -5, -19, 16, -2, -28, 2 in decreasing order.\nAnswer: 16, 2, -2, -5, -19, -28, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50007168 divided by -2.\nAnswer: -25003584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/12 (b) -0.3 (c) -2\/59 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 0*b**2 + 3*b**2 - 5 + 2 to w + x*b + n*b**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 = 2*k - 3*f, -3*k + 10 = -2*f. Let -6\/5*j + 4\/5*j**k + 2\/5*j**3 + 0 = 0. What is j?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*d + 9 = j, 6*j - 1702818*d = -1702820*d + 46 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7 - 17 + 5*k - 5*k + 2*k**2. Let o be s(6). Suppose o = 5*u - 28. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12980.039156 - 12980. What is y rounded to 3 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/289539 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 30*y**3 - 47*y**2 + 239*y - 183. Let w(g) = -7*g**3 + 12*g**2 - 60*g + 46. Let j(u) = 6*p(u) + 26*w(u). What is n in j(n) = 0?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 3:52 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 82 = -s, 661762*s - 4*g + 30 = 661761*s - 2*g for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -222*u - 19639. Calculate b(-90).\nAnswer: 341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*w - t, -3*w = -t + 7 + 1. Let h(m) = 171*m + 38. Let z(s) = 19*s + 4. Let q(v) = w*h(v) + 19*z(v). Let x(r) = -4*r. Give q(x(b)).\nAnswer: -76*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 18*g**2 + 2*g + 4. Let p be t(13). Let j = p + -867. Calculate the remainder when (-2)\/7 + 662\/14 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5192, 12, -34, 0, -1.\nAnswer: -5192, -34, -1, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-2)*(-7)\/(56\/(-40)). Solve f = -j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 1. Let k be b(-2). Suppose 8*t = 9*t - k. Let x(w) = t*w - 115 + 115 + 2*w. Let n(y) = -y. What is n(x(q))?\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 39*t**2 - 780*t + 70. Give k(20).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 + 5*d + 2 - 6*d - 5*d. Suppose 11*b + 2 = -53. Let t be k(b). Which is greater: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = 73. Let g = -71 - p. Suppose -t + 19 = 2*x, 2*x - 4*x = -g*t + 62. What is the remainder when 48 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**3 - 2*r**2 + 3*r + 2. Suppose -2*h + 3 = 69. Let z = 31 + h. List the prime factors of i(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43674*17.\nAnswer: 742458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-84)*7 - (-3)\/9. Let h be (3 - 150\/(-36)) + v\/(-12). Solve 0 = -2*r - 4*b, -3*r + b = -7*r - h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**6*u)*u*u\/u**(-1))\/((u*u**0)\/u)**19)\/(u**(-6\/7)\/(u**(-3)\/u)*(u**(-1))**(3\/31)) assuming u is positive.\nAnswer: u**(-1529\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 1, 5, -0.4.\nAnswer: -3\/2, -0.4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -396. Suppose -469 - 1426 = -f*q. List the prime factors of q.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 47. Let h be (-8)\/(-2) + 26473\/s. Let o = h + 2648. Find the common denominator of o and 99\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(24) + sqrt(216) + sqrt(24))*-1)\/sqrt(8) + 4 + sqrt(3) + sqrt(36)\/(sqrt(84)\/sqrt(7)) + sqrt(24)\/sqrt(8) + sqrt(3) + 3)**2.\nAnswer: -14*sqrt(3) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1.8, 0.2, -1, 3, 611?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 113130, 226263, 339394, 452523, 565650?\nAnswer: 678775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9458\/19 - -498. Let y = -65\/38 + g. Which is the closest to -2? (a) 0 (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45, -56, -67?\n\"Answer: -11*l - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 6*h - 5. Let b be g(-7). Differentiate -4*m - 1 + 4*m - b*m + 3*m with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**2 - 2*b + 1. Let u(g) = 23*g**2 - 10*g - 51. Let w(o) = -6*a(o) - u(o). What is w(-13)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1592771, 1593007, 1593219, 1593395, 1593523, 1593591, 1593587, 1593499?\n\"Answer: -2*j**3 + 250*j + 1592523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p + 31*p - 1896 = 46*p - 716 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a - 12 = -18*a. Solve a*m + g = -4, -24 = -0*m + 4*m - 2*g for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 103 - -50. Let j = f + -153.00000722. Round j to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*b - x + 42553, -b + 14161 = -3*x. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-469)\/134*((-1)\/35)\/1\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and (-4)\/34 + (-5754)\/(-357)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 8:47 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m + 3*t = 33*m + 22, -6*t = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b**3 + 19*b**3 - 38*b**3 + 15*b**3 - 25*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:42 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 18 - 6. Let g be (v\/4 + -1)*2. Let m be (g\/2)\/((-3)\/(-384)). What is the greatest common factor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 5 - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0.2. Suppose 6*t - t = -130. Let u be t\/91 - (-10)\/84. Sort -0.3, u, k in increasing order.\nAnswer: -0.3, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 2*m. Let v be d(2). Let f be ((-18)\/8)\/((-1)\/v). Suppose 342 = 303*u - 264. Solve w = -u*w + f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6871988 + 6871988 - 62*v.\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04269? (a) 4 (b) -2\/105 (c) 5 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 63.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2768*i - 3451 = 2649*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.1 (b) -14 (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 715 + -718. Let o = -4 - -2. What is the nearest to 0 in o, w, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*l = 656*l - 12 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23290787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1874 = -112*a + 5234 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2033657 - 4?\nAnswer: 2033653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 17*u**2 + 5*u + 59. What is t(-5)?\nAnswer: 459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -7, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 257492677 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 57*j**2\/2 - 69*j + 24 = 0.\nAnswer: 8\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*n = 21032645 - 21030881 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/((v\/v**(2\/11))\/v))*v**(2\/9)\/v)\/(v\/((v**(-2\/3)*v)\/v)*v*v)**(-3\/10) assuming v is positive.\nAnswer: v**(139\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/3 (b) 4 (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3947 + 5*k - 1953 - k**3 - 1953 as f*k + d + q*k**3 + w*k**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6398 is divided by 2082.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - k, -11 = 5*s + 3*k + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:22 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1280 - -1278. Suppose 2*y - 3 - 1 = 0. Suppose 8*l - 11*l + 5*t + 25 = 0, 3*t = -l - 15. Sort l, q, y.\nAnswer: q, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -360 + 364. Solve 4*g = 4*d - 28, -d + m = -3*g - 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.5 - 17. Let s = 1.62 - w. Round s to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -13 - 13) + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**3\/2 - 5*f. Let u be d(5). Let g be (40\/(-6))\/(4\/(-18)). What is the highest common factor of u and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00842602265 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m - 4 + 7 + m**2 + m - m**3 + 0*m. Let p be w(-1). Solve -t - j = p, -t = -6*t + 5*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 519007*t**3 - 282*t**2 - 1288*t.\nAnswer: 3114042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 427956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*u - 17. Let n be (-7 - -6) + 2*1. Let d be n\/3*(3 + 0). Solve -4*p + u*y = 28 - 8, d = -p - y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k. Let z(u) = 815315870*u. Give z(o(b)).\nAnswer: 2445947610*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**4\/5 - 1953*x**3\/5 + 546009*x**2\/5 + 8593353*x\/5 + 8045394\/5 = 0?\nAnswer: -859, -14, -1, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000 - 10101?\nAnswer: 101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - (11 + -2) - (12 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.2943 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-2))\/(0 - -1). Let m = -1 + y. Let r = -7.4 + 6.4. What is the nearest to m in 5, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 667 + 2212 - 835 = 73*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 442, 918, 1428, 1972, 2550, 3162, 3808?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(-19))**(3\/7)\/(((h\/(h**(-2)\/h))\/((h*h*h**(-1\/3)*h)\/h))\/((h\/h**(-1\/9))\/(h\/(h\/(h\/h**(-1\/5)))))) assuming h is positive.\nAnswer: h**(-5617\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 17*k**2 + 17*k + 18. Let p be f(16). Let z be 22\/(-5) + -3 + p\/10. Calculate the remainder when z\/40*-716 - (-6)\/15 is divided by 21.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -375.11 - -366. Let g = -0.11 - j. Let v = g - 4. Sort -5, 2, v.\nAnswer: -5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/5 of a milligram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13252 = -k. Suppose 25700 + k = 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -11. Let b(u) = 2*u - 8. Let y be b(q). Suppose 0 = -5*l - 5*n + 5 - 0, l - 7 = n. Is y greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -40, 4, -90, -6, 22.\nAnswer: -90, -40, -6, -1, 3, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 855 - -3066. List the prime factors of s.\nAnswer: 3, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0720241336 to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 1, k: 1, x: 2}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396*t + 1365*t = 3369*t + 136400 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:48 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**5\/2 - 503*q**4 - 338*q**3 + 671*q**2 + 673*q\/2 - 168 = 0. Calculate q.\nAnswer: -1, 1\/3, 1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 61*q**2 + 58*q + 168. Give l(62).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -51\/2, -0.053, 1?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**3\/2 + 4*k**2 + 123*k. Calculate f(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 910, 914, 918?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3972912 take away -331452?\nAnswer: -3641460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1524 + 1523.7. What is the closest to 9 in r, -6\/13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 6:45 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 10*d + 3. Calculate the smallest common multiple of 18 and y(-7).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1026 and 4598?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5700*q**4 + 10*q**2 + 113251*q.\nAnswer: 68400*q**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 0*s + s)*(1294*s**2 + 415*s**2 - 175*s**2).\nAnswer: 3068*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17890 smaller than 17885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4542.19 kilometers to micrometers.\nAnswer: 4542190000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-39)\/(-6))*2. Suppose -115*t + 127*t = -336. Sort t, -2, v in increasing order.\nAnswer: t, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1*b**(-5)\/b)\/(b**(-2\/11)\/(b\/(b\/b**4))) assuming b is positive.\nAnswer: b**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 900978645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-168))\/(465\/(-2604))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 9}. What is prob of sequence llll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -131 + 312. Let g = m + -178. Let o(i) = 2*i**2 + 4*i - 3. Let d(r) = -3*r**2 - 8*r + 5. What is g*d(k) + 5*o(k)?\nAnswer: k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n - 1. Let t(x) = -x**2 + 13*x + 51. Let k be t(16). Let g(b) = 24*b + 6. Give k*g(q) + 14*h(q).\nAnswer: 2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, 0.3, 3 in descending order.\nAnswer: 5, 3, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o**2 + 12. Let s(l) = -10*l**2 + 23. What is -5*g(m) + 2*s(m)?\nAnswer: 5*m**2 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10509*u - 4260*u + 7451*u.\nAnswer: 13700*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 5*x**3 - x**3)*(-2 + 2 - 5*x).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Let v(n) = 5447*n. Calculate r(v(z)).\nAnswer: 59339618*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -9649993?\nAnswer: -8\/9649993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * -3549.\nAnswer: 173901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 118045, 236070, 354081, 472072, 590037, 707970, 825865?\n\"Answer: -j**3 - j**2 + 118035*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.24071 times 5?\nAnswer: 2031.20355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -309 + 306. Calculate the common denominator of 432\/64*(l + 21\/18) and 12\/61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -41232?\nAnswer: 41300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.43? (a) 3 (b) 2 (c) 5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108899348 and 6228?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/18 and 81\/206?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008238159562 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:41 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 6*p + 12. Let w be o(7). Suppose -w*h + 4*h = 0. Solve l = -h*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(6\/56 - 0). Suppose 55 = 5*x + 485. Let r = x - -170. Calculate the highest common divisor of r and h.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6874883478 and -0.1.\nAnswer: -6874883478.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031120 + -112212?\nAnswer: -1203332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 6*j**2 - 10*j + 1. Calculate t(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -25. List the prime factors of h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1125123 millilitres to litres.\nAnswer: 0.0001125123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -232, -3 in decreasing order.\nAnswer: 5, 4, -3, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*h + 12, k + 12 = 3*h + 8. Which is the closest to -37? (a) k (b) 0 (c) 3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 5. Let z(b) = 2 + 16*b - k*b + b**3 + 0*b**2 - 2*b**2 - 3. Give z(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270828 is divided by 2334?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 14*a**2. Let w(i) = -61*i. Calculate w(u(q)).\nAnswer: -854*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115280 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -117*z**7\/7 - 68*z**3\/3 + 10. What is the third derivative of k(j) wrt j?\nAnswer: -14040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -438397 - -406393976\/927. What is the common denominator of m and 13\/21?\nAnswer: 6489","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110 (base 2) to base 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 - -60. Let b = 38 + d. Let y be 20\/(3\/(9\/(-3))). Which is greater: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 452857950 to the power of 1\/3, to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 513*i + 5888 + 3346 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 640 = -93*n + 175. Put 2\/33, n, -0.1, -6 in descending order.\nAnswer: 2\/33, -0.1, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + -108743?\nAnswer: -108739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 37*o**2 - 53*o + 35. Let s be k(17). Solve 3*p = 2*p + s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p + 30 = 4*y, -4*y + 18 = -p. Let j = y - 0. Suppose -5*x + 3*u + 474 = 0, -j*x + u = -0*x - 468. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.213 times 97.07?\nAnswer: -20.67591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 40842 or 41625?\nAnswer: 41625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1016 and 1?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/80? (a) 3 (b) -2\/21 (c) -0.1 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3654 and 17991078.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -5417, 0.1 in ascending order.\nAnswer: -5417, -0.06, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 3*w**2 - 2*w - 4. Let s be b(-3). Suppose 3*h - 2*h - s*i = 325, -4*h = -4*i - 1312. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 5*u + 2*u + (2 + 1 - 4)*(12*u + 16 - 16).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 14.19. Let b = i - -0.01. Round b to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 + -8b8bf?\nAnswer: -8b8f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 19, -3, 3, 4 in descending order.\nAnswer: 19, 12, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 124601537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40181, 80367, 120549, 160727, 200901, 241071?\nAnswer: 281237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)*b*(((b\/b**2*b)\/b)\/b*b)\/b)**35 assuming b is positive.\nAnswer: b**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 21836220689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-14)*4\/5. Solve -4*p + 3*j = 9, -c*p + 0*p + 15 = 5*j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 4*l + 12 = 10*s, 2*s - 9 = -3*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 2*d**3 + d**3)*(3 + 2 - 2) + (-d + 2*d**3 + d)*(-4 + 2 + 3).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 3dac4?\nAnswer: -3daca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/9 in -1\/2, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -17200000*d**3 + 3*d - 3*d + 0*d. Let j be (2\/5)\/(20\/50). Let y be m(j). What is y rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**3*s**2 - 56*q**3*s - 7073*q**2*s**2 + 48*q**2*s + 615*q**2 - 23*q*s**2 + 3*q*s wrt s.\nAnswer: -18*q**3 - 14146*q**2 - 46*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 42 = c, 4*c = 4*g + 93 + 43. Let s = g + -2. Calculate the common denominator of ((-4)\/s)\/((-2)\/85) and 111\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2097 and -340500.\nAnswer: -338403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.734 to the nearest ten.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -111 - -68 - (-3 - 100)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb86 (base 12) in base 10?\nAnswer: -20694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 2*r + (1 - 4 + 1)*(-r - 2*r + 4*r) - 4*r + 4*r - r + 2*r - r - 2*r - r + 2*r + r)*(4 - 9 + 9) + 100*r + 133*r - 30*r.\nAnswer: 199*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1.15, -11, 2449, 0 in descending order.\nAnswer: 2449, 0, -1.15, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -97*j - 1041. Let o be n(-11). Solve 27*f - o*f = 0, -k = 5*f + 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/85 and -37\/153.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44.9*5975.1\nAnswer: -268281.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 293425*l - 2640862. What is t(9)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4746564.\nAnswer: 2, 3, 131849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-5 - (-4 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -251 (base 6) in base 11?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 2*v + 800. Suppose 5*d - v = i - 3*i, 5*d - i = 185. Let s = 18 - d. Find the common denominator of 75\/4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 9907\nAnswer: 2\/9907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010631 to six decimal places.\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -q - 370. Factor 0*z**5 + q*z - 80*z**2 + z**4 + 13*z + 12*z**3 + 15*z**4 + 2*z**5.\nAnswer: 2*z*(z - 1)**2*(z + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.8 minus -179.552930125?\nAnswer: 173.752930125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*c - 11632, 15*z = 18*z - 5*c - 8724. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 100\/141, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*i**2 - 390*i**2 + 129*i**2 + 130*i**2 + 11*i + 12*i to n*i + q + u*i**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/527 and 41\/3540758.\nAnswer: 60192886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/7? (a) 78 (b) -1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = 3 - 27. Suppose -3*g - 8214 = -3*u, 0*g = -u - l*g + 2730. Suppose 0 = -s + 5*f - 363 + u, 11925 = 5*s + 5*f. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((5 + -2 - -1) + 15 + -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2535 divided by 195?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 108403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56565 is divided by 1415?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13794)\/(-154) - 12\/21 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 7. Suppose f = 6*p - p. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40946450*x**2 - 1240946*x.\nAnswer: 81892900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 16*s**4 + 2*s**3 + 193*s + 2. Let k(z) = 29*z**4 + 5*z**3 + 387*z + 5. Let q(p) = -5*g(p) + 2*k(p). Find the second derivative of q(l) wrt l.\nAnswer: -264*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 10*b**4 + 7254*b**3 + 1125260*b**2 + 33178344*b + 13091760 = 0.\nAnswer: -522, -165, -38, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceefeceueueeef. Give prob of sequence ffu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 48 = -5*v + 5*y + 122, 5*v - 29*y - 1010 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.017539 - -0.8\nAnswer: 1.817539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3265149 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2160)*-2 - sqrt(2160) - sqrt(2160))\/(sqrt(24)\/sqrt(2)).\nAnswer: -24*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11787273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 - 31 - 15)*(-11 + 11 + 32*q) - 14 + 0*q + 12 - 3*q.\nAnswer: -547*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272491*g + 272498*g - 544989*g + 2 - 31*g**2.\nAnswer: -31*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 8:46 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.004 + 3.004. Let d = 16.02 - 16. Let t = -1 + 1.5. Which is the smallest value? (a) t (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1, 120, 1069 in descending order.\nAnswer: 1069, 120, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + 0\/4 + -3. Suppose -c = -2*s - 22, -4*c + a*s = -0*s - 73. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1544 + -976. What are the prime factors of w?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -3*j - 54. Solve -2*f = j + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -954, 467, 1888, 3309, 4730?\nAnswer: 6151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2178*f + 5. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/41619?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 10*f**2 - f + 12. Suppose 7 = 5*v - 18. Calculate the remainder when a(-10) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 526 = -706. Is a a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l - 6. Calculate the smallest common multiple of b(-5) and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 161.416 - 158.4. What is q rounded to one dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2 - 11700*j + 129226. Determine s(11).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 51322*r**3 + r**2 - 3*r + 2. Let j be w(1). Suppose j = -s - 3678. Round s to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5535 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 21?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27138408*c**3 - 190677920.\nAnswer: -81415224*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/2 + 3*f**4\/2 - 13*f**3\/2 - 11*f**2\/2 + 12*f + 10 = 0. Calculate f.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.028 - -21.028. Let d = -11.46924 + -9.530726. Let o = i + d. What is o rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024889903?\nAnswer: 577, 1776239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1831535094, 1831535093, 1831535092, 1831535091, 1831535090?\n\"Answer: -a + 1831535095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5419890 = -85*k - 5*k. What is the ten thousands digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -254 - -255. Suppose -4*c + 0*c = -40. Put d, 5, c in decreasing order.\nAnswer: c, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56575160017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 16. Suppose 4*s = -b - 13, -2*s = 3*b + s + 3. Solve k = -b*g - 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from psssbsupsbsp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(-1\/3)*l**(1\/9)\/l*(l\/(l\/(l\/l**(2\/5)))*l)\/(l*l**(-5)\/l)*(((l*l*l**2*l)\/l)**(-24\/11))**(8\/5) assuming l is positive.\nAnswer: l**(-586\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 669203966.9.\nAnswer: 669203969.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 939924 and 45928632.\nAnswer: 11604","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*((2 - 1) + -5). Let b = -1016 - -1012. Let z be 7*((21 - -3) + b). Calculate the highest common factor of x and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 4*h + 10, -7*n + 5*n + 3*h + 8 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**16\/t**(3\/10))\/(t**(11\/4)\/t)**33 assuming t is positive.\nAnswer: t**(-841\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200969 or 200967?\nAnswer: 200967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -16381\/78 = -209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)\/d)\/(d**4\/d*d))\/((d*(d*d*d**(3\/4)*d)\/d)\/(d**(-6)\/d)) assuming d is positive.\nAnswer: d**(-193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -25 - 9\/(0 + -3). Let j = o + 33. Let k = 15 - j. Solve -4*d - k = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1386, 17, -51 in descending order.\nAnswer: 17, 0.1386, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -543 - -208. Let v = -334.91 - o. Does -9\/7 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1326 + -0.12178. Round u to 4 decimal places.\nAnswer: 0.0108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 5*n + 3856 - 3881, 0 = -3*n + h + 13. Solve -n*z = 2*c - 18, 11*z = -c - z + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 232 and 1076?\nAnswer: 62408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 626908*t - 2507628. What is w(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 98193, 16.3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -99*x. Let f(s) = 6*s. What is j(f(i))?\nAnswer: -594*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 1. Let j be (-10)\/15 + 2490002\/g. Round j to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37323685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 150 - 949 + 2*t**3 - 773.\nAnswer: 2*t**3 - 1824","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 + 168*r - 477 = 0.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from {c: 7, o: 2, w: 6}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649502.\nAnswer: 2, 3, 91639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-407 + 407 + 950*c**2 + 7497*c**2)*(-2*c**2 + 0*c**2 + c**2) to x*c**4 + s*c**3 + h*c + q + p*c**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -494*m - 77394. Give z(-157).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 612, 2431, 5484, 9765, 15268, 21987, 29916?\n\"Answer: -m**3 + 623*m**2 - 43*m + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2713, 1394, 75, -1244, -2563, -3882?\n\"Answer: -1319*l + 4032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: (-168)\/(-9)*(-930)\/1240\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**0\/s)*s*s)**(-5\/14)*s*(s*((s**(2\/9)*s*s*s)\/s)\/s)\/s*s*s\/(s*s**(2\/9)))\/(s\/(s\/(s\/(s*s**(2\/11))))*s*s\/(s**(4\/7)\/s))**16 assuming s is positive.\nAnswer: s**(-2647\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36687, 73378, 110073, 146766, 183451, 220122, 256773?\nAnswer: 293398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*r - 4418 = 0, 5*q - 5*r - 2181 - 19809 = 0. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose 4*p + 3*x - 55 = 18, x - 67 = -4*p. Suppose -4*d + j*f + 16 = 0, -4*d - 2*f + p = -0*f. Solve d*a = -a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -6*p**3 + 5*p**2 - 14*p - 11. Let t(s) = 5*s**3 - 5*s**2 + 13*s + 10. Let k(c) = -7*t(c) - 6*v(c). Let q be k(-6). Put q, -2, 4 in increasing order.\nAnswer: -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29985456 divided by -1\nAnswer: -29985456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(-1\/11)*n))\/n)\/(n**(-4\/5)\/n*n)*((n\/n**(-1))\/n)**29 assuming n is positive.\nAnswer: n**(1469\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2*k**2 - 2*k - 13. Suppose -8 = 4*i - 28. Let s be (-2)\/i + 154\/35. Let a(v) = 2*v**2 + 6 + 4*v - v - 2*v - 3*v**2. What is s*g(q) + 9*a(q)?\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1626090 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.07.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222.2236 months to years.\nAnswer: 185.1853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*d - 62 = 0, -3*d - 36 = 2*w + d. Let j = w + 30. What is the first derivative of -12*r + 8 + 4 + j*r + 3 wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 = 3*f. Let l be -2 + 11 + (-1)\/f. Find the second derivative of -p - 2*p**5 + 8*p**2 - l*p**2 wrt p.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*q - 0 + 6, 4*l + 3*q - 15 = 0. Find the third derivative of -52*v**2 - 12*v**l - 36 - 4*v**4 + 2*v**3 + 34 wrt v.\nAnswer: -96*v - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454605347046 plus -7.6?\nAnswer: 1454605347038.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sslbidllslmbilsisb. Give prob of sequence bl.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 6 (c) 2\/5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49\/35 - ((-6)\/(-5))\/3. Let m = 374 - 375. Which is the nearest to m? (a) v (b) -1 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.7 - 1.3. Suppose -2*z + 13 = -5*t - 7, 3*z - 30 = -4*t. Suppose -z*i = 74 + 66. Put l, 0.2, i in increasing order.\nAnswer: i, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 - -4*(-4)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1172, 4631, 10374, 18401?\nAnswer: 28712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 1, -40, -2 in ascending order.\nAnswer: -40, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -12, -4 = 3*k - q - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 501*q - 1021. Determine b(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 + 4*t**2 + 4*t + t - 3. Let i be f(3). Sort i, 2, -3.\nAnswer: -3, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 282.\nAnswer: 9588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 1. Let c(d) = d. Let y(w) = 5*c(w) + p(w). Let r be y(-2). Let f be (-7)\/(-2) - 15\/(-10). Put 2, f, r in increasing order.\nAnswer: r, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*v - 2)*(4 + 1 - 6 + (-70 - 57 + 111)*(4 + 3 - 5)*(-5 - 2 + 1)) to the form x*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -0*t + 2*t. Let y(c) = 2*c - 1. Let n be y(2). Suppose n*q = -q + t. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -2123133?\nAnswer: -2123136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 110?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 1)*(-1 + 6 - 1)*(0*v**3 + 0*v**3 + 3*v**3) to c + m*v + h*v**3 + b*v**2 and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/5, 37632, -27.5, 0.06?\nAnswer: 37632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 80 - 362 = 0. List the prime factors of q.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -9.5?\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x + 8. Let z be -4 - 4*(-3)\/x. Suppose -z*u + 16 = t, -u - 40 = -3*u + 5*t. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 57034780 = f - 3*f, -5*f - 4*u + 142586950 = 0. Suppose 5*h - 3*d - f = -3017399, -5*h - d + 25500003 = 0. Round h to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 82412180?\nAnswer: -412060900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6 + 2. Let d(h) = -3*h**3 - 9*h + 7. Let i(q) = -2*q**3 - 5*q + 4. Let l(w) = n*d(w) + 7*i(w). What is the second derivative of l(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41511 (base 9) in base 8?\nAnswer: -65374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205675418 to the power of 1\/4, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285409?\nAnswer: 269, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8985331?\nAnswer: 29, 83, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1083*i - 22932. Determine y(-21).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 8:48 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 30. Let t be h(7). Let q be t\/(5*(-4)\/16). Solve -6*j + 10 = -q*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1443*q + 0 + 893*q - 1695*q - 1 to y*q + o and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**3 - f**2 + f - 1. Let b(n) = n**3 - 26*n**2 - 2*n + 62. Let u be b(26). Suppose -2*w - 2*w - 36 = 0. Let k = w + u. Calculate d(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2026 - 2026 - 385*t**3.\nAnswer: -385*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 648\/288*4\/15 - (3 - 388\/120)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 - 3*l - 4. Let a be g(5). Let i(j) = -a*j**2 - 6 - j**3 + 12 - 3. Is 16 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -957, -968, -979, -990?\nAnswer: -1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 12 (c) 3259 (d) -3.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -10. Let n be ((-12)\/(-15))\/(k\/5). Sort 2, -2, n.\nAnswer: n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -23*o**2 - 2798*o - 20065. Calculate i(-114).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -9*f - 14. Suppose -450 = -r - 3*s, -6*r + 2*r + 1821 = f*s. Does 9 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**5\/60 + 2*a**4\/3 - 19*a**3\/2 + 13*a**2 + a. Let o be x(9). Let r(s) = s - 4. Let k(w) = -2*w + 7. Give o*k(g) + 11*r(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:05 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 2, l: 2, s: 8, x: 1, f: 2}. Give prob of picking 2 v.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 3 (c) 0.4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b - 3*b - b + 21*b in the form j*b + c and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(300) + -1 - sqrt(300)) + sqrt(300) + sqrt(300) + -1 + -4 + -2)**2.\nAnswer: -120*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 6*x**2 + 16 + 4*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3.84560881+1.39688\nAnswer: -2.44872881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auuu when four letters picked without replacement from {a: 3, u: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 + 2*t + 4. Let a = 5 - 3. Let g = a - 1. Suppose -3*s + 4*n - 25 = 0, -3*s - 11 - 6 = -2*n. Let p(w) = w + 1. Give g*l(h) + s*p(h).\nAnswer: h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**3\/11 + 80*u**2\/11 - 1050*u\/11 + 4500\/11 = 0?\nAnswer: 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1dbad25b?\nAnswer: 1dbad258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*m**2 + 98 - 98)*(-5 + 2 + 2)*(-5*m + 38*m + 9*m).\nAnswer: -4158*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:59 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456439813?\nAnswer: 1619, 281927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*c**2*q**3 - 4*c**2*q**2 - 29*c**2*q + c**2*r + c*r + 60736*q**3 wrt c.\nAnswer: -48*q**3 - 8*q**2 - 58*q + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 263 + 59*h**2 - 152.\nAnswer: 59*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1. Let h(g) = -g - 3. Give h(f) - 2*o(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 - 6 = -3*y, 3*y + 3*v - 15 = 0. Let r be 21\/(-9) + (-2)\/3. Sort y, -4, r.\nAnswer: -4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 805077 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + m = 1, -2*j + 2*m + m = -13. Suppose -z + j = -3. Suppose -z*p + 48 = a, 2*a = -0*a - 5*p + 86. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -0.042, 0, -0.4, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, i: 13, b: 2}. Give prob of picking 3 n and 1 i.\nAnswer: 26\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k + 1. Let l be h(1). Suppose 0 = -l*s + 7*s + 52. Let g be (-4)\/16 - s\/4. Solve -2*f - g*f + 5 = 5*m, -m - 2*f = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 r when four letters picked without replacement from srrsrsrssssrssssrss?\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4434*k*r + 20*k - 2585228*r wrt k.\nAnswer: 4434*r + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - -5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*v**3 - 3 - 7*v**3 + 11 - 5*v - 22*v**3 to w*v + d*v**3 + c + n*v**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -117009338.\nAnswer: -4\/58504669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 53. Let a = r + -33.4. Sort a, 1, 2\/59 in decreasing order.\nAnswer: 1, 2\/59, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 193*d. Let v(w) = -22*w + 9*w + 11*w. Calculate k(v(q)).\nAnswer: -386*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00091925353 rounded to 5 dps?\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -d**4\/4 + 8*d**3\/3 - 4*d**2 + 10*d + 1. Let z(w) = 11*w - 58. Let f be z(6). Suppose -24 - 32 = -f*m. What is s(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 4222*w + 79876. What is d(19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 40 - 54)*(-q - q + 4*q) as c*q + i and give c.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*g - 10, 0 = -5*g - 95*y + 93*y + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -40*-0.1154\nAnswer: 4.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 525134042 (base 6) in base 10?\nAnswer: 9203786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/6 + 22124*l**4\/3 + 7375*l**3 - 22124*l**2\/3 - 44249*l\/6 = 0.\nAnswer: -1, 0, 1, 44249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*k - 37*k**2 - 11*k**3 + 8*k**3 + 33*k**2 - 197*k - 65*k to the form a*k**2 + w*k**3 + v + o*k and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/40 + m**5\/10 - 3*m**2. Find the third derivative of y(r) wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*f + 6. Let m(p) = p**3 - 3*p**2 - 3*p - 3. Let k be m(4). Let d be 10\/45 - (1 - k). What is the smallest value in f, d, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285*z**3 + 150*z**3 + 152*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34786 - -36526. What is the greatest common divisor of c and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565192, 565259, 565326, 565393?\nAnswer: 565460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 67157.\nAnswer: -86\/67157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -6\/2327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8579\/2616 + -4\/327. What is the common denominator of 8 + 0 + 56\/(-6) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2) + (-14)\/(-4). Let p = -306 + 309.94. Let f = p + 0.06. Sort s, f, 0.3 in descending order.\nAnswer: s, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 + -1 - 4) - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4320026 from 0.4373.\nAnswer: 4320026.4373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7.7 in -9, 0.2, -1, -16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 120 = -8*g. Suppose -5*j = -g - 35. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139.323941ms in weeks?\nAnswer: 0.0000018838028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1963 and -1.\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 35708 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 7*y - 4. Let x be t(6). Suppose 0 = -p + 5, 0*j - 23 = -x*j - p. What is the highest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-10) + (-5)\/(-2). Suppose -3*h + 6*h = v*k - 21, 0 = -3*h + 6. Suppose 0 = -q + 3 + k. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 373814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - 1. Let k = f + 6. Let -1\/3 + 0*o + 2\/3*o**5 - o**4 - 2\/3*o**3 + 4\/3*o**k = 0. What is o?\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 30\/611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*p - 8*t + 67 + 13 = 153*p, p + 40 = 4*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 396 and 3388?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59844 (base 12) to base 2.\nAnswer: 11101011001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 9*v**2 + 6*v. Let o(u) = 8*u**2 + 6*u. Let z(d) = -3*o(d) + 2*q(d). Let a(f) = -f**2. What is z(a(n))?\nAnswer: -6*n**4 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*x**2 - 31*x + 31*x + (4*x + 1 - 1)*(-2*x - x + 5*x) in the form p + t*x + k*x**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1585 + -1584. Put -5, 4, x, 5 in descending order.\nAnswer: 5, 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*j**3\/5 + 31*j**2 + 154*j\/5 + 16\/5.\nAnswer: (j + 1)*(j + 8)*(17*j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 8 - 8)*(-r**2 - r + r + 0*r**2 + 2*r**2 + r**2 + (-3*r + 3*r + r)*(3*r - 6*r + 2*r)) - 3*r**3 - 2*r**3 + 6*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 2*j - 64, 0 = 13798*f - 13795*f + 4*j + 48 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -27*b + 91. Suppose -15*n = 147 + 18. Calculate the remainder when x(n) is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 2*l - 5. Let y be n(-3). Let j(c) = 3*c**2 + 2*c - 2. Let u be j(y). Calculate the greatest common divisor of 48 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 18*g**2 + 7*g + 2. Is 37 a factor of m(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-45) - 4*(-1)\/30\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/3050899?\nAnswer: 1\/3050899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -110*n**4 + 2*n**3 + 1732*n**2?\nAnswer: -2640*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d + 17. Let b(m) = m + 1. Give -6*b(q) + c(q).\nAnswer: -q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1588201160 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 157170157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1173\/(-46))\/1*-2. Calculate the highest common divisor of 833 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 12590764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 547 * -248.\nAnswer: -135656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x**(2\/15))))\/x**(-3\/26) assuming x is positive.\nAnswer: x**(487\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3*n - 2 + 2)*(5 - 4 - 2) + n - n + 2*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3688 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = d + 2040. Suppose 4*w + 2*c - d = 0, -62 = 5*w - c - 682. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1173 - 26727.943742.\nAnswer: -27900.943742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064791 divided by -151?\nAnswer: -7064791\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -822203.7 rounded to the nearest one thousand?\nAnswer: -822000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2720747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 9:47 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d. Let g(w) = 2448*w - 2448*w + 9*w**2. Determine c(g(l)).\nAnswer: -54*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 7*h - 2*h)*(127*h - 130*h + 144*h) to the form y*h**2 + u + v*h and give y.\nAnswer: 705","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:57 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21934?\nAnswer: 2, 11, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 2*d + 2. Let h = -11 + 14. Suppose 3*u = h*a, 2 = 5*a + 12. Determine v(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -58. Let f = -5 - u. Let i(n) = n**3 - 26*n + f + 6*n**2 + 15*n + 17*n. Calculate i(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + 6. Suppose b*k - 8*k - 8 = 0. Suppose -2*m + m + 19 = u, k*m - 52 = 4*u. What is the remainder when 61 is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 20*o.\nAnswer: 5*o*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -67*(-3 + 6 - (7 + 7)). Let l = p + 347. List the prime factors of l.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/16)\/(11\/(-88)). Let p = 50 + -47. Put p, -6, 5, h in decreasing order.\nAnswer: 5, p, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 198.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108 + 111. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2110130 - -3310203?\nAnswer: 12020333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310980294?\nAnswer: 2, 3, 47, 113, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508 - -8630\/17. Let i = w - -19\/102. Let z = -134.9 - -135. What is the biggest value in 1\/5, z, i, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/6 + 3*d.\nAnswer: -d*(d - 18)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11\/205 + -24428\/615. Let m = -40 - b. What is the second smallest value in -0.5, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:39 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*w + 221 = -405*w + 2*x, -3*w + 6*x - 123 = 0 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 3*g**2 - g + 16. Give b(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 20*s**3 - 2*s**2 + s. Let p be f(1). Solve 0 = 5*x + 1 + p for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k - 7. Determine x(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 1. Let p(z) = 6*z**2 + 2*z + 2. Let i(j) = 5*g(j) + p(j). Let w be i(2). What is the closest to -1 in 1\/2, w, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 7*h - 2. Suppose 0 = -84*r + 93*r + 63. Determine g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -8*j - 3*q, 0 = 20305*q - 20304*q - 5 - 2 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231455152 by 4.\nAnswer: -57863788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -793 + 5554\/7. Let p = 5.4 - 3.4. Which is the nearest to p? (a) u (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51942428 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181057185?\nAnswer: 3, 5, 4023493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113832283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14402 - -21102. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -247469079*v**3 - 37679202*v**2 + 60300*v - 24.\nAnswer: -3*(13*v + 2)*(2519*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1605461 at most as big as -1605454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 398532919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 539887\/5950 - 1542\/17. Find the common denominator of a and 39\/1925.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20104220 and 4850?\nAnswer: 100521100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16246180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 4*h**2 + 118*h - 4. Let o(g) = -12*g**3 - 17*g**2 + 473*g - 17. Determine 2*o(v) - 9*p(v).\nAnswer: 3*v**3 + 2*v**2 - 116*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*s - 18 = 48. Suppose u - 2 = -s. Let r = 6.6 + -7. Which is the second biggest value? (a) u (b) r (c) -0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 1748?\nAnswer: 5244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 = -y + 838. Suppose 18*m = -y + 7925. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27373*m*y**2 + 91*m*y - 76486*y**2 + 64*y wrt m?\nAnswer: 27373*y**2 + 91*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -4 + 4 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lldllllld. What is prob of sequence lldd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32508 - -878721?\nAnswer: 911229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -38.7845.\nAnswer: -15.5138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857.\nAnswer: 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2514 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**4 - 37365*i**3 - 90021240*i**2 - 61824600000*i + 19559918568960.\nAnswer: -5*(i - 231)*(i + 2568)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -4.\nAnswer: -10, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/15)\/m)\/(m\/m**(-2\/13)))\/(m**(-4)*(m*m**(-2)*m)\/m) assuming m is positive.\nAnswer: m**(581\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -11) + 29 + -17 + -3 + 0 + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8362 - 86*n - 8362)*(-2 - 152*n - 23 + 25 + n + 3*n - 6*n + (6 - 2 - 5)*(0*n + 0*n + 2*n) - 2 + 2 + n) to the form h*n + s + c*n**2 and give c.\nAnswer: 13330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - h = 80, 3*z - h - 38 = z. Solve -5*i = -5*s - 45, -z = s + 4*s + i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqy when three letters picked without replacement from yyyyqyqyy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (2 - -1 - 14) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 5. Let v be c(-5). Suppose v = -y + 2*p - 5 + 18, -5*p - 70 = -5*y. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = -22*q - 75. Let k be 0 - (2 - (-2 + 7)). Suppose 4*j = -3*u - q, -j + 5 = -2*u + k. Put u, -0.5, 3 in increasing order.\nAnswer: u, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -457, -888, -1333, -1798, -2289, -2812?\nAnswer: -3373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -2623)\/(38\/(-3) + 455\/35) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 6*m**2 - 3*m - 5. Suppose 2*t + 5*n - 10 + 37 = 0, n = 5*t + 27. Let r be a(t). Suppose s - r = -3. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.278 + -0.078. Let t = 17.2 - v. Which is the nearest to t? (a) 0.2 (b) 4\/3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -2.8. Let w(m) = 163*m - 1795. Let f be w(11). Sort -2\/13, -0.7, f, o in ascending order.\nAnswer: f, -0.7, -2\/13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24043123 - -5?\nAnswer: -24043114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 2*s - 4*s)*(-3*s + 2*s + 2*s) + (0 + 0 + 5*s)*(-5*s + 14 - 14) + s**2 + 3*s - 3*s.\nAnswer: -23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**3\/2 - 122*v - 11. Let y(m) = -2*m + 157. What is q(y(l))?\nAnswer: 6*l - 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 32 = 2*l - 5*l, g - 4 = 0. Suppose 583 = -2*d + 4*d + w, 0 = -l*w + 20. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6 - -7)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*j - 27, 2*t - 1 + 2 = j. Calculate the lowest common multiple of j and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5504 (base 9) to base 7.\nAnswer: 14551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + 249711\/(-9). Let l(c) = 11676*c - 14. Let v be l(-7). Let z = q - v. What is z rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-16)*800\/600. What is the nearest to 2\/7 in -1, -11, 35, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + -67. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 133872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -4, -0.037, -4\/9, -5, 3?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*o - 2*s, 12314*o - 16 = 12315*o - 2*s. Let 55\/3*f + 5\/3*f**o - 20 = 0. Calculate f.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12122222012 (base 3) to base 11\nAnswer: -76868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, x: 1, e: 7, b: 1}. What is prob of sequence ee?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1137912 and -95\/2560302.\nAnswer: 10241208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1952561705 to the nearest integer?\nAnswer: 44188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9666 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-2\/59)\/c*(c**(-1\/4)\/c)\/c assuming c is positive.\nAnswer: c**(-775\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.5 != -6994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 7*t + 1. Suppose 0 = 9*o + 59 + 4. Calculate z(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t - 2. Suppose 2*r - 24 = -6*b + 2*b, 25 = 5*b. Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1010)\/9696)\/((-5)\/9)*1\/((-30)\/(-56))?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11826\/11 + 1073. Suppose 0 = -4*u + 5*u + 112. What is the common denominator of 1 + (u\/(-18))\/1 and j?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or -61735.62?\nAnswer: -61735.62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 - 9*u**2 + 14*u**2 - 5*u**2 - 562*u**3.\nAnswer: -587*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/18 and (-714)\/35*2\/(-16)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(78) + 6*-2*sqrt(78) - ((-6*(sqrt(78) - sqrt(78)*-3) - sqrt(78)) + sqrt(78)))\/(2*(sqrt(96)*-2 - sqrt(6))*3).\nAnswer: -65*sqrt(13)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-2)\/(3 + 3)). Calculate the greatest common divisor of 27 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 45*m**4\/8 + 203*m**3\/6 + 156*m**2. Is a(18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1250 and -2421?\nAnswer: 3026250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 0 + -123 + 131?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - 11*p - 2. Determine m(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7195, 14139, 20573, 26245, 30903, 34295, 36169?\n\"Answer: -42*o**3 - 3*o**2 + 7247*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-9) + 3\/9. Let r(i) = i**2 + 8*i + 3. Let t be r(f). What is s in 32\/7 - 80\/7*s**2 + 800\/7*s**t - 750\/7*s**4 - 128\/7*s = 0?\nAnswer: -2\/5, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 45 - 45)*(-3*p - 4*p + 4*p) + 11126*p**2 - 11126*p**2 + 2*p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 477638171, 477638172, 477638173, 477638174?\nAnswer: 477638175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f**2 - 261*f - 271. Let d(y) = 2*y**2 - 52*y - 54. Let c(s) = 22*d(s) - 4*g(s). Find t, given that c(t) = 0.\nAnswer: -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-4)\/(-1 - 3). Suppose 5*t - 20 = 3*w + 2*w, -3*w + 4 = o*t. Solve 6 = t*l - 3*f, -2*f - 2*f = -l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7880983?\nAnswer: 11, 716453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 16*x - 14. Determine c(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 101468503 to the nearest one million.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*i - 0*i - 12, 0 = -4*l + 3*i - 16. List the prime factors of 4 + 1 - (-2)\/l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-31)*s)\/s)\/((s*(s*s*s*s**(-1))\/s*s)\/s))\/(s**(2\/45)\/s**(-1\/8)) assuming s is positive.\nAnswer: s**(-11941\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 662 + 330. Suppose -j*x = -140*x + 1408. Let u be 0 + (0 + 1 - -21). What is the greatest common divisor of x and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719580 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3105132 (base 10) in base 11?\nAnswer: -1830a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14777.\nAnswer: 7, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/8 - 27327843*q**2\/8 - 13663926*q - 27327855\/2 = 0. What is q?\nAnswer: -2, 9109285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.29.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1696*u - 13176 = 587*u + 498*u + 428*u for u.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 7*h**2 + 4*h. Let j be x(-7). Let z = j - -30. Suppose 9 - 24 = -5*n. Solve -5*l - w = n*w + 18, -3*l + z*w = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**7\/140 - c**5\/12 + 5*c**4\/4 - 11*c. Let u(j) be the third derivative of x(j). What is the derivative of u(w) wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.4 and -15640359095256.\nAnswer: -15640359095252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 11. Let y = 10 + c. Let k(h) = 4*h**2. Let d be k(1). Solve d*o = y*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 19274167. Let m(b) = 10*b. Determine o(m(f)).\nAnswer: -20*f + 19274167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 248758 or 248738?\nAnswer: 248758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.4 + 160.4. Let p = 137.00138 - h. Round p to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.06 (b) 144\/11 (c) 1\/3 (d) 1\/4 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppps.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 36*d - 3. Suppose -11*c + 12 = -7*c. Is 21 a factor of g(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2139 is divided by 271.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a - 4 + 0*a + 2)*(333*a - 59*a**2 - 2743*a + 57*a**2) to the form y*a + j*a**2 + u*a**3 + l and give j.\nAnswer: -4816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2201 + 2389. Let c(q) = -2*q + 16. What is the remainder when y is divided by c(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*11*4\/8. Let x(j) = -2*j + 2. Let g(a) = -5*a + 6. Determine v*x(w) + 4*g(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244, -469, -694, -919, -1144?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.28 - -0.27816. What is q rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 - -75.99971. Round v to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 1. Let q(o) = -16*o + 18. Let w(t) = -38*t. Let b be w(-1). Suppose -40 + b = j. Determine j*q(u) + 36*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20597503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 + 16*t**2 - 2*t**3 - 98 - 18*t**2 + t + 5*t**3 - 270 to the form y + r*t**3 + p*t + h*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (25 - (46 + -36)) + -23\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1133830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59\/21 + -8\/3. Let f be (-19)\/42 - 2\/(-7). Let q = f - -1\/3. Sort q, -4, a in descending order.\nAnswer: q, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 136 in descending order.\nAnswer: 136, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1026 - 542. Let d = -483.9999603 + a. Round d to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*((d*d**(-2\/11))\/d)\/d*d*d**(-1\/7)*(d**(-5)\/d*d)\/d**(-1\/9))\/(d**(-3)*d**(-5\/2))**(-2\/27) assuming d is positive.\nAnswer: d**(-9607\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7493 - 13.5.\nAnswer: -7506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 27 + p + 50 + 33.\nAnswer: 2*p + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3251 + 3251. Let -1\/4*i + 1\/4*i**2 + b = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261 and 812?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (-8 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-1)\/(-4) + (-232)\/(-32). Suppose -u*o - 1588 = -12*o. What are the prime factors of o?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from {k: 8, a: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iihi when four letters picked without replacement from {i: 10, h: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 3360 = -28*o. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -247340*w - 1220. Let i be z(-18). Round i to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 13*w - 6 = 16*w, k + w = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 22*r**3 - 40*r**2 - 102*r + 196. Let y(b) = b + 2. Let o(v) = -h(v) + 2*y(v). Factor o(f).\nAnswer: -2*(f - 2)**2*(11*f + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318221*n - 362935*n + 20359*n + 132875*n.\nAnswer: -527922*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.185898894 from 3.\nAnswer: 2.814101106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -75 - -83. What is the smallest common multiple of 28 and (c\/6)\/((-640)\/108 - -6)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16 + (11 - -6) - -5. Solve 5*u - 10 = 0, -169*k + 167*k - 3*u = -q for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) -1\/3 (b) 0.5 (c) 0.3596\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 143370990*g**5 - 3179716*g**2 + 10*g.\nAnswer: 8602259400*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*30\/(-8)*26\/4*(-1056)\/(-3432).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -x + 3*x - 4*r, 0 = 3*x - 3*r - 36. Let p(c) = c**3 - 3*c**2 + c - 6. What is the remainder when p(5) is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2965443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -40*m. Let y(t) = -t**2 + 14*t + 42. Let u be y(16). Let v(r) = 0*r - u + 10 - r. Determine z(v(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/5 (b) -0.04 (c) -343.6607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 48, 2, -2, -2\/5, -84?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*v - 3 = 1, 4*d - 4*v + 24 = 0. Let r be (6\/(-5))\/(2\/(-10)). Let m = 10 - r. Sort -1, d, m.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 + 20*f**2.\nAnswer: -4*f**2*(f - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4\/5 (c) -0.6 (d) -482\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*u = 8, 4*g - u = 4*u - 8. Let o = 18349 - 18348. Sort o, 0, 18, g.\nAnswer: g, 0, o, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(26\/5)\/a**(-14\/5))\/(a**(3\/4)*a*a*a*a**(-41)) assuming a is positive.\nAnswer: a**(181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35425.84us?\nAnswer: 35.42584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -aa2 (base 14) to base 5\nAnswer: -31402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 112*d**4 - 2 - 122*d**4 - d. Let h(o) = -19*o**4 - 5*o - 5. Let q(l) = -3*h(l) + 5*z(l). Differentiate q(g) wrt g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from bhbhbvhbvbvvhh?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -7\/60*z**5 - 1\/15*z**7 + 0 + 0*z**3 + 0*z + 0*z**4 + 0*z**6 + 11*z**2. What is the third derivative of n(b) wrt b?\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*8*(-4281)\/2854?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 47 + 0*t + 14 - 202 + 5*t in the form c*t + k and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1160\/(-12)*(-15)\/(-14). Let r = p + 104. Let q(c) = -10*c - 4. Let j be q(0). What is the closest to j in 1\/7, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630788 divided by 295\nAnswer: 630788\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436272 is divided by 436271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 5 - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in nineteen quarters of a week?\nAnswer: 798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 9*g**2 + 6*g - 13. Let z be n(-8). Suppose 0 = p - 5*p + 2*y + 102, z*p - 4*y = 74. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -1\/42*d**7 + 0*d**4 + 1\/3*d**5 + 0*d**3 + 0 + 27*d**2 + 0*d**6 + 0*d. Factor m(u).\nAnswer: -5*u**2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 0*z + 4*z + (5 - 6 - 1)*(0 + 0 + 2*z) + 43*z - 26 - 18*z - 24*z in the form n + j*z and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -646 + 15*l - 10*l + 11*l + 667. Suppose -45 = n - 6*n. Let p(z) = 65*z + 85. Let k(s) = n*o(s) - 2*p(s). Find the first derivative of k(v) wrt v.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 821439 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2084*r - 13383 = 597*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 7496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s - 4*s + 6*s)*(3*s - s + 0*s) - 73*s**2 + 62*s**2 - 3 + 2)*(-2*s - s + 6*s).\nAnswer: -21*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 0*f**3 + 3*f**3)*(-2*f + 5 - 5).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 150\/11 at most as big as 271.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 15) to base 16\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119676529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1458 - -3498. List the prime factors of d.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*b + 168, -b + 262 = 5*o + 64. Calculate the lowest common multiple of 52 and o.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2885748 divided by 240479.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2000 - -10052\/5. Let n be -4 + 0\/(-3) + 2. What is the common denominator of 1\/(n - (-80)\/41) and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272 is divided by 395?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 20\/3 - 5\/3*r**3 - 5*r**2.\nAnswer: -5*(r - 1)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1280 = 20*m. Calculate the highest common divisor of m and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**3*x**3 + 3*h**3*x + 3*h**3 - 7141*h**2*x**3 - 902*h*x**2 + x**3 + 4*x**2 wrt x?\nAnswer: 6*h**3 - 42846*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1151\/3 + 385. Put 57, 0, h in ascending order.\nAnswer: 0, h, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t**2 + 0*t + 0*t)*(-243*t**2 + 33*t**2 - 66*t**2) + 23*t**4 - 13*t**4 - 13*t**4 to the form r*t**2 + q*t + z*t**4 + s + n*t**3 and give z.\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835936640.\nAnswer: 2, 3, 5, 29, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 9*n**2 + 12*n - 41. Give r(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, 178, 898, 2372, 4852?\nAnswer: 8590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 266914987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 8*m - 2. Let k(t) = -t**2 - 7*t + 3. Let z(x) = -6*d(x) - 7*k(x). Give z(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13105909097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 11002033?\nAnswer: -11002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*6 + -1 + (sqrt(48)*-1 + sqrt(48) + 0)*-4.\nAnswer: -1 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**5 + 5*c**4\/2 + 5*c**3\/3 - 5*c**2 + 15. Factor q(f).\nAnswer: -5*f*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 25, 9, 2, -2166 in increasing order.\nAnswer: -2166, -4, 2, 9, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*z**4 + 16*z**3 + 4*z**2 - 23 wrt z?\nAnswer: 696*z + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04042 and 24.23.\nAnswer: 0.9793766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 10*n - 106. Let m(u) = -10*u**2 + 12*u + 105. Let h(t) = -5*m(t) - 6*q(t). What is the first derivative of h(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32612)\/(-7))\/(-4) - 8\/28. Let p = -464 - f. Suppose -p + 69 = -8*y. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110438421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 251. Let y = j - -90. Calculate the remainder when 0\/2 + 0 + 27 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 844580 and 14530.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let g = 4 - 4. Suppose 27 = -6*f + 15*f. Sort g, f, t.\nAnswer: g, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126d (base 15) to base 6.\nAnswer: 30104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 6*q**2 - 7*q - 5. Let s be -2 + -3 - 1*-1. Let x be f(s). Let k = 78 - x. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/4 - 0\/2. Let r = -1 + 6. Suppose q - 11 = -3*o, -r = -5*o + m*q + 4. Solve 9 = v + 2*g - 3*g, o*g + 7 = -2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119 - (-4 + 35\/5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 13 - (5 - (5 + 0) - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = -5*m - 2*k, -2*m + 4*k = 8. Let o(x) = -x**2 + x + m + 6*x**2 + x**2. What is the tens digit of o(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2*g + 2. Let m be k(2). Suppose 514340 - 9714340 = m*o. Round o to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -33, -27 in descending order.\nAnswer: 4, -27, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-6)*(-3)\/(-42). Let r = -0.3 + -4.7. Which is greater: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*(-224)\/(-432)*60\/(-70)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, 0, 2, -2, -3 in ascending order.\nAnswer: -348, -3, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25638 - 13798. Round x to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -11. Let y be (1 - 3)*(-30)\/4. Let m = 44 - y. What is the remainder when m is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8000161 kilometers in meters?\nAnswer: 800.0161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 224, 25, -4, 5 in descending order.\nAnswer: 224, 25, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6040, -12079, -18118?\n\"Answer: -6039*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 5928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*q + 14, 4*o - 2*o - 14 = 4*q. Suppose -2*i + 3*l + 21 = 0, -i - 2*i + l + 14 = 0. Let p = i - o. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-190)\/475)\/(1 - (-441)\/(-375)) + -2.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, l: 1, k: 1, g: 10, b: 4}. What is prob of picking 1 b, 2 g, and 1 k?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (0 + 2)) + (1446 - 1403).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 3*u - 147, 211 = 4*k - 0*k - u. Is 26 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.085 - 1.355. Let x = 1.618 + z. What is x rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1681 + -168. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*m*y**3 + 11209*m*y**2 - 15*m*y + m + 84*y + 2 wrt y.\nAnswer: -30*m*y + 22418*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 132*l + 30*l**2 - 29*l**2 - 11*l + 1 to z*l + c + r*l**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + 245214214?\nAnswer: 245214515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 d when two letters picked without replacement from {c: 5, j: 4, d: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405013 is divided by 773.\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 8 - 2 + 9 + 6*n to the form w + v*n and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680838.\nAnswer: 2, 3, 53, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 + 2*t - 5. Let h be d(4). Let b = 97 - 95. Solve b = -f - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 106?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71184 * -1.7.\nAnswer: 121012.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7581550*y**2 - 13518898?\nAnswer: -15163100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 13*s**5 + 2780*s**4 + 5097*s**3 + 1906*s**2 - 424*s = 0.\nAnswer: -212, -1, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208695839?\nAnswer: 11, 47, 36697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g - y + 6, -4*g - 1 = -5*y. Suppose 2*n = g - 21. Is 5 a factor of (8\/n)\/((-14)\/175)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**3 + 8*c**2 + 6*c**2 - 8*c + 5*c**3 - 12*c**2 - 41 + 42 in the form q + u*c**3 + f*c + s*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -21. Let d(k) = -2*k - 5. Let g(i) = -2*i - 4. Calculate z*g(f) - 6*d(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*f + 22*f - 37*f - 389 + 2*f + 2*f - 2*f - 4*f + 2*f + 3*f + (3*f - f - 3*f)*(-3 - 1 + 3) + 5*f - 3*f - f.\nAnswer: 3*f - 389","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402236?\nAnswer: 2, 100559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3257 + 3253. Let y = 3\/14 + 1\/2. Which is the smallest value? (a) y (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -8*z + 2*z**2 + 2*z + 1 + 6 - 3. Let p be f(4). What is the highest common factor of p and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (-133 - -98)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. What is the closest to w in 4, 2\/5, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(192)*2*-6 + -3*(sqrt(192) - sqrt(192)*2) - ((sqrt(192) + 1)*2 + -1)))**2.\nAnswer: -176*sqrt(3) + 23233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -83\/2. Which is the second biggest value? (a) 0 (b) -0.2 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*i - p, 3*p = -0*i - 2*i + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-4) - -4) + -1. Let j(l) = -6*l - 2*l + 14*l - t*l. Let b(r) = r - 3. Give b(j(s)).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 6094 = 3*r + 441, -4*r + 7542 = -5*b. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(1 - 5 + 2) - 1 + 4 - 1)*(6*r - r - 3*r).\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-453.4.\nAnswer: -18.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.036434 or 2.5?\nAnswer: -0.036434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -484*k - 8. Let m(h) = -83*h. Give n(m(u)).\nAnswer: 40172*u - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10111101011000 - -111010?\nAnswer: -10111100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330)\/(-220) + (-2)\/(-4)*-25?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 30.3. Let i = -1.3 + 2. Let d = -0.3 - i. Which is the nearest to d? (a) x (b) -0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, c: 2, m: 3, n: 3, b: 2, e: 4}. Give prob of sequence penn.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhjj when four letters picked without replacement from {k: 5, j: 2, q: 1, y: 1, t: 5, h: 2}?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -20, 0*y = -2*y + x. Suppose -7*m = 4*l - y*m - 71, -2*m = -3*l + 82. Let b = l - 12. What is the remainder when 35 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, 11, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139 - 2*d**3 - d + 140 + d + 15*d**2 to the form s*d**2 + y*d + q*d**3 + z and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 2233220?\nAnswer: 2233219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2\/11 + 163260*d\/11 + 489798\/11 = 0.\nAnswer: -3, 81633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 9012221671?\nAnswer: 9012221671.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**2 + k + 2. Let n(b) = 6*b**2 - 2*b - 2. Give -4*d(y) - 3*n(y).\nAnswer: 2*y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 59*(0 + 1). Let c be 15\/18*s\/4. Let g = 77\/6 + c. Sort g, 4, 3.\nAnswer: g, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 225*d - 226*d = 60, -239 = 18*l - d for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 802895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005214139 rounded to 6 dps?\nAnswer: -0.005214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 25510 = -54738. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7617 and -7615 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 2:17 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 2*k + 5. Calculate i(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 51*d + 12 = 29*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3\/3 + 2024*j**2\/3 + 22486*j\/3 + 6820 = 0?\nAnswer: -10, -1, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -44*(5 - (1209\/104 + -7))\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -27 + 2*l + 27. Suppose -13 = w + 5*d, d + 0 = -w - 1. Let v(q) = -3*q + 2*q + w*q. Give o(v(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/25)\/(6\/(-20)). Let t be (k\/6)\/(28\/(-12)*2). Which is smaller: t or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 1, i: 1, h: 6, b: 2, p: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**5 + 2*y**3 + 2*y - 3. Let l(g) = -7*g**5 - 40*g**4 + 226*g**3 - 344*g**2 + 140*g + 15. Let r(n) = -2*l(n) - 10*s(n). Let r(d) = 0. Calculate d.\nAnswer: -25, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52382511?\nAnswer: 3, 257, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (5 - 4) - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i = -151*i - 840 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 24*o**2 + 229*o - 188. What is f(7)?\nAnswer: 2591","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 238 = 3*b, -2*r = 3*b + 3*r - 242. Let k = b + -61. Calculate the greatest common divisor of 198 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 57967237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 27\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*c + 11*c + 42*c)*((-2 + 3*c + 2)*(0 + 4 - 2) + c + 3*c + 2*c)*(3 - 2 - 3).\nAnswer: -744*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2448) - sqrt(2448))*1 - (-1*sqrt(612)*-4)**2.\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k - 2. Let o be h(-2). Suppose 2*s - 4*z = 14, 5*z + 6 + 13 = 3*s. Suppose i - 12 = -s*i. Is i > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -136113\/5 - -27222. What is the closest to -2 in -18, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 - -7. Suppose 5*q = -5*o, -8 = -5*q + 2*q + o. Suppose s - 9 = q*j, -4*j = -j. Calculate the greatest common divisor of s and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o - 2*q + 114, 4*o + q = -4*q + 227 - 203 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millisecond in nanoseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280 - 305) + 3 + 23 + (-1 - -25) + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -106 (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffuffuuuff. What is prob of picking 1 f and 1 u?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 16 = 6. Suppose p*z + 123 = 5*z - 3*k, -3*z + 113 = -5*k. Let a = 79 - z. Is 16 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/3*9 + 4. Suppose 0*v - s = -10*v. Calculate the greatest common divisor of v and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -26. Does 10 divide (-410)\/(-14) + u\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 617 - 616.494. What is c rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 56\/(-336) - 1\/(-6). Suppose j = 3*p + 15 - 24. Let d = 53\/2 - 26. Which is the nearest to d? (a) -0.5 (b) p (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 - -183. Is 75 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + l**3 + 2 + 0*l**3 + (l + 0*l + 0*l)*(-1 - 2*l**2 + 1 + (0 + 0 - 2*l)*(3*l + 0*l - 2*l) + l**2 - 4*l**2 + l**2 - 146 + 146 - 13*l**2).\nAnswer: -18*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 7:12 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-81)\/135 - 2\/(-4))*(-5)\/(-2). Let z = 211 - 99. Put h, z, -5 in decreasing order.\nAnswer: z, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 10*q**2 - 2*q - 15. Let m be v(-10). Let p(o) = o + 4. Determine p(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazaazszzzaaazzf. Give prob of sequence ff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1351, 1354, 1359, 1366?\n\"Answer: t**2 + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**3 - 5*x**2 - x + 2. Let w(n) = 13*n**3 - 7*n**2 - n + 3. Give -7*r(d) + 5*w(d).\nAnswer: 2*d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 - 105*f**4 - 188*f wrt f.\nAnswer: 20*f**3 - 1260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 15424*d**3 - 4*d - 15426*d**3 - 2*d**2 - 4 as u*d**2 + g + p*d + c*d**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/117? (a) -5 (b) -112 (c) -7 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of 0*c**5 + 0*c**2 + 0 - 1\/6*c**4 + 0*c**3 + 0*c**6 + c + 1\/14*c**8 + 0*c**7. What is the third derivative of h(x) wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 7*g + 1430 = 0. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 319478?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)*-1*-3)\/(sqrt(1452) + (sqrt(1452) - sqrt(1452)*-1) - (sqrt(96) - (2*sqrt(96) - sqrt(96)))\/sqrt(8)) + -5 + -3.\nAnswer: -8 - 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 12*j - 33. Calculate b(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2482 and 22?\nAnswer: 27302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4 - 38*d**3 - 397*d**2 - 684*d - 324 = 0 for d.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 - 43. Let u be 18*(c\/(-3) + 0). Let o be u\/12 - (-25 - 1). What is the greatest common factor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-4)\/(-12) - 0). Suppose 0 = -x*f + 112 + 35. Suppose 0 = -5*d - 4*v + f + 21, 0 = -2*d + v + 41. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/10 and ((-4)\/(-6))\/(340\/405).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 6*l**2 + 14*l + 14. Let j(m) = -3*m**2 - 14*m - 2. Let k be j(-4). Let x be y(k). Let w = -331 + x. List the prime factors of w.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1194? (a) -0.4 (b) 2 (c) -3.6 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*j = -32, 8*v - 2*j - 68 = 3*v. Calculate the greatest common factor of 108 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51653.1 and -0.2.\nAnswer: 10330.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41652 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/120)\/(10\/(-18)*-1)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/66*2\/(-2)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -24, -3, -1.26, 1\/3, 1\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3) + (-6)\/(-9). Suppose -2*f + 2 = v, -2*b + 100 = 5*f - 61. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**5 + 0*l - 3*l**5 + 7*l + 5*l**5 wrt l.\nAnswer: 60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15834*c**3 + 1460*c + 3738*c**2 + 3469*c**3 - 1460*c + 6309*c**2 wrt c.\nAnswer: -74190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 2456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 677\/88 + -63\/8. Let f = -0.1 + 2.1. What is the fourth smallest value in y, f, 0, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-40)\/(-64)*(-4)\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*q + 821416 - 296019, -262698 = -b - q. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51073 + 134693 = 1056*q + 12213*q for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*i*k**4 - i*k**2 - 3*i*k - 52*i - 2*k**4 wrt k.\nAnswer: 672*i*k**2 - 2*i - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9152.9993547 - 9153. What is b rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.58 + -0.32. Let v = w - -3.9. Put 3, 4, v in decreasing order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 2*v**2 + 5*v - 3. Let c(b) = -b**3 + b + 1. Let s(z) = c(z) - l(z). Let m be s(3). Let p(h) = 7*h - 7*h + 1 - 9*h**3. Determine p(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/3 + 12063836*v**2\/3 + 48255328*v\/3.\nAnswer: v*(v + 4)*(v + 12063832)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/9)*q\/q**(-16) assuming q is positive.\nAnswer: q**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1125) - (sqrt(1125) - 5*sqrt(1125))) + sqrt(1125))\/(sqrt(63)\/sqrt(252)).\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 849 divide 2841306728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n**4*s - 5*n**4*t + 6*n*t**2 - 2*s*t**2 - 2*s*t + 14*t**2 wrt n.\nAnswer: -4*n**3*s - 20*n**3*t + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-2\/17)\/y)\/y)\/(y*y**1*y*y))\/(y**(-1))**(-50) assuming y is positive.\nAnswer: y**(-954\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 2. Let i be -2 + 12\/((-3)\/u). Suppose i*l - 48 = -2*l. Calculate the smallest common multiple of 14 and l.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -17*p**3 + 2*p**2 - p. Let v = -14 + 15. Let w be y(v). What is the remainder when 69 is divided by w\/6*(-27)\/4?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -9, 1, -0.43, -2?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -561*i**3 - 46*i**2 + 5*i - 15. Let y be j(-4). Calculate the greatest common factor of 147 and y.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o - 11. Let b be k(5). Solve -4*s = -2*s - b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 16 - (0 - (7 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1637089.\nAnswer: 1\/1637089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 46*t - 30 = 51*t, 16*t = -3*d - 47 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + 3 + 6*h - 8*h**3 - 5 in the form i*h**3 + g*h + f*h**2 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from assaassaaaaaasasaa. Give prob of sequence ssaa.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 15 = -7*j. What is the biggest value in j, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 24156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p**2 - p**2 + 0*p**2)*(1 - 1 - 1)*(-3 + 2*p + 3).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162096609?\nAnswer: 127, 137, 66791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - t + 4 = 0, -u - 2*t - 6 = 6. Is ((-2)\/u)\/(2\/212) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*1\/(-14)*14\/(-60). What is the closest to v in -2\/5, -2\/7, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8386833319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = 4*d. Let i be (10\/(-3) - d)*-88. Let v = i - 29. Which is the second biggest value? (a) -3\/7 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 + 1. Let o(q) = -11*q**2 - q - 16. Give -6*m(r) - o(r).\nAnswer: -r**2 + r + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 3. Suppose 0 = -z*a + 7*a - 24. Suppose 0 = -2*q - y + 5, 2*y + 0 = -3*q + a. Solve -6*p = -2*p + q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5174 + -362?\nAnswer: 4912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5326, -5324, -5322, -5320, -5318, -5316?\n\"Answer: 2*b - 5328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 76870 (base 13) to base 6\nAnswer: 4333144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.9 + 3. Let s = -8.692 - 0.108. Let r = -9 - s. Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1271 to two dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i - 2*i)*(5 - 7*i + 14*i - 3*i).\nAnswer: 4*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.68287 from 9.670527.\nAnswer: 10.353397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i**2 - 28*i - 12. Let j be g(-6). Let t = j + 675. Solve t = -x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 56, 177, 406, 779, 1332, 2101?\nAnswer: 3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*d = -4*d - 15. Let r(i) = 6*i**2 + 6*i - 2. Let m(k) = k**3 + 5*k**2 + 5*k - 1. Determine d*r(v) - 6*m(v).\nAnswer: -6*v**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 15620025 (base 7) to base 15\nAnswer: 1ee936","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 18 = -20*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11208, -0.4, -1\/121?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9460 and 236500?\nAnswer: 236500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/153)\/((-7)\/42)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1 - (54243\/(-108))\/(-49) and 0\/5 - (-31)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 9*i**2 + 11*i + 6. Let z be m(-10). Are -2 and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11895 (base 10) to base 12.\nAnswer: 6a73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 f when four letters picked without replacement from bbfbfffbfbfbfbfbfb.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 249 = -4*s. Let f(p) = 46 - 46 + s*p. Is f(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 270 and 1052.\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(17) + 2 + 3.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w**(-6\/7)\/w*w assuming w is positive.\nAnswer: w**(-62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*j**5 - 8856082*j**4 - 35198596*j**3 + 107200552*j**2 - 2760528*j = 0. What is j?\nAnswer: -6, 0, 2\/77, 2, 57511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 265, 486, 617, 616, 441?\n\"Answer: -7*q**3 - 3*q**2 + 279*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2. Let k(y) = -104*y. Calculate n(k(u)).\nAnswer: 21632*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5*k**6\/24 - 7*k**5\/12 - 5*k**4\/4 + k**2 - 2*k - 62. Let l(i) be the second derivative of t(i). Find w such that l(w) = 0.\nAnswer: -3\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b - 50*b - 392 = 0 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 821 - 819. Is t smaller than -354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) 1\/4 (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 2*d**4\/3 + 5*d**3\/3 - 11*d**2\/2 - 16*d. Is t(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - x = -50, 0*l - 2*l + 3*x + 20 = 0. What is the least common multiple of l and (-5 - -4)\/(4\/(-28))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2272000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**4 - 96755*j**3 + 467931315*j**2 + 1405052015*j - 1872886580 = 0.\nAnswer: -4, 1, 9677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 1175550 - 1175550.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.9931 - -0.0469. Let f = 1949370.05007 - 1949360. Let d = q - f. Round d to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((5*sqrt(192)\/(-1*sqrt(8)))\/(sqrt(12) + 4*(sqrt(12) + sqrt(108)) - sqrt(108)*-3))**2.\nAnswer: 1715\/338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**2 - 2*z**2 - z**2 + (-1 + z + 1)*(-2*z + z - z) + 0 + 0 - 2*z**2 + 2*z**2 - 52*z**2 - 77*z**2 + (3 + 1 - 2)*(4*z**2 - 4*z**2 + 2*z**2).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 times 2400.8777?\nAnswer: -264.096547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*u = 175*u - 29*u - 10*u + 15664 for u.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 t when four letters picked without replacement from ataaatabtzazababat.\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-15)\/(-3))\/(-15)*3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g + 1. Let s be p(1). Solve -3*m + l + s = -0*m, 4*m = l + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 29*r - 11. Let c(v) = 10*v - 5. Let p(s) = -7*c(s) + 3*k(s). Let q(z) = 5*z. Determine p(q(m)).\nAnswer: 85*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -43 (b) -6 (c) -318\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 28*u**3\/3 - u**2 + 4*u - 76. What is the hundreds digit of r(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905241499?\nAnswer: 905241499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18375\/8 = 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-8) + (-18)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 4, -2\/9, 0, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(((-20)\/36)\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 0*u**2 + 1\/3*u**3 + 4 + 0*u. Let p(q) = -3*q**2. What is p(g(v))?\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -6 - -10)*171946\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 0.0628.\nAnswer: 0.2628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4097596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*m + 3775 + 2059 - 329 = -1568 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.2 - 6. Let z = c + 12.8. Let l = -8 + z. What is the biggest value in 0.4, l, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3526 and 5576.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 1. Suppose -15*q + 9*q = -60. Let l = o - q. Solve 0 = -l*j + 5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - o + 2*o - o)*(133*o - 622 + 622) in the form j*o**2 + z + c*o and give j.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116838597?\nAnswer: 73, 2927, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7106*g**5 + 18*g**3 - 22296*g**2 - 1 wrt g?\nAnswer: 426360*g**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/4 - 3921*d**3\/4 + 11745*d**2\/4 - 11739*d\/4 + 978.\nAnswer: 3*(d - 1304)*(d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16*v**3 - 11*v**2 - 1510*v - 10. Let b(l) = 3*l**3 + 2*l**2 + 302*l + 2. What is 11*b(x) + 2*f(x)?\nAnswer: x**3 + 302*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2031976204 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -34*h**2 + 10 + 1 + 4 - 6 - 3*h. Let i be f(4). Let r = i - -1107. What is r rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108639 is divided by 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -428 (b) 270 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/80 and -117\/44120.\nAnswer: 88240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -244*m + 829110 - 111994. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 15*c**2 + 8*c**2 + 16*c**2 - 47*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314 divided by -5?\nAnswer: -1314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = -3*v + 382, 0 = -5*x + 3*v + 934. Let z(o) = o + 38. What is the remainder when x is divided by z(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 172*q**2 - 32*q - 2752.\nAnswer: 2*(q - 4)*(q + 4)*(q + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 834777*t - 38 = 834739*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 17 + -15 - (-34 + 1 - 0) - -7.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 1161.\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 - h**2 + 4*h**2 + (246*h - 773*h - 267*h)*(0*h + 0*h - 2*h).\nAnswer: 1590*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1417 + 439. Let x = -1856.001139 + q. What is x rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33*(-24)\/(-528))\/(75\/850)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 3 = 29*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 1:22 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6804, 43\/27, -3\/5, 0.02 in decreasing order.\nAnswer: 43\/27, 0.02, -3\/5, -6804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 18*j**2 - 74*j + 2246. Give k(20).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 3 = -4*o. Suppose -756 = -29*y - 55*y. Solve -r - 4*v + o = 0, -5*v + y = 3*r - 3*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18995?\nAnswer: 5, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 430649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 302221 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3)*j*j)\/(j**(-4\/5)*j)*(j\/j**0)**(-33))\/(j\/(j**(-2)\/j)*j*((j*j*j**(-2\/7))\/j)\/j*j*j)**(-32) assuming j is positive.\nAnswer: j**(6323\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -19961 divided by 44?\nAnswer: -19961\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let w(g) = 7*g - 9. Let z(u) = 18*l(u) - 2*w(u). Let o be z(18). Let o*r - 126*r - r**2 + 21*r**2 + 16 = 0. What is r?\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1109 by 1109.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = 11, -4*d - 6 = y. Calculate the highest common divisor of 55 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + 4) - (-10 - (10 - 10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 6. Let a be (-3)\/t*(-3 - -15). Let f = 12 + a. What are the prime factors of f?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201398?\nAnswer: 2, 100699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 468?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2))**(-21\/5)\/(a**1\/a**3) assuming a is positive.\nAnswer: a**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22362 + 22362 + 604*w)*(5 + 1 - 640*w + 634*w + 2*w**2).\nAnswer: 1208*w**3 - 3624*w**2 + 3624*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-6 + 23 - (18 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 9, 6, -1, -12, -27?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46720 = -1528*w + 2294*w - 1350*w for w.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 1005858.\nAnswer: 1005863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1312 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97457670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -853 = -13*s + 642. Suppose -k = -192 - s. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238038.43 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -4 (c) -11.8 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 123383 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-3)*(-6)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 a factor of 122840880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/2? (a) 2\/5 (b) 0.5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 4*y - 8, 9 = -14*c + 9*c - y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4396026.\nAnswer: 2, 3, 61, 12011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**2 - 601288*g - 392953?\nAnswer: 2*g - 601288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/3)\/(78\/(-1546389)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = -7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44733 and 29822?\nAnswer: 89466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from nqnqkqqqbqqqqkqqqbq.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -10*u + 5*u - 23, -3*u - 7 = 5*o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 2)\/((-1)\/3). Let h = y + 86. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/9 + 14900\/36.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 101574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 710ba (base 13) to base 9\nAnswer: 337422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 25 (b) 0.2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1719 and 953663?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 9:15 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43324?\nAnswer: 2, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 2*y + 30. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.6 + -5. Let q = y - -4.4. Let p = 5.1 - q. Which is the nearest to 1\/4? (a) 0 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 70850560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -28 + 18 + -12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -300442 (base 8) to base 2\nAnswer: -11000000100100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 1\/168*m**8 + 2*m**2 + 0*m**6 + 0*m**7 + 0*m**5 + 0*m**3 + 1\/24*m**4 + 0*m + 0. What is the second derivative of y(d) wrt d?\nAnswer: 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 less than 8023?\nAnswer: 8326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/56485114 and 41\/20173255.\nAnswer: 282425570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 4520508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83126, 83101, 83060, 83003, 82930?\n\"Answer: -8*x**2 - x + 83135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 10*p - 14. What is t(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*(-2*-1*sqrt(10))\/(-4*(sqrt(2) + sqrt(128) - sqrt(2))).\nAnswer: 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1040 divided by -5.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (198 - 334) + 201 + -1 + -4?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*i + c + 31, -i + 4362*c = 4364*c - 10 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 22*f + 106. Calculate the remainder when 277 is divided by h(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15121 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/29? (a) 0 (b) 31 (c) -1\/5 (d) 0.2 (e) 0.7 (f) 29\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 27*p - 103*p + 22*p + 23*p + 25*p. Let g(a) = 8*a - 19. Calculate g(z(t)).\nAnswer: -48*t - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 327275*a*v**4 - 2270*a + 21*v wrt v.\nAnswer: 3927300*a*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46050525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*3*2 - (sqrt(1872) + sqrt(1872) + 3 + 2))**2 + 1.\nAnswer: -480*sqrt(13) + 29978","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2007 and 2453?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -2161\nAnswer: -21.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -153 (b) -156 (c) 2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 12031 and 12087 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38429 + -38423. Let x(y) be the first derivative of y - 7\/8*y**4 + 5\/4*y**2 - 1\/10*y**5 - 1 - 1\/6*y**3 + 1\/6*y**q. Suppose x(b) = 0. What is b?\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/112 + (-117)\/(-21). Suppose 4*p - q - 79 = 0, -y*p = -4*p - 3*q - 47. Solve 2*m + 2*u = -14, 4*u + p = -5*m + 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12470521 - 12470521 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 3)*(-1 + 5 - 2) + 1 + 3 + 1)*(0*u + 3*u + u).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*h = 4*n - 48, 3*n + 4*h = 68. Calculate the highest common divisor of 1316 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -223624411?\nAnswer: -223624410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -19*j**5\/60 - 8*j**2 + 10. Let z(t) be the second derivative of n(t). Let g(c) = 2*c. What is g(z(s))?\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -6\/19, 716, 1 in ascending order.\nAnswer: -6\/19, -0.06, 1, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -454013\/2082526 - -50\/229. Let i = 8923053617 + -446304373013864\/50017. Let x = l + i. What is the common denominator of x and 37\/24?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.4, 2\/107, -1\/4, -20, -3491?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2178 + 2180. Let p(x) = -5*x**2 + 5*x - 5. Let l(k) = 2*k**2 - 2*k + 2. Let y(u) = -8*l(u) - 3*p(u). Give y(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2621837?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -15 (c) 285 (d) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433 + 3 + -6 + 4?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*t**3 + 147*t**2 - 13*t - 11*t + 3*t**3 - 155*t**2 to i + f*t + g*t**2 + h*t**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbdphpbjhjbb. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205009469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/16)\/(-114*(-61)\/(-1952))?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 - 353*j**2 - 23*j + 228698?\nAnswer: -6*j**2 - 706*j - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*g + 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/5 - 297*w**2 - 49005*w - 2695275.\nAnswer: -3*(w + 165)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*3\/9*(-6)\/16*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:40 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*r**5\/7 - 296*r**4\/7 - 323*r**3 - 6718*r**2\/7 - 8172*r\/7 - 3240\/7 = 0. Calculate r.\nAnswer: -9, -2, -10\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 14*y - 6. Let f be q(-9). Suppose -f = -3*z + 99. Suppose c + c = z. Round c to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: In base 5, what is -31433 + -3?\nAnswer: -31441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 0 + (-2*sqrt(68) - sqrt(68))\/sqrt(4) - (2*sqrt(1700) + sqrt(1700) + 1)*-5)*-5)**2 + -1.\nAnswer: 22050*sqrt(17) + 9184049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 2590, 2\/9?\nAnswer: 2590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 - 10021?\nAnswer: -10200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -619?\nAnswer: 2\/619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 26 = 2*b - 0*b, 0 = 4*x - 16. List the prime factors of b\/(2\/4*-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28.8527 + 0.1473. Put 5, g, 0.02, -4 in decreasing order.\nAnswer: g, 5, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (6 - 1 - 10) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*c + 1 - 0, -20 = 4*m. Let f be -7 + (0\/c)\/(-2). Let q = f + 29. Solve 0 = -5*o - 2 + q for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20*(-6)\/75*-40. Suppose -4*p = 5*o + 81, 25 = p - 5*o + r. Put 2, p, 5 in decreasing order.\nAnswer: 5, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*n - 0*n + 4*x, -n - 5*x = 23. Find the second derivative of 0*b**n + 0*b**2 - 14*b**5 + b + 9*b**5 wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/b*b*(b\/b**(-3))\/b*b**(-4)*b**(2\/3))**(-10) assuming b is positive.\nAnswer: b**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7383 - 3490. What is the remainder when l is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k. Let d(j) = 73*j. Calculate d(y(v)).\nAnswer: -365*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 80, 155, 230, 305?\n\"Answer: 75*c - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + bb3?\nAnswer: bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 91*x - 2729. Determine z(30).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18ad (base 14) to base 5.\nAnswer: -120330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -29*p**3 - 694*p**2 - 4128*p + 288 = 0. Calculate p.\nAnswer: -12, 2\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 k, and 1 v when three letters picked without replacement from {k: 2, v: 3, r: 1, d: 3, o: 3, h: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2790.157ug to tonnes.\nAnswer: 0.000000002790157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 - -4 - (-36 + 14 + 17 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**2 + 11*u. Let w(m) = m**2 - 2*m. Let v(q) = 2*k(q) + 11*w(q). Let g(z) = 15*z**2. Calculate v(g(x)).\nAnswer: 225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 16*n + 2. What is the remainder when w(-14) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2. Let r(m) = 6*m + 22. Give l(r(w)).\nAnswer: -36*w**2 - 264*w - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5043, -46391, -160317, -383109, -751055, -1300443, -2067561?\nAnswer: -3088697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4990358?\nAnswer: 2, 173, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -1. Let o = -13 - -13.05. Let v = o - -0.95. What is the nearest to v in u, -2\/11, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 10:19 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 + 280 = -73*w + 202 + 1498 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31869 is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + v + 2)*(3 - 3 + 2) - v + v - v)*(0 - 3 + v + 1).\nAnswer: v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 779 = -728. What is the remainder when 764 is divided by v?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-1\/3))\/y)\/(y*(y\/(y\/(y**(-5\/4)*y)))\/y))**(-4\/13) assuming y is positive.\nAnswer: y**(-7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -9*n + 306. Does 34 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 258195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 18*a**2 + 27*a + 17. Determine g(-19).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 45 = -2*d, d - 1 - 5 = -5*k. Suppose -2*l - 18 = -x - x, -4*x + 54 = 5*l. Let a = d - x. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in decades?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 3339.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38, -64, -78, -74, -46, 12, 106?\n\"Answer: i**3 - 33*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31785.\nAnswer: 3, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) -2 (b) 6 (c) 2\/19 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by 429738?\nAnswer: 157\/429738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/525, -13\/2, 865, -5 in decreasing order.\nAnswer: 865, -2\/525, -5, -13\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*j**5 + 14*j**5 - 24*j**5)*(-3 - 1 - 1).\nAnswer: -280*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3685939 rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 45*k - 624. Calculate the remainder when 353 is divided by p(16).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*t - 45, -10 = -2*n + 17*t - 21*t. Let d = 16 - 11. Let g(a) = 3*a - 9. Let h be g(d). Calculate the highest common divisor of h and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-10) - (-16534)\/(-35). Let v be n\/(-165) - ((-47)\/15 + 3). Factor 3\/2*l**v + 0*l + 0*l**4 + 0 + l**2 - 1\/2*l**5.\nAnswer: -l**2*(l - 2)*(l + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5909271 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 11*v = 11150. Let k be (-1 + 553)*(-1 - v\/20). Suppose -6*a + k + 51378 = 0. Round a to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48021019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 11*g**2 + 0 + 14*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -25060*a - 100238. Calculate c(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q**5 + 15*q**4 + 123*q**3 + 39*q**2 - 117*q - 54 = 0.\nAnswer: -3, -1, -1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**2 + 1. Let a be c(-1). Let o(t) = -3*t - 4. Let h be o(a). Find the second derivative of 5*f**5 + 4*f - 7*f**5 - 2*f**h wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1081959 to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/((-5)\/(-2)))\/(75*(-71)\/8875)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 207407111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -5\/6 (c) 0.16 (d) 3\/7 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + (sqrt(200) - (2*sqrt(200) + -4)) + ((-2*sqrt(2904) - sqrt(2904)) + sqrt(2904) - sqrt(24))\/(1*1*sqrt(3) + sqrt(3))))**2.\nAnswer: -396*sqrt(2) + 2214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1820898 != -1820901?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)\/(1*5\/(-85)). Suppose -29*w + p*w = 85. Calculate the highest common factor of w and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 160a2 + 5?\nAnswer: 160a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(44)\/sqrt(4) - (sqrt(1100) - (-1*sqrt(1100) - sqrt(1100))))**2 + (-6*(sqrt(11) + -1 + sqrt(1584)))**2.\nAnswer: -936*sqrt(11) + 78939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*d + 54*d + 81*d - 2151 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 43 = 25. Suppose 3*o + 27 = 4*z, 0*z - 5*o = -3*z + r. Solve 0 = -m - z + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.5811 (b) 3 (c) 0.299 (d) -4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2. Let x(s) be the second derivative of -s**3\/3 - 21*s**2 + 111*s - 2. Determine l(x(f)).\nAnswer: 8*f**2 + 336*f + 3528","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = 0. Let t = 133\/60 + -9\/4. Is t smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 165 + 132 + 0*y.\nAnswer: -y - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 35*k + 5. Let m be i(-34). Let n = 28 + m. Sort n, 8, 5 in decreasing order.\nAnswer: 8, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5102 and 18.\nAnswer: 45918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**7\/840 + 5*f**6\/48 - 877*f**5\/240 + 525*f**4\/8 - 1323*f**3\/2 - 2611*f**2. Let j(n) = 0. What is n?\nAnswer: 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1, b: 2, o: 3, i: 4}. What is prob of picking 1 i and 1 t?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.276 - 0.27600222. What is j rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 799.1 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -342 in decreasing order.\nAnswer: 5, 0, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6174*m**3*v**2*x - 3*m**3*x + 7*m**3 - m**2*x + 17*m**2 + 377*v**2*x + 144 wrt v?\nAnswer: -12348*m**3*v*x + 754*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490) + sqrt(490))*3 - sqrt(490))\/(sqrt(720)*1 - -1*sqrt(320)).\nAnswer: -7*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 17*m**2 + 16*m + 35. Let s be d(18). Let v(c) = -2*c. What is v(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6773.9nm?\nAnswer: 0.0000000067739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/198 and -7\/3630?\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/6)\/((l*l*l**(-9)*l*l)\/l))\/(l**(-1\/2)*l\/(l*l**(-14))))**37 assuming l is positive.\nAnswer: l**(-814\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -255*p + 7392. Determine k(29).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 354, 3\/4, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -1. Let f be 6 + -2*(-5)\/g. Let o = f + 20. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -12177\/52 and -234 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 65*q + 33351. Let p be r(-218). Let f = -4 + 4. Suppose 0 = -7*l + 3*l + 20. Put l, -2, f, p in decreasing order.\nAnswer: l, f, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/20 + 5*r**4\/12 + r**3\/2 + 4*r**2 - 4*r. Let f be (-9)\/12 + 27\/4. What is m(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -458.9 + 372.739. Let l = z + 90.98. Let v = l + 0.081. Round v to zero decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 14. Calculate g(-16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/24 + 2*c**3\/3 + 75*c**2. What is i(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -340*v - 1481. List the prime factors of a(-7).\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:34 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (1 + -1) - -4. Suppose 0 = 2*q - q - x. Put 3, -1, q in descending order.\nAnswer: q, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -32. What is the derivative of -11*d**3 - 9 + h*d**3 + 1 wrt d?\nAnswer: -27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1588*(-5)\/(-1140) - 2?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -59. Suppose i*d - 97 + 7 = 0. What are the prime factors of (d\/25 + 252\/(-5))*-2?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 70. Let h = -56.1 + 56. Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7203 + (6 - (-3)\/((-24)\/56))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 8. Let b(n) = -1 + 3 - 1. Suppose 1074*w - 1058*w + 16 = 0. What is w*t(c) - 6*b(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**2 + 48736 - 48736 + 18*x.\nAnswer: -19*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 7*v - 5 - 7*v + (-v + 3*v + 0*v)*(4 - 1 - 6).\nAnswer: -4*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-4)*(-381)\/(-762)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-224 - 81 - 24)*(-o + o - 2*o**3) + (0*o + 3*o - 4*o)*(-3*o + 2*o**2 + 3*o).\nAnswer: 656*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 582.99999587 + -583. Round v to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(99) + sqrt(11))**2.\nAnswer: -24*sqrt(11) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -208\/11*o**2 - 298\/11*o**3 - 8\/11*o - 98\/11*o**4 + 0 = 0.\nAnswer: -2, -1, -2\/49, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3653 + 2261. What is the thousands digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - (21 - (34 + (11 - 6))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 207*b**2 + b - 4. Let f be h(-2). Suppose 2*o - o = -4*l + f, -o + 2 = 0. 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 -305*o**2 + 1212*o**2 - 306*o**2 - 294*o**2 - 304*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2324, 9281, 20818, 36881, 57416, 82369?\n\"Answer: -9*o**3 + 2344*o**2 - 12*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 795598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i. Let y(n) = 3*n - 1. Let r be -14*3\/6*3\/(-7). Calculate r*y(p) - 2*m(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let f(h) = 895*h. What is f(b(i))?\nAnswer: 1790*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2163 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(18\/(-15) + 4 - 18\/(-15)). Solve 4*o + 4*i = v, -5*i + i - 9 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, 74, 22994 in decreasing order.\nAnswer: 22994, 399, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 5 = -5*n, -3*p - 2*p - 25 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-3 + (-27)\/6). Sort 1, g, 1\/2.\nAnswer: 1\/2, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**5 - 7763*k**4 - 5*k**3 + 146416*k wrt k.\nAnswer: 20*k**3 - 93156*k**2 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -163758564, -163758563, -163758562, -163758561, -163758560?\n\"Answer: b - 163758565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n - 7422552 + 7422550 + 2*n.\nAnswer: -5*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8349?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3476.332 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-418)\/(-912) - (1 + 1)\/6)*3\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/15, -7, -0.6, 18.96, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*227\/(-454).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-201)\/(-6) + (-1 - 0) and (134\/10)\/(14\/(-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13449000 to the nearest one hundred thousand.\nAnswer: 13400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000321749617 to 7 decimal places.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -698, -1362, -2028, -2696, -3366, -4038, -4712?\n\"Answer: -b**2 - 661*b - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 10*y - 40 = 0. What is the common denominator of y\/10*(-5 - (-18)\/(-24)) and 9\/(-2)*(-34)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-2)*r)))\/r**(-11)*((r*r**(-2\/11)*r)\/r)\/(r\/(r*r**(-4))))**(-1\/8) assuming r is positive.\nAnswer: r**(-75\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epss when four letters picked without replacement from {p: 4, q: 6, o: 1, s: 4, e: 1}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*a - 5811 + 17303 = 80*a. Calculate the remainder when 5574 is divided by a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c*m**3 - 2*c*m**2 + 4*c*m - 108*m**5 - 1 wrt m?\nAnswer: 6*c*m - 4*c - 2160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**2 + 2869095*y - 8607312 = 0.\nAnswer: -956368, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 8*x**2 - 10*x + 2. Let r be u(-9). Let d = r - 1. Let y be (d\/(-4))\/((-3)\/(-6)). Sort 0, y, -1\/2.\nAnswer: y, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 603 and 32629?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00158 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*f + 207 - 207)*(-44 - 74 - 9 - 46).\nAnswer: -2249*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12836743 + -12836743.7200081. Let r = -1.4884 - -0.7684. Let u = j - r. What is u rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*s - 82*s + 80. Solve -5*l = -5 + s for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t - 2. Let v be c(3). Let y(k) = 2*k**3 - 48*k**2 - 3*k + 78. Let u be y(24). Solve 4*m = 6*m + 3*r + u, v*r + 22 = 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*m + 54 = -3*m, 2*u - 4*m - 36 = 0. What is the remainder when 2*17 - 0 - -1 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3522.589ml to litres.\nAnswer: 3.522589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -6. Let z be (14\/x + 2)*-2. Suppose -16 = -z*r + 7*r. Which is the nearest to 2? (a) 2\/9 (b) 3\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(141\/132 + -1). Let f = l + -17. Suppose -f*r + 283 = -3*r + w, -5*w - 265 = -2*r. Calculate the greatest common factor of 56 and r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 3*c - 10, -c - 4152 + 4186 = -5*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5 - 3610*u**4 + 3612*u**3 = 0 for u.\nAnswer: -1806, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 801*c*k**3*w - 628*c*k*w + 11*k**3*w - 106*k**3 - 15 wrt c?\nAnswer: 801*k**3*w - 628*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6228, -25282, -57148, -101826, -159316, -229618, -312732?\nAnswer: -408658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, 111, 119, 117, 99, 59?\n\"Answer: -s**3 + 4*s**2 + 7*s + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 257*v - 8854. Let y be z(34). Which is the second biggest value? (a) -4 (b) 0 (c) -5 (d) 1 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 57240 + 26*t**2 - 57240 - 27*t**2. Let h(u) = -334*u**2 - 2*u. What is h(a(j))?\nAnswer: -334*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1264)\/312 - ((-30)\/(-10) + (2 - 9)). Let r(w) = -w**2 - 6*w + 1. Let z be r(-6). Let y = z - 2. Is s less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-218)\/(-120) + (-3)\/(-12) and 2\/(-3) + (-2015)\/150 + 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0597 - 74090538?\nAnswer: -74090538.0597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.864 and 12411.29.\nAnswer: 12407.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47506032.\nAnswer: 2, 3, 7, 47129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5594*n**2 - 1273. Let z(x) = -2*x. What is z(j(p))?\nAnswer: 11188*p**2 + 2546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Solve -x = -t*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -30*c**2 - 4*c + 7. Let z(o) = -14 + 3 + 85*o**2 - 5 - 3 + 11*o. Let i(p) = -11*w(p) - 4*z(p). Calculate i(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.004 - -0.019. Let x = v + -0.02. What is x rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l - 528. Calculate z(19).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36840521 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t = 0. Suppose -3*p = s - 2, t = 4*p + 2*s - 4. What is the third derivative of 8*q**2 + p*q**4 - 5*q**2 - q**4 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 80083*w - 1201127. Give i(15).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3*r**2 - 1004*i**3 - 807*r**4 with respect to r.\nAnswer: -2*i**3*r - 3228*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 6:57 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + 4*r - 4*r + (-2 - 1 + 1)*(r + r - 3*r) as i*r + h and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250205382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/9)\/(4\/(-42)). Let x = y - 1. Does 24 divide (-19725)\/(-195) - 2\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169, -1260, -2367, -3496, -4653?\n\"Answer: -p**3 - 2*p**2 - 1078*p + 912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*3*106\/159?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 0.3 (b) -6\/5 (c) -1.58 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-191016.\nAnswer: -38203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-186)\/(-66) - (-2)\/11. Factor -103*o**2 + 24 - 105*o**d - 2*o - 119*o**2 - 10*o.\nAnswer: -3*(o + 2)*(5*o + 2)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 19. Solve -4*s + 3*s = -2*m - 3, d*m + 2 = -2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*t**2*x**3 - 2*b*t**2*x - 5*b*t**2 - 40*b*t*x**3 - x wrt x?\nAnswer: 12*b*t**2*x - 240*b*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -3\/4 (c) 0 (d) -1 (e) 4.05 (f) 2\/7 (g) -3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/5*z**2 - 354\/5*z - 36 = 0. What is z?\nAnswer: -1\/2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -32*k. Let g(v) = 21*v. Let b(z) = -8*g(z) - 5*n(z). Let r(d) be the second derivative of -7*d**4\/12 - 88*d. Calculate b(r(t)).\nAnswer: 56*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, 0, 4, -3.1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000373239954 to five dps.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22200020202000 (base 3) to base 7\nAnswer: 54122244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5248*q + 1820.\nAnswer: 5248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*v + 2, v + 1079 - 1071 = -5*r for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1831*a*k - 583*a + 4*k + 7 wrt k.\nAnswer: 1831*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 872, 1744, 2616?\n\"Answer: 872*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20211202112001 (base 3) to base 13\nAnswer: -9a436b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-11) + (-1635)\/220. Let s = 8175 - 98045\/12. Let f = s + i. Which is smaller: -2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40254*f**3 - 79646*f**3 + 39394*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*v = -5*s - 54, 3353*v + 6*s = 3348*v + 3*s + 86 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 44843*f + 807178. What is s(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22177, -22131, -22055, -21949, -21813?\nAnswer: -21647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42670?\nAnswer: 2, 5, 17, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 4, x: 6, c: 2}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18.72 - 0.72. Let h = -13 + o. What is the second biggest value in 7, 2\/7, -0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (4 + -6) - (1 - -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1048 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 444112211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}