{"text":"Question: Let m(g) be the third derivative of -1375*g**6\/12 - g**5\/60 - g**4\/12 + 3*g**2. Let n be m(-2). Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(228)*-1)\/((-2*sqrt(24))\/sqrt(2)))**2 + -3.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 1:54 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 17, 2\/11, -1675 in increasing order.\nAnswer: -1675, -17, 2\/11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/4)*w)**(-5\/18)*w**(1\/25)*w*w*w*w\/(w\/(w\/w**14)) assuming w is positive.\nAnswer: w**(-18053\/1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f**3 + 14*f**2 + 54*f - 247. Let i be l(5). Let m(w) = w**2 - 8*w + 9. Let o be m(6). What is the smallest value in -0.02, o, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(432) + -1.\nAnswer: -1 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in -0.4, -2, -16\/1391?\nAnswer: -16\/1391","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d - 5*m - 30, -2*d - 16 = -118*m + 120*m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0597 times 3?\nAnswer: 0.1791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 559814403859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w - 42 + 77 = -61 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s + 12. Suppose 8 = 4*p + 40. Let y be w(p). Let o = 2 - -2. Solve -o*k + 20 = y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76.63992mm to meters.\nAnswer: 0.07663992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 288164 divided by 72041.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28 divided by 137825.\nAnswer: 28\/137825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2.67229 decades?\nAnswer: 0.267229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 2*d**2 - 9*d + 13. Let s be i(4). Solve -s = 2*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*3*4\/24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2810189609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100000000 + 101011100111?\nAnswer: 101111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - 6. Suppose -407 - 508 = -y*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -29*f + 33. Let h be c(-5). Let x = 318 - h. What are the prime factors of x?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -52*c**2 + 2*c + 10. Let j(k) = -139*k**2 + 5*k + 29. Let l(x) = 8*g(x) - 3*j(x). Determine l(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11 - 14. Let y(m) = 1 + m - 5*m**2 - m. Let j be y(-1). Which is the smallest value?  (a) z  (b) j  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-10)\/(-50)*-1 + 9\/(-105)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3180?\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 23. Let j = 2 + x. Let b be (-7)\/35*j\/(-16). What is the smallest value in 2\/7, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43 + 18 + 10 + 15 - 41678*f.\nAnswer: -41678*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-9)\/60)\/((-55)\/(-990) - (-23)\/(-90)). What is the closest to -14 in i, 1\/5, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -51*k - 29. Determine n(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1919 + 1911 - 2*o - 3830.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 13  (b) -2\/37  (c) -0.5  (d) 4  (e) -22  (f) -0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 5*z - 233 = 6*z, 3*z = -15. What is the smallest common multiple of d and 27?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 256855562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86 = 24*z + 38 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 134177670 to the power of 1\/2, to the nearest integer?\nAnswer: 11584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/4)*v)\/(v\/v**(1\/3)*v))**6*(v**(2\/7)*v)\/v*v\/(v*v**(2\/13))*v**(1\/3)*v**(-5) assuming v is positive.\nAnswer: v**(-3841\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1890292?\nAnswer: 2, 472573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 97 - 38 = 0. Let d be (-47)\/(-3) + (-18)\/h. Let y = d - -21. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -351 (base 9) in base 3?\nAnswer: -101201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2354528038 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*4*(sqrt(405) + 1) + (1 + sqrt(405))*-2 + (sqrt(405) - (sqrt(405) + (sqrt(405) - (1 + sqrt(405) - sqrt(405))*-5) + sqrt(405))) + -2)**2*5.\nAnswer: 15840*sqrt(5) + 519005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 45*l + 0*l**4 - 3*l**4 + 0*l**2 - 2*l**3 - 244 - 47*l + 0*l**2 as w + k*l**4 + y*l + c*l**2 + d*l**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -115\/29862996 and 65\/14931498.\nAnswer: 29862996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 s when two letters picked without replacement from {e: 1, s: 5, z: 4, o: 1, j: 4, q: 3}.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/(-6))\/(2\/(-16)). Suppose -2*p = -7*p + 15, -2*i + 34 = r*p. Is 10 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -360 = -3*u - 66. Let r(j) = 189*j - u*j - 98*j. Let l(w) = 7*w. Determine 6*l(m) + 5*r(m).\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18359 - 4345 = 49*j. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -121*a + 1764. Let y be l(9). Solve 42 = 689*d - y*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -7*l + 8. Suppose 75 = l*t - 19. List the prime factors of t.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3 = -3*y, 2*y - 4*y + 6 = 0. Suppose -v = a*v - 115. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25887804 a multiple of 1599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 390.06 times 542\nAnswer: 211412.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -166 - -176. Let h = -47 - -86. What is the remainder when h is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 18 - 43 = 5*v, -s + 4*v = -11. Let i(b) = 0*b - 5*b - 2*b - 2 - b**2. What are the prime factors of i(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 2*a**2 + 13*a - 24. Let n be r(-8). Let f(k) = -2*k + 1. Let v be f(n). Let h = 59\/4 - 121\/8. Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 10 = 4. Suppose -h*o = -0*o - 15. Suppose -5 - 5 = -o*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 137ba - -1?\nAnswer: 137bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -375, -760, -1147, -1536, -1927, -2320?\n\"Answer: -j**2 - 382*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 279105 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**3\/2 - 326*h**2 + 10991*h\/2 + 1281434 = 0.\nAnswer: -53, 77, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12742670 is divided by 6371222.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.142114653 to 5 decimal places.\nAnswer: 0.14211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1351 and 874097?\nAnswer: 1351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1021, 2206, 3605, 5206, 6997, 8966, 11101, 13390?\nAnswer: 15821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3408 divided by 6?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/11 - 1108*a\/11 - 60400\/11.\nAnswer: 2*(a - 604)*(a + 50)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 AM and 3:14 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -66726 - 14?\nAnswer: -66742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22835.634 months to millennia.\nAnswer: 1.9029695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -1) + -2 + 20 + -23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of 4*u - 17 - 3\/2*u**2 - 2*u**3 - 1\/4*u**4. Determine x(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -153*m + 168*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 12 = -5*w + 12, -9 = -2*w - m. Let s = w - 5\/2. Which is the nearest to -1?  (a) -7  (b) s  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c**5 + 657585*c**4 + 21613994835*c**3 - 454247081645*c**2 - 2076335222280*c - 2162780680500 = 0 for c.\nAnswer: -65769, -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the second derivative of -o**5\/20 + o**2\/2 - 4*o. Let w be t(1). Let r(l) = 1 - 2*l - 2 + l + w. What is r(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 - (2 - 50\/(-8)). Let v = t - -421\/52. What is the nearest to 1 in -4, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange i**2 - 16*i**2 + 2*i**2 to j*i + y + v*i**2 and give v.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a + 0*a - 3*o - 183 = 0, -o - 121 = -4*a. Solve 4*m = 22 - a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 s, 1 t, and 1 q when four letters picked without replacement from {z: 2, d: 1, k: 4, s: 3, q: 1, t: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22*o**4*x + 29219*o**4 - 13*o*x - 115*o - 70*x - 9 wrt o.\nAnswer: -264*o**2*x + 350628*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10\/9*o**2 - 4 + 26\/9*o**3 - 38\/3*o + 2\/3*o**4 = 0. Calculate o.\nAnswer: -3, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 937 = -5*y + 342, -2*y + 507 = -5*z. Suppose 0 = -0*q + 8*q - y. What is the greatest common divisor of 96 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 8*r**2 + 5*r - 10. Let c be k(-7). Let a be (16\/4 - 7) + c. Solve 0 = 4*u + a + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 237700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10564696813 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -833*a**2 + 3336*a - 3940. What is the derivative of y(g) wrt g?\nAnswer: -1666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -63128, -125719, -188310, -250901?\n\"Answer: -62591*k - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(931) + (2*sqrt(931))**2) - 2*(1*sqrt(19)*6)**2.\nAnswer: 35*sqrt(19) + 17252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-4) - (-38)\/(-152).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -670, -1550, -2634, -3916, -5390?\nAnswer: -7050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 5*h + 37 = 6, -5*l - h + 5 = 0. Is 0\/l*-1 - 76\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8219 - -9184.2. Let f = 965 - p. Put 1, f, 11 in ascending order.\nAnswer: f, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 414366004?\nAnswer: 2, 13, 7968577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(9\/(-6) - -3). Let l be 3 + -3 + x\/(-7). Sort 2\/5, 4, l.\nAnswer: l, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 55 - 225. Let y(g) = 2*g**3 - 361*g**2 + 158*g + 3959. Let w be y(180). Is i greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 190439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 0 - 2) + -1 + 0 + (176 - 157).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6*((-148)\/(-777))\/(2\/7). Let w(a) be the first derivative of 1 + 2\/3*a**3 + a**2 - o*a. Let w(z) = 0. Calculate z.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-2)*20\/(-6). Suppose 5*f + 95 = v*l, -4*f - f - 83 = -l. What is the remainder when (-156)\/f*48\/9 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/(-12)*6 + -2. Let v = 0 + -0.2. Let a = v + 0.3. Is a not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 4*x - 3 + 15, -2*x + 18 = -4*s. Let o be (-2 - 1) + (-6)\/s. Suppose o*q = q. Solve -h + q = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4079804, 4079856, 4079908, 4079960?\n\"Answer: 52*w + 4079752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 8*t**2. Let l(o) = o**2 + 3. Let w be l(0). Let a be 2*(-3)\/8*-8. Let v(m) = a*m - m - w*m. Determine v(h(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 38 + -11. Solve z = 3*f - o - 2*o, -5*f - 4*o = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -27*w**5\/4 - 1489545*w**4\/2 - 82185644199*w**3\/4 - 136935362379*w**2 + 209976580605*w - 73036253400 = 0. What is w?\nAnswer: -55165, -8, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 529, -736.1, -0.1.\nAnswer: -736.1, -0.1, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5125 by -8018.\nAnswer: -5125\/8018","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -b82 (base 15) to base 16\nAnswer: -a25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(2052)*-4 - sqrt(2052))*-4)\/(((sqrt(90) + (sqrt(90) - sqrt(90)*-2) + sqrt(90) + sqrt(90))\/sqrt(3))\/sqrt(10)*-5).\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2645594 a multiple of 707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**2 - 6*u - 4. Suppose 2*a + 3 = 5*a. Let v(s) = s**2 - s - 1. Let q(o) = a*p(o) - 4*v(o). Let k(w) = 13*w**2 + 4*w. Calculate -4*k(z) - 9*q(z).\nAnswer: 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m**5 - 1010*m**4 - 34905*m**3 + 1939520*m**2 + 22317500*m - 52097520 = 0.\nAnswer: -113, -12, 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/6)*x\/(x**(-19)*x))\/(x**(1\/7)\/(x\/(x**(-12)\/x*x))) assuming x is positive.\nAnswer: x**(1345\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes before 5:24 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes after 1:25 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1)\/(-3) + (-28)\/3. Let y(i) = -19*i - 2. Let h be y(-1). Let n = h + a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 - 4*t**2 + 2*t - 3. Let z be u(4). Suppose z*a - 25 + 15 = 0. Suppose -6*m + a = -5*m. Solve m*q + 5*s + 6 = 0, -4 = -4*q + s + 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -606 or -605?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 104721, 104723, 104727, 104733, 104741?\n\"Answer: o**2 - o + 104721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*v**3 - 91*v**2 - 5*v**2 - 128*v - 13*v**4 + 11*v**4.\nAnswer: -2*v*(v + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 23973 and 48?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 285399*t - 142693*t - 142752*t.\nAnswer: -46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (238\/(-357))\/(2\/15). Put -45, l, 3, -1 in ascending order.\nAnswer: -45, l, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 13*i**2 - i + 4. Let m be f(-13). Let q = 9 + -19. Let g = q + m. Calculate the greatest common divisor of g and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*(-7)\/(-1134)*6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 9*y = 13*y - 13, 2*n + y - 12 = 0. Let w(p) = p**2 - 26. Determine w(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33869 - 3*w**2 - 67770 + 33901.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1114 - 1?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18492521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -5*j**3 + 10*j**2 - 17*j + 21. Let t be s(5). Let k = 449 + t. Solve k*w = -0 - 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = m**3 + 46*m**2 - 18*m - 135. Let z be (-16)\/(96\/275) - 1\/6. What is the units digit of i(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 4*v**2 - v - 3. Suppose -2*r = -2*q + 4, r - 4*q = -4*r - 5. Let z be c(r). Solve 0*m + 3 = z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 196.0475mm in nanometers?\nAnswer: 196047500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 18 = 2*f, 7*f - 2*f - 30 = -5*m. Sort 3, -10, f in decreasing order.\nAnswer: 3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a**1\/a)\/a)**(-4\/9)\/((a*a**(1\/2))\/(a**(-5)*a)))**(-30))**22 assuming a is positive.\nAnswer: a**(10010\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 9:05 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12254, 17597, 22940?\nAnswer: 28283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*x - 108 = 32*x. Suppose -43*a = -37*a - x. Solve -5*h + a*h = -10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 + 0.06. Let v = 0.08 - i. Let r = v + -0.02. Round r to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**2 - 164879224*q - 164879222 = 0. What is q?\nAnswer: -82439611, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 68837, 137815, 206783, 275735, 344665?\nAnswer: 413567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -13*j**2 + j + 4. Let f(i) = -7*i**2 + 2. What is -4*c(s) + 7*f(s)?\nAnswer: 3*s**2 - 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1212*s = 466*s - 6714 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 230656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440*l + 1327 = 197*l + 193*l - 573 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -42 + 41.99999911. Round f to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 105*m - 3865. Calculate the remainder when b(40) is divided by 224.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7663.4719 + -7663. Round u to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -12  (c) -7  (d) 5\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 57528347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 3 - 3 = 0. What is the fourth smallest value in h, -14, -5, 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 199861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/((-10)\/((-10)\/(-2))). Solve 2*l - 6*u - j = -2*u, -3*l + 6 = 2*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 4*k**2 - 3*k - 3. Let p(r) = r + 15. Let l be p(-17). Calculate the remainder when m(4) is divided by 124\/5 - l\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 1:57 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 1)*(-9 + 4 + 1)*(4*h - 5*h + 5*h + 3*h + 6*h - 4*h + (-2*h - h + 5*h)*(3 - 1 - 1) + 14*h - 4*h + h).\nAnswer: -176*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2620 - 2591. Solve 3*d - v = -l + 6*l, -l - 19 = -5*d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Suppose -3477 - 10523 = w*q. Round q to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 38 + -3 - (90 + -33 - -32).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-90)*-4*(-10)\/(-206). Let i = h + -1226\/1545. Find the common denominator of 44 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + 4 + -3*(-2*sqrt(243) + 2) + 4).\nAnswer: 12 + 162*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(102)*1 - sqrt(102) - sqrt(102))*-6)\/(-2*sqrt(6)*-3) + -3 + 4 + -2.\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {v: 2, a: 1, h: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 113133 (base 7) to base 8\nAnswer: 47526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 38*w**2 - w - 1. Determine c(-1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18 by -209.\nAnswer: 18\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 420067324 divided by -2\nAnswer: -210033662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -16  (b) -1\/3  (c) 5  (d) 1  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 60.64, 0.081, 4, -1\/9, -4 in ascending order.\nAnswer: -4, -1\/9, 0.081, 4, 60.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32641 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 430 - 872 = 0. Let l = -104 + s. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of n**5\/40 - n**4\/12 - 2*n**3 + 6. Let i(q) be the third derivative of h(q). What is i(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 20*i - 15*i. Suppose -2*l + i*z = 5, -2*l - 7 = 2*z + 5. Sort l, 3, 1.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from {t: 12, x: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 147 = -5*q, 92 = 3*q - 5*y - 0*y. Let i = -15 + 21. Suppose 0 = -m + i*m - 80. What is the remainder when q is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2331124 - 1155?\nAnswer: 2325525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 203946783*n**3 + 89975*n**2 + 2*n + 78 wrt n.\nAnswer: 1223680698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -109.82 times 0.079\nAnswer: -8.67578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(4 + -3 + 0 + sqrt(19) + sqrt(19) + (0 + sqrt(19) + 0)**2).\nAnswer: 4*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1166459914 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -7*l - 48. Let p(z) = -7*z**2 - 7*z + 1. Let b(y) = -8*y**2 - 8*y + 1. Calculate l*p(w) + 5*b(w).\nAnswer: 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of 49*w**3\/6 - 27*w**2 - 21*w - 2. Let b be l(1). Do -5 and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 19 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1843.63 - 1816. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 2*a**2 + 10. Let h be o(0). Solve -14 = -5*q + 2*r + 2*r, -2*r = -4*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 8:58 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 7, m: 7, j: 3, u: 2}. What is prob of sequence mju?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 12:11 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 14*m - 11. Let l(p) = p - 1. Suppose -v = 3*a - 61, a + 4*v = 2*v + 12. Let z(c) = a*l(c) - 2*x(c). Let d(h) = 3*h + h - 3*h. Give d(z(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of u**6\/48 - u**5\/10 - u**4\/16 + u**3\/2 + 9*u**2\/16 + 19. Determine q so that f(q) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)*-4 - (3 + sqrt(32))) + -3.\nAnswer: -20*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -1\/6, 0.2, -1\/4, -1, 4\/51?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 2234 = 2264 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tbtttqqbtbqubbt. What is prob of picking 1 b and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand v - v + v**4 + (-v**3 - 2*v**3 + 0*v**3)*(-2*v - 1 + 1) + 0*v + 12*v**4 + 0*v.\nAnswer: 19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 times 416?\nAnswer: 60320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*c - c - 12. Let j = -9 - c. Suppose -5*t + 122 + j = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3297\/4 - 824. Let k = -8.2 - -1.2. Let w = -1 - k. What is the nearest to t in 0, w, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, v: 2, n: 1, x: 2, u: 1, i: 2}. What is prob of picking 2 v?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 0, 17.901, -443.\nAnswer: -443, -0.1, 0, 17.901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6501694 + 44307796 = 5*j. Let u(x) = -208973*x**3 - 43*x**2 - x + 11. Let c be u(-3). Let d = c - j. Round d to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 862*c - 860*c - 4*x = -16, 0 = 4*c + 4*x + 44 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 36 (base 16) to base 5.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 9*p + 46. What is the least common multiple of 56 and j(6)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 346 and 2116292738.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260 = 606*l - 586*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -100 + 108. Suppose -3*v = -5*j - s*v - 35, -9 = -3*v. Let z be 75\/15*(-4)\/j. Solve 0 = -z*w - 5*r + 10 + 7, -3*r + 11 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 AM and 2:57 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 8, a: 3}. Give prob of picking 1 a and 1 b.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -78*a**4 - 158*a - 2?\nAnswer: -936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4051.703ug in kilograms?\nAnswer: 0.000004051703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 125 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: What is 2397 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.2 - -1.6. Let k = 0.5 + -2.5. Which is the biggest value?  (a) k  (b) 2\/7  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, q: 1, i: 1, x: 1}. Give prob of sequence xaiu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -6 + -5 + (3 - -5) - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425) + 0 + -1*(sqrt(17) + -2))**2.\nAnswer: 16*sqrt(17) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 - 9*c - 3. What are the prime factors of m(19)?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 246 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 6 - 10*j**2 - 22 + 10 + 3 + 18*j - j**3. What are the prime factors of k(-12)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 32, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9\/4 - -23\/12. Let b = -5581 + 5566. What is the nearest to -1 in -2\/11, i, b, -2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m - 1. Let h be j(0). Let r(v) = -2*v + 1. Let i be r(2). Let c be -700001 + h*3\/i. What is c rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 8050 = -4*x. Let s = 18695 + x. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13190151 is divided by 2019?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86800.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 8050, 8062, 8078, 8098?\n\"Answer: 2*m**2 + 6*m + 8042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-21668)\/4800 + -6 + 9. Let g = a + 54\/25. Calculate the common denominator of 13\/8 and g.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3539, 15874, 36425, 65186, 102151, 147314, 200669?\nAnswer: 262210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 652, 615, 518, 331, 24, -433, -1070, -1917?\nAnswer: -3004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -14\/41?\nAnswer: -14\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j**(5\/6)*j))\/(j*j**(-2)\/j) assuming j is positive.\nAnswer: j**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -203131, -203255, -203379?\n\"Answer: -124*t - 203007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/3)*i\/(i*(i\/(i*i**(2\/27)))\/i)*i*(i**(-1))**(-14\/9))\/(i*i**(-1\/4)*i*i\/i**(-3)*i*i\/(i**(1\/4)*i*i)*i*i**(1\/4)) assuming i is positive.\nAnswer: i**(-265\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and 32838?\nAnswer: 32839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4874 - 5?\nAnswer: 486b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tg when two letters picked without replacement from ggggghhtxxhhhxt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19888 = 16*s - 27*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 146534.262 to the nearest one thousand.\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 7, -1 in decreasing order.\nAnswer: 7, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggvg when four letters picked without replacement from pvppggg.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100 = 5*d - r - 4*r, 938*d + 3*r - 68 = 945*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 6310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (sqrt(275) - (sqrt(275) + 1))*-3*-3)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1591, 4249, 6907, 9565, 12223, 14881?\nAnswer: 17539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 78, 0.\nAnswer: -3\/8, 0, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -13.18 + 11.1. Let d = -0.07 + 0.15. Let n = c + d. What is the third biggest value in -1\/5, n, -1\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2 + 127695*h - 27917244.\nAnswer: -(h - 127476)*(h - 219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2267.5593 months in millennia?\nAnswer: 0.188963275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z = 2*p - 5, 11*p - 15*z = -17*z + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 48 * 4\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 120 - 88 = 0. Suppose 0 = 5*d - 2*l + 320 - 1464, 5*d = 4*l + 1138. What is the second derivative of -3*o - d*o**3 + 18*o + q*o**3 - o wrt o?\nAnswer: -132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 12 = -m. Suppose 0 = 4*s - 5*q - 37, 3*q + 8 = -s - 4. Calculate the highest common divisor of s and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 602*f*h**3 + 11*f + 2*h*z + 19*z with respect to h.\nAnswer: 1806*f*h**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 5*y**2 + 27*y - 2. Calculate k(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19140102 a multiple of 477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12971 + 18388. List the prime factors of k.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*t**3 + 44*t**3 + 16*t**3)*((1 - 1 + 2)*(t - 4*t + 2*t) - 3*t - 3*t + 5*t) as x*t**3 + p*t**2 + i*t + k*t**4 + c and give k.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/15)\/(-1*6\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -83, -0.4, 5\/6, 2\/274107?\nAnswer: 2\/274107","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1))**(2\/15))**(-1\/66)*(c\/c**1*c)**(4\/3)\/(c**(2\/13)*c*c**(-2\/17)*c) assuming c is positive.\nAnswer: c**(-76669\/109395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 252 a factor of 7076664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 10:09 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o - 4. Suppose -v + 4 = 1. Let q be k(v). What is the tens digit of (-2)\/(0 - q\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3751 - 158. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -3113906.\nAnswer: 2\/1556953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -6*m - 13. Suppose -12 = -m*b, -3*z + b + 4*b = 8. Find the second derivative of z*v**4 + 4*v**4 - 2*v**4 + 3*v wrt v.\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 98*m**2 - 3*m + 2. Let c(g) = -2*g**2 - 13*g + 8. Let b be c(-7). What is the tens digit of u(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -11 + 107. Calculate the highest common factor of d and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 104*x - 5527. Calculate k(54).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (14 - (5 + (-11 - -17))) + 5 - 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 41*v - 3*k - 2*k + 159, 0 = -7*v - 4*v + 15*v - 3*k + 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 403.52 - 41.12. Let m = r + -362. Which is the closest to 1?  (a) m  (b) -10  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -38 - -53. Let x be 81\/j + (-4)\/10. Suppose 0 = x*d - d - 128. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 - 7*i - 6. Let w be n(8). Let l be w*2 - 1\/1. Suppose -2*z = -z + 2, l*z - 22 = -2*k. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 2*f**3 - 3*f**2 - 4*f + 23. Determine u(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 41 in 0.2, 10, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 8*n + 132 = 0. Let a(l) = 4*l + 13*l + 6*l - 4 - n*l. Let h be (-1)\/3 + 10\/3. Calculate a(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 2 f, and 1 n when four letters picked without replacement from {b: 1, f: 6, x: 2, n: 3}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iiis when four letters picked without replacement from fifssiffssslsiifffss?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*l + 158*l + 13*l + 163*l in the form b*l + s and give b.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*p - 760 = -280 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/((-5 - (-3 - 0))\/14). Calculate the greatest common factor of j and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1399*k = -976*k - 4058*k - 128660 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -120 + 16 - (-18 + -1 + 25 + -5).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6108*f**2 - 12*f**3 - 2948*f**2 - 3160*f**2.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 261 and 108200769.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 54.22713s in minutes?\nAnswer: 0.9037855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14471116 (base 8) to base 16.\nAnswer: 32724e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4\/(-26) - (-249)\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3\/4)\/(1 + (-20)\/32). Let i be 45 - (-4 - 1)*1. Suppose -2*b - 42 = -i. Solve 0*v + b*y - 12 = -5*v, 3*v - 6 = -c*y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29500 rounded to the nearest one thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1677, 6052, 13317, 23466, 36493, 52392?\n\"Answer: -g**3 + 1451*g**2 + 29*g + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -0.079\nAnswer: 0.0395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24285 and 960?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 126547 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 9*m**2 - 3*m - 2. Let h(o) = 11 - 37*o - 15*o + 10*o + 75 - o**2. Let d be h(-44). Determine t(d).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 16990, 17113, 17236, 17359?\n\"Answer: 123*l + 16867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -5*b + 4 - 29, 2*f - 4 = -b. Let p be 324\/(-16)*24\/(-9). Suppose p = -m + 7*m. Solve s - f*r + 13 = -6*r, 3*r = 3*s - m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -15*w + 288. Give v(22).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-42) - 7\/(-3). Let o(c) be the first derivative of 23 + 128\/21*c**3 + 2\/7*c - r*c**2. Factor o(l).\nAnswer: 2*(8*l - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8 + -6 - (0 - 0 - 20). Suppose -3*d - 34 + 7 = -o, 25 = o - 2*d. Is c equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -31*h + 40. Let d(t) = 9*t + 33. Calculate the remainder when r(-5) is divided by d(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/28*(-42)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142479 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + 7. What is the remainder when (-1 - 2\/8) + (-21079)\/(-428) is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1665840781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -253.0968 - -253. Let a = -0.1 - g. Round a to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-64)\/8 - -16) + 3*-1. Let p(v) be the first derivative of 1\/8*v**6 + v**3 + 9\/8*v**4 - 13 + 0*v + 3\/8*v**2 + 3\/5*v**y. Let p(t) = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1254)\/22*((-32)\/(-12))\/8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9bb0 - d?\nAnswer: 9ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -aa205?\nAnswer: -aa205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -20235474, -20235468, -20235462, -20235456, -20235450, -20235444?\n\"Answer: 6*v - 20235480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/456 and -107\/70954?\nAnswer: 16177512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of 3*r**5\/100 - r**4\/20 - r**3\/10 + 3*r**2\/10 + 30*r - 45. Let n(k) be the first derivative of z(k). Find b such that n(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 22\/(-3) + 13\/(39\/(-2)). Are -6 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44398 is divided by 617?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37383990 divided by 4690.\nAnswer: 7971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = -5*q + 3*v + 235, 3*q - 4*v = 170. Suppose 635*s = 625*s + q. Solve -8 = -3*h - 4*k - 16, -s*h = -2*k - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 7. Solve a*h = -4*h - 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1908 + 2732. Is k\/7 - (-20)\/70 prime?\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 131447862?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21587*m**4 + 4*m**3 + 2*m**2 + 47041*m wrt m.\nAnswer: 518088*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 632044 is divided by 1073.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 4008 + 564. Which is smaller: y or -1720?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 26.1 times 0.1\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -205*w + 1647. Let u be m(8). Is u < 287\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -122, -239, -356, -473, -590?\n\"Answer: -117*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 293*s**2 - 52259*s + 3901. What is c(418)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2149762522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1532\/23 - -13696\/207. Let k = -0.1 - -0.1. Which is the second smallest value?  (a) u  (b) 2\/7  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuuuuluvuuguuuglvu. What is prob of picking 1 v and 2 l?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 324*u**4\/7 - 3852*u**3 - 105080*u**2\/7 - 121984*u\/7 - 44544\/7 = 0. Calculate u.\nAnswer: -2, -8\/9, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mhs. Give prob of sequence shm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve x = 4*t - 7, 7*t - 3*t = -5*x - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*377\nAnswer: 150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 8*n - 14. Determine p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {q: 5, s: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 5*y = -y - 80, q - 5*y + 3*y + 4*y = 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 5)*(-3*q - 2*q + q).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -21896367, -43792753, -65689151, -87585567, -109482007, -131378477, -153274983, -175171531?\n\"Answer: -y**3 - 21896379*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -7*s**2 - 9*s - 10. Let n be ((-665)\/40)\/(-7) + (-6)\/16. Let x(w) = -3*w + 8*w - 57*w**n + 5 + 61*w**2. Determine -6*g(z) - 11*x(z).\nAnswer: -2*z**2 - z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2474 = 2*h - 1424. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.015 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 6:34 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103545282 divided by 1.\nAnswer: -103545282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1031956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*f - 65 = -2*f - 165 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10?  (a) 5  (b) -6  (c) -33\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-6))\/((-25)\/(-15)*-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.2 - -2. Let x = 0.03 - -0.07. What is the nearest to f in x, -2, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13528 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 244913383 to the power of 1\/2, to the nearest integer?\nAnswer: 15650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 321144 is divided by 3200?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 239782993 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11073090 divided by 6.\nAnswer: 1845515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 297012 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 44503 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59 (base 11) to base 5.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4946180 rounded to the nearest ten thousand?\nAnswer: -4950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 9:07 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2*(2 - 5)\/15. What is the third smallest value in k, -1\/4, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*y = 0, -2*y = 76*i - 80*i + 6. Let q = 10 - 4. Let g be ((-2)\/4)\/((-1)\/q). Solve 2 = g*n - i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 507399 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -28 + 29. Which is the smallest value?  (a) 2\/15  (b) w  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*b**2 + 107385*b + 42950 = 0. Calculate b.\nAnswer: -4295, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (370\/(-50) - -8)*590 is divided by 53?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-6)\/7)\/((-5)\/(-7)))\/((-38)\/95)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 138 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 519153806\/3 != 173051270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -245*y**2 - 50*y**2 - 114*y**2.\nAnswer: -409*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -185\/54264 and -115\/4522?\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -414. Let i = m + 401.0078. What is i rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15448106+-383356\nAnswer: -15831462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 11 - 32 = 3*u, 3*l - 13 = 5*u. Suppose 21 - 3 = l*z. Solve -2 = h + z for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 - 10*o + 11. Let w be c(9). Let h(p) = p**2 - 3*p + 3. Give h(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25760 divided by 560\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q + 406 = 412 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 505920 a multiple of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.0396  (b) 2\/953  (c) -3\/5  (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1977\/830 + 3\/166. Let z(k) be the first derivative of 0*k + 0*k**4 - r*k**5 - 14 - 3\/2*k**2 + 0*k**3. Find the second derivative of z(y) wrt y.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-16)\/(-5))\/(-4))\/(63\/(-35) - 0)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -5*m - 20, 4*g + 2*m - 3*m - 4 = 0. Suppose -t = -3*o - 49 - 51, g = -o + 4. What is t rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -58520.758 + -2.0898\nAnswer: -58522.8478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 7*d - 24. Determine f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y\/(y\/(y**(-7)*y)))*y*y*y*y*y*y**(-2\/9))**(-30) assuming y is positive.\nAnswer: y**(-1060\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -103*t**2 + 3616*t + t**3 - 202*t**2 - 3616*t.\nAnswer: t**3 - 305*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*a**3 + 44*a**2 + 720*a.\nAnswer: -4*a*(a - 20)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.22  (b) -0.01  (c) 4  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.11, -273, -1, 0.1, -174\/11 in ascending order.\nAnswer: -273, -174\/11, -1, -0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 3*c**2 - c - 1. What is the smallest common multiple of 3 and q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -467795*n**2 - 13566050*n + 145 = 0. Calculate n.\nAnswer: -29, 1\/93559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2306, -2268, -2230, -2192, -2154?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7400404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (11 - 23) + 110 - (-22 + 57)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/7)\/((-16)\/((-8288)\/(-111)))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (59 - 128) + (8 - (12 + -22))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -8*u + 9*u + 22142, 3*i + 3*u = 13296. What is the highest common divisor of i and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1129708\/3 or 376570?\nAnswer: 376570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 12373999031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*l = -27*l - 250. Let n = l + -45. Let o = n + 0. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/11 - 58*b**4 + 234*b**3 - 3226*b**2\/11 + 1292*b\/11 = 0. Calculate b.\nAnswer: -323, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 12 = j. Let r be (-5)\/j*(-4)\/5. What are the prime factors of 260\/22 - r\/11?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mf when two letters picked without replacement from mpxfmmpbpfmmppexmppp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -210 + 249. Suppose -4*c = 3*u, -4*u + 2*c = 4*c. Suppose -5*o + 6 + 44 = u. Calculate the remainder when d is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4505410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -24\/4795 and 77\/370.\nAnswer: 354830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2543559448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(117)*-1 - 1*sqrt(117)*-4)\/(sqrt(81) - -1*1*sqrt(81)) + -5 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 60*(-73)\/(4672\/(-48))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (z + 4 - 4)*(-125 - 32 + 43)*(5 - 3 + 20)*(3 - 7 - 1 - 11) to the form l*z + h and give l.\nAnswer: 40128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -36.3 - -41.3. Suppose -2*x = -0 - 2. Put x, o, 0.5 in descending order.\nAnswer: o, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -306?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 31 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 9*t**2 - t + 12. Let a be g(9). Find the first derivative of 4 - 4 - m**a + 1 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 e, and 1 x when four letters picked without replacement from {q: 3, c: 3, e: 1, o: 5, x: 1, r: 1}.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, p: 2, h: 1, n: 6, o: 2, i: 1}. Give prob of picking 1 h, 1 p, and 1 c.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -366 + 170 + 197 + 22*i + 43*i**4 to q*i**2 + c + u*i**3 + a*i + o*i**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccjgccccgcg. Give prob of sequence ccjc.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g + 5. Let f be b(0). Suppose -p - 2*p = f*j - 201, -5*j + 2*p + 191 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(95) - ((sqrt(95) + sqrt(95)*-1)*-2 + sqrt(95)))\/(-1*(-1*sqrt(5) - sqrt(5)) - sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 349*p - 687*p - 72 = f - 354*p + 25, -7 = f - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4273 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/((v**6\/v)\/v))\/v)\/v**(-1\/5)*v**(1\/4)\/(v*v*v\/(v**1\/v)*v))**(12\/11) assuming v is positive.\nAnswer: v**(-453\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 863677 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -10.2 and -2633543.\nAnswer: -2633553.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 79089, 79041, 78981, 78903, 78801, 78669, 78501, 78291?\n\"Answer: -g**3 - 41*g + 79131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*c**3*r + 9*c**3 + 14*c**2*r**3 - c**2 with respect to r.\nAnswer: -7*c**3 + 42*c**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 12:55 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-4)*26\/(-13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79.622004 rounded to 3 decimal places?\nAnswer: 79.622","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1032344454 (base 6) to base 14\nAnswer: -167565c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2799 by 4288.\nAnswer: -2799\/4288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 7697 = 2*y + 10715, -9200 = -c + 4*y. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*h + 5*a, -10 - 5 = -2*h + 3*a. Let o be -3*(h + (6 - 2)). Is o >= -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -9*m**2 - 7*m + 87. Let d be (-1)\/(-2) - 31\/(-310)*25. Let x(j) = 4*j**2 + 3*j - 44. Calculate d*h(b) + 7*x(b).\nAnswer: b**2 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/16, 0.01, 0.3, -2, -89 in decreasing order.\nAnswer: 0.3, 0.01, -1\/16, -2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2, -2\/3, 3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-702)\/630)\/(-13)*5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -150, 89, 2, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/20)\/(4*3\/(-120)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -2*h + 13, 0 = 18*h - 13*h - 5*p - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = r + n, -25 = -5*r + 3*r + n. Suppose r + 24 = 3*l. Solve -h - 2*h - l = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 261 + -125. Suppose 3*z - 148 = -h. Solve z*c + p + 1 = 7, -c = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 + 13*x + 3. Let s be z(10). What is the first derivative of s - 665 + 30*p + 321 wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442688138?\nAnswer: 2, 827, 267647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -2*h - 3*h - 8, -5*i = h + 10. Suppose h = 8*c - 4*c - 1120. What is the highest common factor of c and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 622 and 30482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 373 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20149.\nAnswer: 20149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (35 + -3 - 1) + (-3 - 4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -211, -422, -635, -850?\n\"Answer: -x**2 - 208*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 6 + 0 = 0. What is the first derivative of -l - 2 + 2*n**4 - 3*n**4 wrt n?\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-9)\/(a*a*a**5\/a*a)*a**(-2\/7)*a**(2\/17))**(-7) assuming a is positive.\nAnswer: a**(1924\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*q + 10*q + 13*q - 119 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3111845 divided by -3?\nAnswer: -3111845\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n - 4. Let d be (6 - 5) + -7*1. Let c(f) = f + 3 + 2 - 4. Determine d*c(l) - 2*w(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3  (b) -3\/4  (c) 0.4  (d) -10\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 13*n - 1. Let s(x) = -x + 6. Let c be s(5). Let t be d(c). Solve -3*m - t = -w, 5*m + 15 = -2*w - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170693951 divided by 6\nAnswer: 170693951\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -167, -236, -361, -548, -803, -1132?\nAnswer: -1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 6*v**3 - 6*v**3 - 5*v + 12 + v**3 - 3*v + 6*v**2. Let x = 6 - 1. List the prime factors of j(x).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 36225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 460 = -281. Round z to the nearest 10.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*f + 6660280 = -36*f. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 72\/13 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, y: 5, j: 4, w: 1, t: 1}. What is prob of picking 2 j and 1 s?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-12)\/(-16))\/(1\/56). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 807143606 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2641 + -2646. Let r(x) = -5*x**2 + 4*x - 3. Let k(j) = 5*j**2 - 5*j + 4. Determine d*k(m) - 6*r(m).\nAnswer: 5*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2708 = 4*d - g - 2*g, g - 2018 = -3*d. What are the prime factors of d?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*((-8)\/56)\/(2\/7). Let s be (-2)\/i*8\/(2 + 2). Solve -3 = -s*o + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 800172 and 868?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3775827 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**7\/42 - 4*r**3 + 4*r**2. What is the first derivative of b(l) wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2678826 is divided by 191331?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 8  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 87024004?\nAnswer: 2, 653, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2196 divided by 2196.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of -2*m**5\/7 + 3*m**4\/2 - 8*m**3\/21 - 3171. Factor f(o).\nAnswer: -2*o**2*(o - 4)*(5*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 999\/7 - 143. Which is the nearest to -5\/6?  (a) 0  (b) j  (c) 4  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1580  (b) -1  (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 298194554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 2*b**2 - 3*b + 3. Suppose 0 = a + 19 - 10. Let m be (-4)\/(-6) - 12\/a. Determine v(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w**3 - 7*w**2 + 10*w. Let b be -1 - ((-1)\/3 + (-221)\/39). Let i be d(b). List the prime factors of 146 + 1 + (i - 2\/(-2)).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 + 3*c**3 - c**2)*(4*c**2 - 2*c**2 + 0*c**2) + (2*c - 2*c - c**4)*(-c + 2*c - 3*c) - 72*c**5 + 175*c**5 - 78*c**5.\nAnswer: 33*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*g + 2*g - 4*g)*(-g - g + 0*g)*(-15*g + 12*g + 0*g**2 + 2*g**2) - 4 - 3*g**4 + 4 in the form o*g**2 + a + p*g + j*g**3 + n*g**4 and give j.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, t: 7, f: 2, d: 6, q: 3}. What is prob of picking 1 t and 2 d?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -3.1. Let t = -13 + 18. Let q = 2.3 + -1.3. What is the closest to q in 1\/6, g, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, -2, -2\/7.\nAnswer: -2, -2\/7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 377499548 a multiple of 2093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 9*c**2 + 7*c - 14. List the prime factors of t(7).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(((-2)\/(-11))\/(-2)). Suppose -3*k + z = 5*w - 11, -30 = -5*w - 5*k. Is 1 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.75 * -5.\nAnswer: -3.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 133410852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1089808?\nAnswer: 2, 68113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 5, -5, -95?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ddjjjj. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.453595l in millilitres?\nAnswer: 7453.595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 117, 510, 1169, 2094, 3285, 4742, 6465?\nAnswer: 8454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1238.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 1315\/56809 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h - 3. Let a be 18\/99 - (-35)\/(-11). Determine w(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 494996 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23.4 + -4.1. Let i = m + 27. Which is the smallest value?  (a) -3  (b) -13  (c) i  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = 3*b - 4*f, 4*b - 5*f + 86 = -22. Let w = b - -17. Let a(l) be the first derivative of -l**4\/4 - 2*l**3 - 2*l**2 - l - 2. Determine a(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5 + -5 - -242 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -299, 98, 1263, 3580, 7433, 13206?\nAnswer: 21283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 699, 700, 701?\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4481455 a multiple of 576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -3)\/(-20) - 6783\/35. Let n = v + 185. Which is greater: n or -84\/11?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2cbd (base 14) to base 4.\nAnswer: 1331013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18, 2, -160.\nAnswer: -160, -18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.313*-1.\nAnswer: -0.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = n + 179 - 427, 4*n = -4*i + 496. Suppose m + i = 5*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11, 29, 69, 137, 239, 381?\n\"Answer: p**3 + 5*p**2 - 4*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {s: 1, g: 2, t: 3, q: 4, m: 4}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 520 - 101 - 2*z**2 + 12*z + 13*z.\nAnswer: -2*z**2 + 25*z + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*g - 8*g - 795. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m + 3*m - 4*m + 2 + 1 + 0*m to the form a*m + j and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 4*d - 4. Suppose 3*b + 2*q = -2*b - 28, b + q + 5 = 0. Let j(f) = 2*f**2 + 9*f + 9. Calculate b*j(p) - 13*l(p).\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0112795737 rounded to four decimal places?\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 52795 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -27565204.9 to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -9*p**3 + 6*p + 20. Let b(h) = -3*h**3 + 2*h + 7. Calculate -17*b(i) + 6*q(i).\nAnswer: -3*i**3 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = a + 3*f, 0 = 5*a + 6*f + 58 - 162 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 6:26 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-9)\/(-6))*24. Let q be (3\/(-2))\/(6\/s). Let b = q + 3. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10670 divided by -77?\nAnswer: -970\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.1 and -33.\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25173, -2, 29, 0, -54 in decreasing order.\nAnswer: 29, 0, -2, -54, -25173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 588*i**3 - 2*i**2 - 39*i + 134. What is the hundreds digit of f(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1773 divide 43199329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together 803.1 and -8550327.\nAnswer: -8549523.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4 + -7)*4\/6. Let h be -264*(-12)\/168 - 1\/(-7). Suppose -h*z + 1 = -20*z. What is the biggest value in 3, q, z, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 131*x - 20*x - 83*x.\nAnswer: -234*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -184791 + -54358. Let q = 123851 - i. Round q to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*y - 6*y - 9*y in the form q + m*y and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 372\/27 - 4\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the first derivative of -3*s - 2 + s + 5*s - s**2. Give c(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17\/4 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -43 + ((-15 - -27) + 0 - 18)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is 56 (base 12) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 + c**2 - 2*c - 1. Let g(n) = -7*n**3 + 3*n**2 - 6*n - 4. Calculate -g(p) + 3*i(p).\nAnswer: 4*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wmivhmc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from xtxxtllxtxxxtxt.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -139 + 137. Which is bigger: q or -30?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {w: 2, b: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 4  (b) -0.3  (c) -6\/23  (d) 3929  (e) -0.14  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-69)\/230)\/(1\/(-2)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the first derivative of 1905*q**2 + 316. Let s(p) = 2*p. Give t(s(b)).\nAnswer: 7620*b","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let x be (-8 - 462\/(-56))*44. Solve -48 = -3*s + x*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -221 + 13102?\nAnswer: 12441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c + 20. What is the units digit of v(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 693 and 5071.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-1 + sqrt(304) - sqrt(304))**2 - (((-3*sqrt(304) - sqrt(304)) + 2)**2 + sqrt(304)))*3*4*3.\nAnswer: -175176 + 2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3255618055 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -50915\/2 or -25458?\nAnswer: -25458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -54, -109, -202, -321, -454, -589, -714?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(((z*z**(-11\/3))\/z)\/z*z)*z**(-2\/3))**(7\/3))**3 assuming z is positive.\nAnswer: z**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c - c + 26*c**3 + 14*c**3.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 44147957 to the nearest integer?\nAnswer: 6644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 58247.\nAnswer: 232988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7567 divided by -206?\nAnswer: -7567\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v + 8*v = 4*b - 15, 3*b + v = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32\/2000)\/((-3)\/(-75)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -245  (b) 0.4  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 7*p + 14*p**2 - 2*p - 71*p**2 - 3*p - 6. Let t(z) = -56*z**2 + z - 4. Let b(n) = 2*k(n) - 3*t(n). Let c(q) = 3*q**2. Determine c(b(g)).\nAnswer: 8748*g**4 + 324*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**2. Let h(s) = 3*s - 6. Let x(j) = -1. Let c(z) = h(z) - 6*x(z). What is r(c(l))?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (94\/(-376))\/(18\/(-12) - 2\/1).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 186 + -183. Solve 20 = k*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -5*n - 15, -5*n + 2*i = i. Sort -3, 0, n, 5 in increasing order.\nAnswer: -3, n, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1064 - 19717.48.\nAnswer: -18653.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*-2*sqrt(420))\/(sqrt(250)*-1))\/((sqrt(54) - ((sqrt(216)*-1)\/sqrt(4) + sqrt(54)))\/(sqrt(18)\/sqrt(8))).\nAnswer: -3*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**5*w - 1902*i**4*w + 10*i*w - i + w + 27 wrt i.\nAnswer: -40*i**3*w - 22824*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-2) - 3) + 2. Suppose 9 = 5*c - v. Find the third derivative of -c*k**2 - 3 + 2*k**3 + 3 wrt k.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.014431562 to 4 dps.\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-565)\/678*(-300)\/1850*1\/10?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9504 and 21186.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79902\/5 - 15980. Sort w, 25, -3.\nAnswer: -3, w, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 85, 92, 111, 148, 209?\n\"Answer: m**3 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 73769\nAnswer: 3\/73769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*l**2 + 4*l**2 + 0*l**2 + (l + 36*l + 24*l)*(17 - 17*l - 17) to the form w*l + g + j*l**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**2 + c**2 - c**3 + (0*c**2 + 0*c**2 + 2*c**2)*(3*c - 4*c + 2*c) - c + c**3 + c + c**3 - 30 + 30.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9  (b) 15  (c) 3  (d) -11036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of s**3*x**3 - 7741*s**3*x**2 - 31889*s*x**4 + x**2 wrt x.\nAnswer: 6*s**3 - 765336*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4326.87 plus -1657539?\nAnswer: -1653212.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 971.3937 centuries?\nAnswer: 9713.937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - l**2 + 4)*(-48681*l**2 + 24337*l**2 - 65*l**3 + 24241*l**2).\nAnswer: 65*l**5 + 103*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 + 3 + 3 - 6) + 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -10 in 4, -3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 31233 - -9110. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 9 = -0*z. Let l = -27 + 55. Let j be 2\/z - l\/(-12). Solve 4 = j*f - f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from {i: 1, u: 11, t: 3}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = 5*c - 160. Let b(w) = -w**2 - 7*w - 5. Let x be b(-5). Suppose -x*r + 105 = 20. What is the remainder when c is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 435643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 48.25 and -4995.\nAnswer: -241008.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add together -694488 and -136.\nAnswer: -694624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 761220525?\nAnswer: 3, 5, 13, 61, 12799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3003848?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8883*j**5*z + 102*j*z + 63*j wrt j.\nAnswer: 177660*j**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5948*r**2 - 12563*r**2 - 1032*r**2)*(0*r + 0*r - 3*r**2) in the form u*r**3 + p*r + x*r**4 + a + o*r**2 and give x.\nAnswer: 58629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.907 + 5.907. What is the nearest to 1 in -0.19, h, -8, -0.2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 7*o + 371. Let p(z) = 6*z + 368. What is 7*j(b) - 8*p(b)?\nAnswer: b - 347","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**2 + 5*l + 2. Let c be u(3). Let s be ((-1)\/(-2))\/(2\/c). Let w be (4\/2)\/s*0. Solve w = 5*v + 2*r + 2*r - 37, 1 = 2*v - 3*r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 157 - 165 - 73*q.\nAnswer: -73*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.023 - -9.723. Let h = f - 1.7. Let k = h - 7.99955. Round k to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20744 and 4?\nAnswer: 20744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -17 - (23 - (30 - 13) - (17 - 0))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -71106, -71111, -71118, -71127, -71138?\nAnswer: -71151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 34 - 38. Suppose 11 = 3*c + 2. Put -3, s, c in decreasing order.\nAnswer: c, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5944832, 11889671, 17834530, 23779415, 29724332, 35669287, 41614286, 47559335?\n\"Answer: q**3 + 4*q**2 + 5944820*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -72.35493 to 1 decimal place.\nAnswer: -72.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10 + 0 + (-8 - -9). Let z be 7\/(-2)*12\/(-7). Let i be 1 - ((z - 3) + -35). What is the greatest common divisor of i and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 255209 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -548 divided by 137?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 9, x: 5}. What is prob of picking 4 c?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128 = -161*o + 129*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14.8 + -26.8. Let u = -462.9 - -462. Sort s, 0, u, 4 in increasing order.\nAnswer: s, u, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -8*z**2. Let k(f) = -3616387*f. What is i(k(b))?\nAnswer: -104626039470152*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63720 is divided by 3747.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330*q + 92709 = -321*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 643 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 47162 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5317 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -13*k**2 - 7*k + 5. Let x be f(2). Let o = x - -55. Let g be o*(-1 - 3\/(-6)). Is g greater than -3\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 6940*d**2. Let o(m) be the first derivative of -m**3\/3 - 3993. Determine n(o(s)).\nAnswer: 6940*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 5*i = -10. Let t(j) = -j**2 + 3*j - 3. Let d be t(i). Suppose 0 = 5*o + 4*o + 9. Is d greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -7770, 46 in increasing order.\nAnswer: -7770, -0.4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 4*m + 54 = 0, 0*q + 27 = -3*q + 3*m. Let l be (1 - -1)*q\/(-4). Suppose 0 = -3*t - 9, -2*f + l*t - 8 = -25. Solve -3*y = -16 + f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*o*v - 3753*o - 169550*v wrt o.\nAnswer: 13*v - 3753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000006292 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 40521546 divided by -162\nAnswer: -250133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 - 60. Suppose 3*x - 11 = -j*g - 2, -6 = -2*g + 4*x. Suppose -4*t - 197 = -g*n, -6 = -n - 4*t + 33. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 7, i: 9}. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 12*h + 7*h**2 - 13*h + 1 - 21*h**2. Determine q(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 3*d**2 - 9. Calculate z(5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/(-33)*90\/(-8) - 7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -2169*l**4 - 31071*l**3 + 353082*l**2 - 777984*l + 6432 = 0.\nAnswer: -67\/3, 2\/241, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*l + 186574 + 396662 = 0. What is the hundreds digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4336929*b**4*i - 42517*b**2*i + 60*b*i wrt b?\nAnswer: 104086296*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 + 26*x**2 - 44*x + 112. Calculate the lowest common multiple of f(23) and 102.\nAnswer: 23358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 292 = 4*w - 312. Suppose 5*c - w + 26 = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1464514 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 + -10. Suppose 16 = -i*b + 5*y, -3*b + 5*y - 8*y = -24. Suppose -5 - b = -n. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 divided by -73.\nAnswer: 26\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w*w**(-4)*w*w*w*w)\/w*w**(-3))\/(w**(-3)*w**(3\/5)\/w) assuming w is positive.\nAnswer: w**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21041 + -21028. What is the smallest common multiple of 363 and k?\nAnswer: 4719","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)\/p)\/p*p**5*p*p**12*p*p**(1\/21) assuming p is positive.\nAnswer: p**(295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 362)\/(-36) + 5\/(100\/(-208))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2067.\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12436 - -12483. Solve 4*k + r = 3*w + 46, -5*w + 3*k - 13 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3159 (base 10) to base 6\nAnswer: -22343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 1479277*s. Let q(t) = 11*t**2. Calculate q(k(u)).\nAnswer: 24070864870019*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (24 - 198\/8)*(-4)\/(-6)*-1\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.1, 0, 876?\nAnswer: 876","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 49*l**3 + 0.\nAnswer: -49*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*n + 3*l - 46, -4 = -2*l. Suppose -5*p = -n - 3. Suppose 4*m = -p*w + 6*w - 36, -4 = 2*m. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50313353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 3) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 230467 divided by -7.\nAnswer: -230467\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.15618 to 3 decimal places.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 696428, 1392831, 2089234?\nAnswer: 2785637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 37*l**2 - 51*l + 2. List the prime factors of i(5).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 18*x - 109. Calculate the remainder when 161 is divided by m(23).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 7 = -3*y, 4*y = 3*v + 3*y - 13. Suppose -v*s = -249 - 195. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 14 + 4 = 0. Let g be (-6)\/(-9) - 6\/c. Suppose -k = -g*k - 53. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/5, -2\/13, -2370, -4\/5, -215?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 282694 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + (-2*(sqrt(612) - sqrt(612)*1) - (-4 + (sqrt(612)*-1 - sqrt(612)))))*-5)**2.\nAnswer: 2400*sqrt(17) + 61600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -b**3 + 270*b**2 + 24*b - 10.\nAnswer: -6*b + 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-123)\/(-328))\/((-243)\/2 - 0) and -56\/9.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 72*u - 176. Let s(j) = -j. Determine b(s(w)).\nAnswer: -72*w - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -627631\/80 - -7846. Calculate the common denominator of b and -71\/68.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 11\/8 of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2979, -5945, -8909, -11871?\nAnswer: -14831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the first derivative of -3*t**2\/2 - 4*t - 1. Let s(g) = g + 1. Let b(n) = -2*s(n) - w(n). What is b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*d - 33*d = -992. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -s**4\/24 - s**3 + s**2. Let m be o(0). Let h be (-21)\/12 + 306\/(-72). Is h < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29 + 54. Suppose u + 4*n - a = -10, 3*n - 3 = 2*u. Suppose -1 = t - u. Solve s + t - 1 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**2. Let h(f) = 2187*f**2. What is h(b(v))?\nAnswer: 19683*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {l: 2, u: 4}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 48*s**2 - 19*s**2 - 20*s**3 - 30*s**2 + 65*s + 24*s**3 to the form i*s + c*s**3 + l*s**2 + p and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1368352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5 and 94028827.\nAnswer: 94028822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/4*2618\/(-77). Let y be (3 - 11) + 7\/1. Which is the nearest to -1\/2?  (a) -0.2  (b) t  (c) 1\/4  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*w - 21 = -50*w - b, -5*w + 5*b = 5. Let g(s) = 9*s**2 + 6*s. Let c(r) = -r**2 - r. Calculate w*c(l) + g(l).\nAnswer: 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 - 3*x + 3*x + (-2*x - 3*x + 8*x)*(2*x + 0*x - 3*x) + 3*x**2 + 2*x**2 - 8*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*d = 5*j - 6*d - 12, 4*j + 2*d = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z - 5*x + 144 = 0, z + 84*x - 127*x + 40*x + 93 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 189*l**2 - 9*l - 379*l**2 + 191*l**2 + 18. Let j be k(9). Let i = -7 - -10. Solve -i*c = 3*u + j, c + 3*u = u - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - sqrt(171)*-2*6))\/sqrt(9) + sqrt(76)*2*-1)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 37361523*u**2 - 296436*u + 588 = 0. Calculate u.\nAnswer: 14\/3529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 21\/8 of a centimeter?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 64.51767 micrograms?\nAnswer: 0.00006451767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 9*u + u - 2*u - 3*u - 4*u. Let d(q) = 86*q**2 - 8*q - 8. Let g(p) = -57*p**2 + 5*p + 5. Let o(n) = -5*d(n) - 8*g(n). Determine s(o(c)).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -s**5\/20 + 37*s**4\/4 - 137*s**3\/3 - 2*s**2 - 199. Differentiate o(w) with respect to w.\nAnswer: -6*w + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14.181 - 14.8. Let x = 0.61900878 + b. What is x rounded to 7 dps?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + sqrt(112) + (1 + sqrt(112))*-2 - (sqrt(112) + 1 + sqrt(112)*-2 + sqrt(112)) - ((2*sqrt(112) - sqrt(112))*6 + -3)*-1)**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + (-130 - -132 - (1 - 6)) - -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7378, -14652, -22008, -29470, -37062, -44808?\nAnswer: -52732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 104*t**5 - t**3 - 1819*t**2 + 3523*t - 164?\nAnswer: 2080*t**3 - 6*t - 3638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -153 + 169. Suppose 5*h = 4*r - 6, -5*r + h + b = -h. Solve r*v - 5*j = 5*v + 18, -4*v = 3*j + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1427, 851, 4651, 9973, 16817?\n\"Answer: 761*f**2 - 5*f - 2183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 374\/(-51)*363\/(-22) is divided by 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 4 + 0 = 0, 3*s + 2 = 4*z. Suppose 2*a = 3*c - c - 6, 4*c = -2*a + 36. Suppose -z + c = v. Solve -3*l + 5*f + 10 = 2*l, -4*l - v*f = 19 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14403197, -28806386, -43209575, -57612764, -72015953?\nAnswer: -86419142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 299709 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - 4\/((-68)\/33). Let s(h) = 9*h - 486. Let w be s(54). Which is smaller: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9f8 (base 16) to base 12\nAnswer: -1588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -2.2, -2, 0.3, -3205, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-32))\/(1191\/(-9528)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -333 at most as big as -336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -2, 241, 4.\nAnswer: -5, -2, 4, 5, 241","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -3*i - 11. Let k(d) = 6*d + 21. Let s(l) = 6*k(l) + 11*r(l). Let q(x) = x + 2. Suppose -2*a + 9 = -1. Let o = 1 - a. Give o*s(u) + 10*q(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (178*o + 14 - 14)*(-26 + 26 - 5*o**2).\nAnswer: -890*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v + 25. Calculate k(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (1 + -1)\/((-472)\/(-118)). What is the closest to 0.3 in -0.2, -11, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.516 + -0.016. Which is the fourth smallest value?  (a) 0.04  (b) -0.3  (c) 3\/5  (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -353 or -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14971\/7 + 2143. Which is bigger: k or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2593151 (base 10) to base 8.\nAnswer: 11710577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-12)\/(-3) - (-1 - -837). Let p = 834 + x. Solve -p*s + 22 = 18 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7 + 1269647?\nAnswer: 1269640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 229*a - 1 + 2 + 5 - 703*a**2 - 5 + 425*a wrt a?\nAnswer: -1406","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 523569 is divided by 104712.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2872\/5, 22, 0.\nAnswer: -2872\/5, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 6:31 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1101 + 3154. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.2*42.86.\nAnswer: -94.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + m + 14. Let a be c(5). Let v be (-24)\/(-14) + a\/154. Let q be ((-12)\/28)\/(v*(-3)\/42). Solve -f - 8 = q*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 14690911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((-5 + sqrt(468)*1)**2 - (sqrt(468) - 1*(sqrt(468) + -3)**2)).\nAnswer: -102*sqrt(13) + 967","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -16137 at most as big as -16137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.482 + -1.572. What is the third smallest value in 1\/7, b, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l**1*l)*l)**(2\/153))**49*(l**0)**(-1\/26)\/(l**(2\/5)*l**(-4\/5)) assuming l is positive.\nAnswer: l**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 - 12. Let t be 14\/(-4)*(-4)\/d. Solve 0 = -0*n - t*n - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10022200021001 - 110100?\nAnswer: 10022122210201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43.5 - 43. What is the nearest to 2\/5 in 2\/13, f, 0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**2 + 5*b**2 - 4*b**2. Let o(d) = -d + 17 - 17. Determine o(z(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w - 4. Let u be j(2). What is the second smallest value in u, -7, -0.031, 5?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/9 - 134752*y**2\/3 - 2425050*y - 32735988.\nAnswer: -2*(y + 27)**2*(y + 202074)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29 - -57\/2. Let v = -7 - 22. Let u = -28.6 - v. Put x, -0.2, u in descending order.\nAnswer: u, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 94*t**4 - 410979*t**3 - 575315125*t**2 wrt t?\nAnswer: 2256*t - 2465874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {d: 1, u: 3, v: 11, g: 1, a: 1, b: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o = -6*o - 3*k - 9, 0 = -2*o - 3*k + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -843 in -4, -10, 3, 2\/3, -2, -0.044?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6265640*i*q**2 - 4630*i*q - 7*i - 2*q**2 - 2*q wrt q?\nAnswer: 12531280*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - -1727?\nAnswer: 1736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 212602386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7078890289 minus -8.272?\nAnswer: -7078890280.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 58946720 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + 6*r**3 - r**3)*(-3*r + 3*r + 2*r)*(28 - 3 + 51)*(3 - 3 - 2)*(0 + 9 + 15).\nAnswer: -21888*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -3, -5, -29, 272, 0 in decreasing order.\nAnswer: 272, 1, 0, -3, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvxvevexexv. Give prob of picking 2 v and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7515)\/140280*14\/12?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -14\/3  (b) 0.3  (c) 1\/4  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -3499*z**3 + 2*z**2 + 2*z + 1. Suppose 0 = -5*l + l - 4. Let q be w(l). What is q rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -400\/3  (b) -143\/89  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -36, 3, -2, 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 984*z**2 - 3*z - 969*z**2 + 3*z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*f**4 - 37*f**3*p - 1137*f**3 - 12*f**2*p + 3*f*p - 3505*f wrt f?\nAnswer: 792*f - 222*p - 6822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -467703*h**2 - 188 - 3620414*h**2 + 188.\nAnswer: -4088117*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 134 = -4*n - 21, n - 3*m = 24. Let h = -72 - -206. Calculate the remainder when h is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*i - 135 = -14. Let w(h) = 12*h + i*h - 31*h + 9*h. Let g(y) = 40*y**2. Give w(g(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 146 and 76696282?\nAnswer: 76696282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -224570 and 873619.65.\nAnswer: 649049.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -107\/70938 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 5:44 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from rmyyarmymarmrarrya?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9214225 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l. Let o be s(2). Is o at least as big as -20\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1905 - 795 = -2*y - 5*m, -m = 0. What is the highest common factor of 300 and y?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*f + 5*j + 275, 2*j = -7101*f + 7105*f + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 11, q: 2, z: 2}. Give prob of sequence qzz.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in 4\/3, 4\/5, 26\/11, -168\/59, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -3*m - 31. Calculate a(-19).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence brq when three letters picked without replacement from {g: 3, d: 1, b: 2, r: 11, f: 1, q: 1}?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 25189193 to the power of 1\/2, to the nearest integer?\nAnswer: 5019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from {j: 1, x: 4, c: 4, t: 1, g: 4, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1173952826?\nAnswer: 2, 31, 821, 23063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4 + (-13)\/(-3))\/(5\/15). Suppose -3*a + 0*m = 2*m + 4, -3*a = 3*m + 6. Suppose a = f - 5*f. What is the nearest to b in -4\/5, f, -21?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27147057 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 3\/217, -4, 2, -3, 1, -1\/13.\nAnswer: -4, -3, -1\/13, 3\/217, 1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 9 + 11 + -4 + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-482)\/36632)\/(2\/32)\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 192641*y**2 + 76864*y wrt y.\nAnswer: 385282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 41 + 2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (6 - (-6)\/(-2))*3\/3. Suppose i - d*q - 30 = -2*i, 2*q + 30 = 3*i. Suppose i*l - 4*l - 72 = 0. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 226 is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 25*1*(-12)\/10. Let a = 208 - 111. Let o = v + a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.1 - 2. Let i = -21 + -2. Let m = i + 185\/8. Which is the nearest to 0.3?  (a) h  (b) -3\/2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 201620.\nAnswer: 201620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3203340 + 13?\nAnswer: -3203323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 21*w - 14. Let z be v(4). Suppose 214 = 12*q + z. What is the hundreds digit of ((-16)\/q*3 + -179)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158051 divided by -3?\nAnswer: 158051\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + y. Let p(j) = 2*j**3 - 6*j**2 + 6*j - 1. Calculate 6*d(t) - p(t).\nAnswer: -2*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.37 + 0.03. Let q = -547.3 + 547.6. What is the third smallest value in -2, q, -5, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/8 - (-13434)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((52\/3)\/4)\/((-16056)\/(-36126))?\nAnswer: 39\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.166 - 116.166. Let r = 117 + v. What is the second biggest value in 0.2, r, 2.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - 10 - (0 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-118)\/(-6) + (-3)\/(-9). Let d = a + 162. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 5*u = 90, 4*u - 2 = -14. Suppose -6*j = -j - h. Let m(z) = 3*z + 96. Let r(a) = 4*a + 147. Let t(s) = -3*m(s) + 2*r(s). Calculate t(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0\/(-5)*13\/(-52). Let -4\/5*g**3 - 4\/5*g**2 + t*g + 0 = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 471 is divided by 407.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12370.9990744 + -12371. What is f rounded to five decimal places?\nAnswer: -0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.08658 + -0.0865778841. Round j to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 7. Let a = -1 - g. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 - 20. Which is smaller: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32.98648 litres in millilitres?\nAnswer: 32986.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -71*a**6 + 6*a**3*v**2 - 157*a**2*v**2 + a*v**2 - 1 wrt a.\nAnswer: -8520*a**3 + 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-5)\/(-2))\/((-3)\/(-6)). Let t(n) = n**2 - 3*n - 5. Let f be t(v). Solve 5*h + 25 = 0, -2*j + f*h + 25 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 942479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1849 and 301?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tits when four letters picked without replacement from {n: 2, q: 1, i: 1, l: 1, s: 1, t: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -6*y + 23. Let r(f) be the second derivative of 3\/2*f**2 + 0 - 1\/6*f**3 + y*f + 1\/6*f**4. Let d(n) = -n + 1. Give 2*d(b) - r(b).\nAnswer: -2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v + 2. Suppose s - 5 = -0*s. What is the units digit of k(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 32*h + 2. Let j be x(1). Let g(c) = 37*c + 344. Let s be g(-7). Calculate the highest common divisor of j and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 264\/33*2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -81241, -162452, -243641, -324796, -405905, -486956, -567937, -648836?\nAnswer: -729641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 5 = -0*j, 1 = -c - 5*j. Suppose -4*f = -0*f + c. What is the common denominator of 129\/48*(f + 3) and 23\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1122*n - 33010 = -39742 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, s: 3, w: 7, e: 4, t: 2}. What is prob of sequence we?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -2 - (8 - (-120)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 175*s - 168*s = 78, -5*s = -55 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 7:42 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c*u**2 + c*u - 5*c + 116*u**2 + 1 wrt c.\nAnswer: -u**2 + u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77234*v + 77235*v + 14 = -7*s, 0 = -3*s - 9*v + 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 140 - 77. Suppose -215 = -2*x + 7*x. Let a = x + q. Calculate the remainder when 59 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -20*t**2 + 21*t**2 - 403*t + 200*t + 202*t. Let h(k) = k**3 - 2*k**2 + 2*k. Determine 3*h(o) + 6*y(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-36))\/((-677)\/(-5416)) - (86\/(-36) + 2)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 11\/5)\/((-8)\/20).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -27 - -16. Suppose -2*z + 2*s + 26 = 3*z, 4*z - 4*s = 28. Let m(j) = 3*j + 5. Let y(c) = 8*c + 14. Determine q*m(v) + z*y(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 6 - 24 = 0. Calculate the common denominator of (2 + 96)*(-3)\/48 and (-2)\/r - (-87)\/270.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -20271*h + 1439237. What is v(71)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 182, 369, 566, 773, 990, 1217?\nAnswer: 1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235 - 53 = -4*h. Calculate the common denominator of 1\/10 and 538\/h - (-3)\/(-4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 315\/(-10)*(-4)\/(-3). Let g be ((-3)\/1)\/(9\/m). Let i = g + 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 237 a factor of 229678090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 9*j - 33. Let u be h(5). Suppose 5*r + u = 9*r, -5*l + 1392 = -r. List the prime factors of l.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -5, b - 9 = 4*j + 23. What is the least common multiple of 1 - 6\/2 - 884\/(-34) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {n: 4, p: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 0.022, 5, 1.66449.\nAnswer: -0.3, 0.022, 1.66449, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 10*t - 13. Calculate o(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 122 - -2777641886.\nAnswer: 2777642008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d**3 - 2610*d**2 + 676265*d + 6294150 = 0. What is d?\nAnswer: -710, -9, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 59 + -55. Suppose 40 = 5*o + 2*p + p, -t*o + 35 = 3*p. Solve 0 = -4*n + o*y + 40, 3*n + 0*y - 23 = 2*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 35. Let o(z) = -z**3 + z**2 + 11*z + 6. What is the units digit of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3624\/23 - 4982954\/31625. Do 2\/5 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1d9b (base 14) in base 4?\nAnswer: 1110311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2252 plus -57759?\nAnswer: -57755.7748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -465.3533 + 465. What is s rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = -25*u + 30*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, 70, -2\/7, 226 in decreasing order.\nAnswer: 226, 70, 0.06, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(190)*2 - sqrt(190)) + sqrt(190))\/(sqrt(360) + sqrt(40)).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*a - 2*a + 6*a + 2*a + a - 77 + 81 + (6 - 1 - 2)*(1 + 2*a - 1) - 8*a + 3*a + a.\nAnswer: 6*a + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170984312?\nAnswer: 2, 2617, 8167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*a = 5*a + 5. Find the second derivative of a*q - 4*q**4 + q**4 - 6*q wrt q.\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22511000 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5198 and 966?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4*z = -130, 0*z = 2*u + 3*z - 115. What is the highest common factor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*k*p**3 + 24063*k*p**2 - 16169398*p**3 wrt k?\nAnswer: -7*p**3 + 24063*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 10100110100100000001111?\nAnswer: 10100110100100000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) -76772  (b) -6\/7  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -19*y + 17*y - 2*f, -21*y + 3*f = 177 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 561829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s*s*s\/s**(3\/17))*s*s\/s**(3\/2) assuming s is positive.\nAnswer: s**(-45\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 - -38. Suppose -l*k + 86 - 32 = 0. Suppose -k = -2*w + w. What is the highest common factor of 162 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 462559*f*g + 27410*f*s - 27*f + 4*g*s - 14*s - 1 wrt g.\nAnswer: 462559*f + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 + 4*d**2 - 8*d - 7. Let p be f(-5). Let z be 6\/(4 + -1) + p. Suppose 0 = -3*t + 5 + z. Calculate the greatest common divisor of t and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f*f\/f**(3\/7))**(-18))**(-5\/9) assuming f is positive.\nAnswer: f**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -6, -0.3, -1\/3, -0.6 in decreasing order.\nAnswer: -2\/7, -0.3, -1\/3, -0.6, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(1331) - (sqrt(1331) + 2 - sqrt(1331))) + -1.\nAnswer: -3 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 917*d + 1073 = 135*d - 31229 - 28694 for d.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of n**5\/30 + 5*n**4\/12 - 31*n**3\/6 + n**2 + 376. What is f(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -107.62969 rounded to zero decimal places?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 264 and 34232.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (2 + -1 + 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -45 - (-5 - (-3 + -22 + (57 - 43)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -1090*q - 9705. Let k be o(-9). Solve k*s - 151*s = -138 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -74 + 46. Let r be 4942\/(-40) - 21\/q. Let d = 558\/5 + r. Calculate the common denominator of -23\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 144*a**2 - a + 1. Suppose 2*c = -2*c + 4. Let j be f(c). Suppose 5*n - j = 2*n. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1575653 (base 8) to base 4\nAnswer: 1233232223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**4 - 89*k**3 + 2610*k**2 - 24300*k - 27000 = 0. Calculate k.\nAnswer: -1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -101, -248, -459?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 470 - 417. Let f = -47 + l. Suppose 2*d + 5*v - 61 = -0*d, -4*d + 5*v = -137. Calculate the smallest common multiple of f and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6490685ml in litres?\nAnswer: 0.0006490685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -342, -659, -976?\nAnswer: -1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -4*((-2)\/8 - 0). Suppose 0 = -3*v - 2 + 5. Let b = v - y. Round b to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 183 - 185.8. Let j = -2.799916 - p. What is j rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10832\/33 - 2562\/11. Is 96 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 22 = -4*r, -6947*p + 6951*p - 2*r - 14 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (23\/(-46))\/((-4)\/1000) is divided by -12*6*(-2)\/9.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 3:49 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -331.5135 to one decimal place.\nAnswer: -331.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 - 7*k**2 - k + 6. Let u be t(7). Let d = u - -4. Solve -4*i + 5 = -d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7745, -31276, -70969, -127208, -200377, -290860?\n\"Answer: -64*d**3 - 7697*d**2 + 8*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*c**3*j**3 - 2*c**3*j - 128*j**5 - 656*j**2 wrt j.\nAnswer: 30*c**3 - 7680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dlfl when four letters picked without replacement from lllllfdlfflffdfll?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 749 = -7*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 3 = 2*w, 23 = 5*w - 3*t + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-2))\/(13\/4). Suppose -19*o = -16*o - 11*o - 16. Which is the biggest value?  (a) n  (b) 5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110000011010111 (base 2) to base 15\nAnswer: 120c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 17 = -2*l - 2*i, 0 = -4*l + 5*i - 7. Let b be 3 + l + 2 + -1 + 2. Solve -19 = 3*t + 5*v, -5*t - b*v - 2*v = 15 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = y + 19, 5*h + 49 = -592*y + 588*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8 + 1)\/((-1)\/3). Let i be (-14)\/r*(-6)\/(-4). Calculate the remainder when ((-134)\/4)\/(i\/2) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*o = 93*o + 2589 - 993 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 106.05 - -35035.95. Let i = 35136.0076 - p. Let g = i + 6. What is g rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d - 4. Suppose p = 5*p - 24. Let c(x) = -p*x + 12 - 5 + 8 + 6. Give 2*c(k) + 11*o(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 156755835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1020 - -1020.000005818. What is d rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the second derivative of -25\/6*s**3 - 20*s + 0 + 27\/2*s**2. Find the first derivative of p(d) wrt d.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (14 - -581)*2\/(-906). Let v = s - 3\/151. What is the third biggest value in -1\/9, -2\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4\/71 - -87\/284. Let o = -292.5 + 293. Which is the fourth biggest value?  (a) 5  (b) o  (c) j  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v**3 + 57*v**3 - 44*v**3 - 9*v**3 - 2*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1596301 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(495)*-4)\/(sqrt(88)\/(sqrt(72)\/sqrt(36))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 762, 1382, 1848, 2082, 2006, 1542?\n\"Answer: -13*s**3 + s**2 + 708*s + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to -3\/374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4*w = -28, 3*w + w + 24 = 2*o. Suppose -5*t + o = -8. Let k(r) = -2*r + 1 + r + 2*r**t + 0*r. Give k(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*s + 950 = 0. Suppose -5*a + s = -0*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 5 = 5*m, 2*m - 6 = 4*t - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*s = 45*s + 26. Suppose -5*u + 1826 + 53 = -s*d, 5*d - 365 = -u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 34*w**4 - 2*w**2 + 62*w wrt w.\nAnswer: 816*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000524752 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 49.2 + -49. Sort -1\/4, -2, z.\nAnswer: -2, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 407\/5 + -81. Let s = 1 + -16. Let w be ((-2)\/(-5))\/((-18)\/s). Which is the closest to q?  (a) 1\/2  (b) w  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1780253 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -1567059 divided by 3?\nAnswer: -522353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + (-1 + sqrt(108))*2 + 2 + (3*(-1 + sqrt(108) + 2*(sqrt(108) + 1)))**2.\nAnswer: 336*sqrt(3) + 8752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -109\/1266 and 64\/15.\nAnswer: 6330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2595, -5164, -7725, -10272, -12799, -15300?\n\"Answer: m**3 - 2*m**2 - 2570*m - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - ((-4)\/2 + (1 - -1)). Suppose 2*z + j*z - 15 = 0. Let h be 2\/z*408\/16. Solve -5*u + 3*f - h = -0, -12 = -3*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1175 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5088\/288 - (1 - 5). Let x = 29 + -6. Is t less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6048 = -30*q + 462. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2)*y**(11\/4)*y)\/(y**(-4))**(-1\/13) assuming y is positive.\nAnswer: y**(75\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/1744 and -49\/872.\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.2  (b) 0.2  (c) -4  (d) -3\/2  (e) 151871\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.043 + 0.057. What is the closest to 15 in -4, 3, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-12\/7)*b*b*b)**(-28))**(3\/13) assuming b is positive.\nAnswer: b**(-108\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -42 + 28. Calculate the remainder when ((-6)\/t)\/(4\/(-14))*-74 is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -442217*o**2. Let c(d) = -31*d**2. Calculate c(j(v)).\nAnswer: -6062232127759*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-36))\/(7\/63)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 19*y**2 - 18*y + 15. Let u be a(18). Suppose -8*l = -4*l - 8. Suppose -2*c = -2*f + c + u, l*c = -3*f + 3. Solve -4*x = -f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -6*j + 20. Let g be 0\/(-167) + 3*1. Put g, j, 2, -2\/41 in decreasing order.\nAnswer: j, g, 2, -2\/41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**3 + 5*u**2 - 5*u + 165. Let j(t) = 3*t**3 + 4*t**2 - 4*t + 166. Give -4*b(r) + 5*j(r).\nAnswer: -r**3 + 170","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 166.0348 + -166. Let f = h + -0.039. What is f rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -560*q + 251*q - 316*q as w + i*q and give i.\nAnswer: -625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199 + 176 = -2*y - 5*r, r = 3*y - 9. What is the least common multiple of 48 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 2631 + -6 + 2 - (-16)\/(-8)?\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1690 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence edtb when four letters picked without replacement from bbbetbtdeebbebebbe.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-26 - 3*r + 26)*(-r**2 + 0 + 1 - r**2) + 5*r**3 - 2*r**3 - 2*r**3)*((-1 + 0 + 2)*(-3 + 2 + 0) - 1 + 1 - 1).\nAnswer: -14*r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -3*h**2 + 27093*h - 27090 = 0.\nAnswer: 1, 9030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -240 by 9.\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5873 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**3 + 8*v**2 - 12*v. Let x be m(-10). Let h = x - 39. What is h rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 22*y**2 + 25*y + 24. Let h be 2\/1*9\/(-18). Let b be a(h). What is the greatest common divisor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(475) + -2*sqrt(475)*-3 + sqrt(475) - sqrt(475))*3)**2.\nAnswer: 7541100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -522 - -524. What is the remainder when 5\/(10\/4) - -4 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.10684*-58.\nAnswer: -6.19672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2102297*q**3 - 4*q**2 + 2102298*q**3 + 4*q**2.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 + -8 + -210 + 194?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 291339*j**3 - 409587.\nAnswer: 874017*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14480\/14480)\/(2*(-1 - (2 - 56\/18)))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - q = -9 + 175, -5*q - 332 = -4*k. Suppose 5*x = k - 13. What is the highest common factor of 14 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -9313\nAnswer: -111756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 101 = 80 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42066 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/5 in 0, -2.59, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/516006 and 19\/14448168.\nAnswer: 14448168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of (1\/3*8)\/(5\/45) and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v - 2. Let p be w(6). Suppose m + 2 = 0, o = 2*m + p + 167. What are the prime factors of o?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 10152 and 10181 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2756 and 468308?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from {b: 1, s: 1, w: 1, c: 6, h: 11}.\nAnswer: 33\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 112*z**2 - 68*z**2 - 77*z**2.\nAnswer: -33*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -570 (base 14) in base 6?\nAnswer: -4554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 6:34 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15547.5 + -267. What is t rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h*h*h**(-2))*h**8)**(1\/8)*(h**(-1\/2)\/h**(-4))**(-6\/17) assuming h is positive.\nAnswer: h**(-15\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ett when three letters picked without replacement from teteetepteeetpteteee?\nAnswer: 77\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 2941392 to the nearest one thousand.\nAnswer: 2941000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**2 + 8*h - 2. Let i(o) = 3*o**2 + 24*o - 9. Let u(g) = 17*c(g) - 6*i(g). Let s be u(2). Solve -3*r + d + 1 = s, 6*r + d = 8*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, u: 3}. Give prob of sequence uduu.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 + 5*a**2 + 6*a - 10. Let n be z(4). Suppose 9*f - n = -6*f. What is t in 0 + 2\/11*t**f + 50\/11*t**4 + 0*t - 20\/11*t**3 = 0?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**2 - 2*v + 26. Suppose c + 6 - 5 = -5*q, 2*c = 3*q - 15. Let r be i(c). Factor 2\/11*w**3 + 0*w + 0*w**r + 2\/11*w**5 + 0 + 4\/11*w**4.\nAnswer: 2*w**3*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 805 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -654 and 18.3?\nAnswer: -11968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*b - 2*d + 1, 0 = 3*b + 3*d + 3. Suppose 0 = -4*l + 3*l + 5*i - 7, -b*l + 5*i - 4 = 0. Differentiate 7*j**l + 2*j**3 + 16*j**3 - 23 wrt j.\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13899992857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 263406 by 3377.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -3 - -1 - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (15\/(-10))\/((-3)\/(-104)). Let c = 313\/6 + u. Let q = 3 + -2. What is the nearest to q in -0.1, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1452 + 1449. Sort c, -2, -9.\nAnswer: -9, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55299248 to the power of 1\/2, to the nearest integer?\nAnswer: 7436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -355 - -32432. What are the prime factors of o?\nAnswer: 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 86028051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -952021, -952027, -952033, -952039?\n\"Answer: -6*i - 952015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 30 - 27*g**2 - 60 + 32 to the form m*g + f*g**2 + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -17172 divided by -2?\nAnswer: 8586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2. Let k(q) be the second derivative of -q**5\/10 - q**2\/2 - 3*q. Let s(r) be the first derivative of k(r). Give n(s(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22012*i**3 + 11014*i**3 + 11003*i**3 - 3101 to g*i**2 + u*i + o + n*i**3 and give o.\nAnswer: -3101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2454 at most 2507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the second derivative of -c**3\/2 + 86*c. Let z(w) = 5*w - 5*w - 4*w**2. Give s(z(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 22 = -f - 2*g, 0 = -3*f - 3*g + 57. Let h = -8 + f. Let o be 2\/h + 126\/8. What is the greatest common factor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.04, -2\/101, -8?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 129503412 divided by 3636\nAnswer: 35617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -189*p**3 - p**2 + 188*p**3 + p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the first derivative of -2*k**5\/45 + k**4\/18 + 2*k**3\/9 - 5*k**2\/9 + 4*k\/9 + 5. Factor i(h).\nAnswer: -2*(h - 1)**3*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 512 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - 320\/50 - (-13)\/(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 38925, 38923, 38921?\nAnswer: 38919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*p**2\/13 + 13396*p\/13 + 26784\/13 = 0. Calculate p.\nAnswer: -6696, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(2\/55)\/b)\/(b\/b**31)*b**(14\/3)\/(b**(-35)\/b) assuming b is positive.\nAnswer: b**(11501\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, l: 5, f: 4, i: 1, s: 1, w: 4}. Give prob of sequence ai.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*2*sqrt(2057)*2*-6 - ((sqrt(2057) + 2 + sqrt(2057))*3 - sqrt(2057) - (3 + sqrt(2057) + -2*sqrt(2057))))**2.\nAnswer: 6732*sqrt(17) + 21401037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1001032 - 11?\nAnswer: 1001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4 - -7)*(-4)\/68*10\/(-15). Which is the nearest to x?  (a) -2\/291  (b) -3  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71932934017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 21*x + 2204. Calculate z(-93).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -3*j + 4*j + 36 + j**2 - 31 + 18*j**3. Is c(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -171*p**3 - 172*p**3 + 341*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*b + 59*b = 11700. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -33*p + 8. Let k(o) = -97*o + 26. What is -7*g(c) + 2*k(c)?\nAnswer: 37*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 44607209 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 - 138*q**3 - 79*q**2 + 54*q.\nAnswer: -q*(q + 1)*(q + 27)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8026 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*l**2 - 4*l**2 + 15*l**2)*(-4*l + 6*l + 0*l)*(4 + 1 - 3)*(0 + 3 - 5).\nAnswer: -152*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {r: 3, z: 6, t: 1, g: 4, h: 1, b: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 280\/16 + 3\/6. Let c = -2 - -7. Suppose 3*i + 2*i - c = 0. Solve 2*m = 7 - i, -3*r = m - z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 28*k + 126*k**4 - 2*k - 31*k + 1 wrt k?\nAnswer: 1512*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4383 + -4191. What is the remainder when 8447 is divided by j?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2341\/136 + 3\/34. Which is bigger: -18 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -10*h - 14. Let q(r) = -7*r - 13. Let a(z) = -2*i(z) + 3*q(z). Give a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -2.6  (c) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150344 is divided by 75168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes after 10:51 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -3 + 4 - (-6 + -1). Let v be ((-24)\/(-4))\/30 - (-442)\/(-10). Let j be (v\/c - -2)*60000. What is j rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 - 33*l + 160. Let r be j(7). Put r, -4, 3, 2 in decreasing order.\nAnswer: 3, 2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10792 - -10793. Which is greater: n or 8\/247?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2092, -2352, -2612, -2872?\n\"Answer: -260*i - 1832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes after 5:18 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 86525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 350 + -352. What is the nearest to -2 in -3\/2, m, 2\/25?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + (6 - -1) + (26 - 50) + -47.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -7\/5, 16, 0.11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 40  (b) -5  (c) -1  (d) 94971\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -23.62*-824\nAnswer: 19462.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 439865 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -4*x**3 - 101*x**2 + 923*x + 1884. What is z(-32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 331097 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 (d**(-1\/2)\/((d\/(d**(8\/7)\/d)*d)\/d))\/(d**(2\/11)*d**11) assuming d is positive.\nAnswer: d**(-1931\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-4)*(-42)\/(-35). Solve p*c - 5*c - 8 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 8418206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 294632, 294715, 294798, 294881, 294964, 295047?\n\"Answer: 83*g + 294549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b\/(b*b\/(b\/((b**(4\/7)\/b*b)\/b))))\/b)\/((b\/(((b*b\/((b**(-2\/9)\/b)\/b))\/b*b*b)\/b*b))\/b))\/(b**(-6)*b*b**(1\/5)*b) assuming b is positive.\nAnswer: b**(2977\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -2*o**2 - 2*o - 6. Determine w(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - ((-296)\/(-64) - 1)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (-5 + (sqrt(833) - 4*sqrt(833)) - sqrt(833)))*-2 + -5)**2.\nAnswer: 1456*sqrt(17) + 53481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 58*t**2 + 110*t + 109. Determine h(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 1178*p - 1178*p + 2*p**3)*(-6*p + 2*p + 2*p).\nAnswer: -4*p**4 + 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 170712231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, n: 1, b: 3, k: 3, r: 8, o: 2}. What is prob of sequence br?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 624 - 358. Let y = -266.00107 + v. What is y rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.17 - 1.07. Let p = -6.94 + -0.06. Let r = p - -6.8. Which is the third smallest value?  (a) 1  (b) r  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -30*s**2 + 88*s + 40.\nAnswer: -2*(3*s - 10)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h**13)\/((h*h*h**(-10)*h)\/h)*h**(1\/2)\/h*h**(-11))**17)**(-32) assuming h is positive.\nAnswer: h**(-5712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 22022001 + -102122?\nAnswer: 21212102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**2 + u. Let g be 7 - (-92)\/(-14) - 151\/(-7). Suppose 0 = g*z + 96 + 14. Let a(t) = -7*t**2 + 4*t + 3. Give z*j(m) + a(m).\nAnswer: -2*m**2 - m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*a = -0*l + 1168, -1192 = 4*l + a. Let y = l - -555. Calculate the common denominator of y\/(-99) + 2 + (-5)\/(-15) and 2\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -22a63?\nAnswer: -22a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-1) + (5 + -4)*-5. Sort -5, 5, n, -11 in ascending order.\nAnswer: -11, -5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 3497 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -324081738.1095 - 0.5.\nAnswer: -324081738.6095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -78*r - 6. Let q(b) = -27*b - 2. Let y(k) = 2*o(k) - 6*q(k). Let m(f) = -47*f - 28. Determine m(y(v)).\nAnswer: -282*v - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 20, 2*k - 30 = -0*k + 5*d. Suppose r + 147 = 3*z + k, 208 = 5*z + 3*r. Calculate the remainder when z is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 3:23 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 18*r - 12. What is the units digit of i(51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**4\/7 - v**3\/7 - 22*v**2\/7 - 44*v\/7 - 24\/7.\nAnswer: (v - 6)*(v + 1)*(v + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a + 6. Let s(w) = -2. Let i(j) = -2*h(j) - 6*s(j). Let f(z) be the second derivative of -19*z**3\/3 - 6*z - 1282. What is i(f(d))?\nAnswer: -76*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 + 23*k - 97. Let j be b(17). Suppose 0 = -s - s + 4. Suppose s*w - y = 4*y - 6, -2*w = 3*y - 10. Solve j = w*z - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 248055 + 37322. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + -22. Let l(w) = -19*w - 41. Let s(i) = -10*i - 21. Let d(y) = m*s(y) + 4*l(y). Is d(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -2 - (-8 - (3 + -14))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 + 83 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 219\/24 + 3\/(-24) and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*v + 8142 - 8324 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + d - 1. Let t(y) = -2*y**2 + 52*y - 104*y - 3 + 1 + 51*y + 3. Determine 3*r(k) + 3*t(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*w**2 + 2*w + 0*w - 3*w + 17*w**2 + 3*w**4 to the form h*w + r + d*w**3 + s*w**4 + v*w**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1099451\/51 + -21559. Let q = d - -2198\/3009. Which is bigger: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**2 + 3*s + 5. Let k be c(-6). Suppose 0 = m - 0 + k. Let z = m - -29. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**0)\/s)**(-1\/19)\/(s**1)**47)\/(s\/(s**7\/s*s)*s**(-1\/4))**(-1\/54) assuming s is positive.\nAnswer: s**(-10177\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/30 + 549\/540 and (-4)\/(16\/78) + -2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(68) - (sqrt(68) - 1*sqrt(68)*4))*-4)\/((2*sqrt(100)*-3 - sqrt(100)) + (sqrt(100) + (sqrt(100) - (-2*sqrt(100) + sqrt(100))))*-4).\nAnswer: -16*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1165 - 1165 - 9*x**2 to the form h + n*x + z*x**2 and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5817 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + 14*a**2 - 14*a + 1. Let b be h(13). Let l(i) = 2*i**2 + 17*i - 24. Is 10 a factor of l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1101727 is divided by 709.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -167*k + 166*k + 7 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 271*r**3 - 222*r**3 + 381*r**3 + 949*r**3.\nAnswer: 1379*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 0*y + 4*d = -4, 0 = -2*y + 3*d + 3. Suppose r - 2 = y, -3*u + r = -104 - 173. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(56)\/(-6*sqrt(8)*-3 + sqrt(8)).\nAnswer: sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jvjpvahjhbavabb. What is prob of sequence pavb?\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/1 + 2631\/3. Let x be p\/15 + (-4)\/10. Suppose -3*h = 2*h + 3*t - x, -3*t - 41 = -4*h. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -61.84 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 56*s**3 + 1133400*s**2 + 6534494?\nAnswer: 168*s**2 + 2266800*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 70000 and 40?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12723 (base 8) to base 5.\nAnswer: -134322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 4728085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 - -13. Let t be 0 - -2 - (2 - g). Let s = t - 1. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36442363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10716 and 1140.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -18. Sort 9, -1, w.\nAnswer: w, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ugupupgg?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-1 - (-25 + 15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 289 and 10?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -4. Let i be (-12)\/v + 26158\/6. Let a = i - 9759. What is a rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7699 divided by 184\nAnswer: -7699\/184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21992 by -4.\nAnswer: 5498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - -2 - (0 + -3). Which is the nearest to -7?  (a) -3\/7  (b) 1\/6  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/10 and -13\/9554078?\nAnswer: 47770390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a micrometer in nanometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {y: 1, c: 1, j: 1, q: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4153*g*q + 22493*g + 5*q**3 wrt q?\nAnswer: 4153*g + 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 474 and 35067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4206 and 36255019.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8908030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -270, -267, -264, -261?\n\"Answer: 3*s - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-2 - (3 + (-6 - -1)) - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/31029 and 19\/3117.\nAnswer: 32239131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/360 and 125\/18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(324))\/(2*sqrt(108)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -70706334 and -0.4?\nAnswer: 70706333.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110011110011 + 10011110111111001?\nAnswer: 10011000100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 3123310 (base 4) to base 2\nAnswer: 11011011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -210617 = -154*q + 113*q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, 2, -313, 6 in descending order.\nAnswer: 13, 6, 2, -313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -248157 divided by -909?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2623 is divided by 2127?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -75735, -151468, -227201, -302934, -378667?\n\"Answer: -75733*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -321*z + 72*z**2 + 292*z - 76*z**2.\nAnswer: -4*z**2 - 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 2*f - 2. Let x be (3\/(-2))\/((-13)\/338). Let b = x - 30. Let k(d) = -4*d**2 - d**2 + 11 - 3 + 9*d. Give b*l(w) + 2*k(w).\nAnswer: -w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -79340 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -501, -508, -515, -522, -529?\n\"Answer: -7*o - 494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 22, -4, 3, 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5793 (base 11) in base 3?\nAnswer: -101102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.09*121790\nAnswer: 10961.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 18*m + 5032. What is the remainder when m is divided by 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 31. Let q be (-4)\/(((-5)\/t)\/5). Suppose -5*n + n + 208 = -4*z, 3*z - q = -2*n. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(13)*-3)**2 + sqrt(52) + sqrt(13) + 5 + -4 + (sqrt(208)*4 + sqrt(208) + sqrt(208))**2 + 1.\nAnswer: 3*sqrt(13) + 7958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**4 - 4*v**4 + 0*v**4 + (9*v - 9*v + 4*v**2)*(-2 + 4*v**2 + 2) + (3 - 3 + 2*v)*(-v**3 + 0 + 0) - 57*v**4 + 17 - 17.\nAnswer: -45*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 16*j - 308. Suppose 0 = 9*a - 11*a + j. Suppose 7*w + 1750 = a*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3205 is divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -7\/4  (b) -4  (c) 2\/5  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + (7 - 24 - (11 + -21)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 + 7*c**2 + 11*c + 9. Calculate q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -793*o + 16. List the prime factors of c(-1).\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -409781\/3 - -136593. Let f = -4.6 + 4. Let u = 1.2 + f. What is the nearest to -1 in 5, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 1. Let d(v) = -8*v - 3. Let t(b) = -d(b) - 3*m(b). Let r(k) be the first derivative of -2*k**3\/3 - 11. What is r(t(n))?\nAnswer: -50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4703 + -2256. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*m**3 - 56*m + 20 - 24*m**3 - 10*m**3 + 33*m**2 = 0 for m.\nAnswer: -5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 0.3. Let y = -0.073642 - -3.073642. What is the closest to -54 in m, y, -1\/8, -1\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02022 rounded to three dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d**2. Let s(p) = 7*p. Let r(o) = 4*o. Let g be 650\/(-26)*8\/(-5). Let z = g - 45. Let m(f) = z*r(f) + 3*s(f). Calculate m(u(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 5)*(22 + 1 - 4)*(1 - t - 1)*(t + 2*t - 2*t) to k*t**2 + b*t + a and give k.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 11040\/9703 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 + 2 - 5)*(2 - 2 - a) - a - 1 + 1 - 3 - 4*a + 3)*(-1 - 3 - 2).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l = 28*l - 32538. Is 58 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-5)*u)**(7\/8)*(u*u*u\/(u**(-2\/19)*u))\/(u\/u**12) assuming u is positive.\nAnswer: u**(1593\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 + 22 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/73932 and -77\/332.\nAnswer: 6136356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n\/(n*n**(4\/11))*n**7 assuming n is positive.\nAnswer: n**(84\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 7:40 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020 + 222000?\nAnswer: 1000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -4 - 8*t + 4 - t**3 + 6*t**2 + 4. Let h be s(4). Let o(x) = 5*x**2 + 8*x. Does 22 divide o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l - 13. Let d be a(-11). Let m = -42.06 - -42.36. What is the closest to -0.2 in 0.2, d, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*u**5*x**2 + 18111*u**5*x - 227*u**2*x - 28*u*x**2 wrt u?\nAnswer: 120*u**2*x**2 + 1086660*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2\/7 - 8*b\/7 - 6.\nAnswer: 2*(b - 7)*(b + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 11085*y + 33360. What is k(-3)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the second derivative of -5*q**4\/12 - 15*q**3\/2 - 50*q**2 + 108*q + 2. Factor b(h).\nAnswer: -5*(h + 4)*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(7\/4)*x**(-3\/5))\/(x\/x**(-6\/7)*x**(-7\/5)\/x) assuming x is positive.\nAnswer: x**(237\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*b**3*f - 9*b**2*f**2 - b**2 + 122*b*f**2 wrt b?\nAnswer: 12*b*f - 18*f**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(1331) - -4*sqrt(1331)))\/(1*sqrt(150) + (sqrt(66) + (2*sqrt(66) - sqrt(66)))\/sqrt(11)).\nAnswer: sqrt(2)\/385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 56*q**3 + q**2 - 6*q - 6. Let c be v(-1). Suppose -t - 3*x + 61 = -0*x, 2 = -2*x. Let w = c + t. Solve 4 = -3*z + 4*z, -b - w = -2*z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*n - 2*n - 3*n)*(18 - 18 - 10*n).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -3*w**2 + 14. Let h = 42 - 40. Let b(c) = -h - 8 + c + 10. What is b(l(t))?\nAnswer: -3*t**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 11*o + 5. Let i(d) = 4*d - 139. Let p be i(34). Let b(g) = 0*g - 2 - 8*g + 4*g. Let n(x) = p*q(x) - 8*b(x). Determine n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(3*1*sqrt(4455) + sqrt(4455)))\/((-2*sqrt(110)*-6)\/((sqrt(40) + sqrt(10))*-5)))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 - 2. Let h(a) = 134*a - 11. Let q(d) = -d + 2. Let s(u) = -h(u) - 6*q(u). Is s(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -66.1 in 3\/167, 3\/2, 1\/3?\nAnswer: 3\/167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (279\/930)\/((-6)\/(-4)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**6)**(12\/11)*(u\/(u**(-1)*u)*u)**(-1\/59) assuming u is positive.\nAnswer: u**(4226\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4016*w + 1148*w - 449268 = 0 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -131.3 + 133.3. What is the third biggest value in 28, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 - 111\/2. Let i = -0.7 + 1. Which is the second biggest value?  (a) -1\/2  (b) j  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34328094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.55 + 0.05. Let l be 123\/(-1460)*(-98)\/(-21). Let k = 1\/146 - l. Which is the biggest value?  (a) t  (b) -0.4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 3*s - 12. Let j be w(5). Calculate the least common multiple of (-1)\/(j\/(-15)) - 3 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-17)\/(-4) + (-5)\/20. Suppose 2*o + 6 = 0, 5*o + 3 = z + m*o. Solve z = 2*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -23790\/329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 946996.\nAnswer: 2, 236749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 312*v + 3137. Give f(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 3.8 times -349\nAnswer: -1326.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 104 = w, -3*w = 5*b - 6*w - 260. Suppose b = 2*t + 16. Let a be (-5 - -3) + (t - -1). Solve -4*q + 2 = -5*u + a, 0 = -5*u - 3*q - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 3. Let n be 0\/((-4)\/(-8)*-2). Let x be c(n). Let z = -707 + 707. Solve o + x*o - 16 = z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 25 - (-3 + -7).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.476898kg in nanograms?\nAnswer: 4476898000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 2*v. Solve 2*i = -v - 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 43*t + 378533 = 89011. Calculate the remainder when t is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -22, 13, -1, -5, 1, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 90 + 110 = 0. Suppose -3*x + 604 = 565. Calculate the remainder when q is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2310 - -1617. Suppose -25927 = -2*x - a. Round x to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 10, 32*g - 5*f = 33*g - 369. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6228686 to the nearest one thousand.\nAnswer: -6229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.03835299 to 3 decimal places.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 117 and 1313.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(24)\/(sqrt(2) + sqrt(32)) - (sqrt(1452) - sqrt(1452)*-1 - sqrt(1452))).\nAnswer: 648*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**3 + 11*q**2 - 5*q + 2. Let g(c) = 4*c**3 - 14*c**2 + 5*c - 3. Let w(x) = -5*d(x) - 4*g(x). Let z = 5 - 8. Is 4 a factor of w(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in i**2 - 246216*i**3 + 8*i**2 - 9*i**2 - 19316*i**3.\nAnswer: -265532*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/((-147)\/(-14))*133\/(-38).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26304 + 6710 = -m + 7*x, 3*m = -3*x + 58830. What is the least common multiple of m and 16?\nAnswer: 39216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**3 - 5*z**3 + 9*z**3)*(2 - 1 - 3) + 0*z**2 + z**2 - 2*z**3 + z**3.\nAnswer: -3*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/k**(-4\/3)*k)\/(k*k*k**0\/k*k))\/(k\/((k*k\/k**13*k)\/k)*k\/k**(1\/6)) assuming k is positive.\nAnswer: k**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 328*s + 330*s - 202 = 0, -5*t + 255 = 2*s. What is the remainder when 461 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 593 - 274. List the prime factors of j.\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z - 2. Let y(l) = -l**3 + l**2 + l + 14. Let h be (-12)\/48 - (-2)\/8. Calculate the smallest common multiple of a(5) and y(h).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -231 - 31313102120?\nAnswer: -31313103011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210\/16 + 5 + -18.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 3 p when four letters picked without replacement from {p: 5, x: 1, l: 3, d: 7}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrre when four letters picked without replacement from {r: 15, e: 5}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (((-2068)\/(-940))\/((-2)\/30))\/((90\/10)\/9)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 2:52 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.21 - 0.08. Let c = -2411.13002 - -2411. Let q = c + h. What is q rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -13*n**9\/63 + 4*n**7\/105 - n**5\/60 - 463*n**4\/24 - 106*n**2. Find the third derivative of p(z) wrt z.\nAnswer: -12480*z**3 + 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 835 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -v*w**3 + 34*v*w**2 - 1615*w**3 wrt w?\nAnswer: -6*v - 9690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -65*c - 5. Let u(g) = -61*g - 3. Let l(m) = 420*m + 21. Let s(z) = -4*l(z) - 27*u(z). What is 5*s(v) - 3*y(v)?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 6*t**2. Let y(u) be the second derivative of 5*u + 1\/6*u**3 + 0 + 0*u**2. Give k(y(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2588 (base 9) in base 13?\nAnswer: b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 65434 - 40.86\nAnswer: 65393.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -5*w + 55, w = -3*v + 4*v + 7. Let h(g) = -g**2 + 3*g + 3. Let s be h(3). Let q be 3\/(-1)*(s + -4). Solve q = -3*t - w for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60 minutes before 1:21 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1596466321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*n, 5*q - n + 8 = 34. Let a(z) = 18 + q*z - 18. Let m(b) = b**2 - 14 + 14. What is a(m(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6)\/45*-5 + (-128)\/(-6). Let y = z - 18. Suppose 2*k + 2 = y. Solve -i + k = m - 3*m, 2 = -i - m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u - 41. Suppose 5*r + w - 150 = 2*w, 0 = -5*r + 4*w + 135. Calculate the remainder when r is divided by h(-52).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 39*x = -50*x + 13617. Calculate the remainder when 27538 is divided by x.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1929783389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30 + 0\/(-2)*(-7 + 8). Suppose 86*z = 88*z - x. Calculate the greatest common divisor of 165 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.72, 0.9, -3, 0?\nAnswer: -1.72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 31672857 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-7)\/i**(-2\/3)*i**(1\/5)*((i\/i**(-6))\/i)\/i assuming i is positive.\nAnswer: i**(-17\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-2\/9)\/g*g)**28 assuming g is positive.\nAnswer: g**(-56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 3*l - 95. Calculate q(25).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41691899 is divided by 66707.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 92\/(-8) - (-1)\/2. Let u = 15 + w. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of v**3\/2 + 11*v. Let p(b) = -b - 3*b - b + 0*b. Calculate p(w(j)).\nAnswer: -15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3460470 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-20)\/(-110)*891\/810)\/(((-54)\/(-75))\/(-3)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2*10\/4)\/1. Let t be (80\/12)\/i*-3. Suppose 0*o = t*o - 40. Calculate the smallest common multiple of o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 4*n**3 - 1. Let o = 13 - 20. Let f(w) = -9*w**3 + 1. Let d(q) = o*r(q) - 3*f(q). What is the derivative of d(k) wrt k?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 6 - 2 = -j, 2*j = 4*b - 38. Suppose 0 = -b*m + 2707 + 272. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 4. Suppose 3*t - 4*t - 10 = -3*z, -5*t + 40 = 3*z. Suppose z*s = 41 - 1. Solve o*x - s = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h + 2 = -2*c, 0*h + 2*c = -5*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7620 is divided by 3804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -2. Let b(i) = -2*i**2 - 2*i - 1. Let c be b(-1). Let s(k) = k. Determine c*w(f) - 5*s(f).\nAnswer: -5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of -b**5\/30 + b**4\/6 + b**2 - 2*b. Let l(d) be the first derivative of o(d). Factor l(m).\nAnswer: -2*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = x + 2*x, x - 6 = p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 11*p - 7 = 0. Suppose -a = -2*h + p, -5*a + h = -4 - 6. Solve -4*y = -13 - a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i**2 - i. Let t(m) = 2*m**2 + 5*m - 5. Let g(c) = k(c) - t(c). Let r be g(-6). Let d be (-12)\/30 + 2\/r. Solve -u + d = -1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 38.2 - 355.2. Is -3 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 51883616, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 - 163?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 34 + 11. Let w be 9\/(-15) - 7\/a. What is the biggest value in -2\/3, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.6 - 14373.\nAnswer: -14393.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -460 + 691. List the prime factors of i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3221a - 2?\nAnswer: -3221c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d + 5*s - 15, -7 = -2*d - s. Let m = -341 - -347. Let t = m - d. Solve -t*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3837172 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1224910270.\nAnswer: 2, 5, 499, 245473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3818307.\nAnswer: 3, 79, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000016134 to seven dps.\nAnswer: -0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-10)*(8 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -65 or 138332?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from anaxauaahauhah. What is prob of picking 2 u and 1 h?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-11) - (0 - (-126)\/(-33)). Find the second derivative of 19*z - 93*z - 14*z**4 - 59*z**4 - 37*z - 5*z**d wrt z.\nAnswer: -936*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 2:02 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 113\/12589656 and -125\/1920456.\nAnswer: 113306904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4225524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -8*h, -3*u = 109*h - 104*h + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7848729 + 13?\nAnswer: -7848716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -q**4\/20 - 227*q**3\/5 - 1359*q**2\/10 + 1834*q. Find v such that r(v) = 0.\nAnswer: -453, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -12 - -85 - (-3 + 1). Let k be (p + (-12)\/4)\/(-1). What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 - -2.06. Let v = 1.99999 - g. Round v to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -763 - 62*u - 782 + 61*u + 174 in the form i*u + m and give m.\nAnswer: -1371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2208 by -69.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 104564407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 179893, 179894, 179895?\nAnswer: 179896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {c: 2, a: 6, j: 4, o: 2, h: 1, w: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 10. Let r(q) = -q**3 - 2*q**2 + 24*q + 3. Let v be r(4). Solve -v*l + 2*l = -3*k - 6, -n*l = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -30*r + 3267. Calculate a(108).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004731278 rounded to 6 dps?\nAnswer: 0.000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 34 + -17. Suppose -5*p - m = -a, -7*p - 3*m + 21 = -2*p. Suppose c + p*c = 36. Let h(s) = -2*s**2 - 9. Let k(r) = r**2 + 4. Give c*k(u) + 4*h(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -7*x - 1 - 3 + 29*x + 3. Is o(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 4*o - 18 = -2*o, 3*l + 5*o + 3 = 0. Let a be 1\/(-2)*(4 - 8). Solve g + 10 = l*n - 0*g, a*n + 3*g = 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of o**4\/78 + 11*o**3\/39 + 24*o**2\/13 - 845*o. Factor h(u).\nAnswer: 2*(u + 3)*(u + 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.52 - -157.\nAnswer: 157.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -0.5  (b) 0.3  (c) 1\/5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(1470))\/(sqrt(10) - (sqrt(110) - (3*sqrt(110) - sqrt(110)))\/sqrt(11)).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8.6 + -0.6. Let m = d - 7.99925. What is m rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 0.5, 1\/34, 20, 3, 2.4 in ascending order.\nAnswer: 1\/34, 0.5, 2.4, 3, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 (base 13) in base 5?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 6\/13*t**3 + 776\/13*t**2 + 1782\/13*t + 508\/13 = 0.\nAnswer: -127, -2, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c + 29. What is the remainder when 18 is divided by d(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3 + 39*y**2 - 446*y + 1224 = 0. What is y?\nAnswer: 4, 17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 555 - 256. Let s = -16 - f. What is the tens digit of (s\/(-5) - 2) + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 46.17 + -46.47. Let x = -12 - -11.8. What is the fourth biggest value in -2\/43, x, -2\/3, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-9\/11)\/f)**(1\/17)\/(f**22)**(-31) assuming f is positive.\nAnswer: f**(127514\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5504 = 529*q - 3489 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 - -6266636691\nAnswer: 6266636688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24.5*12.93.\nAnswer: 316.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 3*u**3 + u. Let r(m) = 658*m**3 - 4*m. Determine -4*n(d) - r(d).\nAnswer: -670*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 3*f**2 - 2. Let h be w(-2). Suppose 18 = 4*n + h. Suppose 0 = -n*i + i. Solve i*p = -p - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, -1\/5, 1\/4, 7?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*n**2 + 6000*n + 5995.\nAnswer: 5*(n + 1)*(n + 1199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1688 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2153.\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 9:29 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*r - 9*r = 20*r - 78048. What is the highest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21 + -18.2. Let x = -195200457 + 195200459.79999962. Let t = x - n. What is t rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2580 divided by -4\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (0 - (-110)\/4)*21552\/4490 is divided by (-78)\/12*(0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k + 8. Let r be p(8). Let m(w) be the first derivative of w**4\/4 - w**3\/3 - w**2\/2 + 12*w + 1. List the prime factors of m(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 52 - 51. Let a = 2 + -1. Calculate the lowest common multiple of a and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**2 + 586*d - 28177. What is w(115)?\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/8 and (-1)\/(-2) + 651\/(-56)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21798800?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**3 - 16*b**2 + 6. Let j = 632 + -632. Let a be d(j). Let v(p) = p - 13. Determine v(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 210 (base 5) to base 15\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21027 is divided by 5256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c - 4*u = 3, 0 = -3*c - c + 4*u + 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -86.7?\nAnswer: -346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/4*(-26)\/(-65). Which is the nearest to 1\/4?  (a) 3\/10  (b) z  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 PM and 11:41 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.509994796 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0517153065 - 5?\nAnswer: -5.0517153065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4*t**3 - 19 - 5*t**3)*(-4*t + 3*t + 2*t - 4 + 11*t + 4 + (-5 + 0 + 4)*(-4*t + 2*t + 3*t)).\nAnswer: -11*t**4 - 231*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 20*g**2 + 20*g + 51. Let v be p(21). Is ((-4098)\/v)\/(2\/(-10)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 5.11. Let j = a + 5.11. Put -3\/7, 4, j in ascending order.\nAnswer: -3\/7, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19, 63, 99.\nAnswer: -19, 63, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00910417 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - 7)\/4*9. Suppose -6*y = -3*y - 9. Calculate the least common multiple of (6\/h)\/(y\/(-99)) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2927 + 847 = 0. Suppose 3*b + 5*r + 1883 = 0, -r - 490 - 137 = b. Let j = z + b. Round j to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 - -43.49. Let l = -2 - -1.99. Let q = l - i. Which is the closest to 0?  (a) 5  (b) -2\/3  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -244 by 61.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 2*n - 4*n = 120, -4*n = 5*s - 282. Calculate the highest common factor of s and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 618 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -5*z + 70, 6*f - 15 = -2*z + 3*f. Suppose 5*l - z*l + 7010 = 0. What are the prime factors of l?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 90 - 58. Let j(r) = -4*r**2 - 19*r - 90. Let q be j(-15). Let y = 707 + q. Solve -y*d - g = 3*d + 4*u, -4*d - 1 = -5*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jcsd when four letters picked without replacement from cqssqsqsssjqsdqsqsqc?\nAnswer: 1\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 3*b - 4, -2*y = 2*b + y - 7. Suppose 0 = -b*s + 4*c + 294, c + 3*c = -4. Suppose -4*m + w + s = 0, -4*m - 3*w = -0*w - 125. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12874892*k**2*l*z**2 - 4*k**2*l*z + 27925*k**2*z**2 - 947*z**2 with respect to l.\nAnswer: -12874892*k**2*z**2 - 4*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/163492 and 61\/46712?\nAnswer: 326984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 19*o**2 + 5*o - 20. Let c be k(-5). Let l = c + -193. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + m + 4. Calculate the remainder when 108 - (-23 + 7 + 29) is divided by b(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*y)*(3 - 3 - 2*y**2) + (-2 + 0 - y - 2*y)*(24 - 24 - 6*y)*(339*y + 252*y - 999*y).\nAnswer: -7340*y**3 - 4896*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = -3*h - h + 29, 21 = 4*t + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -465 - -470. Sort 0.1, o, 96.\nAnswer: 0.1, o, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 4*s - 3. Is w(15) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 271811 + -26512. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -q + 1. Factor 4*t - t**3 + t**2 + 2 - t**q - t.\nAnswer: -(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1514 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -3 + -2 + sqrt(176) + sqrt(11) + (-2*sqrt(99)*-5 + sqrt(99))**2.\nAnswer: 5*sqrt(11) + 11977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 165933577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 362 + -136. Let j = 223 - s. Sort -0.2, -12, j in descending order.\nAnswer: -0.2, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 291 + -297. Is 7\/(-7) + r + 1075 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of 1\/8*p**4 + 0 + 0*p**5 + 0*p + 0*p**3 - 1\/60*p**6 + 3*p**2. What is the second derivative of t(x) wrt x?\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*h - 6 - 8 = -160*q + 338*q - 177*q, 5*h - 4*q = 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -5. Let x(p) = 1 + 1 - 3 + p + z*p. Let y = -18248 - -18254. Let s(b) = -2*b**2 - 9*b + 6. Calculate y*x(t) + s(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 13*b**2 + 11*b + 139. Let j(g) = -15*g**2 - 17*g - 139. Let o(a) = -6*j(a) - 7*s(a). Give o(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 371124123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 129744568*p**3*q**3 - 41*p**3*q**2 + 1112*p + 75*q**2 wrt q.\nAnswer: 778467408*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03361134349 rounded to 5 dps?\nAnswer: -0.03361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 - 5. Suppose 0 = z*b - 6 - 0. Suppose 0 = 2*v - 10, 2 = n + v - b*v. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 2*l - 4 = o, -3*l = 4*o - 5. What is the derivative of 21*z**2 + 7*z**4 - 21*z**o + 2 wrt z?\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53 - -16.4. Let f = 70 - i. Which is the closest to f?  (a) 2  (b) -2\/3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/762 and 38\/28203?\nAnswer: 7163562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-175)\/(-30) - -1 - 7. Sort d, -28, -2\/3 in increasing order.\nAnswer: -28, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 113 divided by -5.\nAnswer: -113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55 and 10065.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (16\/592)\/(26\/(-87)) and -73\/4.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n + 84 = -11*n. Calculate the remainder when 139 is divided by n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {d: 1, k: 1, w: 1, p: 1, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -179, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4228 is divided by 326?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 9747\/5 - 342\/5*b + 3\/5*b**2 = 0.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86.05378ng in micrograms?\nAnswer: 0.08605378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 29 = -3*r. Let i = r - 2. 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 n(u) = u**3 + 6*u**2 + u + 8. Let f be n(-6). Suppose -4*w = -f*y + 24, -2*y = -2*w - 7 - 7. Factor 0*o + 0 - 3\/2*o**4 + 1\/2*o**3 + o**y.\nAnswer: -o**2*(o - 1)*(3*o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:45 PM and 8:24 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.22117 * -0.3.\nAnswer: 0.066351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 349*t**2 + 368*t**2 - 769*t**2 in the form u*t + o*t**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -466 + 476. Let p be (-16)\/(-18)*(o\/4 + 2). Solve -2*r = 2*r + p*w, 4 = 2*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -4*r - 0*m + 19, -2*m - 14 = -4*r. Let a(p) = -9*p + 2 + 6*p + p**2 + r*p + 2*p. Give a(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k**2 - 5*k - 23. Let a be x(-7). Let b = 174 - a. Let v be (7\/(-21))\/(3\/(-27)). Solve v*p = -0*p - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + -1005535?\nAnswer: -1005544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3651*q - 1690*q + 4*q**2 + 444 - 1801*q.\nAnswer: 4*(q + 3)*(q + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t + 2 = -4*t + 3*j, j = 5*t - 39 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/((-161280)\/(-7448)) + -2*3\/(-135)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*s + 64*s + 16 = 0. Put 10, s, 0.5, -0.5 in decreasing order.\nAnswer: 10, 0.5, -0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 9*i**2 + 13*i. Let s be x(10). Suppose 2*u = z + 12 + s, 0 = u - z - 22. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*(-6*(sqrt(272) + -1) - -3*sqrt(833)*3))**2.\nAnswer: 11700*sqrt(17) + 647325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 481341.\nAnswer: 3, 7, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10367, -11680, -12979, -14258, -15511, -16732?\nAnswer: -17915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10523384, 21046758, 31570132, 42093506?\nAnswer: 52616880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*s + 12*s = -h + 40*s + 4, 3*s = -8*h + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*g + 0 + 0)*(g - 3*g + g) + 1 + g**2 - 1 + 8*g**2 - 2*g**2 + 5*g**2 + 3 - 2*g**2 - 3 - 7*g**2 - 10*g**2 - 2*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**3\/(l*l\/((l\/(l\/(l\/l**(-3))))\/l))*(l\/l**(-2\/5))**(-34)*(l\/(l\/l**(-4\/5))*(l\/(l**(2\/13)*l))\/l)**(-39) assuming l is positive.\nAnswer: l**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qbbqqqqqbb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.2535 rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 56 - 34. Let k be (-1)\/(21\/h - -1). Suppose 4*n - n = k. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*v**2 - 4*v**3 + 2*v**3 + 6*v**3 - 14*v**3 wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/(-1))\/(2\/(-3)). Let k(n) be the third derivative of 2*n**2 + 1\/120*n**6 + 0*n**a + 0 + 0*n**7 + 0*n + 0*n**5 - 1\/48*n**4 - 1\/672*n**8. Factor k(p).\nAnswer: -p*(p - 1)**2*(p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**2 + 4*f**2 + 3*f**2)*(3*f + 1 - 1) + 2*f**3 - 2*f**3 + f**3.\nAnswer: 16*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 997741 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2509753*t**2 + 3*t**3 + 2509753*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 302 is divided by 78.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 23*t + 700. Let l be x(-31). What is the nearest to 0 in -2, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 156 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-3))\/(2\/(-3)). Let s(w) = w**2 - w. Let o be s(j). Suppose 39*v - 45*v + 36 = 0. Solve -v*n + o*n - 20 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {y: 1, t: 1, z: 2, a: 2, k: 1, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(-90)*5\/2. Let t(o) be the second derivative of 1\/2*o**2 - o**3 + 0 + 6*o - 1\/20*o**5 - b*o**4. What is t(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8985*n**2 - 9*n**3 + 4*n - 18509*n**2 + 8*n**3 - 2*n.\nAnswer: -n**3 - 27494*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 divided by 123.\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 10*r - 7 - 3)*(-5*r - 5*r - 2*r)*(2 - 3*r**3 - 2).\nAnswer: -360*r**5 - 144*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-40)\/(-8)*(41 - -1). Suppose 298 = 4*w - q. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -526980960 divided by -1722160.\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 211, -73, 0.1?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -248\/9  (b) -499  (c) -3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**5 - 96540*q**4 + 289650*q**3 - 289660*q**2 + 96555*q.\nAnswer: -5*q*(q - 1)**3*(q + 19311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 8 - 10. Solve h*z = 3*b - 11, 5*z - 4*z = -b + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 211*p**2 - p - 1235. Let r(y) = 421*y**2 - 2*y - 2469. Let f(q) = -7*i(q) + 3*r(q). What is the derivative of f(o) wrt o?\nAnswer: -428*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 - 17*q - 41. Let t be p(17). Let o be (-8)\/t*(-9)\/36. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10 - -14?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*o = 24*o - 59*o - 1050 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 11488 or 11489?\nAnswer: 11489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 528, 1979, 4364, 7677, 11912, 17063, 23124, 30089?\n\"Answer: -h**3 + 473*h**2 + 39*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, 25\/17, 5, 130?\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 21350923591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 14 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 + 4.9. Let u be (-1)\/(-12)*(-3 - -1). Put c, u, 1 in decreasing order.\nAnswer: 1, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 582724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 40820 by 5.\nAnswer: 8164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 12 = 5*a. Let m = 4 + -3. Let h be (-6)\/(1\/1 + m). Put 1, a, h in decreasing order.\nAnswer: a, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93 + -156. Let i = d + 66. Let t(g) = 2*g**3 + 4 - g - 2*g**3 + 8*g**3 + 3*g**2 - 9*g**3. What is t(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z = 26*z - 5*m - 89345, 2*m + 89369 = 5*z. List the prime factors of z.\nAnswer: 3, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 53 and 1219.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 - -35.1. Let y = -2.6 - 0.4. Let a be 6\/10*(-2)\/3. Sort q, y, a.\nAnswer: y, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1557318 is divided by 673?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + f + 27 = -2*s, -5*s = 3*f - 55. Suppose 19*n - s*n = 1991. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -244176 - -40?\nAnswer: -244136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 22 + -16. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19927*t = 18990*t - 51535 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z + 14 = 2*d - z, 5*d + 5*z = 10 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {f: 1, k: 1, p: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 271, 0.4, -0.4, 3, 1\/5 in decreasing order.\nAnswer: 271, 3, 0.4, 1\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (7568\/(-660))\/(-43)*(-2)\/(-8)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*d - 145 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8423.065 - 1568255?\nAnswer: -1559831.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -11165*f**2 + 45*f - 135. Let x(k) = -1970*k**2 + 8*k - 24. Let a(r) = 8*i(r) - 45*x(r). Let q(g) = -8*g. Determine a(q(t)).\nAnswer: -42880*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(-6))\/((-15)\/6). Let k = -70 - -66. Let y = 0.09 + 0.91. Which is the nearest to y?  (a) 2  (b) k  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 6615.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12 - -5. Let i = 9.8 + 0.2. Let w = i + u. Which is the closest to 2?  (a) 0.5  (b) 2\/15  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z - 7*z + 6*z - 88*z**2 + 3*z.\nAnswer: -88*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s**3 + 8*s**2 + 2*s + 12. Determine v(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 3 e when four letters picked without replacement from {e: 3, j: 1, t: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -65  (b) 3  (c) 1.4  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 154549494?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9\/8 - 7\/8. Which is smaller: -16\/15 or v?\nAnswer: -16\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, c: 2}. Give prob of picking 2 e.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3830 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3004548*p**4 + 3*p**3 - 521*p**2 - p - 3756?\nAnswer: -72109152*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is aa89 + -867?\nAnswer: a222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (16\/(-40))\/(2\/(-970))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3\/4*r**3 + 27\/4 - 45\/4*r + 21\/4*r**2 = 0. What is r?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 72 and 1604.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 184 = 5*d, i = -5*d + 45 + 13. Let n = 97 - i. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1896)\/(-132) - 10275\/7535.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 510 divided by -50?\nAnswer: -51\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2*2\/(-4))\/((-14)\/(-182)). Solve -2*x + i = -3*w, -w = 3*x - 1 - 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -1\/5  (b) -1  (c) -146717  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(((sqrt(2) - sqrt(18)*6) + sqrt(18)\/sqrt(81))**2 + -4).\nAnswer: 9928\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 241*n**2 - 46*n**2 + 100*n**2 + 72*n**2.\nAnswer: 367*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146 + 152 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) 456  (c) -1  (d) -0.3  (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17757 - -9081. Let l = j - 2200663\/82. What is the common denominator of l and 77\/16?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4211917\/85 at least -49551?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3\/8 - 1959*c**2\/4 - 978*c.\nAnswer: -3*c*(c + 2)*(c + 1304)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 736\/5 at most as big as 147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, k: 4, d: 8, y: 1, c: 1}. What is prob of picking 3 k?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (211 - 57925\/275)\/(2 - (-24)\/(-33)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6412384 is divided by 5269?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -2*i + s + 30, 3*s = -4*i + 95. Suppose -44 - 4 = -4*l. Suppose -5*o + 3*o = -l. Calculate the least common multiple of o and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 192664.44 - -4.\nAnswer: 192668.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 177, 1\/2, 2, -3?\nAnswer: 177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 = -4*p + p. Let o = -5\/1194 - 2951\/199. What is the common denominator of ((-198)\/(-10))\/(p\/25) and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - 7. Let x = t - -4. What is the second biggest value in x, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes before 5:54 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0755946111 to 6 dps.\nAnswer: -0.075595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3275400419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -819 - 553. Suppose -8*w = -d - 444. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b**3\/3 + 656*b**2 + 1969*b\/3 = 0.\nAnswer: -1, 0, 1969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 - 84. Let w = f + 664\/9. Let p = 0.2 - 0.1. Which is the nearest to -2\/9?  (a) p  (b) w  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k\/k**(-2\/7)))**(1\/26) assuming k is positive.\nAnswer: k**(-1\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -2\/7*f**4 - 6\/7*f**2 + 6\/7*f**3 + 2\/7*f + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 37*b**3 + 142 - 44 - 21*b**3. Let j(k) = -2*k. Give c(j(z)).\nAnswer: 192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1*sqrt(192)*-1 + (sqrt(480)*2*-1)\/(sqrt(160)*-4).\nAnswer: -15*sqrt(3)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 8?  (a) -21  (b) -355\/4  (c) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.0539926 + 0.054. Round t to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -341391\/349 at least as big as -979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 h when four letters picked without replacement from {w: 9, h: 5}.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-5 + sqrt(68)\/sqrt(4)) + 3 + sqrt(17) + 1 + 5)**2.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3938370564 to the power of 1\/2, to the nearest integer?\nAnswer: 62756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*-2*(-6)\/8. What is the nearest to 1 in u, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7\/2 - -4. Let s be (-17)\/2 + (2 - 0). Let a = s + 8. Put z, -4\/5, a in decreasing order.\nAnswer: a, z, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11346.42 weeks to seconds.\nAnswer: 6862314816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 0 - 2 - 10 - 4*d. Let h be k(-2). Let l(o) = o + 2. Determine l(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w + 13. Let t be u(-17). List the prime factors of t + ((-172)\/(-16))\/(1\/16).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**3 + z**3 + 0*z**3 - z**3 + z**3 - 2*z**3 + (z**2 + z**2 - 4*z**2)*(2*z + z - 2*z) - 5*z**3 - z**3 + 2*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve d**2\/2 - 88127729*d + 7766496618697441\/2 = 0 for d.\nAnswer: 88127729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1700) - sqrt(1700))*-3*-4 + 1 + (sqrt(2057) + 0)*5 + 2 + 5)**2.\nAnswer: -2960*sqrt(17) + 581889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 215387519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 6*(5\/4 + -1). Let x = 2.95206 + 0.04794. Sort c, x, -0.3, 0.1 in increasing order.\nAnswer: -0.3, 0.1, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 342*k**2 + 430*k**2 - 1250*k**2 + 398*k**2.\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 3*f**2 - 8*f + 4. Let n be h(3). Let t(v) = v**3 - 8*v**2 + 8*v - 5. Calculate t(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9732824 is divided by 434.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g = -3*g. Suppose d - 5 = 0, g = -o + 7*d - 2*d - 22. Suppose -3*y + 15 = 0, -2*y + 9 = 2*l - 3*l. Put o, -5, l in decreasing order.\nAnswer: o, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u - 2. Let y(n) = 2*n + 6. Let q(j) = -5*b(j) - 2*y(j). Let d(o) be the second derivative of 0 - 4*o - 1\/3*o**3 + 3\/2*o**2. Give 2*d(t) + 3*q(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00104 to 5 decimal places.\nAnswer: 0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-3)*(-6)\/(-4). Let r be (h\/6)\/((-6)\/(-36)). Let p(l) = -3*l - l**2 - 4*l + 8 + r*l**2 - 6. What is p(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 12, 3*s - 38 = 3*q - 17. Suppose 0 = -2*i + 350 + 144. Suppose -v - v = -5*k + i, -4*k - s*v = -216. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11002021012 (base 3) to base 13\nAnswer: 2a785","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lis when three letters picked without replacement from ixsllilsllsxlu.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.3 + 10.3. Let n = -7.8 + p. Which is the closest to 0.1?  (a) n  (b) 1\/6  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 18 = -2*l, 2*g + 0*l = -4*l + 18. Suppose 3*h - u - 13 = 27, -g*h - 2*u = -46. Which is bigger: h or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 5*k**5\/4 - 25*k**4\/2 + 185*k**3\/4 - 80*k**2 + 65*k - 20 = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 403, 824, 1249, 1678?\n\"Answer: 2*s**2 + 415*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 103041193 and 20044?\nAnswer: 5011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22.94 + -23. Let g = -0.44 + f. Let a = -0.02 + 2.02. What is the second smallest value in g, 3\/4, a?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*(l\/((l*l**25)\/l*l))\/l)\/l)\/(l*l**(-5\/8)))\/(((l\/(l**(2\/5)*l*l))\/l)\/((l\/(l**20\/l*l))\/l*l)) assuming l is positive.\nAnswer: l**(-1719\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 - 4 = 13*q. Calculate the remainder when 11 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*p - 479 + 410 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1, 5\/2, -1\/3, -3\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 13\/5 of a hour?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*v**4\/19 - 1224*v**3\/19 + 280908*v**2\/19 - 28652616*v\/19 + 1095962562\/19 = 0. What is v?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**2 - 2*j**2 + 5*j**2 + j**2 - 3*j**2 + 4*j**2 + (0 + 2 + 0)*(j**2 + j**2 - j**2) + 3*j**2 - j**2 - j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 293 = -5*l, -3*l = h + 77 - 8. Let w be (212\/h + 3)\/(2\/(-8)). What is the biggest value in w, 33, -1\/7, -3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4*a = 16, 3*z + 2*a = 3*a - 4. Suppose 2*w = -z*w - 2. Let t(b) = -22599*b + 1. Let j be t(w). Round j to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 127243 or 127260?\nAnswer: 127260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 594875 is divided by 5612.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -60 divided by -1\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*b = 20. Suppose 0 = b*z - 2*z. Solve z = -5*q - 3 - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (0\/(-2) + 2). Suppose 3*g = 10 - 1. Let p = g - z. What is the remainder when 16 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 91\/20 and -105\/484.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 674 + -10430?\nAnswer: -8645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*o**2 - 4 - 5 + 15*o**2)*(o + 0*o - 4*o)*(-o**2 + 6*o**2 + 0*o**2).\nAnswer: -30*o**5 + 135*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -7*w**2 + 45*w + 29. Let v(b) = -3*b**2 + 22*b + 14. Let n(l) = -4*k(l) + 9*v(l). Let r be n(-18). Suppose -r*t + 8547 = -9683. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3166 = 2*t + 3178 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 854\/1055 - 2\/211. Solve -8\/5*h - c*h**3 + 2\/15*h**4 + 8\/15 + 26\/15*h**2 = 0 for h.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10331310 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002527 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 552011*r - 138064 wrt r.\nAnswer: 552011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 4*d**2 - 4*d - 6. Let z be i(5). Let w(x) = 6*x**3 - x**2 - x - 1. Let p be w(z). Let j = p + 20. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (360\/(-207))\/(18\/9). Are s and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/21*-7*1\/(-2).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1388*c**3*p*w + 1098*c**3*w**3 - 102*c**3 + 147024*c*p*w**4 - 53*c*w - 3*w wrt w.\nAnswer: 6588*c**3*w + 1764288*c*p*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 10:42 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -2*x + 6312. Let j(r) = -1060 + 2093 - 16*r - x. Let m(h) = 3*h + 4. Give 2*j(l) + 11*m(l).\nAnswer: l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 901007951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-228)\/14)\/(76\/(-266)). Suppose 0*a + x = 4*g + 5*a, -3*a = -3. Let u be 363\/4 + (-1)\/(-4). Calculate the highest common factor of g and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(162)*-3*-1 + sqrt(162))\/(sqrt(18)\/(sqrt(27)\/sqrt(144))))**2 + 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 188529063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*h + 47*h + 760 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145893121?\nAnswer: 11, 109, 271, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 + 6*z - 7. Let h(x) = x**2 - 2*x + 1. Let g be h(4). Suppose -52*u - 25 = -57*u. Suppose -3 = -2*l + u*d, -4*l = -4*d + 21 - g. Give q(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 4*a - 112 - 274, 3*a + 4*x = 297. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1 = 3. Suppose k*u + u = 0. Let q be (0\/(-6))\/(-1 + 0). Is u smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*s - 20 = -5*x + 10*s, -3*x + 4*s = -23 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16202.57 + 1366.\nAnswer: 17568.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - 17) + 4 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*27\/((-108)\/(-32))*(-34)\/68.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/(-27))\/(13\/284). Let p = u - -86\/9. What is the third smallest value in -1\/4, p, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/134579 or 1?\nAnswer: -2\/134579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3\/13 - 8735902*l**2\/13 - 17471798*l\/13 - 8735898\/13.\nAnswer: -2*(l + 1)**2*(l + 4367949)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.4  (b) 13  (c) -4  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -j**5\/20 - 13*j**3\/6 - 5*j**2 + 21*j. Let b(h) be the first derivative of v(h). Find the first derivative of b(s) wrt s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 25, 1 + 4 = 5*s - 2*r. Let b(x) = -3*x. Let a be b(-1). Suppose s*t + 1 = -2*g + 29, -5*g = -a*t - 49. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -34 and -0.39742.\nAnswer: 13.51228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2867, 2871, 2869, 2855, 2823, 2767, 2681?\nAnswer: 2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 - 37 = 8*p. Let k(s) = 9*s**3 + 5*s**2 - s - 5. Let r(d) = 9*d**3 + 6*d**2 - d - 6. Give p*k(l) - 5*r(l).\nAnswer: 9*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 9. Suppose -i = -142*f + 140*f. Which is smaller: 2\/151 or f?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4383 - 4383.15. What is the closest to -2 in 0, y, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -13 and 4167.8.\nAnswer: -54181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 66256 - -1?\nAnswer: 66257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 42 and 140214?\nAnswer: 981498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 586976540 to the nearest integer?\nAnswer: 24228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -32875 or -32874?\nAnswer: -32875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15?  (a) -2\/9  (b) 5  (c) -3  (d) -4896  (e) -1  (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -635*c + 13 - 94*c - 200*c - 13.\nAnswer: -929*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -37 + 36.5. Let g = u + 5.7. Let y = 2 - g. Round y to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2 - 0.077028.\nAnswer: 0.122972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 8:55 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -377603 + 697330. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*h + 4*b + 28, 4*h - 16*h + 8 = -11*h + b for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -68\/15 and -91\/352?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3043554 + 0?\nAnswer: -3043554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -6*y**2 + 4*y - 3. What is m(3)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*134\/8 + (-6)\/(-2). Let j = t + 157\/12. Let i = -0.03 + 0.03. Put j, 0.3, i in descending order.\nAnswer: 0.3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1171 and 1380902921?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wn when two letters picked without replacement from {w: 3, s: 2, v: 4, b: 3, g: 2, n: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1 + (-1 - (-2 + 1)). Let o be 15\/s*(-2)\/6. Suppose -8*l + o*l = -6. Solve 4 + 0 = l*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 837 + -869. Let m = -2 - -58. Let p = a + m. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3 - 7) + 11 - -1 - 29) + 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -37 + 37 + 8*g + (2 - 3 + 3)*(-g + 6*g - 4*g) + (2*g - 3*g - g)*(0 + 0 + 1) + 3*g - 2*g + 0*g + 26*g - 6*g - 3*g + 0*g + 0*g - g.\nAnswer: 25*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 25 = -5*i. Let a(x) = 6*x - x - x - 2*x + 2. What is the smallest common multiple of a(i) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 10:59 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, 380, 1\/1259?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 e when three letters picked without replacement from eqeeeyteeqycqqeq?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ir when two letters picked without replacement from razrqrqzziz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 53980888 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1750299341 + 4.\nAnswer: 1750299345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -22.5 - -23. Which is the second biggest value?  (a) v  (b) -3  (c) 1\/4  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 5*u - 0*u - 29, -3*u = -4*q + 24. Let j be 3*(-5)\/(-6)*2. Suppose 0 = -j*c + 16 + q. Solve 0*w + 31 = -4*w + c*b, -4*w - 13 = b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -1.5. Let f = -2 - -4. Which is the nearest to -2\/3?  (a) m  (b) f  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 900 and 1154409.\nAnswer: 346322700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*p = -2*l + 64, l + 2553*p = 2549*p + 40 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -9*f**2 + 11*f - 15. Let j(o) = -2*o**2 + 2*o - 3. Let p(d) = -2*i(d) + 11*j(d). What is the first derivative of p(s) wrt s?\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -748 = i - 12*i - 23*i for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 4:38 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:07 AM and 2:43 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 3*a - 13 - 16 + 44 - 14. Give z(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - 6*k**2 - 9*k. Let b be t(-4). Suppose 0 = 3*m + 6, -v - b*m = -4*v - 13. List the prime factors of (((-108)\/v)\/(-3))\/(24\/(-252)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -243812*x**4*z**2 - x**4*z - 11*z**2 - 1246*z - 4 wrt x.\nAnswer: -975248*x**3*z**2 - 4*x**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = f - 3*q, -1 = -4*q - 5. Suppose -1 = -9*r - f. Let k = -3.95 - 0.05. Which is the third biggest value?  (a) k  (b) r  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -310331111 + -3010?\nAnswer: -311000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 0.3, 12, -3, 9, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 339019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 343098 and 2250?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -857 * -2.6\nAnswer: 2228.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 163852111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 4:09 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10002112022 - -2?\nAnswer: -10002112020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 2*k**5\/5 + 232*k**4\/5 + 8964*k**3\/5 + 24112*k**2 + 215146*k\/5 + 20664 = 0?\nAnswer: -45, -41, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -104.20008894 - -104.2. What is z rounded to six dps?\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 0 - 3*d**2 + 4 - 2 - 5 - 2*d**3. Suppose -63*r - 383 + 1439 = -327*r. Let s(k) = k**3 + 4*k**2 + 4. Determine r*o(x) - 3*s(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -116*c + 125*c. Which is bigger: c or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 7:25 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1919 + 4.8081. Sort -0.3, -0.5, 2, k, -4.\nAnswer: -4, -0.5, -0.3, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -212087 (base 12) to base 6.\nAnswer: -15104251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*h + 16*h - 39*h = 13*l - 9, 3*l + 2*h + 28 = 0. Suppose -4*q = -6*q - 16. Let u = -11 - q. Which is the smallest value?  (a) l  (b) -0.13  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -53563, -107109, -160655, -214201?\n\"Answer: -53546*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 6:00 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 51123089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Is 755732813 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -21 + 12. Let x = p - -10. Let z = -3 + 3. Sort z, x, 0.2 in ascending order.\nAnswer: z, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -216 by 24.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 33, 26, 29, 48, 89, 158, 261, 404?\n\"Answer: d**3 - d**2 - 11*d + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 117041 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -55*t**3 - 33*t**2 - 11*t + 36. Let w(n) = 27*n**3 + 15*n**2 + 5*n - 16. Give 4*u(i) + 9*w(i).\nAnswer: 23*i**3 + 3*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**2 + 5*b + 3. Let x be k(-5). Suppose -125 = x*t - 8*t. Is 24 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 355 - -3?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**2 - 512670*i + 1537965.\nAnswer: 5*(i - 102531)*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 3*25\/(-50)*-106*23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 51 or 18?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/3*72\/24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 813*o**2 - 5 + 5 - 841*o**2.\nAnswer: -28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 133 = -0*n. What is the first derivative of 47 - 4 - 5*c**3 - n wrt c?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 21 - (-23 + 334 + -148).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 173 minutes before 9:13 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**2 - x - 3. Let r be i(0). Let j be ((-2)\/r)\/(-8 - -5). Let w = 0.04 - -4.96. What is the closest to j in w, 0.1, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 426, 849, 1272, 1695, 2118?\n\"Answer: 423*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 13 = 4*y. Suppose y + 0 = q. Factor -63*h**2 - 48 - 9*h**q - 27*h - 69*h - 24*h**3 - 3*h**4.\nAnswer: -3*(h + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 4  (c) 0  (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 3 + (sqrt(147) - -1*sqrt(147)) + 1 + 5*((sqrt(432) - 1*(sqrt(432) + 0) - sqrt(432)) + sqrt(432) + -1 + -1))**2.\nAnswer: -224*sqrt(3) + 652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -198 + 6*s**2 - 2*s**2 + 107*s - 5*s**2 - 114 + 0*s**2 = 0.\nAnswer: 3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**2 + 115248*h - 345717 = 0. What is h?\nAnswer: 3, 38413","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4278668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 97672 and 1637269?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/(-24)*((7 - 2) + -2). Let v = -3 + 4. Put j, v, 3 in descending order.\nAnswer: 3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**2 - 240177480*m - 3605326368696900.\nAnswer: -4*(m + 30022185)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.9 + -0.1. Which is the third smallest value?  (a) -5  (b) f  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 10, r: 1, h: 6}. Give prob of sequence hhh.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 72982559 to the power of 1\/2, to the nearest integer?\nAnswer: 8543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 5*k - 67. Let s(g) = -2*g + 33. Give 7*s(v) + 3*t(v).\nAnswer: v + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2*g**3 - 12*g**2 - 28*g + 28. Let d(v) = -3*v**3 - 18*v**2 - 42*v + 42. Let c(k) = -5*d(k) + 8*l(k). Does 10 divide c(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 50205 (base 7) to base 14\nAnswer: 45ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 2*i**2 + 7*i + 4. Let s be d(-3). Put 14, s, 2 in ascending order.\nAnswer: s, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/16*-5*2*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 220*d + 274 wrt d.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.1 or -56\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -7*a + 32. Let f be b(-17). What is the third derivative of 158*y**3 + 24*y**2 - 6*y**5 - 309*y**3 + f*y**3 wrt y?\nAnswer: -360*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3763)\/(-284) + (-8 - 0 - 2)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 7:50 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 410 + -991. Let f = l - -836. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*a + 2*i = -26*a - 8, 5*i + 20 = 4*a. Let d(b) be the second derivative of -4\/7*b**3 + a - 3\/28*b**4 + 3*b + 9\/14*b**2. Factor d(u).\nAnswer: -3*(u + 3)*(3*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 202246420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1890735?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -2 - 6*h - 13\/6*h**3 + 0*h**2. Let c(q) = -28*q. What is c(l(d))?\nAnswer: 364*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 4*d - 5. Suppose g - d*z = 13, 5*g + 9 = -z + 22. Suppose -9 = 2*h - 5*h. Solve h*p = -g - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**3\/3 - 837550*r**2\/3 - 87710115614*r\/3 - 1665585253478.\nAnswer: -2*(r + 57)*(r + 209359)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-27)\/y*y**(-35))\/(y**(3\/13))**(1\/28) assuming y is positive.\nAnswer: y**(-22935\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -480*a**3*b*g - a**3 - 2*a**2*b*g*p - 37*a**2*p + b*g + 13*g*p wrt b.\nAnswer: -480*a**3*g - 2*a**2*g*p + g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -9*j**3 + 7*j + 9. Let x(z) = 39*z**3 + 4 - 14*z**3 + 0*z - 3*z + 6*z - 29*z**3. What is 2*b(t) - 5*x(t)?\nAnswer: 2*t**3 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28769 (base 10) to base 8.\nAnswer: -70141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.5  (b) -2  (c) 4  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 752 equal to 751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 + 5. Let j = 2.000013 - g. Round j to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9406 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0  (b) -83  (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.55957 kilometers to centimeters.\nAnswer: 55957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1  (b) -538  (c) 3\/16  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(6 - 120\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 348036 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 2*r - 0*r - 1, -4*r - 2*t + 62 = 0. Let x(n) = n**2 + 4*n - 10. Let q be x(-7). Let i = r - q. Solve i*j + 12 = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 43\/3 of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-1 - -2) + (76 - (-83 - -145)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 18539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - v)*(17277 + 21411 - 21349)*(-1 + v + 1).\nAnswer: -17339*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 167 minutes after 7:34 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(1*sqrt(400) + sqrt(400))*4)\/(-2*sqrt(8)*1*1).\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.709465 rounded to two decimal places?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 + -156 + 15 + 1 + (-10 - -1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5145 + 5149. Which is the closest to -4?  (a) w  (b) 24  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 7*m - 35. Let o(a) = -12*a + 69. What is -7*k(c) - 4*o(c)?\nAnswer: -c - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2762736647.\nAnswer: 11, 31, 8101867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.46 - 0.5. Let p = a + 1. Let d = -0.26 - p. Put 0.3, 0.1, d in ascending order.\nAnswer: d, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2608 (base 9) to base 8.\nAnswer: -3640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*m + m - 11920000. Round m to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -g, 5*z - g = 1168 + 7866. Let t = -1070 + z. What are the prime factors of t?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -22 - (1 + 3) - -11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 31104.17 rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(76)*-6)\/(sqrt(28)\/(sqrt(112) + sqrt(7) + sqrt(7))).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/(l*l*l\/(l**(-1)*l*l*l*l)))**(-43)*l**(-4)*l**2)\/((l**0*l**(-1))\/(l**(-1\/4))**(-3\/22)) assuming l is positive.\nAnswer: l**(-3869\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14952*y + 2 + 44865*y - 14955*y - 14957*y + 1 - 3.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 82401998 * -0.6.\nAnswer: -49441198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11718 and 1757018.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 540090.914 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 6) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1942175903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 3*a + 3*g + 436, 5*g + 442 = -3*a. What are the prime factors of a\/4*(0 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 0*k = 15127. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/119540 and -121\/239080?\nAnswer: 239080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x + 13. Let p be m(14). Let o be p\/(-3) - (-1000)\/15. Is o + 3 + (0 - -2) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40 + 10. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7556276499 to the nearest integer?\nAnswer: 86927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/408*-17*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a - 84 + 204. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 162148 by -81074.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.07 - -0.32. Let r = w + 1.31. What is r rounded to 1 dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x + 6. Let p be r(-6). Suppose -2*m = -1 + 7. Which is the closest to p?  (a) 5  (b) 2\/3  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 16\/6 + (-2)\/(-6). Let w(y) = 6*y + 2. Let b = -1 - -3. Calculate the lowest common multiple of b and w(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-344)\/(-306) + (-120)\/(-108). Which is bigger: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-5) + 2\/(-12)*9118\/(-1455).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19 - -159. List the prime factors of k.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/22 + (-32)\/(-176)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 373334059 and 1.64464.\nAnswer: 373334060.64464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/(u\/(u\/u**(-1)))*u**10*u*u**(-12)\/u**(-2\/3) assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3570, 3579, 3594, 3609, 3618?\nAnswer: 3615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5188 and 1664051.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*g*r*x*z + 40*g*r*z + g*r - 2*g - 83*r*x*z + 15660*x*z wrt r?\nAnswer: 4*g*x*z + 40*g*z + g - 83*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 2:09 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 2*a = 22, -2*a = -0*w - 3*w + 32. Suppose 0 = 5*t - 0*t + w. Let b(p) = 3*p**3 + p**2 - 2*p**2 + 4*p**2. Determine b(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -275363.\nAnswer: -1101452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*sqrt(52)*6 + 3.\nAnswer: -12*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 66 = -4*p, p + x + 11 = 3*x. Is (-5)\/p + (-1900)\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n + 22*u - 2578 = -49*u - 12*u, -11*n - 3*u - u = -113 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, y: 10}. What is prob of picking 3 y?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3*6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*r - 37*r - 63882 + 231229 = 0. What is the remainder when r is divided by 585?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = z - 1, 22*h + 5 = 2*z + 23*h. Let f(g) = -g + 23. Let m(o) = o - 26. Let c(q) = z*m(q) + 4*f(q). What is c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-72)\/(-232))\/(3*(-12)\/((-12)\/1))?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4752817480 to the power of 1\/2, to the nearest integer?\nAnswer: 68941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39.008 - 0.008. Let u = z + -39.9. Let b be 6\/16*7\/((-126)\/(-12)). Put b, -1\/3, u, 3 in decreasing order.\nAnswer: 3, b, -1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23232 and 1536.\nAnswer: 185856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -201 - -199. What is the second biggest value in t, 1, -88, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 77*f**3 - 24*f**3 - 36*f**3 - 22*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1690 - 1704. Which is the closest to w?  (a) 0.2  (b) -5  (c) 3\/10  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/8)\/(49\/(-14))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 3*z - 21, 3*z = -5*p + 32 + 9. Suppose 3*y - 8 - p = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -9 + 206*c**2 + 481*c**2 - 18*c - 685*c**2. Determine i(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1177*g = 1194*g - 51. Solve 2*v - 16*l = -18*l + 12, g*v - 4*l = 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 - (3 + -2 + 0 + -13)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (189 + 166 - 266)*(0 - 6*j**4 + 0) to u*j**3 + g*j + o*j**2 + h*j**4 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68 + 3 = -15*i - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 12 = 4*j, -2*v - 5*j - 4485 = -4479 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -47*g + 47*g + 48*g**5 + g**5 + 8*g**5 + 5*g**5 + (2 - 2*g**5 - 2)*(0 - 4 + 2) + (-2 + 6 - 3)*(2*g**5 + 3*g - 3*g).\nAnswer: 68*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 643.91 - 278.\nAnswer: 365.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 3*k**2 + k - 2. Let a = 1 - -2. Suppose 5*v + a*s + 19 = -0*v, -17 = v + 5*s. What is the units digit of b(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.83103755 rounded to 1 decimal place?\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 3*u**3 - 5*u**2 - 2*u. Calculate the smallest common multiple of 24 and t(3).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5093 - -7703. Is 58 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-105)\/20)\/(-7))\/((-30)\/(-20)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4469?\nAnswer: 41, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h - 4*w + 30, -5*h - 134 = w - 48 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 3  (b) 423  (c) -4786\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9\/17  (b) 7\/18  (c) 22  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*t**2 + 2*t - 2*t**2 + 0*t - t.\nAnswer: -5*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 s and 1 f when three letters picked without replacement from {f: 2, k: 3, s: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (3\/((-135)\/12))\/((-15)\/((-90)\/8))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y + 504 = 454 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.3 + -2.31. Let z = f - -0.31. What is the closest to -0.1 in z, 5, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 148078263 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + 13*g**2 + 28*g - 184. Give k(-17).\nAnswer: -1816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1857428372 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 3:49 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (32\/(-24))\/((-4)\/6). Suppose 5*f = 3*x + 118, -f + 6*f - 117 = i*x. Let c = 31 - -35. Calculate the remainder when c is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 2)*(-4 + 4 - 3*q) + (22 - 22 - 8*q)*(0 - 2 + 4) - 261 + 261 + 22*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 120129, 240246, 360363?\n\"Answer: 120117*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 23 = 3*t + t, 5*t = -2*z + 27. Let i(v) = -3*v - 3. Let k(a) = -a - 1. Let l(d) = d + 1. Let w(x) = k(x) + 2*l(x). Determine t*w(n) + 2*i(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -58.39 rounded to zero decimal places?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -6, -65 in descending order.\nAnswer: -2, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y - 3 = 0. Let g(i) = -i**2 - 11*i - 7. Let l be g(-10). Let x = -2 + l. Calculate the highest common divisor of y and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -347 + 359. What are the prime factors of (-2 - -1)*-6*2656\/y?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -1213943, -1213951, -1213965, -1213985, -1214011, -1214043, -1214081?\n\"Answer: -3*j**2 + j - 1213941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(-144))\/((-5)\/1210) and (-75)\/20*2\/(-240)*-6.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 - -46. Let k be (11 - -1)*v\/(-15). Calculate the lowest common multiple of 6 and (-150)\/(-12) - (-12)\/k.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -378, -1926, -5262, -11010, -19794, -32238, -48966, -70602?\nAnswer: -97770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-6))\/(3*2\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 63 - 59. Solve -5*t + 2*t + 5*y = 10, s*t = -3*y + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 95 (base 11) to base 3\nAnswer: 10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 113 + -7b148b?\nAnswer: -7b1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 604272, 603986, 603700, 603414?\nAnswer: 603128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 854 a factor of 3870450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1127640 divided by -9397\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 53587 and 574?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(-3 + sqrt(7)) - sqrt(7)) + sqrt(700))*1.\nAnswer: -12 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (1 + 3 + -3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 1057 = 2*v + 4070, 5*v - 12052 = -4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 36970480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + z**2 - 2*z - 424. Let b(u) = -u**3 + u**2 - 3*u - 425. Let d(x) = 2*b(x) - 3*f(x). Is d(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9329.627 seconds in microseconds?\nAnswer: 9329627000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(9\/12))\/(-9 - 4424\/(-504)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1024*j - 15 = -1029*j. Solve 19 = 5*i + j*a, -3*i + a = -8*i + 23 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -2*h**2. Let s(r) = 182*r**2. Give s(w(m)).\nAnswer: 728*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/144 and -37\/108.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 15*b - 3 = -16*b, 3*b = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26*p**4 - 480*p**3 + 4*p**2 + p + 1886?\nAnswer: -624*p - 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -25*x**3 + 5*x**2 + 6*x + 6. Let b(t) = -t**3 + t**2 + t + 1. Let a(k) = -6*b(k) + m(k). Find the third derivative of a(v) wrt v.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 + 0)*(-2*f + 2*f + 2*f) - 3*f + 4*f + f + (-4*f - 4*f + 3*f)*(-2 - 1 + 1).\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 0 + 8 = 0. Does 11 divide (a - -1)*(-55)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20426270.\nAnswer: 2, 5, 2042627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*f + 2295 = 12*f + 2997 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 8\/453219591 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1632, 6812, 15442, 27522?\nAnswer: 43052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-50)*15\/(-4). Let s = 23355 - 115858\/5. Let h = s + -184. Which is the nearest to 0?  (a) -3  (b) h  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12804 - 12799. Let l(p) be the third derivative of 0*p + 0 + 7\/12*p**4 + v*p**3 - 4*p**2. What is the first derivative of l(d) wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1492 + -0.1492. What is the nearest to -6 in l, -0.1, -0.2, 1\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -12442 + -41112?\nAnswer: -104104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 925529381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -15\/43 and (-42)\/16 + 2 + -1.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/75*(-2)\/(-2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13777 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 smaller than -9\/998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 34097032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -25 + (-2 - -16) - -15\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*r**4 + 11 + 33*r**4 + 2*r + 73*r**3 - 38*r**3 - 35*r**3 wrt r?\nAnswer: 456*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -199 + 215. Calculate the greatest common factor of l and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1991 + -981. What are the prime factors of b?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n - 79 + 79.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 1236494 = 17*m, -m + 2*k + 38435 + 34313 = 0. What is the greatest common factor of 32 and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v + 5. Let n be o(1). Suppose -n*p + 517 - 139 = 0. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 0  (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) be the first derivative of 55*f**3\/3 + f**2\/2 + f - 2. Is q(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*z + 554 - 590 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 97, 750, 2519, 5962, 11637, 20102?\nAnswer: 31915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 7*k - 5. Is 1 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2682736, -2682739, -2682736, -2682721, -2682688?\nAnswer: -2682631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 7*w + 55. Let m be s(-9). Let i(c) = -10*c - 75. Let h be i(m). Solve 2*n + h*k = -19, -2*k + 6*k = -n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 + 8*h**2 - 6*h - 4. Let g be z(8). Let a = 39 - g. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from jljnmnmmgkmmlg.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1783 is divided by 177?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/41993 and 127\/1091818.\nAnswer: 1091818","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.09 - -5.09. Let g = 0.01 + 8.99. Let y = -8 + g. Which is the closest to y?  (a) w  (b) -2\/13  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.2908865237 to six decimal places.\nAnswer: 0.290887","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 619 = u, 2*r + 5*u = 780 - 131. Let n = 269 + r. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1002028 or -4008115\/4?\nAnswer: -1002028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9792)\/(-16))\/6*(-3)\/(-18)*3\/(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -242 + 129. Let l = -104 - b. Do -5\/3 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-4)*152\/228.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2030758, 4061412, 6092066?\nAnswer: 8122720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -11 + -1320351?\nAnswer: -1320362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1\/9)*t)\/t**5)**34\/(t**(-1\/10)\/t**(2\/9))**37 assuming t is positive.\nAnswer: t**(-11507\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.24092 - -0.1.\nAnswer: -0.14092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*a**4 + 2*a - 63 + 0*a + 137*a**4 - 97*a**4 in the form g*a**3 + u + b*a**2 + r*a + s*a**4 and give u.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -682, -2426, -5342, -9556, -15194?\nAnswer: -22382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.56 and 0.823.\nAnswer: -0.46088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1388881?\nAnswer: 13, 19, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -95400 to the nearest 1000.\nAnswer: -95000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 15\/(-1 + (-2 - -4)). Suppose -v + 4*v = -5*p + 39, -p - 3*v + q = 0. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2940098*t + 4*p + 9 = -2940093*t, -2*t = -p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2113 (base 8) to base 14.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39 and 15?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = -x + 66. Suppose -t - x = -6*t. Let w = 44 - 27. What is the remainder when w is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42030 (base 5) to base 16\nAnswer: -acd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -19 - (-15 - (-16 + (-13 - -11)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g - 5*g - 20 = 0. Let z be 60\/(-4)*(-12)\/g. Let m be 10*(z\/5 + -3). Let q(p) = p**3 - 5*p**2 - 5*p - 4. Calculate q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 10*z = -13*z + 27, 39 = -3*k + 3*z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 121\/50 and -131\/1616250?\nAnswer: 1616250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + 3*sqrt(228)))*3*1)\/(4*(sqrt(12) - 3*sqrt(300))).\nAnswer: 9*sqrt(19)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -30 - 16.0754.\nAnswer: -46.0754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 78, 102, 124, 144, 162, 178?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - -3. Let g = -8 - -13. Let p be (3 + -1 - 3)*(-30 + 27). Solve h = p*t - j, -3*h - h = 3*t + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9088*d**5 + 37598*d**3*f**2 + 13*d**2*f - 2*d**2 - d*f**2 - 2*d - 953851*f wrt d.\nAnswer: 545280*d**2 + 225588*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48\/(-120)*5 + (2 + 5 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -5, -0.27 in increasing order.\nAnswer: -5, -2, -0.27, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6314.925nm in kilometers?\nAnswer: 0.000000006314925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 PM and 10:54 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1038316 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrryhyyhryy. What is prob of picking 2 h, 1 r, and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) -2\/9  (b) -10  (c) -1\/13  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 677254299 divided by -4259461.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.034473ml in litres?\nAnswer: 0.009034473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-52800)\/22000)\/(6\/3)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3b8a (base 16) to base 15.\nAnswer: 47b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + -4 + 6 + (5 - 13) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1304966809 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0641 - -29.9641. Let t = -30 + h. Let z = 6 - 6. What is the second biggest value in -0.5, t, z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -154928 - -154928.99987. Let v = y + -1. Round v to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 12697948, 25395924, 38093900, 50791876?\n\"Answer: 12697976*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 6*d**3 + 64*d**2 + 154*d = 0.\nAnswer: -7, -11\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-86)\/645)\/(180\/(-2575)) and -73\/9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56367948 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**2 + 8*z**2 + 2*z**2 - 2*z**2 as s*z + y*z**2 + k and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -144*d - 1. Let w(g) = 2*g**2 + 5*g + 18. What is the remainder when q(-1) is divided by w(0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l**3 + l**2 - l + 4. Suppose 0 = -10*h + 5*h. Let f be b(h). Suppose -3*n + 3*w + 1110 = 0, 1378 = 3*n - f*w + 269. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 39 = 3*u, -3*f + 24*u = 23*u + 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (-11 - -25) - (-2 + -1 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2080\/33 - -686\/11. What is the closest to 0 in 1\/12, t, 4, 60?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 - 14*n**2 + n - 10. Let u be f(14). Suppose -2*b + 159 = 5*q, -2*b - 181 = -5*b + u*q. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(2057)*1 + sqrt(2057) - ((sqrt(2057)*1 - sqrt(2057)) + -2 + sqrt(2057) - sqrt(2057)))**2.\nAnswer: 220*sqrt(17) + 8253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-5*(sqrt(99) + sqrt(99) + 2*sqrt(99))*-4)\/(-6*4*sqrt(9)*-2) + 5.\nAnswer: 5*sqrt(11)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -15. Suppose -2*q - 5*g + 13 = 0, -2*g = -t*g - 3. Let d = -7 + q. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700241000 rounded to the nearest one million?\nAnswer: 700000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -125. Let u = 66 - l. Let w(d) = 0*d - 1 + 6*d - d + 2*d. What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k + 2*k - k)*(-8*k + 21*k + k**2 + 6*k).\nAnswer: 2*k**3 + 38*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14913 is divided by 132?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-5))\/((-189)\/70 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*a**2 + 25*a**2 - 6*a**2 - 6*a**2.\nAnswer: 101*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -41 + 13 + 42 + 101*x + (-2 + 1 + 0)*(4*x - 3*x + 5*x) to the form o*x + t and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.192842 rounded to one decimal place?\nAnswer: -29.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 98242960243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**5\/4 + 291*c**4\/4 + 741*c**3 + 2760*c**2 + 4416*c + 2580 = 0. Calculate c.\nAnswer: -86, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1.87083+0.236\nAnswer: 2.10683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -15*x**2 + 5*x. Let r(j) = 260396*j. Calculate r(s(k)).\nAnswer: -3905940*k**2 + 1301980*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, -52, 3, 2 in descending order.\nAnswer: 3, 2, -4, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 5*k. Let l(u) = 3201544*u. Give q(l(p)).\nAnswer: 16007720*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -4 + 1. Let o be 2\/2 + 2 + 0. Let u = 7 - o. Sort -5, u, q.\nAnswer: -5, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.90947 milligrams to tonnes.\nAnswer: 0.00000000590947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5662 + -186. What are the prime factors of l?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:28 AM and 11:28 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17 + -22. Put f, 0.1, 5, 2\/5 in descending order.\nAnswer: 5, 2\/5, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lzpz when four letters picked without replacement from plpzoooopopzpppp.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -1\/4  (b) -20  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.12 + -7.17. Round h to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0579595586 rounded to four decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*p**3 - 4108*p**2 - 6768*p + 29808.\nAnswer: 4*(p - 207)*(p - 2)*(5*p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o + g + 224 = 19711, 5*o - 5*g = 13885. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 9*s**2 + 20*s + 1. Let v be u(-11). What is the first derivative of 30 + v*k - 16*k - 25*k**4 - 7*k wrt k?\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in 5, -4, -0.37, -5?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -110101111100111010 (base 2) to base 11\nAnswer: -141037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5451 is divided by 2724.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3383 by 1.\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76, -150, -226, -304, -384, -466?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**2 + 11*v - 5. Let u(r) = -2*r**2 + 6*r - 2. Let c(y) = 2*j(y) - 5*u(y). What is the units digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v**2 + 4*v. Let x be z(-6). Suppose x = 3*n + n. Suppose n*d = -2*d + 75. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82159 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 539.028 - 540. Let x = -0.028 + f. Which is the nearest to 2\/7?  (a) -2  (b) -4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + 1)*(-1087 + 20*x - 21*x + 1155) to the form v + g*x and give v.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -9141.598 rounded to the nearest 100?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-7))\/((-30)\/70).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 + 3*w**2. Suppose -2*t + 6 - 2 = 0. Let m be g(t). Suppose 2*p = 4*f + m*p - 22, -2*f + 2*p = 4. Solve 0 = q + 2*q - f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77575 (base 8) in base 3?\nAnswer: -1122202210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -3489?\nAnswer: -4\/3489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -1\/4*r + 1\/4*r**2 - 1\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = -6*m + 92, 0 = 2*l + 1819*m - 1816*m + 26 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2962.4 and -0.01.\nAnswer: -29.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 335 - 332. Solve -3*b - 9 = d*u - 0*b, -b + 27 = -5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 653 - 417. Suppose d*w - 240*w = 16. Let k(a) = 6*a**2 - 3*a - 3. Let t(p) = 7*p**2 - 4*p - 4. Give w*k(i) + 3*t(i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 20 = 12*x. Suppose j + x*j = 3*g + 110, 5*j + g = 90. Calculate the remainder when 111 is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -150205 + 150204.8000013. Let q = 0.05 - 0.25. Let u = a - q. What is u rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4190, -4179, -4160, -4133, -4098, -4055?\n\"Answer: 4*q**2 - q - 4193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5031465 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-8328)\/(-9))\/(((-16)\/9)\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**2\/11 + 356*p\/11 - 64.\nAnswer: -2*(p - 176)*(p - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**2 - 6*i + 3. Let d be -2 - (-3 - -9)*13\/(-2). Let l be 33\/(3\/9*-3). Let y = d + l. Calculate q(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -7*m + 8. Suppose m = q - 0. Let d be q + 18*4\/8. Solve 26 = 2*c + 4*o, c - d - 6 = -3*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 12:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12 + 18. Let o be 2\/(-6) + (-4)\/l. Which is greater: -3\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -0.05, -195\/19, -0.4, 1\/2, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34269826.\nAnswer: 2, 17134913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -100.5874212 to 1 dp.\nAnswer: -100.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -123668093 and 1.\nAnswer: -123668093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -y**4\/12 + 16*y**2. Let n(x) be the third derivative of 2*x**4\/3 - 175*x**2. Calculate a(n(u)).\nAnswer: -32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -929*a + 978*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -435 - 12. Let q = 450 + c. Solve a = 2*a + 4*t - 13, -2*a - q*t = -6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 + 6*d**2 + 2*d + 7. Let n be a(-6). Let t = -235 - -124. Let g = -114 - t. Is g <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 11*l**2 - 10*l + 28. Suppose 4*p + 2*v = 10, 4*v = -6*p + p + 5. Is a(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 233 and -2.\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 3 + (2 + 0 + 0)*(-1 + 2 + 0) + 1 - 5 + 2)*(-179*o - 50*o + 85*o)*(-o**2 - 5*o**2 + 4*o**2).\nAnswer: -1440*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 26593597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1053 and 585.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 3*j - 148. Determine f(35).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -2*d + 5253, d = -4*u + 645 + 1977. Let z = d + -1747. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 913?\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m**2 + 5*m + 4. Let t be x(-1). Let c(r) = -3*r**2 - 7. Let f(j) = 2*j**2 + 5. Let h(l) = t*c(l) - 7*f(l). Let p(i) = 8*i. Determine h(p(n)).\nAnswer: 64*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24139 = 3*a - 4*h, 4*h = 5*a + 9*h - 40290. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -6*-3*(-5)\/(-9). Let m be (-4 + -1)\/n*10. Let j(u) = -u**2 - 6*u + 3. Is j(m) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -199 + 300. Suppose -43*q - t + 617 = 0. Solve 0 = -j + 4*j - q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) 2788  (c) -373  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*k + 283 = 114*k + 1579 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 432433 <= 432433?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 64 - 29. Suppose -6*y + c = -1. What is the units digit of (-222)\/8*-3 + y\/(-24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000044127434 rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -203105 and -731309?\nAnswer: 528204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 - 0. Let b = -306 - -306.3. What is the third biggest value in y, -1\/5, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -543*x - 5028. Calculate a(-10).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 9. What is the closest to 2\/13 in 4\/7, -3, z?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40117 divided by -11.\nAnswer: 3647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 386, 387, 388?\n\"Answer: w + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/30*-3)\/((-1)\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 495424576.1 rounded to the nearest one million?\nAnswer: 495000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 476711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 342, 755, 1168, 1581, 1994?\n\"Answer: 413*j - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0\/127*14\/(-84)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 31)*(3*k + 0*k - 4*k)*(-13 + 13 + 9*k**4).\nAnswer: 225*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 428 is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 198, 195, 192, 189, 186, 183?\n\"Answer: -3*m + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8874528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4137, 8461, 12775, 17079?\nAnswer: 21373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 539675\/472234 + 3\/67462. What is h in -4\/7 + n*h**3 + 3\/7*h**4 + 1\/7*h**2 - 8\/7*h = 0?\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 163 - 94. Suppose -n = -4*k + 5*s, -3*s + 7 = k - 6. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000100001 - -1000001?\nAnswer: -111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 290 and 8770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -67063 + 135224. List the prime factors of a.\nAnswer: 68161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -1\/2*v**2 - 5 - 5*v. What is the derivative of i(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 a when two letters picked without replacement from {a: 1, h: 2, v: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 7*y**2 - 8*y - 12. Let u(t) = -4*t**2 + 4*t + 6. Suppose 14*r = 17*r - 15. Let h(w) = r*u(w) + 3*z(w). Determine h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3*d. Let o(x) = -1213 - 108*x + 1213. Calculate o(i(f)).\nAnswer: -324*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + 7. Let v be 15\/9*u + -1*3. Let r(m) = m. Let k be r(2). Solve -v*i + 0 - 3 = -5*f, i - k = -f for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.38 - 3.62. Let u = -0.4 - -0.3. Which is the nearest to u?  (a) -4\/7  (b) -2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 2503 and 97562\/39 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*k - 4*k - 2404 = -61*k - 6754 for k.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(405) - (sqrt(45) + 2*(sqrt(45) - sqrt(405))))\/((sqrt(9) - ((sqrt(441)*-4 - sqrt(441) - sqrt(441)) + sqrt(441)))*-2).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -43*m**2 + 75*m**2 - 37*m**2 in the form v*m + q*m**2 + l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/5 in 5.1, 2, -2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 4. Let a be x(-6). Let j be -5 - 32745\/(-1 - 2). Let t be a\/13 - j\/(-65). What is the greatest common divisor of t and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -65, -78, 2\/23 in increasing order.\nAnswer: -78, -65, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 43\/6 in -5, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 234 = 2*q. Suppose -3*z = -q + 15. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -489278, -489873, -490472, -491075, -491682, -492293?\n\"Answer: -2*o**2 - 589*o - 488687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -299, 358, 1025, 1708, 2413, 3146, 3913?\nAnswer: 4720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192 = 5*t - 2*o, t - 24 - 16 = 2*o. Suppose -42*l + 2600 = -t*l. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4824519220 rounded to the nearest 1000000?\nAnswer: -4825000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -352 + 629. List the prime factors of a.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -106, -850, -2860, -6754, -13150, -22666?\nAnswer: -35920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 221, 247, 243, 209, 145, 51?\n\"Answer: -15*t**2 + 71*t + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3078 and 2669652?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65797 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 0 - -11) + (30 - 37)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67315616\/5 or -13463124?\nAnswer: -67315616\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 + -4 - 7) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5901165 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, 11, -4, -3\/4, 1, -39 in increasing order.\nAnswer: -39, -4, -3\/4, -2\/11, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13449516 to the nearest integer?\nAnswer: 3667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/(-3) - 5 - -3522. Suppose 3*g + b = -2650, -g - 4*b - d = 3*g. Does 13 divide g\/(-35) - (-4)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uuuffuufuuuu. What is prob of sequence ffu?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.5 - 4.5. Let y be (-309)\/90 - -2 - -1. Let q = 1\/10 + y. Which is the closest to -2\/5?  (a) 1\/3  (b) z  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12707\/12 - -1059. Is u greater than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -29, -0.2, 1\/3, 1\/32, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rsgprrsgpjpcggr. Give prob of sequence rp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 1. Let j(g) = 5*g**3 + 2. Let h = -368 + 370. Determine h*t(f) + j(f).\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 11, n: 5}. What is prob of picking 4 n?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -40*d**2 - d - 1. Let i be y(-1). Let w = 45 + i. Suppose a + 668 = w*a. List the prime factors of a.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10972?\nAnswer: 2, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12243442 - -44221?\nAnswer: 12343213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -5\/4, -50, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 3. Let l = 9.7 - 10. Which is the biggest value?  (a) l  (b) 3  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6 - 0 - (-8 + 12))*1. Suppose -l*d - 2*d = 164312. Is 7 + (-79)\/11 - d\/22 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21738*u - 344 = -2*b - 21718*u, -u = 2*b + 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = 2*g + 4. Let s = g + 1. What is the units digit of 2 - (s + 21\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 16*i**2 - 19*i - 14. Let w be (-6)\/(-4)*248\/12. Let j = 16 - w. List the prime factors of r(j).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wizeycw. Give prob of sequence czyc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 138910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2573390 is divided by 5757?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the first derivative of -b**3\/3 - 3*b**2 + 11*b - 18. What is d(-9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1210 divide 76939060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/(-2) + 7 - 57168. What is f rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/10)\/(2432\/(-72960)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) 0  (c) 24177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 389 = -380. Solve 4*g + p*j = 15, 0*g + 3*g - 4*j = -20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:07 PM and 12:13 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4443 + 124?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 81.6894s to microseconds.\nAnswer: 81689400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -196 divided by 49.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o - 111 = 29. Suppose 6*i = i + o. Let j = -1 - -9. Solve -4*w - j = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**2 + 291 - 291 + 19*g**2. Let n(b) be the first derivative of -b**3 + 7. Calculate a(n(z)).\nAnswer: 144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - 8*a - 7. Suppose 2*c + 0*c - 3*q = 6, -2*q + 44 = 4*c. Let z be t(c). Suppose 0*r = r - z. Solve r*i + 3*i = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - 43?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 + 6 - 6)*(1 - 4 + 2 - t**2)*(-2*t - 18 + 18) as f*t + a*t**3 + i + y*t**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 4*r**4 - 25*r**3\/3 + 3. Find the third derivative of i(t) wrt t.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 5 = -3*w, -3*w + 4*f + 1 = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 623647121.\nAnswer: 2137, 291833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 160\/383 - -136377\/2681. Suppose -3*t = -i + 39, 5*i = -2*t + 23 + 240. Let m = f - i. Is 0.2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1000, 1965, 2906, 3823, 4716?\nAnswer: 5585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - z - z - 6 = 0, -5*c + z + 17 = 0. Calculate the highest common divisor of 32 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130 (base 5) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 628*r - 1633 - 1344 - 2675. Let d be (3\/2)\/((-3)\/(-4)). Let m = 3 + d. What is the least common multiple of m and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 1272.387.\nAnswer: -1271.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 21 = d, 45 = 2*d + 2*f + f. Let n be (15\/(-10))\/(d\/8). Sort 1\/3, 0.5, n, 4.\nAnswer: n, 1\/3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let -7\/8*y**4 - 105*y - 571\/8*y**2 - 57\/4*y**3 - 49\/2 = 0. Calculate y.\nAnswer: -7, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-147 + 147 - 5*r)*(-1 + 2 - 2) + 2*r - 4*r + r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -39 - (14 - -12).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 2*q - 6. Let n be s(5). Suppose 62 = -2*t - 3*c, 2*c + 19 + 12 = -t. Let v = -15 - t. Solve 0 = n*g + 2*b - 16, -3*b - b - v = -4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 5*r = -2*w + 11123, 0 = -5*w + r + 27794. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -7*q + 2. Let j be n(3). Let z be (16 + -4)\/(2\/j). Does 14 divide (z\/(-9) - 2)*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 8*m - 5. Suppose 64*f + 16 = 72*f. Let t be (f - 0)\/((-4)\/(-10)). What is g(t)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 1 = 9. Suppose m + 2 = k. Suppose x - k = 1. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -142 + -15 + -66 + 131.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 + -1.76. Let c = -0.14 + u. Let x = -16.98 + -0.02. Put x, 4\/5, c in decreasing order.\nAnswer: 4\/5, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-21)*l)\/(l\/(l\/l**(1\/23))) assuming l is positive.\nAnswer: l**(-461\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 3*g - 6*g + 6, -g - 7 = 2*m. Let t be (7\/((-21)\/(-114)))\/g. Let f = -25 - t. What is the remainder when 76 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 2) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/3)\/(4 - 136\/36). Let t = a - -16. Suppose 2*m - 4 = 5*x - 12, -3*m + 22 = x. Solve 5*p = 5*w + 40, 4*p = -w + t + m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*w + 1 - 4*w**2 + 3 + 8*w**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2*6)\/((-4)\/((-12)\/(-21))). What is the closest to f in -0.5, -5, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 168.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 3:17 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus -6.1608?\nAnswer: -5.6608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 86\/33 - -1873\/231. Which is smaller: 12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1672392 and 4390029?\nAnswer: 35120232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-11)\/66)\/(1\/(-9)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - -8. Let u = t - 20.4. What is the smallest value in u, -1\/2, 6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxmvrrrrd. What is prob of sequence vdr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 293*d**2*m - d*m - 119*d wrt d?\nAnswer: 586*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -231 + 3?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-59)\/(-295)*((-17)\/(-5))\/(11*8\/2200)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22.6145 - -5.769. Let d = c - -16.8. Round d to three dps.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -1. Let b(o) = -342*o**2 + 2*o + 1. Calculate -b(u) - 2*s(u).\nAnswer: 342*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) 2\/3  (c) -4  (d) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -200.5 - -213.5. Put 15, 5, 0.2, n in increasing order.\nAnswer: 0.2, 5, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7820.712 decades in centuries?\nAnswer: 782.0712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 20*h**4 + 1718*h**3 - h + 34. Let n(o) = 9*o**4 + 860*o**3 + 16. Let q(g) = -9*n(g) + 4*w(g). Find the second derivative of q(j) wrt j.\nAnswer: -12*j**2 - 5208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7980 and 4560.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 335456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 46 = -3*x + 15, 5*x + 45 = -2*z. Is x >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**16*u**(2\/27)*(u*(u\/u**(1\/7))\/u*u)\/(u\/(u**8\/u)))**(-33) assuming u is positive.\nAnswer: u**(-49753\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 - 6*h**2 - 7*h + 94. Let r(a) = -a**3 + 10*a**2 + 44*a - 56. Let y be r(13). What is the units digit of x(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - k - 84. Let r = k + -23. Suppose -9 = -2*v + r. What is the greatest common divisor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.098 + 0.102. Which is the nearest to i?  (a) -2\/5  (b) 1  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -0.074, -2\/9, 8, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*m**3\/3 - 36796*m**2\/3 - 4030476*m - 575532.\nAnswer: -4*(m + 657)**2*(7*m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/105 and -76\/63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 49261 + -1?\nAnswer: 49260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 90\/195*13\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 34 + -16. What is the first derivative of 2 + 14*w**2 - 34*w**2 + u*w**2 wrt w?\nAnswer: -4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 10 or 541\/50?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 2*u**2 - u - 7. Let q(o) = -o**2 - o + 1. Let d(i) = 2*i + 5. Let h(t) = -d(t) - q(t). Determine -6*g(n) + 7*h(n).\nAnswer: -5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*(0 + 1 + 0)*(-7 - 8 + 20)*(-1285*d + 5 - 4 + 1240*d).\nAnswer: 450*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 80 + -14175?\nAnswer: -14085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/24 and 55\/2186.\nAnswer: 26232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 2\/7  (c) -978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -3*f + 10. Let a(s) = -7*s + 19. Let w be a(3). Sort 3, f, w in ascending order.\nAnswer: w, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*((-8)\/18)\/(72\/(-54)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v - 2. Let q(i) = -1. Suppose u = 3*p - 11 - 6, -5*p + 8*u + 41 = 0. Give p*q(j) + s(j).\nAnswer: 2*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + -5 + 14\/(-6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/5))**33*f**0*f**2*f assuming f is positive.\nAnswer: f**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*w**4 - 387*w**3 + 66*w**2 - w.\nAnswer: 72*w - 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -3 + (0 - 0) + -14.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in years?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 PM and 9:30 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 234657227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1217767?\nAnswer: 19, 107, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -3824 (base 9) in base 10?\nAnswer: -2857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -52*v**5\/3 - 68*v**4 - 296*v**3\/3 - 184*v**2\/3 - 12*v + 4\/3.\nAnswer: -4*(v + 1)**4*(13*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 137940743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -31298650 divided by 1535?\nAnswer: -20390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, o: 1, v: 1, s: 2, f: 2, a: 1}. Give prob of picking 1 v and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3476 is divided by 1735?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1289\/90 less than -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 31568244 and 8270?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 2:02 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35943.\nAnswer: 3, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (-2*sqrt(171) - sqrt(171))*-1 - sqrt(171) - sqrt(171) - sqrt(171))\/(-4*sqrt(9)*2) + -4.\nAnswer: -4 + 5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22824 is divided by 2853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*z + 7. Suppose 4 + z = -3*s - v, s + 9 = 2*v. Let w be ((-4)\/s)\/2*-3. Which is smaller: w or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-94)\/138744)\/((-10)\/240)*(-2)\/4.\nAnswer: -1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.0283 days to seconds.\nAnswer: 1384845.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -637*z - 5128 + 335 = -544*z + 2368 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12 - -292. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1*(-3 - -3))\/(-1). Let q(g) = g**3 + 1 - 3 + 5. Let x be q(w). Let i(y) = -2*y + 4. Determine i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1131 + 120222120?\nAnswer: 120223311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 6*v + 3. Let b(r) = -2*r + 24. Let n(i) = -i + 16. Let a(x) = 2*b(x) - 3*n(x). Give 4*a(w) + z(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 12*n - 2. Let m(x) = -35*x + 6. Let z = 496 + -513. Determine z*g(k) - 6*m(k).\nAnswer: 6*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7680*z**3 - z - 7679*z**3 + 1 - 1 + 15362*z**3.\nAnswer: 3*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -33  (b) -3  (c) 33  (d) 28  (e) -1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -15, 5, 21 in decreasing order.\nAnswer: 21, 5, 4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b + 18. Determine h(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 504\/(-448) + 5597\/232?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -j**3\/3 - j. Let b be (6\/(-12))\/((-3)\/336624). Let f(w) = -56104 - 47*w + b. Determine m(f(h)).\nAnswer: 94*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -6, 1, -4, 17, 0 in decreasing order.\nAnswer: 17, 1, 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -675 + 745. What is the first derivative of a - 5001*r - 5162*r + 10267*r wrt r?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*n + 16*n + 351*n**2 - 354*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3977912 and 184.\nAnswer: 91491976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23933484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 divided by -1?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/((-6)\/(-9)*-3). Suppose d*t = -2*t - 2*y - 8, -4*t - y - 16 = 0. Is -3 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 5*l + 13, -4*i + 5*l + 40 = i. Let c(v) = v**i + v - 8*v**2 - 2*v**3 + 0*v + 2*v**3. Calculate the remainder when 21 is divided by c(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes before 1:39 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 14965440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ub when two letters picked without replacement from {u: 2, b: 1, i: 1, a: 2, d: 4, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10479.98566 - 4.2063.\nAnswer: -10484.19196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1017*39.76\nAnswer: 40435.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-41 + 1)\/(-5) - 4. Suppose 5*v - 4*z - 1142 = 0, 0*z = -n*v + 2*z + 910. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 185503, 186079, 186657, 187237?\nAnswer: 187819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*v**2\/3 - 3151*v - 1454\/3.\nAnswer: -(v + 727)*(13*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 25 = 3*l. Let t = 0.35 + -0.05. Let y = -0.4 + t. What is the closest to y in 0.3, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2074, 3567, 5004, 6391, 7734, 9039?\nAnswer: 10312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2054.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*x - 4*a = 11*x + 646, 264 = 2*x - 3*a. What is the second derivative of -127 + p**3 + 3*p**3 + x + 5*p**2 - 10*p wrt p?\nAnswer: 24*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/(-10) - (-42)\/30)*-178. Let x = -97 - p. Suppose -78*o - 195 = -x*o. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1945118 and 1400?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 299.516 - 299. Let x = -0.38 + a. Let p = 0.135931 - x. Round p to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ov when two letters picked without replacement from {o: 5, v: 3, b: 3, g: 1}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -11639, -11640, -11641, -11642, -11643, -11644?\n\"Answer: -y - 11638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6206\/63 + 688\/7. Which is the nearest to -1?  (a) w  (b) -2\/11  (c) 4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, l: 2, j: 1}. Give prob of sequence jll.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17186665 and 505.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 8 divided by -36\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 102*c*j**2 + 2*c*j - 394*c - 12*j**2 + 656245*j wrt c.\nAnswer: 102*j**2 + 2*j - 394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*1 + 0\/(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 51106392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -3*j + 1. Let r = -33 - -37. Let w(x) = -16*x + 5. Determine r*w(f) - 22*n(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 343544403 + 4?\nAnswer: 343544410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/2 and 6\/(-9) - 202\/(-96).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (2 - 1) - (8 + -9 + -7)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/14)\/((-18)\/126). Factor 0 + 2\/11*b**3 + 2\/11*b + 4\/11*b**h.\nAnswer: 2*b*(b + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-4)*368\/(-10764))\/((-2)\/48)?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-172)\/(-129)*(2\/(-4) - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -130, -1105, -3756, -8923, -17446, -30165, -47920?\n\"Answer: -140*m**3 + 2*m**2 - m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 - 7*y + 2. Let j be l(-7). Find the common denominator of -47\/11 and 9\/j*50\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2164155*i**3*q**3 - 679627*i**3 - 2*i**2*q**2 wrt q?\nAnswer: 12984930*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50069203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 14*v + 8. Let c(z) = -13*z - 9. What is 5*c(y) + 6*l(y)?\nAnswer: 19*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - -1693\nAnswer: 1692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 4*m**3 + 6*m - 4. Suppose 4*n = 8*n - 24. Let c = 4 - 2. Let q be (5\/2)\/((-1)\/c). Let a(f) = 5*f**3 + 7*f - 5. Calculate n*d(h) + q*a(h).\nAnswer: -h**3 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 542, 518, 482, 428, 350?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 8*f**2 - 6*f + 3. Let k be u(7). Calculate the remainder when 18 is divided by 14\/10*(k - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -23*n. Let h(l) = 4*l**2 - 8*l. Let q(d) = 4*d**2 - 10*d. Let s(p) = -5*h(p) + 4*q(p). What is x(s(i))?\nAnswer: 92*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 128 by -1.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15336.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/3))**(-1))**(-1\/13) assuming u is positive.\nAnswer: u**(1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1300) + -2)**2.\nAnswer: 80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -0*x - x + 5, -5*y = 5*x + 5. Let b be 9\/((-16)\/6 - -3). Let n be 2\/9 - (-21)\/b. Solve 4 = -v + f + n, v + x = 2*f for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4864456, 9728934, 14593400, 19457848, 24322272?\n\"Answer: -q**3 + 4864485*q - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 70*k - 574. What is d(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-44 - 2) + (-58 - 4998\/(-119))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of -b**5\/30 - 8*b**2 - 19*b. Let u(h) = -h**2. Let g(z) = -16*z**2. Let n(p) = -g(p) - u(p). What is a(n(v))?\nAnswer: -578*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p**3 + 7*p**2 - p - 19. Is g(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -23*c**2 + 1499*c - 231. Determine z(65).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t - 1. Let g(o) = 4*o - 3. Let s(y) = g(y) - 3*u(y). Is s(6) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 - -13. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1384288406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1426 + -1445 - (-18 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -9*t - 11. List the prime factors of n(-32).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4630 + 37334?\nAnswer: 40964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-64)\/(-16))\/24)\/((702\/(-24))\/9)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m + 2. Suppose -76 - 29 = -5*t. Let l(j) = -j - 2. Let i be l(-3). Suppose 0 = -3*r - 4*h + i, -5*r + h - 2*h = t. Determine z(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -155 - 421 = 36*r. Find the common denominator of -1\/104 and ((1 + -3)\/r)\/((-24)\/1968).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = 5*h - 18, 0 = -4*y - 5*h + 3 + 21. Suppose 5 - y = -l. Are -4 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -658 + 767.38. Round r to the nearest integer.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*v + 10518*v**2 - 3*v - 19140*v**2 as h + m*v**2 + f*v and give m.\nAnswer: -8622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 83, -23, 1, -5, 2 in ascending order.\nAnswer: -23, -5, 1, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5.8 + 6. Let r = 76.7 - 8.7. Let b = -61 + r. Is z at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2. Let k be (-15)\/(-2)*(-54)\/(-45). Let h(n) = 19*n + n - k*n. Determine y(h(q)).\nAnswer: -121*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 23 = s - 0*m, 0 = -3*s + 3*m - 33. Let y(a) = -a**2 - 6*a + 10. Determine y(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 645 + -661 + (5 - (-4 + -61))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve z - 4 = 3*k, -2*z = -5*k - 2 - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(2\/33)*f**(-3\/13)\/f*f assuming f is positive.\nAnswer: f**(356\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.00913 - -0.50913. Which is the fifth biggest value?  (a) -64  (b) 0.4  (c) o  (d) 0.3  (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + h**2 + 29*h + 27. What is the remainder when d(-5) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**2 - 2569*s + 296067. What is i(128)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -13*f + 103. Let q be h(6). Suppose 0 = 3*m - 2*m + x - q, 3*x = 15. Is -2 < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + (((sqrt(567) - (sqrt(567)*2 - sqrt(567)))*-4 - (4 + sqrt(567)*-2 - sqrt(567)))*3)**2)*-4 + -4)*3.\nAnswer: -552900 + 23328*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express y**2 + 0*y**4 + 1 + y**4 + 0*y**4 - 2*y**4 in the form g*y**3 + w*y**4 + n + i*y + h*y**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/160)\/(-3*4\/(-24))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/(-27)*((-36)\/(-10))\/(-3). Let j = 1405 + -1405. Factor -x*q + j + 2\/3*q**2.\nAnswer: 2*q*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*s**3 + 4*s**3 + 3*s**3 + 7*s**3.\nAnswer: 30*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 97*a + 84. Let w(d) = -d - 6. Calculate -q(y) - 6*w(y).\nAnswer: -91*y - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 198 divide 68508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -65*o**3 - 3*o**2 + 1 + 127*o**3 - 2*o - 59*o**3 as k*o**3 + b*o + w + q*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -3*n**3 + 99*n**2 + 23*n - 794. Calculate t(33).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12033 is divided by 5702?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from lplppobpbbppb?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = -6*z + 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 3*i - 3773 = -3792, 3*t - 4*i = 27. Sort 28, -18, t in descending order.\nAnswer: 28, t, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l\/(l*l*l*l**1)))\/(l\/l**(-6)))**5)**2 assuming l is positive.\nAnswer: l**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 + 1 - 5)*(-b + b - 2*b) + 0*b + 2*b + b + b + 3*b - 3*b)*(-92 - 52 + 248)*(b + b + 0*b) in the form f + r*b**2 + v*b and give r.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 30*s**2 + 3886*s + 11394. Determine p(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 26511754 - -2?\nAnswer: 26511756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 11:15 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 9 + 33. Let g = c - 2. Solve g*i = -11 - 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -718, -716, -714, -712?\n\"Answer: 2*p - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1649*a**2 + 1641*a**2 - 8154*a**2 + 1648*a**2 + 1570*a**2 + 1645*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 9:48 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1097280 and 324?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (20 - -2) + (-23 + 22 - -10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 194917 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 340 - 340.2. Let a be 2\/(-13) + (-1 - -1). Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 34\/(-1224)*(-135)\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**6\/120 - x**5\/12 - x**4\/6 - x**3 + x**2. Let s(l) = 8*l**2 + 3 + 2 - l**3 + l - 3*l + 7. Let q be s(8). Calculate v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -d - 10 + 30, 4*x = -3*d - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48173051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77249.\nAnswer: 77249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4285*s**4 + 3*s + 1018 wrt s.\nAnswer: 51420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - a576094?\nAnswer: -a576097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f**2 - 6*f + 3. Let c be r(-6). Let t be (-30)\/(-25) + 1195\/25. Suppose -2*a + 101 = 5*b, -5*b - 48*a + 92 = -t*a. Solve 4 = c*l + b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -10\/9, -0.3, -1\/5?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a + 0*a - 2*a)*(3 - 7*a**2 - 3) + (-6*a**2 + 2*a**2 + 3*a**2)*(-2094 - 305*a + 2094) as h*a + k*a**2 + c*a**3 + u and give c.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 629600423 to the nearest integer?\nAnswer: 25092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (12 - 10)) + 10 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 3*j + 2*j + 2*j - 9*j to z*j + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -g**5\/6 + 7*g**4\/24 + 23*g**3\/6 - 15*g**2. Let s be w(-6). Let n = 584 + s. List the prime factors of n.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 7857030.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -7*g**5\/60 + 3*g**4\/8 + 5*g**3\/6 - 17*g**2 - 2. Let v = 5 - 7. Let b(i) = 3*i**2 - 4*i - 2. Calculate v*s(o) - 5*b(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1735179554 rounded to 6 dps?\nAnswer: 0.173518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 8*m - 7. Let z be o(-6). Solve -z*n + 28 = 3 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence th when two letters picked without replacement from {h: 5, t: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 61*r**4 - 59 + 203*r - 203*r - 45*r**3 + 45*r**3 - 2*r**2 as w*r + h*r**4 + t*r**3 + i + s*r**2 and give h.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3878 >= -3875?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (-6*-2*sqrt(13))**2.\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/357547028 and -69\/52.\nAnswer: 4648111364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 653697225.\nAnswer: 3, 5, 67, 103, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9857617756 divided by -4?\nAnswer: -2464404439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 - -6)*(-1 - -2). Suppose 5 + 3 = -4*k + 5*v, 0 = 4*k - 3*v. Factor 0*j + 0*j**2 - 1\/4*j**k + 1\/4*j**s + 0.\nAnswer: j**3*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the first derivative of 5*u**2\/2 - 2*u + 112. Suppose 7 = 3*g + 4*b, -5*b + 8 = 2*g + 2*g. Calculate c(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 636701 - 209689. Suppose -x = -41*n - 79619. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n - 8. Let w be v(13). Let t(p) be the first derivative of -5\/3*p**3 - 7*p + 1\/4*p**4 + 1\/2*p**2 + 2. Determine t(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 210811 divided by -210811.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1768 divided by -442.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9107*u - 8470 = -9349*u for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/2)*(z**(4\/11)\/z)\/z)**(17\/6)\/((z**7*z\/(z**(2\/3)*z*z)*z)\/((z\/(z\/(z\/(z\/(z\/(z\/z**(-1\/3))*z))))*z)\/z**(-5))) assuming z is positive.\nAnswer: z**(-755\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 3.950929 millilitres?\nAnswer: 0.003950929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -212, 936, 2834, 5488, 8904?\n\"Answer: c**3 + 369*c**2 + 34*c - 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*y - 1709 + 889 + 869 - 3*y + y**2 in the form a + d*y**2 + s*y and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 504153 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1441 at most -1441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-1\/24)\/(f*f**(-1)*f))\/(f**(-4)*f\/(f\/(f\/f**(1\/5)))*f*f) assuming f is positive.\nAnswer: f**(19\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.33 + 20.67. Which is the closest to -0.3?  (a) q  (b) 0.1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 8*l**3 - l. Calculate o(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5 + 8. Suppose -3*o = -6, 0 = -2*h + u*o - 8*o + 46. Let f be (-116)\/(-36) - 4\/h. Solve f*j - 1 = 4*j - 4*g, -5*j = -g + 24 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 25915 + b?\nAnswer: 25923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4 - 1)*(12 + 12 + 5)*(45*h**2 + 58*h**2 - 24*h**2) to the form v + d*h + g*h**2 and give g.\nAnswer: 6873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -20*q + 67. Let b(y) = y**3 - 10*y**2 - y - 2. Let c be b(10). Is h(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 2, s: 8}. What is prob of picking 2 s and 2 y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 m when four letters picked without replacement from {p: 2, t: 2, m: 3, g: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -7. Let r = -2.998 - q. Round r to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -75*a**2*d - 2*a**2 - 177840*a - 40545*d - 22 wrt d.\nAnswer: -75*a**2 - 40545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 5355231.4 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -111*p - 79. Calculate y(-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -865 + 6827\/8. Suppose 5*s + 5*y + 18424 = 3*y, -2*s - 2*y = 7372. Let t = s + 36873\/10. Find the common denominator of a and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23 - -24. Factor 4*p + 2*p**4 + 0*p**3 - p - 3*p**3 - p**2 - z + 0*p**2.\nAnswer: (p - 1)**2*(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:02 AM and 10:53 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -1. Let h be j\/(-1) - (0 + (-3)\/1). Let m be h\/(-4 + 97791\/24450). What is m rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1620048 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1234154?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3023 (base 5) to base 16.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**2 - 4*r - 8*r**2 + 3*r**3 + r**2 + 5 + 5*r**2. Let x(j) = 2*j**3 - 3*j**2 - 3*j + 4. Calculate -3*h(b) + 4*x(b).\nAnswer: -b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -358.247249 to two decimal places.\nAnswer: -358.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the first derivative of -2\/3*p**2 + 4\/3*p - 1\/3*p**3 + 7. Solve o(v) = 0.\nAnswer: -2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -24*h**3 + 89084*h**2 + 193120*h + 29712 = 0.\nAnswer: -2, -1\/6, 3714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 1469 + 256*y - 3*y**2 + 2*y**4 - 493 - 485 - 491 as c*y**4 + t + o*y + r*y**3 + l*y**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) 2\/5  (c) 5  (d) 0.02  (e) -0.07  (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -5702, -5729, -5754, -5777?\n\"Answer: h**2 - 30*h - 5673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j - 2*j + j + (2*j - j - 5*j)*(-2 + 4 - 1) + j - 18 + 18.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 12085979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sjpjjiiseejpspjipp. Give prob of sequence jj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**(-3)*k))**(-1)\/(k\/k**(-1\/2))**8)**27 assuming k is positive.\nAnswer: k**(-405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/182 and -71\/8242.\nAnswer: 57694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 3*v. Let w be (-15)\/4 + 4\/(-16). Let h be (-4)\/w + -3 + 0. What is c(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g. Let p(x) = -261*x**2 + 129*x**2 + 131*x**2. Give o(p(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 + 41*p - 389. Let q be b(8). Let v(w) = -9*w - 6. Let u(c) = -9*c - 5. Give q*v(t) - 4*u(t).\nAnswer: 9*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -3005.\nAnswer: 3\/3005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 1 = 0, d + d - 503*u = -508*u - 47 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -9c1?\nAnswer: 9c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*((-3)\/(-18))\/((-7)\/(-14))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 32*p**2 + 10. Let y(h) = -31*h**2 - 12. Let z(a) = 6*n(a) + 5*y(a). Let r(o) = -o**2. What is z(r(m))?\nAnswer: 37*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -8 + 18 - 2*f + 2 - 2*f. Let p be v(8). Let q be (-2)\/(p\/(12\/3))*5. Solve -4*a = -3*a - q*o - 8, -11 = 3*a + o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 + 3*d**2 - 127*d + 364. What is s(7)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2\/7 + 11\/14. What is the nearest to 1\/91 in f, 0.16, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -215, 5, -4, -2 in increasing order.\nAnswer: -215, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/162222 and -32\/29883.\nAnswer: 1135554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 10, 20, 26, 28?\n\"Answer: -2*n**2 + 16*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k**5 - 126*k**4 - 1089*k**3 + 10614*k**2 + 136404*k + 223560 = 0. Calculate k.\nAnswer: -23, -18, -9, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(63) + (sqrt(252) - sqrt(252)*-1))\/sqrt(9))**2.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 185041036 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 206412245 a multiple of 365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*z + 340 = -51*z + 93*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 40.39 - 40. Let o = -0.346 + l. Let t = o - -0.02. Round t to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 67.062 - 67. Let l = -770.9453 - -771. Let w = t - l. What is w rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 98*w + 5 = 97*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14761 + -9745. Suppose -h + 9*h = o. Suppose -c + 0*f + h = f, -2*f + 623 = c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 0*j + 87 = 0. Suppose -3 = -4*b + 3*h + 22, -4*b + j = h. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15964 to the power of 1\/2, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -34 + 15 + -13 + -47?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 63584 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1230200697?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 2*k + 2*k - 2*k + k + 4*k**2 as z*k + p + w*k**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 4*v - 3*g - 135, -g + 147 = 5*v. Suppose 2*d - v = -0*d. Let y = d - 13. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -496.91 + 497. Let o be (8\/12)\/(2\/(-5)). What is the nearest to 0 in 0, c, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/220)\/((-63)\/(-7560)*-72)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of 2\/5*h**2 + 1 + 2\/5*h**5 + 6\/5*h**4 + 6\/5*h**3 + 0*h. Factor l(p).\nAnswer: 2*p*(p + 1)**2*(5*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 122265 and 990.\nAnswer: 244530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 5*r**2 - 2*r - 1. Let t be c(-1). Let g be (0 - 2) + (5 - -2). What is the derivative of t + g*o - 5 + 4 wrt o?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 11) to base 5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -6. Let x(c) = 17*c**2 - 11*c - 8. Let l(k) = 7*k - k - 3 + 6*k**2 - 10*k. Calculate h*x(g) + 11*l(g).\nAnswer: -2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/19  (b) 0.03  (c) -3  (d) 4  (e) 176\/37  (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**3 + 11*i**2 + 2*i - 25. Let c be p(11). Put 3, c, 0.4, -1\/15 in decreasing order.\nAnswer: 3, 0.4, -1\/15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 757113010*j + 637875390.\nAnswer: 757113010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1749 or -1810?\nAnswer: -1749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 239 in 0.06, -1\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 123 - 165. Suppose 5*f + i = 4*g, 0 = -g - 2*g + 4*f + 72. What is the remainder when 71 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -64*g**2 - 8*g + 7. Let r(w) = w**2 + 2. Let h(b) = -5*r(b) - z(b). What is the tens digit of h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - u - 3*n = -452, -u = n - 92. Suppose o - 82 = -3*o - 2*x, 4*o + 4*x = u. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5 = -3*c. Let k = c + 3. What is the third derivative of -6*m**2 - 4*m - m**4 + 2*m**2 + k*m wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -60.55609 to 2 dps.\nAnswer: -60.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 1189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 6*s. Let m be q(6). Suppose -4*b + m = -44. Calculate the greatest common factor of 180 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 2*n + 4. Let a be p(0). Solve -7*f + 3*f + 16 = -k, -a*k = 2*f - 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-5 - -13) - (10 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -31  (c) -3835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -6*o**2 - 5*o - 9. Let g be y(-9). Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3938162*u. Let w(o) = o. Determine g(w(f)).\nAnswer: 3938162*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -8*r. Let l(a) be the third derivative of -1\/12*a**4 + 0 + 0*a**3 + 0*a - a**2. Determine w(l(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42417306 by 1.\nAnswer: 42417306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6218239 and 6821.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -74 - -93 - (0 - -13). Solve 17 - 35 = j*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -2*f**2. Let n(i) = -1119*i**2. Calculate n(g(h)).\nAnswer: -4476*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -45*n - 3 + 93*n - 54*n + 6 + 4. Let c(j) = -j. Give 4*c(h) - s(h).\nAnswer: 2*h - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -13, 4, -0.1, 10, 3\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1*sqrt(112) + sqrt(112) - sqrt(7))*-5*-4.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1.14 + -0.63. Let q = -0.09 - h. Let b be 18\/(-3) + ((-5928)\/(-84))\/13. Put b, q, 3 in increasing order.\nAnswer: q, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251672463, -251672475, -251672499, -251672541, -251672607?\nAnswer: -251672703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 144, 146, 148, 150, 152?\n\"Answer: 2*r + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*w = -11, 0 = 3*k + 4*w - 1 + 18. Solve 2*i + 4*g = -2*i - 28, 0 = 2*i - g - k for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3084.428ml to litres.\nAnswer: 3.084428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*g = 1, -2*n + 3*g - 10 = 5*g. Let p = 4.1 + -0.1. What is the second biggest value in p, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 + 40. Suppose -2*g - 80 = -0*g. Let f = g + 70. Calculate the highest common factor of f and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 15579810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 2*c - 2. Let a be j(4). Let g be a\/2 - 46*4. Let p = g - -1807\/10. Do p and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the second derivative of d**5\/5 - 509*d**4 + 518162*d**3 - 263744458*d**2 + 188*d. Suppose y(m) = 0. Calculate m.\nAnswer: 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275) + 0 + (-3*sqrt(275))**2.\nAnswer: 5*sqrt(11) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -61\/47 + 101\/1128. Find the common denominator of 143\/30 and z.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*r**4 + 6*r**2 - r**3 - 10*r**2 - 3 - 1 - 22*r + 3*r**2 + 2 to the form c*r**2 + k*r**4 + p + j*r**3 + o*r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3, 12, 27, 48?\n\"Answer: 3*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -113\/286 and 67\/1547403.\nAnswer: 3094806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**3 + 79*i**2 - 43*i - 32. What is the smallest common multiple of 66 and o(-40)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*z - 5 = 29*z - 5*s, 4*s = 5*z + 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 times -0.7\nAnswer: 0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1485891259 to the nearest integer?\nAnswer: 38547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 0*i = -3*i + 3, 4*y - 4 = -4*i. Suppose -3*w - w + 192 = y. Suppose -110 = -49*k + w*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uus when three letters picked without replacement from ussiuuisuuubuusk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 4*b**3 - 3*b + 17. Let i(h) = 2*h**3 - h**2 - 2*h + 19. What is -2*f(q) + 3*i(q)?\nAnswer: -2*q**3 - 3*q**2 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2, -2\/5, -1\/6, 5\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 458809, 917315, 1375821?\nAnswer: 1834327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.08 + -3448.\nAnswer: -3447.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*a + 2507 - 2517 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 35, 53, 79, 113?\n\"Answer: 4*w**2 + 6*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(5) + (sqrt(5) - sqrt(135)\/sqrt(3)) + sqrt(5) + ((sqrt(240) + -3*sqrt(240))\/sqrt(12))\/sqrt(4).\nAnswer: -2*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4)\/3)\/((-6)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -65*o + 1502. Let c be t(23). Solve a = 169*p - 167*p + c, 0 = 4*p + 3*a + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*j**2 - 1054765*j - 632850.\nAnswer: -5*(j + 42190)*(5*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 + 35. Calculate the greatest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3, 1, -11, -39, -89?\n\"Answer: -f**3 + f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -244, -1442, -4524, -10432, -20108, -34494, -54532?\n\"Answer: -157*i**3 - 99*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -1162*b - 6965. Suppose -50 = -0*l - 2*l. Calculate the remainder when l is divided by j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1\/445 - -883\/3115. Let m be (4 - (-44)\/(-8))\/(-3). Put k, 2\/3, m in increasing order.\nAnswer: k, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 139 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 6:32 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventeen halves of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q. Let c(b) = 5*b - 8*b + 0*b. Determine c(n(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-970)\/5044)\/(5\/(-4)). Which is the nearest to m?  (a) -0.3  (b) -0.05  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -12*v + 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 108462734 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.8 - -5.8. Let z = u + -3. Which is the nearest to z?  (a) -0.1  (b) 3  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -4. Let w(x) = 5*x**2 - 5*x - 4. Let z(s) = -5*s**2 + 6*s + 5. Let d(l) = 6*w(l) + 5*z(l). Is d(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6 - -8. Calculate the remainder when 6 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 141, 57, -83, -279, -531, -839, -1203?\nAnswer: -1623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2563 and -964?\nAnswer: -2470732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1414\/14 - (0 - 2).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 divided by -7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -779, -783, -787, -791, -795?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 75*x**5 - 48*x**5 + 53*x**5 + (-3*x**3 - 2*x**3 + 3*x**3)*(-2*x + x**2 + 2*x) - 8*x + 5*x**5 + 8*x.\nAnswer: 83*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*w = 28*w + 4*h - 52, 2*h = 4*w + 28 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 5*t + 16, -2*r + 3*t = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (((-56)\/(-6))\/(2\/(-9)))\/1. Let l = u + 45. Solve 2*q + l = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 199 = 4*r, 0*r = -2*r - 2*a + 98. Let q = r + -13. Suppose -w - 2*w - 4*u + q = 0, -3*w - 3*u = -33. Solve -13 = -4*h + w for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14061321 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = -0*c. Find the third derivative of 0*z - 10*z**5 + c*z - 2*z**2 + 11*z**5 wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -20*b**3 + 4*b**2. Let x(o) = -10*o**3 + 2*o**2. What is -6*i(m) + 11*x(m)?\nAnswer: 10*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((5*(-1 + sqrt(1573)) - 3*-2*sqrt(1573)) + ((sqrt(1573) - -2*sqrt(1573)) + 3)*5)**2.\nAnswer: 5720*sqrt(13) + 1063447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 786 = 2*j, -4*j - 3*q - 512 = -2054. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.4 - 1.4. Is -3\/13 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of 0*h**3 + 1\/60*h**5 + 0 + 2*h**2 + 0*h + 0*h**4. Let m(p) be the second derivative of -p**3\/2 + p. Calculate u(m(f)).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -60224148 divided by 6?\nAnswer: -10037358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*h - h + h)*(3*h - 2*h**2 - 3*h).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 10*q - 6. Let w be y(8). Let z be (0 + w)\/(-2 - 0). Let m = -2 + z. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {f: 1, l: 1, b: 9, z: 6}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 x when three letters picked without replacement from {u: 1, x: 2, g: 3, a: 2, y: 12}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k**2 - 4. Suppose -1 - 2 = -b. List the prime factors of f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -482 divided by -10\nAnswer: 241\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 111*u + 80*u - 6494. What is the remainder when 1732 is divided by u?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 2*g**2 - 3*g - 5. Let b be c(-4). Let m = -55 + b. Is 12 a factor of (-94)\/(-4) + (-8)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (-9 + -11)) + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -6, 3*o = -4*i + 64 + 93. Solve 0 = 16*a - 11 - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, n: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - x - 5 = 0, -485 = -5*f + 2*x. Let r(c) = 14*c - 3*c + f*c**2 - 94*c**2 + 0 - 1. Determine r(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mpppssmmpsmm. What is prob of picking 2 m and 1 s?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 157, 341, 523, 703?\n\"Answer: -m**2 + 187*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8262 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*o = -18*o + 66*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of -d**5\/120 - d**4\/24 + d**3\/6 + 5*d**2. Let x(l) be the first derivative of u(l). Let n be x(6). Which is smaller: -6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is bb + 1a77?\nAnswer: 1b76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 3:39 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1088 + 21.\nAnswer: -1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 145, -2, 0, -4, 2, -9, 3.\nAnswer: -9, -4, -2, 0, 2, 3, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3385*t**5 + 3425*t**5 - 2*t**3 + 923*t + 2*t**3 + 15*t**4 - 6782*t**5 wrt t.\nAnswer: 560*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnnpcnccpnc. Give prob of sequence npc.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 g when three letters picked without replacement from {k: 2, z: 2, g: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 10:20 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -204 times 9484.92\nAnswer: -1934923.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 11. Suppose -15 = -p*i - 3. Solve -2*h + i = -2*v + h, -4*h - 19 = 5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12 + -12 + 2\/5. Which is bigger: f or -5.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 136 - 495*v**2 - 47 - 53 - 39 in the form p*v**2 + h*v + s and give p.\nAnswer: -495","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.867517379 to 2 decimal places.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o + 41. Let q be t(-16). Solve 3*n - 9 = -3*c, -n + 4*c = -2*n + q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18628056 divided by 6156.\nAnswer: 3026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -49*u**2. Suppose 0 = -11*b + 1024 + 1539. Let a(i) = 470*i - b*i - 236*i. What is a(v(q))?\nAnswer: -49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**2 - 2670 + 5352 - 2*u**3 - 2670 + 11*u to c*u**3 + k + l*u**2 + d*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 476 - 470. Calculate the least common multiple of 2 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6974248*j**2 - 7130990*j?\nAnswer: 13948496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 5*q = -267, u - 5*q = 14*u - 3*q - 313 - 149 for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 125 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 - 13*w**2 - 66*w + 857. Let m be v(13). Let s(b) = 8*b**3 + 2*b**2 + 5*b + 3. Calculate s(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10242679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**4 + 2499*j**3 - 412815*j**2 + 15651273*j.\nAnswer: 3*j*(j - 73)**2*(j + 979)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4605 + -48?\nAnswer: -4653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35903 + 52463. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -3*i - 8. Suppose 3*x + 0*x = -3*y + 111, -74 = -i*x - 3*y. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20242, 162071, 547052, 1296757, 2532758, 4376627?\nAnswer: 6949936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -3, -a - 231 = t - 5*t. Calculate the remainder when 55 is divided by (2\/(-6))\/((-1)\/t).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-28)\/(-8) - 28\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*y - 136 = 66*y. Is 3906\/y - 12\/(-102) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i - 16*i + 0*i + 11*i. Let f(u) = 0*u**2 + u**2 + u**2. Give h(f(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeem when four letters picked without replacement from {m: 11, e: 9}?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1231.\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 510 - 2914 = -2*l. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 47*b - 54*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -1. Let u(k) = 4 - 26*k - 20*k + 45*k. Determine -5*m(p) - u(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(-4)\/(-15)*51\/34?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4883 - -6243. What is the highest common factor of i and 1190?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -25, -45, -75, -121, -189, -285, -415, -585?\n\"Answer: -v**3 + v**2 - 16*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 - 40. Suppose -7 = -l*y - 4*y. Solve 0 = -a + y + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 - 7*s - 15. Determine t(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -107 take away -0.787323095?\nAnswer: -106.212676905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (((-1)\/(-1))\/(-1))\/(4\/(-228)). Let p = 27 - c. Let w = 40 + p. Calculate the greatest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find u such that -5*u**5\/3 + 1115*u**4\/3 + 5*u**3 - 3335*u**2\/3 - 2230*u\/3 = 0.\nAnswer: -1, 0, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dqaqddaaqqaq. What is prob of sequence ad?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -155.87 + 154. Let p = 402485330 + -402485331.87000081. Let g = x - p. Round g to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 264\/17  (b) -20  (c) 3\/2  (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (253\/(-153) - 16\/(-24)) + -8*(-8)\/64?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x\/(x*x\/(x**(-1\/8)\/x))))**(-13\/3) assuming x is positive.\nAnswer: x**(-221\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 15*p**2 + 371*p + 115. Determine m(-13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14700, 29777, 45274, 61227, 77672, 94645, 112182?\nAnswer: 130319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 149802995.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -367 or 2?\nAnswer: -367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -2746, -2, -160 in ascending order.\nAnswer: -2746, -160, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-8) + 36\/(-8). Let n = q - -25. Suppose 0 = c + 3*c - n. Solve -2*s + c - 1 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iyuuuiydtwdy. Give prob of picking 1 u and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o*o\/(o**14\/o)*o*o\/o**12*o assuming o is positive.\nAnswer: o**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1233, 8424, 27819, 65520, 127629, 220248, 349479?\n\"Answer: 1017*p**3 + 72*p + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 400*c + 1898. Give q(-5).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of 287*b**6\/3 - 35*b**2\/2 - 2*b + 434. Find the second derivative of y(m) wrt m.\nAnswer: 11480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/34260 and 68\/15?\nAnswer: 34260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 8:55 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j + j + 3*j**4 + (j + 3*j - 5*j)*(j**3 + 3*j - 3*j) + (-3*j**2 + 5*j**2 + 4*j**2)*(-j**2 + 3 - 3) + 5*j**3 + 3*j**4 - 5*j**3.\nAnswer: -j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 536735 (base 8) to base 2\nAnswer: 101011110111011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/7, -5, -107, 0.2, -4, -6.82, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 1. Suppose -y - 2 = 0, -g + 234 = g - 3*y. Calculate the remainder when g is divided by 8\/4*29\/f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -4*y - 1, 0*a + 1 = -a + 2*y. Let w(l) = -l**3 - 5*l**2 + 3*l + 1. Let d(b) = b**2 - b - 1. Determine a*w(f) - 3*d(f).\nAnswer: f**3 + 2*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + -3. Let x(c) = -c - 12. Let a = 396 + -395. Let k(t) = t - 2. Let g(z) = a*x(z) - 4*k(z). Let p(i) = -4*i - 3. Determine w*p(l) + 3*g(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2001002 (base 3) to base 4.\nAnswer: -113033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.23 - -0.11. Let y = -0.02 - t. Let u = -4.6 - -0.6. What is the smallest value in u, 0, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-8024)\/10)\/(12\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 0. Let n = -5 - -2. Which is the nearest to -2\/3?  (a) m  (b) n  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -11622*t**4 + 52*t**2 + 10140. Let w(o) = -4649*o**4 + 20*o**2 + 4056. Let y(k) = -5*l(k) + 13*w(k). Differentiate y(g) with respect to g.\nAnswer: -9308*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47292422213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j\/(j\/(j*j**8\/j))*j*j))\/j**(-14))**(-1\/5) assuming j is positive.\nAnswer: j**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 638515221 to the power of 1\/2, to the nearest integer?\nAnswer: 25269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 272bc?\nAnswer: -272bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 - 9*y - 9. Let h(x) = -2*x**2 + 4. Suppose -24 = -2*a - 20. Let n be h(a). Is v(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 4*(-15)\/10. Let i(q) = -2*q + 14. Let x be i(r). Is -2\/55 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5 - -21295)*(-132)\/(-18). Suppose 222*c + i = 220*c. Round c to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((((i\/i**(1\/2))\/i)\/i*i)\/i)\/(i\/(i*i**1*i)))**(-18\/13))**(8\/5))**(-6\/23) assuming i is positive.\nAnswer: i**(432\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 14, 63\/55, 0.1?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1.9  (b) 3  (c) 14  (d) -4  (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-6)*(16 - 25). What is the second derivative of 0 + 9 + t - 22*t**2 - r wrt t?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 16645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2\/5 + 170*z - 2568\/5 = 0. What is z?\nAnswer: -428, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u**2\/9 - 34424*u\/9 - 34412\/3 = 0. Calculate u.\nAnswer: -8603, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 7*l. Suppose l = u + 5*u - 108. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -1027450c?\nAnswer: 10274510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**2 - 5*b + 6. Suppose -2*x - k = -5, -6*x - 5*k + 1 = -2*x. Let r be v(x). Determine d so that d**4 + 5*d**3 + 9*d + 0*d - 2*d + r + 9*d**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - -1698?\nAnswer: 1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 7*w**2 - 1. Let p be h(-1). List the prime factors of 6\/(-9) + 16\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -159, -168, -181, -198?\n\"Answer: -2*f**2 - 3*f - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 167690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/25  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.18249 and 0.4.\nAnswer: 0.21751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 12485 minus 1619065?\nAnswer: -1606580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {f: 1, a: 3, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -0.1, 2.7, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-15)\/(-4))\/(9\/180). Let z = d + 318. Let j = -214 + z. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 298 = 2*s - 4*l, -l + 2*l - 767 = -5*s. What is s rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 46, -1, -3, 14.\nAnswer: -3, -1, 1, 14, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of (15 - 23)\/(1\/(-14)) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**16*j**(-1\/23))\/(j\/(j*j*j\/(j**1\/j)))**(35\/2) assuming j is positive.\nAnswer: j**(1172\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 340567270 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.7 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 632637605 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - -1. Let q be 0 - (0 + 0 - c). Is 11 + (3\/q)\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 - -11. Let t(p) = 4*p + 90. Let n be t(-21). Suppose -2*b = -2*x - 274, c*x = 2*x + n. Is 26 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/22610922 and -161\/397380.\nAnswer: 226109220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 248628, 497278, 745928, 994578, 1243228?\nAnswer: 1491878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 104 + -103. Let d be 1*(-1 - 3)*k\/(-2). Solve -2*z - 2 = d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -34241 + 3013315\/88. Find the common denominator of 13\/144 and q.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -138 + 47. Let r = 165 + b. Let s = -74.000000376 + r. What is s rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*5*(-48)\/(-15). Let b = q + -57. Let g = -122\/3 - b. Put -1, -4, g in descending order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 591175000 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-9540)\/53530*(-4)\/(-36)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 922297 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -303 - -132. Let i be 3\/12 + u\/(-36). Suppose -4*v = 2*w - 24, i*w - 45 = -4*v - v. Solve 3*r - w = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(2\/5))**(-35)\/(l**(-6\/11)*l**5\/l) assuming l is positive.\nAnswer: l**(-269\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54720 and 12160.\nAnswer: 109440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 7 - 5 = 4*v, -2*u + 15 = -5*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 986 - 986. Do 6\/185 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 339923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/1)\/(-2) + 1. Suppose 2*u + 11462 = 4*u - v*p, -5723 = -u + 5*p. Let h = -45791\/8 + u. Find the common denominator of 15\/11 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26678953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1396, -1394, -1392, -1390, -1388, -1386?\n\"Answer: 2*c - 1398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 4) to base 6.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 4*j. Suppose -6*n = -46 + 34. Let h(x) = 3*x - 1. Let k be h(1). Let o(p) = -p**2 - 2*p**k + p**n. Determine o(c(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 1618800 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -y**3 + y**2 + 2*y + 1. Let m(o) = 5*o**3 - 49*o**2 - 8*o - 4. What is -m(t) - 4*p(t)?\nAnswer: -t**3 + 45*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 11801260?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 7 = 0, -a + 36 = 5*i + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**5*s**(-1\/11)*s*s**(-1\/11)\/(s\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(243\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 516 - 61. Suppose -275*o = -270*o - l. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*r = -48*r - 6*r - 5*a + 21, 2*r - 1 = 5*a + 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-7)*y)\/y*y)**(2\/25)\/(y\/(y\/y**3))**(-26) assuming y is positive.\nAnswer: y**(1938\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/(s**(-1\/6)\/s)*s)**34 assuming s is positive.\nAnswer: s**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**3 + 4*i**2 - 3*i. Let s be z(-4). Suppose -v + s = 4. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes after 3:01 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000006442 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rfvfss. Give prob of picking 1 v and 1 s.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*g - 6*g - 2*g)*((2 + 1 - 1)*(7 - 1 - 2) + 0 + 0 + 1 + 5 - 3 - 1 + (-2 - 4 + 4)*(0 + 0 + 1)) to p + f*g and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87659262 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (-2*sqrt(275))**2 + sqrt(88)\/sqrt(32) + (sqrt(33)\/(sqrt(192)*-1 + sqrt(192) + sqrt(192)))**2.\nAnswer: sqrt(11)\/2 + 70219\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 354 and 186381?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 670 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 7*c**2 + 794*c + 339. Give d(-113).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 42542915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -63747 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/494  (b) -4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 3*t**2 + t. Let c be d(-1). Let j = -1 - c. List the prime factors of ((-1)\/(-4))\/(j\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 139 + 19. Let l = 32 + x. Suppose -g - 3*w + 0*w = -38, 5*w = -4*g + 152. What is the highest common factor of l and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5361 + 7743. What are the prime factors of f?\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -1. Let u be (1\/15*-3)\/(18\/30). What is the closest to u in -0.9, h, 5?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 10, o: 2}. Give prob of sequence ohh.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11 + 1180126?\nAnswer: 1180137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 4*r - 168, 3*r - 2*m - m - 126 = 0. Calculate the highest common factor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m, 1 r, and 1 a when four letters picked without replacement from {u: 6, m: 3, j: 1, r: 1, a: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 2*j**3 - 3*j - j**3 + 2*j + 2*j**2. Let p be c(-4). Round p to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in -2\/7, -0.5, -1\/4, 1, 0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 91, 82, 73?\n\"Answer: -9*n + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5955 = 606*l - 16353 - 13446 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -217 + 13 + 24\/(-6). Let m be k\/65 - 24\/30. Let o(v) = -2*v - 9. What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(200))**2*-5.\nAnswer: -36000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -n**5\/30 + 27*n**2. Let d(m) = 38*m**2. Calculate z(d(u)).\nAnswer: -2888*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*j**6 - j**4 + 2*j**2 + 11 wrt j.\nAnswer: -2400*j**3 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, d: 2, g: 2, y: 1, f: 1, n: 2}. Give prob of sequence pgy.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 45874.701 rounded to the nearest 10?\nAnswer: 45870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.6 - 2.6. What is the closest to -0.1 in 0.4, -4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 15 = -5*v, 3*v - 8*v = -2*n + 10. Solve -n*b = -2*z - 0 + 13, -z - b = -3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {k: 2, a: 1, g: 1, u: 1, z: 1, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 47*k - 25. What is j(-3)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -167.1 - -158.1. What is the nearest to 0.7 in o, -3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = 2*t - 10. Solve 13 = -2*f + 5*b - 22, -t = -3*f - 4*b for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (20\/6)\/((-4)\/96). Let d be j\/(-50) - 4\/(-10). Suppose -4*b - p + 47 = -b, d*p = -b + 14. Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 148, 669, 1538, 2755?\n\"Answer: 174*h**2 - h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 6.956323 decades?\nAnswer: 0.6956323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in -45, -0.4, -5, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -410 - -413. Let z(w) = -2*w**3 + 5*w**2 + 6*w + 3. Let y be z(c). Let l be (-51)\/(-9) + (-1)\/(-3). What is the highest common divisor of l and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.708 - -0.68. Let i = 1.262 - r. Let x = 1.290065 - i. Round x to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*x = -23*x - 3738. Let c = x - 617. Solve -t - 3 = -m, 21 = c*m - m + t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 12*l**2 - 846362*l + 1692718. Determine j(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mqq when three letters picked without replacement from {o: 10, m: 1, q: 3, j: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, g: 1, r: 11, x: 2}. Give prob of picking 1 z, 2 x, and 1 r.\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 10258, 20335, 30410, 40483, 50554?\n\"Answer: -u**2 + 10080*u + 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b*(b\/((b\/b**21)\/b))\/b*b\/(b\/(b\/b**17))*b**(-20)*b**(-22\/9)*b assuming b is positive.\nAnswer: b**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 33\/(4 + (-19 - -22)). Which is the closest to -0.5?  (a) f  (b) 0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 2*b + 2*b)*(-1 + 2 + 0)*(-6 + 1 - 5).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*a**3 + 12*a**3 + 10*a**3 - 39*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 777 is divided by 370.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170) - (sqrt(170)*1*6 - sqrt(170)))*1*4)\/((sqrt(80) - sqrt(80)*-2*2)\/(sqrt(200)*-1)).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2, -10, -22, -38, -58?\n\"Answer: -2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 32760 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/(-12))\/(435\/(-928)*-4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2. Let l(a) be the first derivative of 21 + 2*a + 11\/2*a**2. Give l(z(f)).\nAnswer: 11*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + -4 + sqrt(200).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9?  (a) 2\/9  (b) -4  (c) -2\/7  (d) -190  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (0 - -13) + (3 - (11 - 16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*s - 5*b, 40 = 4*s - 0*s + 3*b. Let c = -8 + s. Suppose c*q = -q + 39000. What is q rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = 12, 5*n + 9 = 4*m + 70. Suppose -q + 23 = -n. Suppose f = -2*i + q, -3*i - 2*f = -3*f - 48. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1306*r**5 - 1727*r**2 wrt r.\nAnswer: 78360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of f**5\/20 - 5*f**4\/12 + f**3\/2 + 7*f**2\/2 - 2*f - 1. Let s be g(4). Put 1, s, 4, 2 in decreasing order.\nAnswer: 4, s, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9099\/4 + 2274. Put 5, 3, j in descending order.\nAnswer: 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -7*h**2 + 85 + h**3 - 9*h - 83 + 0*h**3. Let f be m(8). Let y(o) = -o - 7. Calculate y(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 597002.44 + -644155. Let j = g + 47153.0599993. Let h = j + -0.5. Round h to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 10 - 10. Suppose h*s - 5*c = 31, 2*c = -4*s - c + 7. What is z in 25*z**5 + 12*z**3 - 16*z**s + 7*z**2 + 9*z**2 - 2*z + 7*z**5 - 42*z**3 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15250 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 685 minutes before 10:42 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*s - s - 88 = 2. Let l be (-3)\/(-3) - 1\/(-1). Suppose -n = -4 + l. Calculate the remainder when s is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -72 - -91. Suppose -9*i + 17 = -z. Solve -j + 3 = i*b, 3 - 1 = -4*j - 2*b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(2\/13)\/z**3)**(-50)\/(z**(-13)*z**(4\/3))**(-1\/2) assuming z is positive.\nAnswer: z**(10645\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:59 PM and 9:15 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5114 or 60307?\nAnswer: 60307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -9*r + 4. Let t(b) = 46*b - 21. Determine 11*c(h) + 2*t(h).\nAnswer: -7*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -3473110.\nAnswer: 3\/3473110","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.12  (c) 4  (d) -0.069  (e) -5  (f) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.41 from -1233456081171.\nAnswer: -1233456081169.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -246?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108637, 108815, 109051, 109351, 109721, 110167, 110695, 111311?\nAnswer: 112021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 396*((-5)\/(-2) + -5)\/((-30)\/66)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*q, 0*a + 2*q = -a + 1. Suppose a*h - 61 = -1. What is the smallest common multiple of h and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1951670?\nAnswer: 2, 5, 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -50 (base 10) to base 8.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 4*j + 40. Let k be r(-9). Let m(i) be the first derivative of -1 + 1\/4*i**k - 1\/5*i**5 + i + 7\/4*i**2 + 4\/3*i**3 - 1\/12*i**6. Factor m(g).\nAnswer: -(g - 2)*(g + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-188)\/(-412 + 224) + -67 + 0\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2147274 and 1278?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that 2*n**2 - 8*n - 42 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 38*p - 2144. What is x(60)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a (base 13) in base 7?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 4*z + 7. Suppose 0 = d - 3*t - z, -d + 4*t = 4*d - 113. What is the least common multiple of 1\/5 - (-595)\/d and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 322 * -19873.9.\nAnswer: -6399395.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 104 = 5*u + 8*c - 12*c, -2*c + 38 = 2*u. Find the common denominator of ((-5304)\/2380)\/(54\/u) and -40\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -38216b (base 13) to base 5.\nAnswer: -321101034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 6)*((-1 - p + 1)*(4 - 3 - 2) + 4*p - p - p) + p - 3*p + 5*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -11.97 - -12. Let d = 0.09 - u. Which is the third biggest value?  (a) -2  (b) d  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 2 = -3*q. Suppose -2*p = -o - 18 - 8, 4*p - 80 = -5*o. Let n be 5\/p + (-1)\/3. Solve 3*c = s - 7, s - 4 = -n*s + q*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1530)\/(-680))\/(7128\/384)\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 13180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5440 and 1413040.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**0)**(-2\/7)\/(j**(-6)*j*j*j\/(j*(j*j**7)\/j)))**(-46) assuming j is positive.\nAnswer: j**(-506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 - (16 - 22 - 109)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 divided by -43?\nAnswer: 70\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 2*r - 4 = 0. Suppose -s = r*b, -2*b = 4*s - 6 - 12. Let q be (s\/15)\/((-2)\/(-100)). Solve 0*j + q = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-122)\/793 + (-257632)\/13. Let a(r) = -136*r**3 + r**2 + 2. Let m be a(2). Let h = m + w. Round h to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 378234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of w**5\/10 - w**4\/6 - 2*w**3 - 57*w. Let k(b) = 0. Calculate b.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -5, -1.51658, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 - 9176928*m + 21054001879296.\nAnswer: (m - 4588464)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1695 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4aa885 - -a?\nAnswer: 4aa893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v**3\/11 + 18*v**2\/11 - 16*v\/11 = 0 for v.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 66\/(-54)*210\/(-385)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 2*v + 16, -14 = -267*c + 263*c - v. Solve -5*x + 3*o + c = -0*x, -x = 5*o - 12 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (5 - 15) - (-4 + 12 - -3).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 7:57 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -669 divided by -885?\nAnswer: 223\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vussssv. Give prob of picking 2 v and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/3)\/4*3. Let f = v + 32. Calculate the remainder when f is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 11) to base 14\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10\/3 + -11\/3. Let t = -1.51663 - -1.51663. Which is the nearest to 0?  (a) t  (b) -106  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*j + j - 2*u - 4, j + 8 = -4*u. Let k = -1\/2 + j. Which is the smallest value?  (a) 1\/3  (b) 2\/3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.073 - -0.073. Suppose -s = -w + 4, 4*s + 4*w - 10 + 2 = 0. Let u be -3 - 50\/18*s. Is u equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9876610 and 87478?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 9*u + 22. Let l(t) = 155*t + 375. Give 35*g(h) - 2*l(h).\nAnswer: 5*h + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.05992 - -0.44124. Round h to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1587 + -1586.6. What is the third smallest value in y, 7, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/7)\/h)\/h**(-1\/17)*(h\/(h*h**(-2)*h*h))**(-5\/19))**(2\/87) assuming h is positive.\nAnswer: h**(-190\/10353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 4. Let h = 346.404 - -0.596. Let k = -347.4 + h. Which is the smallest value?  (a) p  (b) 0.4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 - -1)*(-5)\/(-15). Suppose p = -5*q + 15. What is the third derivative of 7*y**q - y**2 + 4*y**2 - 3*y**3 - 7*y**2 wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*b - 4*b + 28. Let v(u) = -u**2 + 0*u + 6*u - b - 3*u. Determine v(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9712\/45 + 1078\/5. What is the nearest to 12 in 0, 3.8, l?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -36, -4, -1\/3, -5, -2\/5, -6\/49, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f = 43 - 51 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 6:31 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 - -96 - ((-6 - -3) + 4) - -42.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(420)\/(-6*(sqrt(40) - sqrt(10))))\/((sqrt(60) + (sqrt(60) - (-3*sqrt(240)\/sqrt(4) + sqrt(60)) - sqrt(60)))\/sqrt(10)).\nAnswer: -2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c. Let i(q) = 316*q + 728. What is i(l(f))?\nAnswer: 632*f + 728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 29*l + 1170054 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/16)\/(2\/8). Let q(d) = 0 - 9 - 1 + s*d. Is q(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 + 7. Let p(b) = 3*b**2 + b - 15. Let t(q) = -4*p(q) - 9*s(q). Let i be ((-30)\/(-6) - 310\/50)*(-10)\/(-6). What is t(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 24 - 26. Let k(l) = l + 17 + 8*l**2 - 15 - l. Let p be k(i). Calculate the greatest common divisor of p and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3597, 14337, 32217, 57243, 89421?\nAnswer: 128757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-768)\/(-144)*(-42)\/(-8)*2\/(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 119307036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 4*i + 16 = 0, x + 5*i = 4*x - 7. Suppose -3*c + s = 2*s - 7, 0 = 3*c + 3*s - 3. Suppose x*q = c + 29. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a131 (base 16) in base 11?\nAnswer: -152799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h**2 - 4*h + 5. What is the units digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -16*w**3 + w + 12. Let k(y) = -7*y**3 + 6. Let b(h) = -13*k(h) + 6*q(h). Let a(x) = 11*x**3 - 11*x + 11. Give 6*a(t) + 11*b(t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 + -71. Let p = -19 - y. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11625)\/(-20) - (-1)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*z = 4*t + 3*z + 4, 31*t - 36*t - 5 = 3*z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 132 = -y - 3*a, 0 = y + 3*a - 24. Let l be ((-5)\/(-2) + 0)\/(y\/72). Solve 2 - 17 = -l*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3091856705 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 5:10 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t = 5*z - 14, -3*z = 2*t - 5*z + 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-29)\/2*(-1204)\/(-1204)?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/2 + 5210*x + 393072.\nAnswer: (x + 76)*(x + 10344)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -10*((-90)\/2025)\/(12\/(-27))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that -5*y**2 - 64240*y - 206338880 = 0.\nAnswer: -6424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38710 and 93220.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1366*c + 70 = 1356*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 6, q: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 18 - 22 = 0. Solve h + v = -1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -40 - -137. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 2610*p. Let d(t) = -10*t**2. Calculate d(j(o)).\nAnswer: -68121000*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 558958 divided by -558958.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -2. Let n be ((-22)\/14 - -2)\/(-1). Let x = -101 + 98. What is the third biggest value in n, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 41 = 9*k - 5*k, 7 = -3*r + 2*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-91)\/14 + (-3)\/6. Let o(w) be the first derivative of 2*w**3\/3 - 7*w**2\/2 - 4*w - 2. What is the tens digit of o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4*(-322 - -324))\/(-25)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 70  (b) 3  (c) -0.5  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-3)\/3)\/(1\/(-37)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -201*d**2*n**4 + 790*d**2*n**2 - 2*d*n**6 wrt n.\nAnswer: -4824*d**2*n - 240*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 29, 33, 39, 47, 57, 69, 83?\n\"Answer: t**2 + t + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*d + 48 = -4*d. Let j(n) = -d*n + n + 2 - 19 - 8*n. Let r(l) be the first derivative of 5*l**2\/2 + 8*l + 1. Determine 6*j(q) + 13*r(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*(3\/(-12) + (-154)\/(-8)). Suppose -s*r + 35670 = 10*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 144187, 288376, 432565?\n\"Answer: 144189*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-18)\/(-4))\/(10\/1340)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -13, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1067 a factor of 66996930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 + -53. Let b be (-10)\/3*36\/l. Suppose -4*w - 51 = -2*z + w, 5*z = -b*w + 45. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 410 a factor of 2126670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*h - 3373 = -3061 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 744 divide 46282999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -40900 + 4*q**2 + 40900 - 112*q. Let a(d) = -d**2 + 28*d. What is 9*a(h) + 2*r(h)?\nAnswer: -h**2 + 28*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n**3 - 5*n**2 + 2*n + 8. Let g(x) = x**3 - 2*x**2 + x + 4. Let u(i) = -4*b(i) + 7*g(i). Determine u(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-11736)\/(-48)*((-4)\/3 - -2). Suppose 0 = 12*o - r + 19. Solve -11*h = -14*h + o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = -109 - 20. Let g be 2\/(-1) - s - 3. Let x = g - 11. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f and 1 u when three letters picked without replacement from ffffufffuffufff?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 496 = -24. Calculate the remainder when r is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 8*y**2 - y - 5. Let i be r(-8). Put -2, 0, i in descending order.\nAnswer: i, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 24\/(-4) - 1568\/7. Let l = -71 - g. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -4*x - 3. Suppose 17 - 23 = 2*a. Let f(b) = 2*b + 2. Determine a*j(v) - 5*f(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -11*l**2 + 23*l + 8. Suppose 2*v + 6 = 22. Let c(n) = -7*n**2 + 15*n + 5. Let r(h) = v*c(h) - 5*z(h). Let t be (-114)\/(-27) - 2\/9. Calculate r(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*v + 190 + 142*v**3 - 142*v**3 + 19*v**4 + 11*v**2 - 190 in the form m*v**4 + z*v + s*v**3 + b*v**2 + q and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -214*g + 429*g + 14 - 213*g as v*g + q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xbx when three letters picked without replacement from {x: 5, m: 12, b: 1}.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -29, 32, -1809, -1, 5 in decreasing order.\nAnswer: 32, 5, -1, -29, -1809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 3056, 3057, 3058, 3059, 3060, 3061?\n\"Answer: h + 3055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1\/19, -458 in decreasing order.\nAnswer: 2, 1\/19, -458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 160\/(-52))\/(162401\/42406 - (-3)\/(-14))\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 60*i**2 - 159*i - 102.\nAnswer: -3*(i + 1)*(i + 2)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-232)\/(-261))\/((-1)\/3*-2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12640913.\nAnswer: 2801, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -640000 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 156819 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-237)\/((-266625)\/600) + 4\/30?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.045 + -0.172. Let b = w - -0.12699764. What is b rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6062 smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 20 = 4*f. Let b = -3 + 3. Let c be 38 + (-1 - b\/1). Solve n + 1 = 2*a, 0 = f*n + 3*a + a - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0124307799 to five dps.\nAnswer: 0.01243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve i - 4121 = -4118 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.07 - -4.07. Which is the closest to -1?  (a) -4\/3  (b) -0.05  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ccg when three letters picked without replacement from tlcgc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1047490752?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000001110110000110 - -1101001?\nAnswer: 1000001110111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15803 divided by 71.\nAnswer: 15803\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + -20 - (-2 - -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -283581, -283816, -284049, -284280, -284509?\n\"Answer: c**2 - 238*c - 283344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-1)\/9)\/(22\/66)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from peeeeeeepeepee. Give prob of sequence pee.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are -496 and -497 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 49*t + 35. Let z(w) = -25*w - 18. Let l(x) = 2*n(x) + 5*z(x). Find the first derivative of l(r) wrt r.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**3\/3 + 3*r**2\/2 - 32*r - 1. Suppose 2*g + c = -c + 4, 0 = 3*g - 3*c - 12. Determine s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*k**2 + 154508 - 51506 - 51503 - 51499.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 237.8?\nAnswer: 23.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -4*f**2 - 5*f + 5. Let u(p) = -p**2 + 1. Let i(b) = -10*b**2 - 6*b + 11. Let s(x) = -i(x) + 5*u(x). What is -5*s(g) - 6*t(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2960.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-62)\/7 - -4.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -246507 + 514?\nAnswer: -245883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 6*t - 2*t - 26 - 26, 34*j - 167 = -2*t - 465 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -7*o**2 - 2\/3*o**3 - 1\/30*o**6 + 0 + 1\/6*o**4 + 0*o + 1\/15*o**5. Determine i so that y(i) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -7*j**3 + 3*j**2 + 4*j - 7. Let g be 1040\/(-70) + 2\/(-14). Let y = 8 + g. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*a + 11586 = 18*a. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 2, h: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 287739757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 389*b*t - 634*t wrt b?\nAnswer: 389*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 113 + -104. Solve z*k - 7*k - 4 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of 77*m**6\/15 - 68*m**3\/3 + 4*m - 2. Find the second derivative of v(r) wrt r.\nAnswer: 1848*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 9*z + 2*z**3 + 8*z**2 - 2*z**3 - 6. Is 22 a factor of u(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-4)\/(-6) - (-8)\/6. Suppose -3 = -j*t + 5. Suppose t*q - q = -2040. Round q to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3442 + -28?\nAnswer: 3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 - u - 5. Let w be 1\/(27\/(-9) - -4)*(2 - 0). Let k(c) = -2*c**2 + c + 6. Give w*k(r) + 3*v(r).\nAnswer: -r**2 - r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-69)\/414 - (-21)\/84?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55*d**4 - 2*d + 39?\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 6*l - 2*l. Suppose -1 - l = -5*c + y, -2*c + 2*y = -12. Sort -3, 3, c in descending order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-1))**(-18)\/(a**(1\/4)*a*a**(-4)\/a) assuming a is positive.\nAnswer: a**(87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 2*j - 2 = 0, -4*m + m + 4*j = -6. Put -3\/8, m, -2, 1\/5 in descending order.\nAnswer: m, 1\/5, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13, -3\/4, -1\/8, 170, 2\/17?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -132943133?\nAnswer: -132943137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 240556 + 3.6\nAnswer: 240559.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (6 - (14 - 2)) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 18 = -5*y, -y - 15 = -5*z + z. Let g = 23 - 18. Suppose 11 = -g*l + 66. Solve -z*w + l = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 3*h - 18 = -4*p, 0 = -3*p + h + 13. Let f be p*(-2 - 4 - -5). Let x(j) = j**2 - 2*j - 2. Let o(l) = 6*l**2 - 11*l - 11. Calculate f*o(c) + 22*x(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9 - (-1 + 1 + -2). Let j(q) = -7*q**2 - 4*q - 4. Let t(i) = 20*i**2 + 11*i + 11. Let w be 10\/4*56\/35. What is k*j(o) + w*t(o)?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lmxhgxxxxgxlmmxxgxh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + 2 + 0 = -s, 5*s = -15 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2342833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199*q**2*w**5 - 70*q**2*w**3 - 64939*q**2*w**2 wrt w.\nAnswer: 11940*q**2*w**2 - 420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ptvttvvvvvt. Give prob of picking 1 p, 1 t, and 2 v.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 81 - 79. Let p(c) = -5*c + 5*c - 88*c**2 - 34*c**n. Let m(k) = 2*k**2. Give m(p(y)).\nAnswer: 29768*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 58\/15, -2\/7, -1\/52.\nAnswer: -3\/8, -2\/7, -1\/52, 58\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 3*w**2 - 208*w + 16. What is v(68)?\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 2\/151154003 and -25\/254254.\nAnswer: 302308006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2066861 and -0.5.\nAnswer: -1033430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 10405*r - 1102908. What is c(106)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -21, -6, 1, 5 in increasing order.\nAnswer: -21, -6, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -368 times 1727.9\nAnswer: -635867.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 52 and 7656454?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 8:24 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 8 - -5) + 0 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6308 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(-1 + 1 + 1). Suppose g + 15 = -w*g. Let s(n) = -2*n + 8. Is s(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -21*p. Let r be c(-1). Let a be r + 3\/(12\/8). Suppose -a = v - 0*v + 5*u, 5*v + 5*u + 15 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 774081101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 35\/2 - (12\/(-8) - -3). Suppose -3*w - 2*z = -5*w, w = -3*z + k. What is the hundreds digit of -3*1\/w*(-456)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79114?\nAnswer: 2, 7, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - 2, 247 = -5*x - 4*u - 97. Let k = -24 - x. Suppose -7*i - 9 + k = 0. Solve -i = -3*a + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -7*q + 6. Calculate the smallest common multiple of 15 and z(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.006658043 to five decimal places.\nAnswer: -0.00666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o - 5*o + 8*o - 38*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the second derivative of 2 + 0*w**3 + 7\/2*w**5 + 50*w + 0*w**2 + 3\/4*w**4. Find the third derivative of v(s) wrt s.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 175.69096 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**2. Let o(b) be the third derivative of -b**7\/315 - 7*b**5\/30 + 22*b**2. Let r(f) be the third derivative of o(f). Give p(r(y)).\nAnswer: 512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(1\/3)\/q*q)\/q)\/q**(2\/19)*q**(-8)*q**(4\/9)*q assuming q is positive.\nAnswer: q**(-1082\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (495\/(-660))\/(3\/680)*(-8)\/(-16)\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 482 divide 47292711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from jejzpjjjjjmjppjej.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1318 - 1312. Solve -56*p + 59*p - i = 3*q, -3*p = -9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 2166.546?\nAnswer: 8666.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*c + 2*c = 64*c + 1206 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 67158168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1713\/7 + -245. Let h = 21 - 5. Let o be 4 - 2 - h\/6. Which is the nearest to 0?  (a) 3\/4  (b) v  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -706 + 733. Let b = 6 + 8. Calculate the remainder when k is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79 divided by 1762?\nAnswer: 79\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the third derivative of 0*r**7 + 0 + 0*r + 0*r**3 - 17\/336*r**8 + 0*r**6 - 2\/3*r**4 + 0*r**5 - 16*r**2. What is the second derivative of m(o) wrt o?\nAnswer: -340*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 522183.\nAnswer: 3, 174061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -10101011111001010 (base 2) to base 15\nAnswer: -1b125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2821*o + 70 = -2831*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6994.8948 to zero decimal places.\nAnswer: 6995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 + 18*x - 22. Give j(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.38 and 3844.899.\nAnswer: 1461.06162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -123*m - 439. Let b(j) = 81*j + 292. Let u be (8\/48*-4)\/((-4)\/(-30)). Let n(f) = u*q(f) - 7*b(f). Differentiate n(s) wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvcccckvxmm. Give prob of sequence ck.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1276794 and 2628.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 9. Let x be (-26)\/10 + (4 - i). Let c = -129\/2 - -1423\/22. What is the closest to 0.1 in x, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of -a**6\/15 - a**5\/2 - 3*a**4\/2 - 7*a**3\/3 - 2*a**2 - 2*a. Factor j(k).\nAnswer: -2*(k + 1)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -11 + 1*5)\/((-210)\/2100).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -102098064*y**4 - 19276*y**2 + 4*y + 4?\nAnswer: -2450353536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (-17 + 1 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, n: 3}. Give prob of sequence qnn.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 213 + -211. Suppose 4*q - 10 = -2*c, 2*c - j*q - 28 = 3*q. Calculate the remainder when 26 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 3*n**2 + 2*n + 1. What is k(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**2 + w + 3. Let i be m(0). Suppose -i*j + 7 = -5. What is the remainder when j is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9529 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Are 36 and -47\/32 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 0.2, 0.1, -4\/9, -9 in descending order.\nAnswer: 13, 0.2, 0.1, -4\/9, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.63 + 0.03. Let u = -0.6000057 - n. Round u to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35053 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 0*t + 4. Let n(z) be the third derivative of 19 - 2*z**2 - 1\/24*z**4 + 0*z + 0*z**3. Give n(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -5  (b) -1.4  (c) 44  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -172326919+-4\nAnswer: -172326923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 4*h - 10 + 52 = 0, 127 = 2*o + 3*h + 38 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89846187?\nAnswer: 3, 47, 113, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wpwwptwtwvvtdtwpt. What is prob of sequence dtv?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 72 + -60 + 106\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 287463 and 2.\nAnswer: 287465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.9 - -0.1. Let h = -0.06 + -0.34. Which is the nearest to -2?  (a) 0  (b) h  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(153)*-2*-4)**2 - sqrt(153)) + (sqrt(153) - (sqrt(153) + -1))**2*6 - (((-1 + sqrt(153))*2 + sqrt(153) + -1 + sqrt(153) + 3)*4)**2) + -4.\nAnswer: -29376 - 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 293 + -6. What are the prime factors of p?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31\/13 or 1?\nAnswer: 31\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-12)\/((-72)\/6) + 6690?\nAnswer: 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.048 * 0.05\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) + 1*sqrt(252) + sqrt(252) - sqrt(252))\/sqrt(9) + sqrt(63)\/((-2*sqrt(9) - sqrt(9) - sqrt(9))*-2))**2.\nAnswer: 7623\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h**(1\/2))**(-1\/5)\/(h**(-1))**(-2\/41)*(h**0)**(1\/13)*(h**(2\/7))**(-16) assuming h is positive.\nAnswer: h**(-14121\/2870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 28\/308 - (-177156)\/2772?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 877, 3106, 6841, 12076, 18805?\nAnswer: 27022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40694892.\nAnswer: 2, 3, 7, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (2 + -9) - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -168380*t - 1054041 wrt t?\nAnswer: -168380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (1*4)\/(5742\/1595)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 746 + -649. Calculate the remainder when 418 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 - (-10 - ((-4 - (3 - -9)) + 14))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 394*g + 7369 = 127*g - 8651 for g.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 3)*(-3*r + 2*r + 0*r) - 676*r + 353*r - 496*r - 253*r to k*r + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of 32*h**6\/15 - h**4\/6 + 131*h**3\/3 + 77*h. What is the second derivative of d(y) wrt y?\nAnswer: 768*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 207.5 and 1.50953.\nAnswer: 313.227475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -28934*s - 958. What is the least common multiple of 22 and t(-3)?\nAnswer: 85844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8950592\/4972 - (39\/33 + -1). Let q = 1800 - g. Is 1 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n. Let t(p) = -59780*p. Give f(t(j)).\nAnswer: -239120*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of 1\/105*j**7 + 0 + 0*j**6 + 0*j + 1\/15*j**5 + 0*j**3 + 5*j**2 + 0*j**4. What is the third derivative of u(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 0*m**4 + 3\/20*m**5 + 0 + 0*m**2 + 3*m - 1\/2*m**3. What is h in b(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 113 + -113.618. Let o = j - 0.002. Let g = o + 0.32. Which is the smallest value?  (a) g  (b) 2  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1718539 is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 - -1. Let c = a - -0.0000014. What is c rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, 1, 62, -1?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2. Let p = -11 + 5. Let q(o) = o. Let g(n) = -8*n. Let x be 2*(-2)\/(-8)*-2. Let m(r) = p*q(r) + x*g(r). Determine s(m(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161*f - 174*f = 130. Let d(w) = -w - 20. Calculate d(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.7 - -3.3. Let h = 31 - i. Let b = h + -20. Put b, -5, 16 in increasing order.\nAnswer: -5, b, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(132)*1*4)\/(sqrt(12)\/sqrt(2)*-6))\/((sqrt(6)\/(2*sqrt(3)) + (sqrt(288) + sqrt(288)*-1 - sqrt(288)))*3))**2.\nAnswer: 176\/42849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.29 times -0.67848\nAnswer: 0.1967592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3987 + 785. Does 81 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 2:23 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = -5*r, -3*r = 2*k + 15 - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -115804*y + 115805*y + 1 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 5*v - 13. Let n be m(3). Let c be ((-2)\/n)\/(1\/(-5)). Suppose -c*j = -171 - 294. List the prime factors of j.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 + 2)\/(9 + (-184)\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5640810*u**3 - 3958906*u**2 wrt u?\nAnswer: -33844860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 285*y = -8984 - 3717 - 409 for y.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294 is divided by 153.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 53.5 + -47. Let l = -10 + i. Let v = l - -3.37. Which is bigger: -1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16887 - -b?\nAnswer: 16894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 = -2474*f + 2464*f. Calculate the lowest common multiple of 66 and f.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, 2276, -2\/11, -3, -0.21, 12?\nAnswer: 2276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 6, 4, 3\/5, -2, -5, -11194 in descending order.\nAnswer: 6, 4, 3\/5, 0, -2, -5, -11194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 5*l + 16516349475 = 0, -3*w + 10*l + 9909809697 = 9*l. Let v be w\/(-153) + (8\/(-6))\/2. Round v to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -499 and -497 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52024 by 26012.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 344661 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: Solve 0 = -1765*w + 1686*w - 948 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 113 - 93.6. Let n = 19 - y. Which is the second biggest value?  (a) n  (b) -1\/9  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 431 + 438 - 209 - 2*x.\nAnswer: -2*x + 660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l**3 - l**2 - 28*l - 17. Determine u(-4).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 18675181 to the power of 1\/3, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4645 and 401065?\nAnswer: 372589385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -14. Let a = -3 + p. Is 2 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**3\/3 + 22*c**2 - 242*c + 2662\/3 = 0 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 3 n when four letters picked without replacement from bbynnytnbnnynnynyn.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 250 divided by 126032\nAnswer: 125\/63016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.07 - -0.17. Let k = 0.3 - u. Round k to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.7, -33, -2\/11, 1\/6?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 70900984199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 45 divide 75700575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5057493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*b**4 - 2102787*b**3 + 215307*b**2 - 5*b.\nAnswer: -48*b - 12616722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + q = -1. Calculate the greatest common factor of 7 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 11*g. Suppose -h - 3*d - 10 = -32, 2*h = 4*d + 4. Is z(h) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1068, 1034, 950, 816, 632, 398, 114?\n\"Answer: -25*x**2 + 41*x + 1052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6837?\nAnswer: 3, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**9\/21 + 31*t**5\/60 + 14*t**2 + 11. Let l(g) be the second derivative of c(g). Find the third derivative of l(i) wrt i.\nAnswer: -2880*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*m**3 + 2611*m - 1297*m - 1314*m - m**3 + 18*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 121 divide 4147842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) 0.4  (b) 0.5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t**3 + 13*t**2 - 3*t + 2. Let m(k) = -k**3 + 11*k**2 - 3*k + 1. Let s(y) = -3*l(y) + 4*m(y). Determine s(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 - 3*a - 5. Let y(d) = 2*d + 4. Let m(g) = g + 1. Let q be m(2). Suppose q*h - j = j - 4, -h = -4*j - 2. What is h*r(p) - 3*y(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 5382665 divided by -5?\nAnswer: -1076533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 4285, 33632, 112817, 266608, 519773, 897080, 1423297, 2123192?\n\"Answer: 4128*h**3 + 151*h**2 - 2*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 77399 and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + 0*v**2 + v**2)*(10*v**2 - 4*v**2 + 3*v**2) + 0*v**4 - 2*v**4 + v**4.\nAnswer: -19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/((i\/(i**(6\/25)\/i))\/i)*i**(6\/11)*(i**26\/i*i)\/((i**(-16)\/i*i)\/i) assuming i is positive.\nAnswer: i**(12041\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ccnjgjcmwjjjggjcc. What is prob of picking 1 j, 1 n, and 1 m?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 570 + -575. Which is the third biggest value?  (a) 5  (b) v  (c) -1\/7  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, -8, 5, 2.\nAnswer: -8, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*c + 9*c - 3*c)*(4*c**2 + c**2 - 3*c**2) + (c**2 - 3*c + 3*c)*(c - 2 + 2) as b*c**3 + h*c**2 + f*c + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 57*j**2 - 6*j**2 + 17*j**2 + 22*j**2. Let h be -3 - 345\/(-2 + -3). Let c(o) = -30 + h - 2*o - 36. Calculate c(z(d)).\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80557.9963 - -80553. Let r = -5 - p. What is r rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (25\/125)\/((-2)\/(-10)) + 0. Do 5\/74 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.09 and -0.36?\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.41 and 14.17.\nAnswer: 19.9797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + i + 23 = 8*o, -4*o + 24 = 2*i. Let h be (-3)\/(-4 - (1 + (-24)\/o)). Suppose h*z = 11*z + 52. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.04 - -1.96. Let s be -1 + 102 + (-7 - -12). Let o = s + -744\/7. Which is the nearest to 3?  (a) -4  (b) k  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-32)\/(-40))\/((-2)\/(-20)). Let x(c) = 10*c**2 + c. Let s be x(1). Suppose 2*j + 4*u + u = r, 0 = j - u - s. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes after 11:01 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - 40?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = v - 5*v. Let d(w) = -2*w**3 - 4*w**2 + 5. Let j be d(-2). What is the highest common factor of j and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 163868.\nAnswer: 327736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/15*-6*1\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 AM and 4:53 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 2:24 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 780400 divided by -1951\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v = -3*d - 4, -2*v - 4*d - 33321 + 33319 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes before 6:18 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 979823.\nAnswer: 13, 23, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ononnno. What is prob of sequence no?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 1\/5  (b) 36  (c) -4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4002 (base 13) to base 7\nAnswer: -34425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -65c0 (base 16) to base 5.\nAnswer: -1313143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9165 in -3\/8, -0.051, 1\/4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71*c + c**2 + 71*c + c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/3 and -629 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -9 + 1 - 5 + 11*l. Suppose 6*y = 3*y + 39. Let m(t) be the third derivative of 5*t**4\/24 - t**3 - t**2. Calculate y*m(q) - 6*i(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*x**2 + 83*x**2 - 3 + 3 as r + p*x**2 + v*x and give p.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 14241 and 14238 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/653702 and -17\/74004?\nAnswer: 3922212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -240037564 divided by -17498\nAnswer: 13718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 20, 44, 78, 122?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1886660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -3*o**2 + o + 4. Let i(k) = -4*k - 5 + k + 4*k - 3*k**2 + 10. Let t be -9*14\/(-315) + (-54)\/10. Let w(c) = t*i(c) + 6*q(c). Calculate w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8660*j**4 + j**3 - 3*j - 6317 wrt j?\nAnswer: -103920*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*w - 6. Suppose f + 18 = y, -w*f + f = -y + 30. Suppose -c - y = 4*c. Sort -1, c, 0.\nAnswer: c, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -20*j + 22*j. Solve -j*v = -4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 117 + -116.6. Put h, -0.4, 0.5 in descending order.\nAnswer: 0.5, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-93)\/2 + 2)\/(7\/14). Let u = -181\/2 - s. Which is the closest to 1?  (a) u  (b) -0.4  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -436761727 divided by 1?\nAnswer: -436761727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -15 - 1, -4*u = 4*o - 12. Find the first derivative of -2*p**2 - 2*p**2 + o*p**2 - 2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-34)\/(-10) + (-123)\/(-205). What is the smallest common multiple of -3*(1\/6)\/(o\/(-280)) and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -3. Let z = 0.4 - 0.44. Let b = z + -0.96. Is t greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-16) + (-2 - (-87)\/12). Solve 3*v + 0*v + 5*u + 27 = 0, 0 = -j*v + 2*u - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - 13*s**2 - 23*s + 19. What is the thousands digit of q(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67704 is divided by 183.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 86*b**2 - 3964*b - 406. Calculate o(47).\nAnswer: 3260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.9956 and -0.01.\nAnswer: 1.9856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*3*sqrt(475))**2.\nAnswer: 60*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 10\/1*(-33)\/(-66)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*p - 2*p + 1 - 22*p - 1043*p**2.\nAnswer: -1043*p**2 - 36*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*m**4*n**2 + 30*m**3*n**2 - 7*m*n**2 + 20*m*n wrt m.\nAnswer: 24*m**2*n**2 + 180*m*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + -61. Let w be t\/(-9) + 1\/3. Suppose 17600000 = 3*j - w*j. Round j to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kseskkkskkkkkkk. Give prob of sequence esk.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -738, -1313, -1892, -2475?\nAnswer: -3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*v, 4*v + 1290 = -10*w + 5*w. Is -252 less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*200799.65\nAnswer: -60239.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hadbabdabbbdhad. Give prob of sequence bddd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29, 49, 177, 355, 583, 861, 1189?\nAnswer: 1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 2816 = z, -43*p - z = -44*p - 568. Let l be 7*(-5)\/(-175) + p\/(-105). Are 1\/4 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 1. Let l = 1 - -3. Differentiate l - 2*r**4 - 5*r**4 + o*r**4 with respect to r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - (-2 - -2))*(4 - 6). Let c(k) = 11 + 4*k - k - 2. What is c(a)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 77457 = 5*k, 2027*m - 2025*m = -4*k + 61966. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58392, -58656, -58920, -59184, -59448?\nAnswer: -59712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**5\/60 - o**4\/6 - o**3\/2 - 37*o**2. Give f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -13*v**2 - v - 1. Suppose -p = o - 3, 4*o - 9 = p + 2*o. Let f be b(p). Let d = f - -14. What is the smallest common multiple of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2284, 2283, 2274, 2251, 2208, 2139?\n\"Answer: -x**3 + 2*x**2 + 2283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + a - 1, 3*d - 5*d + 10 = 4*a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1043 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 8*v + 25. Does 14 divide p(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1720568 is divided by 344069?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 714 and 24.\nAnswer: 2856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -2*f**3 + 27*f**2 - 9*f - 4. What is the least common multiple of 36 and q(13)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 2*h - 13 = -7*h, -h = -5*v + 31. Suppose -20 = -v*x + 10. Let l be 2*(-3)\/6*0. Solve l*a + x = -5*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 2. Let r = -25.89 + 25.7. Let p = 2.19 + r. What is the biggest value in 3, p, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the second derivative of 4*c**3\/3 - 3*c**2\/2 + 6*c. Let j be b(1). Solve 3*x - 2*x = 3*d + 5, 5 = j*d + x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 + -49 - -31) + 33?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*b**2 - 1 + 1)*(0 + 0 + 2*b) + 2*b**2 + 0*b**3 - 4*b**2 + 2*b**3 in the form o*b**3 + s + z*b**2 + k*b and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12807 or 12808?\nAnswer: 12808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -26*n - 104. Let d be s(18). Let j = 582 + d. Let v = 1\/58 - -107\/522. Which is the closest to v?  (a) -1  (b) j  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 82868*r**3 + 14010*r**2 - 5*r.\nAnswer: 497208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*j + 860*j + 705*j - 851*j**5 + 124*j**5 - 196*j wrt j.\nAnswer: -14540*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (2\/8)\/((-4)\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87*q + 10 = -92*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/360 and 103\/720.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -2*n + 6. Let o(q) = -5*q + 13. Let g(f) = -7*m(f) + 3*o(f). Suppose -6 + 3 = j. Let l = j - -8. Calculate g(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -749 + 215 = -2*r. Suppose -5*c - 5*z + 685 = 0, 5*c - 5*z = 1071 - 366. Let d = r - c. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3 + 32*n**2 - 219*n + 1070. Calculate the remainder when 752 is divided by o(24).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, z: 10, g: 3, y: 2, d: 3}. What is prob of sequence zz?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -45042.690112 and -0.5.\nAnswer: -45043.190112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 35947105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17217829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*l + 264 - 691 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2))**(2\/29) assuming n is positive.\nAnswer: n**(-4\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 7*x + 3. Let d be j(6). Let r = 5 + d. Calculate the remainder when 3 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 5, -2, 0.3, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 16 = l - w, 0 = 5*l - 5*w - 80. Suppose -l = 4*j, -2*m + 0 + 2 = -5*j. Suppose 2815 = -57*r + 2872. Put -4, r, m in ascending order.\nAnswer: m, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 7*c**4\/24 - c**3\/3 - 3*c**2 - 3. Let k(z) be the second derivative of h(z). List the prime factors of k(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17862*p - 17860*p - 3*g + 21, 0 = 4*p - 5*g + 35 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23770*w - 451*w**2 + 47541*w - 23771*w.\nAnswer: -451*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one ninth of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 21703256 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -157*f**3 + f**2 + 8*f**3 + f**2 + 13*f**3 + 118*f**3 + 8*f**3.\nAnswer: -10*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 53, 178, 387, 680?\n\"Answer: 42*w**2 - w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 521646649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-45) - (-116)\/36. Suppose 2*c = 4*t - n*c - 7, 8 = t + 5*c. Let a = 3 + -1. Solve 2*w + j + a = -0*w, w - 13 = t*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 943 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 259 + -256. Which is the closest to 1?  (a) -2\/7  (b) l  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 + -5)*(-2)\/4. Suppose -h = 4*k + 10, 2*k + 53 = 47. Suppose 5*t = -o + 427, -h*t - o = -s*o - 168. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2 - 88380*c + 40401104.\nAnswer: 4*(c - 21628)*(c - 467)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10435.\nAnswer: 5, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 278074 and 7574?\nAnswer: 1082","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 3*x - 10, 2*w - 5 - 9 = 2*x. Let r be 68\/w + (-2)\/11. Suppose -r = 3*d - 24. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from wwyqy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from teuept. What is prob of sequence ee?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 326b20 (base 13) to base 14.\nAnswer: 22c352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - c - 1. Let t be x(-2). Let i be 14\/t + 4\/6. Let w be (-24)\/(-8) + 74\/(-26). Sort w, 0.5, i.\nAnswer: i, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 28 + -76 + 56\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*w**2 + 1646748*w - 338972371938.\nAnswer: -2*(w - 411687)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3134\/55 - 284\/5. What is the closest to m in -0.5, 4\/7, -2\/9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5517 + -1224785\/222. Let r = 5413\/222 + y. Calculate the common denominator of r and -25\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -202*d + 308*d + 106 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(120) - -3*(sqrt(120) + -1*sqrt(120)))\/sqrt(6))\/(-3*sqrt(216)\/sqrt(6)).\nAnswer: -sqrt(5)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 102688829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1224077781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-2)*(-8)\/(-19)*46987\/9892. Let z be 6\/8*1\/(-2). Put j, z, 0.2 in decreasing order.\nAnswer: j, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) + -3*(sqrt(55) - (sqrt(55) - (sqrt(220) - sqrt(55)))))\/(2*sqrt(125)).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 86*z. Let g be r(-1). Suppose 4*o - 4*q = -9*q - 208, 2*q = -8. Let b = o - g. Calculate the remainder when b is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the third derivative of 0*b**3 + 1\/84*b**4 - 2*b**2 + 0 + 0*b**5 + 0*b - 1\/420*b**6. Find t, given that c(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 4*j - 2 + 3.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -17204.6777 and 10.\nAnswer: -172046.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 0.217, 20, -6, 1\/4 in increasing order.\nAnswer: -6, -0.5, 0.217, 1\/4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -61511\/6 + 10227. Calculate the common denominator of f and 51\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -1  (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74.76 - -80. Let o = 0.24 - g. Let p = 218.3 + -218. Which is the smallest value?  (a) p  (b) o  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 68 - 68 + d**2. Let f(x) = -20*x. Calculate f(i(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*o - 3 + 15*o**3 + 2*o**3 - o**2 - 16*o**3 to the form r*o**3 + v + k*o**2 + g*o and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 3*s - 7, 3*m + 5*s - 13 = 22. Let d be (-2 - 9\/(-6))*-6. Suppose -4*b + 3 = -d*b. Solve -2*l + m = -b*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8365.01 to the nearest 10.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 852446 to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 12 - 8. Let l(y) = 16*y - 75. Let t be l(5). Suppose -j - 3*j = 5*i - g, 0 = j - t*i - 26. Let r(p) = -p**3 + 6*p**2 + p - 1. Give r(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -6*z - 2. Let a(k) = -k + 26. Let w be a(5). Suppose 2*u = 5*u + 57. Let j = w + u. Calculate m(j).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**2 + 8*s + 1533*s**4 - 1535*s**4 + 1 - 6 in the form d*s + b*s**3 + q + k*s**2 + g*s**4 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -165\/14 bigger than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -651, -5, 4, 2, -7, -1 in descending order.\nAnswer: 4, 2, -1, -5, -7, -651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * 4.312.\nAnswer: 17.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.5 and -17619086.5.\nAnswer: -17619087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 5 = 2*q. Let l = -126 + 126. Sort l, q, -5.\nAnswer: -5, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10)\/35*-1)\/(48\/2184*390)?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11.99002 + 0.00998. Which is bigger: 55 or x?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 928*p - 22 + 53 - 10 - 21.\nAnswer: 928*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3507906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 15.3 times -5.8?\nAnswer: -88.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -1593\/5 and -318 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + 3. Let r = 48 - l. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 2*r**2 + r - 2. Let f be o(3). Let h = f + 32. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1119453421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 848 and 1325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 460 - 459. Let q = -2 - -2.1. Let y = -3.1 - -3. Which is the nearest to y?  (a) t  (b) q  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x**2 + 9*x - 2. Let r be l(4). Let c(n) = -2*n**2 - 5 + 2 + n**3 - 3*n - 2*n**r. Determine c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 + 13. Suppose 10 = i - 3*p + 22, 0 = o*i - 5*p + 13. Let y(u) = u - 2. Calculate y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*r + 148*r**2 - 37*r + 111*r - 40*r as g*r**2 + f + v*r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 4*z**2. Let b(w) be the first derivative of 19*w**6\/360 + 13*w**3 + w**2\/2 + 50. Let q(i) be the third derivative of b(i). What is f(q(l))?\nAnswer: 1444*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obwcwwwofwwdcdw. Give prob of picking 1 o, 1 w, and 1 f.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 1\/(3\/54) - 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104326.\nAnswer: 2, 52163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rizzrrzrirrz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1530 - 1430?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 20524.596 microseconds?\nAnswer: 0.0003420766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1\/((-4)\/42))\/((680946\/(-1488))\/523)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(13) - (1 + sqrt(13) + 0))*-5 + -2*(4 + (sqrt(208) - sqrt(208)*1)))**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -4.411+-74.3\nAnswer: -78.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {e: 1, p: 1, f: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -52544563494\nAnswer: 52544563497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 29468b - -41?\nAnswer: 2946cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 16. Let x = -9 - -12. Let w = x - 9. Is w bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 3*k**3 - 4*k. Let v = -11 - -14. Let q be (-1)\/(v - 50\/15). Let y(l) = -71*l**3 + 35*l**q + 35*l**3 + l. Give -o(f) - 4*y(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1492 in 6\/7, -31, -2\/319, 2\/17?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/972 and 137\/18?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -32 - (-5 - -13 - 14). Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 5*z**2 - 4*z + 3. Let h be ((-9)\/18)\/(2\/(-16)). Let w be x(h). Suppose 3*n = 2*i - 46, w*n - 48 + 14 = -2*i. Solve -5*t = i + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*m - 12*m - m)*(-2527 + 69*m**3 + 2527 + (-3*m + 5*m - 3*m)*(0*m**2 + m**2 + 0*m**2)) to u*m**3 + q*m**2 + l*m + r + i*m**4 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 350 by 10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvwvccbhwvwwchn. What is prob of picking 1 h and 1 b?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1293\/2 - -624. Let l = 24 + d. Which is the nearest to 0.5?  (a) l  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11384879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/4*(5\/(-285))\/(44\/(-132))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 5 = -m, -4*o + 1 = -4*m + 7*m. Let a(w) = 3*w + 4. Determine a(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -754 - -760. Solve 8 = x*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-18))\/((685776\/3510)\/(-157))\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: ((3 - -3) + 18 + -24)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-3)\/(-1))\/(-3) + 1. Differentiate b + 3 + 2*h**2 - 4 with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the third derivative of -x**6\/24 + x**5\/20 - 5*x**2. What is the third derivative of h(v) wrt v?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39536510 a multiple of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -218920 + 218925. Let n = -12 + 24. Solve n = r - 5*c, -3*c = -h*r + 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 9*r - 5. Let m be y(1). Suppose 2*f = k - 6, 3*k + 7*f + m = 2*f. Find a such that 0*a - 12*a + 6*a + 3*a**k + 3*a**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1602 a factor of 27378180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/6)\/((-12)\/(-54)). Let x be 3 + 120\/v + 0. Let t = 62 - x. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-50)\/125 - (-2 - (-20672)\/(-5)). Suppose -17*g = -21*g + l. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = 3*q + 9, 0 = 4*s + q + 55. Let i be s\/(-65) - 39\/(-5). Suppose -4*r + 15 = 2*o - 11, -2*o - 4 = -r. Does i = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w*w**(-2\/3)*w)*w)\/w)**(1\/72) assuming w is positive.\nAnswer: w**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 + 7*u - 7. Let c(y) = -2*y**2 + 4*y - 2. Let q be c(3). Let w be f(q). Is 0 + 93 + w + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x**3 - 2*x**3 - 17*x - 2 - 2*x**2 - 20*x + 0 in the form u*x**2 + y + k*x**3 + h*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -250\/647?\nAnswer: -250\/647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**3 + p**2. Let h(c) = 20*c**3 + 39*c**2. Let s(d) = h(d) - 5*z(d). What is the third derivative of s(b) wrt b?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 1) + -6 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1345071 and 86359.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/8)\/((-1)\/(1372\/7)). Suppose -2*c - 272 = -3*u, 2*c - c + 4*u + v = 0. Let p = 208 + c. Calculate the highest common divisor of p and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 874 and 33668?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1496714064 is divided by 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*((-231363)\/(-1025) + (-408)\/(-100) + -4). Which is bigger: x or 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/33 and -67\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 209395 - 1468272\/7. Let s = w + 358. Which is smaller: s or 34?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 334*d + 11478 = 5800 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - a + 8 - 5)*(2 + 2 - 3).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s - 23. Let n be x(13). Let o(g) = -g - 22. Let d be o(n). Which is smaller: d or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x. Let j(m) = 17*m. Let v(k) = j(k) + 5*z(k). List the prime factors of v(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14572989 to the power of 1\/2, to the nearest integer?\nAnswer: 3817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -190 or -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.89 + 1.49. Which is the third smallest value?  (a) 7\/4  (b) 5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 36 + w**2 - w - 46 + 0*w**2. Suppose 4*k + 60 = -5*l, -14 = k - 0*l + l. What is the hundreds digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 100120012112122 (base 3) to base 6\nAnswer: 300532542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, -3, -823, 0.4, -1 in increasing order.\nAnswer: -823, -3, -1, 0.4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 41*o**3 - 5*o**2 + 5*o. Let p(c) = -102*c**3 + 12*c**2 - 12*c. What is 12*i(s) + 5*p(s)?\nAnswer: -18*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-2))\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((2 - 4) + 0)*-23. Suppose -m - 4 = -2*m. What are the prime factors of o\/2*(5 - m)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**2 - x + x)*(-1 - 3 - 4)*(-9*x + 90 - 90) - 1 + 1 + 2*x**3.\nAnswer: 146*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7623827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287*t - 2128 = 1935 - 1767 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 98712 = -5*i, 124671 - 1419 = 5*x - 11*i. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 3*j + 425, -3*j + 148 = 5*c - 247. Suppose c = 4*x + 3*k + 25, -k - 1 = 0. What is the remainder when 29 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 16) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 161 = 5*m, -k = -5*m - 0*k - 173. Let w = m - -45. Calculate the greatest common factor of 121 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c + 5*s + 5, 7 = -5*c + 4*s - 8*s for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 779403, 779647, 779895, 780147, 780403, 780663, 780927?\nAnswer: 781195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kskazhs. What is prob of picking 2 a and 1 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16463 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/4 - (-25249)\/(-3607)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -55 = -3298*h + 3287*h. Solve -49*z - 8 = -45*z + 4*j, 2*z + j + h = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6654962 = -s + 5*q, 0*s - 4*s + 3*q + 26619933 = 0. Suppose 0 = 4*r + s + 109745013. Round r to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 11, 0 in ascending order.\nAnswer: -5, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 915 and 33330.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2342 - -2355. Let y(f) = -8*f - 1. Let z be y(-5). What is the greatest common factor of z and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1001 - -11010\/11. Let b(y) = 2*y**3 - 4*y**2 - 2. Let v be b(2). What is the nearest to v in r, 0, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 395095\/36 + -10973. Calculate the common denominator of y and (-872)\/1056 + 2\/3.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35\/(-14))\/((-1)\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*-4)\/2*(15260\/56)\/109?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 439\/14, 4, -2\/15, 1\/5, 1 in descending order.\nAnswer: 439\/14, 4, 1, 1\/5, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 12*m + 39 - 11*m**2 + 6*m + 12*m**2. Let j be h(-16). Suppose -d - j*d = -64. Solve -4*c - 3*v + d = 0, 0*v = 5*c - 4*v + 21 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 - -54. Suppose 4*g = i - d, 2*i - 2*g + 64 = 4*i. Suppose 5*q + i = m, 3*m - 15 = -0*m. Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 996963165 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -281 = -5*h + t, 5*t + 2 = -3. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b + 4804. Let f(j) = -1842*j. Determine k(f(g)).\nAnswer: -3684*g + 4804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 322 = -5*j + 4*j, 3*j = 4*w - 451. Suppose 2*x + 3 = p, 112*x - 15 = -5*p + w*x. Solve -3*z - 2*l + 21 = -6*z, z - 4 = -p*l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -17\/39 + 7\/195. Let k = -23 - -43. Do k and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/16 and -65\/1276614.\nAnswer: 10212912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -u - 30. Let l = 12 + u. Let s be (-25875)\/6*32\/l. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*j - 160 = 6*j. Let o(s) = 3*s + 80. Does 8 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 642?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 2 t when three letters picked without replacement from {w: 4, t: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1026 + -676. Is 70 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -100*j**2 - 11*j + 3. Let o(g) = -100*g**2 - 11*g + 4. Let z(u) = 4*b(u) - 5*o(u). Let r(c) = -72*c + 3235. Let t be r(45). Is z(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124*l + 99 = -116 - 405. What is the closest to 2\/5 in -4, -2, 53\/10, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-412)\/506*1284\/(-336). Let d = x + 26\/253. What is the common denominator of -107\/6 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that 2*f**4\/5 - 548*f**3\/5 + 31026*f**2\/5 + 892144*f\/5 + 5300768\/5 = 0.\nAnswer: -11, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**4 - 6*f**4 + f**4 + (-4*f**3 + f**3 + 2*f**3)*(-4*f + 21*f + 44*f) + (-4*f**3 + 2*f**3 + 3*f**3)*(-4*f - 2*f + 5*f).\nAnswer: -67*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - 0. Suppose 66 - 93 = 9*n. Let m be (3*(-1)\/j)\/(n\/(-4)). Solve 0 = -4*t + m*k - 22, 3*k - 25 = -2*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 33368992.70099734 - 33368993. Let a = h - -0.299. What is a rounded to seven decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 20*h - 6. Let r be (96\/(-80))\/((-3)\/85). Suppose -r*g + 1575 = g. What is the remainder when z(7) is divided by g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 659*m**2 - 37.\nAnswer: 1318*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 5*z + 31 = 0, -3*z = 5*n - 6*z. Suppose 0*d + 4*d = -2*s + 20, 3*d - 15 = n*s. Suppose -r - 1 = -6, s = -3*o + r + 37. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 4 = 0, -5*z - 5 + 1 = u. Let t(g) = g**2 + 25*g + 22. Let s be t(-24). Let n = -202 + 209. Put z, s, n in decreasing order.\nAnswer: n, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 51548540 to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -215671886, -215671885, -215671884, -215671883?\n\"Answer: s - 215671887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.28 - 0.18. Is -16 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 558091169 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -19, -0.2, 106?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10001111001 - 101?\nAnswer: -10001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -333*x - 39 = -336*x. Suppose w - 2*j - 207 = 0, -14*j + 846 = 4*w - x*j. Does 37 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 52124 and -22.\nAnswer: 52102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 5, -572.5, -0.3, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -17 + 16. Let k(f) be the first derivative of 1 + 0*f + 1\/2*f**2 + 1\/2*f**4 + 1\/3*f**3. Give k(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 415*r**4 + 1025*r**3 - 660*r**2 - 1660*r + 880 = 0.\nAnswer: -2, 44\/83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 25*p - 11*p + 155*p + 0*p + 0*p - p + (3 - 5 + 0)*(5*p - p + 0*p) in the form v + z*p and give z.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -8324*d. Let w(j) = 11*j - 294. Let i(o) = 2*o - 56. Let v(s) = 21*i(s) - 4*w(s). Give v(h(z)).\nAnswer: 16648*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2324 a factor of 328262676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -80*-126913\nAnswer: 10153040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1209 and 2379?\nAnswer: 73749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 905*z**4 + 9*z**2 + 67*z**5 - 903*z**4 + 43*z**5 + 1 wrt z.\nAnswer: 6600*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 58*p**2 - 20130 - 20131 + 40255 + (0*p - p + 0*p)*(1 - 2*p - 1).\nAnswer: 60*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v + 48. Determine z(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1150 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, d: 5, v: 2}. Give prob of sequence dv.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -1110079, 7, -4 in descending order.\nAnswer: 7, -4, -1110079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = 2*z**2 - 10*z. Let w be l(5). Suppose w = 2*g - 8 - 2. Sort 0, -1, g.\nAnswer: -1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 - 4 = 2*y. Let z be (-4)\/6 + y\/9. Suppose -z*q - 2*q = -2*j - 22, 2*q + 4*j = 16. Solve q*u - 10 = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 5*z - 5, 4*w + w = 2*z + 25. Solve 0 = -4*y - 0*r + w*r, -y - 4*r = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*t + 818 + 2422. Calculate the lowest common multiple of t and 216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 181849973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -78100 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8704?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -149*h - 201986 + 195430 = 0 for h.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 5*u - d, -2*u = -3*d - 12 - 9. Suppose 3*p + 4*r = -10, -u*p = 3*r + 3 + 3. Let y(a) = 2*a. What is the remainder when y(2) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150, 213, 176, -15, -414, -1075, -2052, -3399?\nAnswer: -5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1331525 (base 7) to base 14\nAnswer: -4814c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1805 is divided by 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/3*138\/40)\/(6\/150). Calculate the highest common divisor of 215 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.37 - -0.63. Is -7 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -166 - -388. Is 18 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2734554 is divided by 197.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4561 minus 53?\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*s + 6*s - s + 4*s**3 in the form o*s**2 + x*s + p*s**3 + a and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together -745994 and -16.\nAnswer: -746010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 31, -41, -3, -4, 7 in ascending order.\nAnswer: -41, -5, -4, -3, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 793 is divided by 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of 23*m**4\/4 + 2*m**3\/3 - 66*m**2 + 76. What is the second derivative of b(i) wrt i?\nAnswer: 138*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -37*k**3 - 3*k**2 + 13*k. Let t(a) = -26*a**3 - a**2 + a. Give -o(l) + t(l).\nAnswer: 11*l**3 + 2*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -544.5 - -545. Let t = -2.03 - -0.03. What is the nearest to -2 in v, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182966 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 3*f**2 + 2*f + 6. What is the units digit of j(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + 18102b7?\nAnswer: 18102b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3461 - 0.346105684. Round s to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -176, -0.3, -3?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 183590 and 34870.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 190642, 762573, 1715768, 3050209, 4765878, 6862757, 9340828?\nAnswer: 12200073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -875 + 875.5. Which is the third smallest value?  (a) v  (b) -1.14  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - q + 5 = 0, i - 4*q + 5 = -0*i. Let u be i\/(-3)*(-36)\/(-4). Factor -x**5 + x**u + 5*x**4 - 8*x**4 - x**2 + 4*x**4.\nAnswer: -x**2*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2772)\/24*(-8)\/(-4). Let t = -205 - v. Solve -k + p + 1 = 3, -5*k = 3*p + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-3)\/(n\/((n*n*n\/n**24*n)\/n)))\/((n\/(n**(1\/19)*n))\/n**(-5\/8)))**(7\/8) assuming n is positive.\nAnswer: n**(-27209\/1216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -422*n**2\/5 + 426*n\/5 - 4\/5 = 0 for n.\nAnswer: 2\/211, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -30, -1.76, 2\/3, 0.01, 0.1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-14) - (-9 - (-732)\/84). Which is greater: j or 4\/69?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - k + 2)*((-1 - 3 + 3)*(4 - 6 + 1) + 6 - 5 - 4)*(0 - 2 + 0).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3 and 25455?\nAnswer: 25455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 - -53 - (-4 - -29)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, h: 3, k: 7, e: 3, w: 1}. Give prob of sequence hih.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -0*x - 5*c - 10, 27 = 5*x - 2*c. Let l(s) = s**2 - 3*s + 6. Give l(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -263302 at least -263301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*2\/12*(-78474)\/(-319).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 25, -3, 8, -2\/3, -4, -0.2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 275.6826 days?\nAnswer: 23818976640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2.7, 62564, 0.5?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -42*(5\/15)\/(1\/23). Let i = -241 - v. Suppose 42 = -0*m + m. What is the remainder when i is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1118*w**4 + 560*w**4 + 556*w**4)*(-3 + 2 - 1).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208962 is divided by 1194.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2723220 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13538715 a multiple of 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43386788 and 40018?\nAnswer: 3638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-46)\/6)\/(2\/6). Suppose 0 = -12*n + 16*n - 128. Let w = k + n. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 5*w**2 + 7*w + 22. Let t be m(11). Suppose t = 5*v - v. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 30\/5693, 3\/2, -2, 0 in decreasing order.\nAnswer: 3\/2, 30\/5693, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5450a (base 12) to base 13\nAnswer: 3b893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 113, 449, 1019, 1841, 2933, 4313, 5999?\nAnswer: 8009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -34*o**3 + 3*o + 2. Let s be (4 - 1\/1) + -4. What is the units digit of w(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 v, and 1 x when four letters picked without replacement from vjxxnknvvxkv.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, g: 11, i: 6}. What is prob of sequence gigg?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1771 - 1769. What is the third smallest value in g, -3\/17, -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -16, -1\/11, -0.5, -1871\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -5 + a**3 + 1 - 2*a + 1 + 2*a**2 - 6*a**2. Suppose 5*y + 5*u = 40, -4*y + 5*u = -0*u - 5. Is 12 a factor of l(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the third derivative of -w**6\/120 - 7*w**5\/60 - w**4\/6 - 17*w**3\/6 - 8*w**2. Let o be v(-7). What is the greatest common divisor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 5 - 2*c**2 + (3*c - 5*c + 4*c)*(2*c - 4*c + c) - 2*c**2 - 3*c**2 + 3*c**2 - 5 + 3 + 277*c**2 - 263*c**2 in the form j*c + l + z*c**2 and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 587229 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 2) + -2 + 4 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 362667750 to the nearest one hundred thousand.\nAnswer: 362700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x**5\/11 + 238*x**4\/11 + 732*x**3\/11 + 8*x**2\/11 - 976*x\/11 = 0.\nAnswer: -2, 0, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - -268352?\nAnswer: 268347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*q - 125 = -50. Solve -2 - 18 = -q*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 711577?\nAnswer: 711577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**3 - 2*n + 25. Is d(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 547*f + 1730 = -318*f. Let a = 3668 - 1243454\/339. Are f and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2330081941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 7*m**2 + 12*m - 73. Let b be d(7). Let c(j) = -j**3 + 12*j**2 - 11*j - 2. What is c(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -2*l - 74, -f + l - 26 = -2*f. Calculate the greatest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -10*o*u*w**2 - 114*o*u*w - 5*o*u + 2*o*w**3 - 8*o + u + 2 wrt w.\nAnswer: -20*o*u*w - 114*o*u + 6*o*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*b - 4*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 + -11. Let h = q - -8. Let o = -5 + 8. Solve o*b - 10 = h*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 4, y: 4, e: 3, l: 5}. What is prob of picking 1 y and 1 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -354*s**2 - 656*s**2 - 809*s**2.\nAnswer: -1819*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4895?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 80905 - 323609\/4. Determine f, given that -21\/8 - i*f - 1\/8*f**2 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.077?  (a) -2  (b) 5\/2  (c) -38\/5  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*b - 3*b + 4*b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 1, 12\/5, -3, 50, 4, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -2 + (14 + -5 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b - 1536. Let z(o) = 7*o + 2305. What is 10*g(s) + 7*z(s)?\nAnswer: -s + 775","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 3 - 3 = 0, 5*x - r = 728. Suppose 4*k = -2*u + 170, -2*u = 4*k - 5*u - x. What is the highest common divisor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.553?  (a) 0  (b) 0.3  (c) -2\/21  (d) 0.02  (e) -0.5  (f) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 2379307617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6*31\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 0.4  (b) -2\/9  (c) -85  (d) -3.432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Is 27408 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 150 and 336.\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of 67*v**5\/120 - v**3\/6 - v. Let y(w) be the second derivative of r(w). Is y(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 641582.8cm to micrometers.\nAnswer: 6415828000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3507263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 5*r**4\/8 - 31*r**3\/6 - 32*r**2. Find the first derivative of z(h) wrt h.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/(285\/(-6)) - 564\/(-304) and (1\/8)\/((-2)\/220).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 336305.\nAnswer: 5, 67261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 24 = 3*a - 2*a, -k - 4*k + 81 = -3*k - 2*a + 93 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/2 + 369*j\/2 + 49911.\nAnswer: -3*(j - 254)*(j + 131)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 10) to base 14\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.291 - -0.791. Which is the smallest value?  (a) -5  (b) -9  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 23082 = -177538. Let d(v) = 7513*v**2 - 3. Let s be d(-3). Let x = s + p. Round x to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**2 + 2*x**2 + x**4 + (-514*x + 2 - 2)*(0*x**3 + 0*x**3 + 2*x**3).\nAnswer: -1027*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3522494 plus -8306990?\nAnswer: -4784496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -5*y + 12. Let p(r) = 28*r - 159. Let s be p(6). Determine t(s).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*p**3 - 7*p - 13 + 3*p**3 + 15*p**2 - p**3 + 6*p in the form z + l*p**3 + h*p + d*p**2 and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 589561473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 3*g**2 + 906*g - 16272. Give v(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/11872907 and 87\/1796.\nAnswer: 47491628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times -3302.6?\nAnswer: -36328.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3117231775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-120)\/9)\/(-8))\/(45\/108).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 l when four letters picked without replacement from lllbbbbb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2.4 - 5.4. Let d = -8.08 - -11.08. What is the biggest value in d, 5, c, -5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 + 4*a**2 - 5*a + 7. Let q be f(-5). Suppose -i - 3 = -q. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84854942 a multiple of 1438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = 3*p - 7, -2*p - 2*j = 1239 - 1245 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -11*u + 8*u + 5*d, -4*u - 5*d = -98. What is the remainder when 1290 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 620.918 and -184.68.\nAnswer: 436.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/7)\/a*a*a**(1\/5)\/a*(a\/(a*a**(-2\/29))*a)**(-13\/4))**15 assuming a is positive.\nAnswer: a**(-59019\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-4)\/10)\/(3\/(-30)). Let r(a) = 18*a - 3. Let n be r(h). What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -137 - -167.5. Let u = h - 30. Which is the closest to -2\/5?  (a) u  (b) -1\/8  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1261 (base 7) in base 4?\nAnswer: -13210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4, -2, -10, -20, -32?\n\"Answer: -q**2 - 3*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-7)\/2 - ((-15561)\/182 - -4)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 224.7 - -94.8. What is d rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2616)\/(-36))\/((-6)\/45 - 0). Let x = -2673\/5 - i. Determine s so that 4\/5*s**4 + 24\/5*s**3 + 16\/5 + 48\/5*s + x*s**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -196.6 times -4\nAnswer: 786.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 217947 and -1.8.\nAnswer: -392304.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, 0, -7, -30, -75, -148?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 497282321 is divided by 1214?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the first derivative of -10 + 10*l + 5\/2*l**2 - 10\/3*l**3 - 5\/4*l**4. Factor s(k).\nAnswer: -5*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/15 in -4, 4, -416?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 146 and 4891.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.01?  (a) 3  (b) -1\/4  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -3, 2*j + 32 = b + 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -762*v = -119*v + 28935 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (704\/2860*-13)\/1\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -bc (base 15) to base 7.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53552, 53601, 53650, 53699?\nAnswer: 53748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98 - 323. Let b = c - -799. Let a = b + -189. Does 48 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of j**3 - 2*j**3 + 1816*j**2 + 1387*j**4 - 6123*j**2 + 0*j**3 - 5972*j**2 wrt j.\nAnswer: 33288*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116980810.2 take away -5?\nAnswer: -116980805.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -6670*a. Let b(q) = -85*q. Determine i(b(m)).\nAnswer: 566950*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 11.2861 * -4\nAnswer: -45.1444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -313.98 + -231444?\nAnswer: -231757.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -57877.2801 - -57882. Round k to two decimal places.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 3 = 5*r, 1 + 2 = 3*f - 2*r. Let m(u) = u**3 + 2*u**2 - 1. Let d be m(f). Suppose 0 = a - d - 2. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2807\/58947*2*1\/(-2)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhhxwiiwww. What is prob of sequence hw?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 263464*y**2 - 97*y + 4310 wrt y.\nAnswer: 526928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*g + 8 + 50 = 19*g. Put 2, 16, -2, g, 0 in ascending order.\nAnswer: -2, 0, g, 2, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -6*m + 59. Let o be h(-32). Let a = o - 247. Let b be (-2)\/((-1)\/(1\/(-1))). What is the nearest to 2\/21 in 3, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 26. Suppose -a + 3*m + v = 0, -2*a + 3 = -m - 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20388 + 45617. Let p be (-6)\/(-9)*(-6)\/2. Let n be o\/30 + p\/12. What is n rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 37 = 15. Find the first derivative of 41*o**4 + 7*o**2 - 36 - 7*o**2 + s wrt o.\nAnswer: 164*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74145 is divided by 6263?\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mnlsnmmmlnnnmnmnsnsm. What is prob of sequence mln?\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.9 and -15.158507464.\nAnswer: -16.058507464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 494304148 to the nearest integer?\nAnswer: 22233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -10*k + 123. Let h be v(12). Let j(b) = b**2 + 5*b - 6. Let c be j(-6). Sort 5, h, c.\nAnswer: c, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*i**3*w**3 + 2*i**3 - 134*i**2*n*w**3 - 2*i*n*w + 107*i*w wrt w.\nAnswer: 30*i**3*w - 804*i**2*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/5, 1\/15, 8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7107019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8*2\/(-2) - -2. Let x be s\/(-9) - (-2)\/(-3). Let g be (-2304)\/20416 - (-20)\/(-290). What is the smallest value in 8, x, g, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6345.864 litres to millilitres.\nAnswer: 6345864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 3*m**2 - 3*m + 17. Let t be l(-7). Let v = t - 128. Let o be (v\/(-12) - -4)*-4. Solve -g = -2*p - 2*g - 3, -15 = o*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1\/5, 7\/4, 2822, 1\/2, 2\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 3*s. Suppose -4*v = -5*p + 22, 0*v = -4*p + 2*v + 14. Let u be (s\/(-1))\/(1*p). Solve -4*k + 3*k - 2 = 3*f, u = 4*f + 2*k + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3807667\/1299 - 8794\/3. Find the common denominator of -1\/3 and i.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 103914307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*(-3)\/(-15) - (-168)\/(-160)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44*w + 25*w - 27*w)*(-2*w + 2*w - w + 2*w + 0*w - w + (-2 - 2*w + 2)*(2 - 1 + 1))*(-2*w**2 + 5*w**2 - 5*w**2).\nAnswer: -368*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 68261063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-9)\/6)\/((-6)\/4) + 2. Let a(t) = 14*t - 2*t**3 - 4*t**3 - 17*t - d*t**2. Does 7 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-77 - 15*m + 77)*(2 - 1 + 7)*(21*m - 7*m + 32*m) as w + h*m + g*m**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -2400*u**2. Let o(x) = -12*x**2 + 7. Calculate o(w(k)).\nAnswer: -69120000*k**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 18 = 4*u - 0*u, -x - 7 = -3*u. Suppose -4*l + 4*q = -16, 4*l + 2*q - 9 = -q. Let z(n) = -n + l + x*n + 2*n. Determine z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - -14) + (30 - 25) + (0 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (16\/(-40))\/((-2)\/15). Suppose 2 = -2*g + w*g. Suppose 0 = -i - i + 2*l + 4, g*l - 16 = -3*i. Solve 4*n = -0*n - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -5*c**3 - 2*c**2 - 3*c - 3. Let a(n) = -11*n**3 - 4*n**2 - 6*n - 6. Let v(l) = -3*a(l) + 7*f(l). What is the units digit of v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.261 and -80.\nAnswer: -20.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -68*a - 7. Is c(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-42)\/(-14))\/((-6)\/4))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (233*p - 233*p + 4*p**2)*(2*p**2 + 3*p**2 - 6*p**2) in the form b + j*p**4 + d*p**3 + n*p + t*p**2 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8795, -8797, -8801, -8807, -8815, -8825, -8837?\n\"Answer: -y**2 + y - 8795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = 2*i - 5*i. Suppose 6*s - i = 3*s. Let g = 4 + s. Which is bigger: g or 13\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 + 4*n**2 - 9*n - 10. Suppose 12*i + 1 = 11*i. Let o be (40\/(-15))\/(i\/(-3)) + 3. What is the least common multiple of s(o) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47*l**2 - 62*l**2 + 109*l**2 + 285*l**3.\nAnswer: 285*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*16\/12)\/(1\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 - 62. Let u(q) = 19*q**2 + 9*q + 10. What is the smallest common multiple of (0 - (-1)\/(-3))*j and u(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2698 + 2699. Suppose 3*c = -10 - 2. Sort u, c, -7 in descending order.\nAnswer: u, c, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 1134*k**2 - 1274*k**2 + 3*k**3 + 2408*k**2 - 22*k**3.\nAnswer: -19*k**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 18332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 32 (base 15) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*y + 19 + 13. Solve 2*j - y = -0*j - 2*b, -b = 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 - 5*l - 20. Let q be y(-15). Let v = q - -172. Solve h - v = 3*k, k = -5*h + 3*k + 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-164)\/123*1287\/44.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 198 - 186. Solve 3*q - o = j - 0*j, 0 = -2*q + 2*j + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 7, 3\/5, 1\/5, -1\/3 in increasing order.\nAnswer: -2, -1\/3, 1\/5, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 5*p + 8 = 0, 50*j + 15*p = 51*j + 92 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 25630445 + 0?\nAnswer: 25630445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1368650, 1368646, 1368632, 1368602, 1368550?\nAnswer: 1368470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87439815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2\/157, -1\/37, 0.106 in decreasing order.\nAnswer: 1, 0.106, -2\/157, -1\/37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 60974 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 13 = -137. Let u = m + -24. What is the third derivative of 0*k**5 - 5*k**5 + 2*k**5 + u*k**5 - 7*k**2 wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hn when two letters picked without replacement from hnxnzyznzyyyyxyz?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -123?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34 - (-27 + 322\/23 + 8))*-1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2 and 2700577639.285.\nAnswer: 2700577641.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 + 2 - 2)*(-1 - 1 + 0) - 1 - 2*s**3 + 1 - 4*s**2 + 4*s**2 - 2*s**3 - 42904 - 2*s**3 + 85907 - s - 42584.\nAnswer: -8*s**3 - s + 419","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13\/1 + (0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 3*y)*((y**3 - 3*y**3 + 6*y**3)*(4*y + 0*y + 2*y) + 4*y**4 - y**4 + 3*y**4)*(4 - 2 - 1).\nAnswer: 90*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*t - 43 = 10*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 3*n = -37, -3*n + 27 = 13*r - 10*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 44\/(-176) - (0 + (-39)\/(-4)). Let j be (42\/o + 3)\/((-2)\/5). Suppose -9*t - j = -3. Solve t = 4*p, -4*l - 3*p = -0*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*y**2 - 2*y**2 - 16 + 4*y**2 - y to the form q*y + j + h*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 70*w - 1. Let b be (24\/(-9))\/(6\/(-9)). Let h be b - 5\/(15\/(-42)). Is j(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -25 + 28. Let i(x) = -3 + 0 - x**s + 2*x + x**2 + 3. What is the units digit of i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.9 - -0.9. Which is the smallest value?  (a) -1  (b) 5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3*25 + (27 - 21). Suppose 7*y = 4*y + w. Which is the second biggest value?  (a) -0.3  (b) 1  (c) y  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 + 19*l**2 - 11*l - 5. What is o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 17 + q**2 + 7.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 25, 33, 63, 127, 237, 405, 643, 963?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -193*c**2 - 7. Let b(s) = 338*s**2 + 12. Let w(t) = -4*b(t) - 7*v(t). Let d(k) = 5*k**2 - k + 1. What is -d(p) - 3*w(p)?\nAnswer: -2*p**2 + p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3272065894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.36*0.7\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21833.\nAnswer: 7, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1410441210 (base 5) to base 4.\nAnswer: 31301011202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 148 a factor of 135532480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvzvvvzvvz. What is prob of picking 2 z and 2 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(378) - (sqrt(378)*-3 + sqrt(378)))\/(sqrt(6) + (sqrt(96) - sqrt(96)*2) - sqrt(6)).\nAnswer: -9*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 39611 or 39833?\nAnswer: 39833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 5*m = 130, 34 = o + 4*m - m. Is o\/(-21)*-3 - -6329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) -1  (b) 0.1  (c) -0.5  (d) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 2*l + 13. Let x(d) = 1. Let j(a) = -v(a) + 2*x(a). Let y be 4\/(-14) + 178\/(-14). What is the units digit of j(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 9.922787t?\nAnswer: 9922787000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 159*p + 28*p + 4*p**2 - p**2.\nAnswer: 3*p**2 + 187*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3*sqrt(275) - (sqrt(11) - (sqrt(539) + -1)) - (sqrt(132)\/(5*sqrt(12)) + -4)).\nAnswer: -92*sqrt(11)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of 3003*c**4\/8 + 2*c**2 - c + 2242. Let d(b) = -b. Give l(d(j)).\nAnswer: -9009*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1016067530 + 18*y - 1016067530.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 10:23 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2)*(-1170)\/(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 112775?\nAnswer: -112776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (5365\/(-25))\/(-29)*(-11 - (-2 - 4))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-2)*(-484)\/363.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 1)*((-2*f**5 + 5*f**5 - f**5)*(4 + 1 - 4) + 4*f**5 - 2*f**5 + 2*f**5).\nAnswer: 24*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -24, 1\/9, 170 in decreasing order.\nAnswer: 170, 5, 1\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -72, -65, -54, -39, -20?\n\"Answer: 2*r**2 + r - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -190631 times -18\nAnswer: 3431358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.273 + 0.37. Let s = -0.597 + o. Which is the nearest to -1?  (a) 0.4  (b) 4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u**(-2\/5)\/u)\/u)**(-5))**(-19) assuming u is positive.\nAnswer: u**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6979763 to the nearest integer?\nAnswer: 2642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -18*p**2 - 2*p - 21. Let x(b) = b**2 - b - 1. Let a(s) = l(s) - 2*x(s). Differentiate a(i) with respect to i.\nAnswer: -40*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h + 23*h = -3. Which is the nearest to -1\/4?  (a) h  (b) 0  (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -52479071*n**4 + 3*n + 9389770.\nAnswer: -629748852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 77633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -207, -379, -559, -753, -967?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 38.046 times 87\nAnswer: 3310.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 6, 61\/5, 0.3.\nAnswer: 0.3, 3, 6, 61\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 82\/7*l + 12*l**2 + 2\/7*l**3 + 0 = 0.\nAnswer: -41, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - y - 2. Let h be r(0). Let z be (-24)\/h*(-4)\/(-16). Solve 8 = 7*f - z*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 150*v + 296 - 523*v**4 - 342*v + 192*v - 29 + 2*v**3 with respect to v.\nAnswer: -2092*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 7 - (-13 + 12)) + 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10\/7 + -13\/14. Let z be (3\/1)\/(-2 + -4 + -1). What is the second smallest value in 1, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 16 = -3*k, 5*w = -4*k + 8*k + 15. Do 2\/7 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 - (-173 - -159 - (0 - 4))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -941578*i*k**3*u**3 + 24285*i + 2*k**3*u**3 - 2*k**2*u**3 + 2*k**2*u**2 wrt k?\nAnswer: -5649468*i*u**3 + 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 168, 172, 176, 180, 184?\n\"Answer: 4*w + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + m - 672 = 0, 0 = 13*r - 14*r + 4*m + 672. Calculate the highest common factor of 105 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12779\/4050 + -241\/81. Find the common denominator of 63\/1760 and a.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 11. Let q(s) = -2. Let b(m) = 5*q(m) + t(m). Let g(z) = -23*z - 26. Let w(k) = b(k) - g(k). Differentiate w(u) with respect to u.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 + 4*d**2 - d - 3*d**2 - 6*d. Let b(a) = -a. Let l(h) = -14*b(h) + 2*r(h). Let o(f) = -4*f**2. Give o(l(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11\/2  (b) -0.018  (c) 9551\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 26 - 3 = -5*p, 0 = -2*p - 3*f + 30. Suppose 0 = -5*i + 2*m + 155, 5*i = p*i + m - 124. Let l = -24 + i. Solve -2*r + l = 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/3)\/1*2\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 47572, 19 in ascending order.\nAnswer: -2, 19, 47572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 90587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**10\/(((f\/f**(-2\/17)*f)\/f)\/f*f))**(-19\/5) assuming f is positive.\nAnswer: f**(-2869\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12831986 is divided by 149209?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 + 5. Let j = -17 - -20. Which is the closest to -1\/3?  (a) -5  (b) y  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yye when three letters picked without replacement from {y: 8, k: 6, d: 1, e: 1, n: 3}.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b**4 + 1445*b**3 + 13380*b**2 + 9020*b - 23840 = 0 for b.\nAnswer: -8, -2, 1, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(36)\/(sqrt(12) - sqrt(108)\/sqrt(225))*2 + (sqrt(1200) + (1*sqrt(1200) - sqrt(1200))*4)**2).\nAnswer: -1200 - 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 76*s**2 - 4*s + 2. Let z be r(1). Put -4, z, -2, 5 in descending order.\nAnswer: z, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 87934?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109328\/(-532974)*12\/2*3\/(-6).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 96218 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 440\/680 + 12\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1516 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 134 + -22. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 2*v**2 - 2*v - 2. Let m = -1 - 1. Let j be b(m). Suppose -w = 2*u + 1 + 1, -6 = j*u + 3*w. Is 2\/13 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.601764 weeks to nanoseconds.\nAnswer: 363946867200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -138 - 130. Find the common denominator of (6\/16)\/(18\/j) and 97\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 408*n**5 - 85*n**5 - 22*n**5 + (-1 + 2*n + 1)*(n**4 + 7*n**4 - n**4).\nAnswer: 315*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -10*b**3 - 7*b**2 - 4*b + 4. Let a(t) = 8*t**3 + 5*t**2 + 2*t - 4. Let z(m) = -4*a(m) - 3*u(m). Let w(n) = 3*n**3 - 5*n - 5. Give -4*w(p) - 5*z(p).\nAnswer: -2*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + 1 - 1)*(1 + 4 - 3)*(-6*n**2 - 1 + 0*n**2 - 4*n**2)*(-1 + 1 + 2*n).\nAnswer: -80*n**4 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -7*l. Let u(m) = m**2 - 9*m + 10. Let w be u(8). Let c(r) = -2*r**2 + 12*r**w - 5*r**2. Determine c(p(k)).\nAnswer: 245*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 27064 + -12868. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 131945?\nAnswer: 5, 11, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 440535468 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29.264448 + 754.\nAnswer: 724.735552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -2 - (25 - 35) - 1 - -9\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1042 (base 6) to base 10\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 2*r + 12. Let n be ((-4)\/r)\/(1\/(-17)). Let y = n - -24. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes before 9:54 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 - 95*t + 2820. What is h(-115)?\nAnswer: 520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(245) + (sqrt(180)*2)**2.\nAnswer: 7*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - (-14626018)\/(-2072840)) + (-4)\/(-70). Is -1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16802*y**2\/15 - 33772*y\/15 - 112\/5.\nAnswer: -2*(y + 2)*(8401*y + 84)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 41. Let w = v - -23.7. Let d = w - -1. What is the nearest to -1\/3 in d, -3, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*s - 10*s - s)*(3 + 1 - 5)*(2 + 11 - 2 + (1 + 3 - 2)*(4 - 1 - 2)) in the form z + o*s and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2762909km in meters?\nAnswer: 276.2909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -1625, -8374, -19619, -35360, -55597?\n\"Answer: -2248*v**2 - 5*v + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from umllq. Give prob of picking 2 q and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10022210000 + -1?\nAnswer: 10022202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -8*h**2 + 4*h**2 + 3*h**2 - 3*h - 1. Let s(w) = w. Determine d(m) + 5*s(m).\nAnswer: -m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -2*j - 64. Let x(p) = -10*p**2 - 21 - 10 + 52 - 21. Give x(v(d)).\nAnswer: -40*d**2 - 2560*d - 40960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (777*i + 8606 - 8606)*(-4*i**2 + 4 - 4) + (3*i**2 - 3*i**2 - 2*i**2)*(-2*i + 0 + 0) to the form v*i**2 + m*i**3 + l*i + w and give m.\nAnswer: -3104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/6 + 3\/9. Suppose f = -s + 5*s - 8. What is the third derivative of -2*y**6 - 2*y**s - y**6 - y**2 wrt y?\nAnswer: -360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/(-6)*2\/(-56).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4 = -4. Let t(k) be the second derivative of 0*k**3 + 0 + 2*k + 0*k**r - 1\/2*k**2 + 1\/10*k**5. What is the derivative of t(f) wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8332*h + 16 = -4*w - 8328*h, 6*h = -2*w + 48 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(-4))\/((-1)\/4). Let i = -3 - j. Differentiate 4*w**i - 5*w**2 - 3 + 2*w**2 wrt w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.8696 * -1\nAnswer: 0.8696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/273 - -821\/546. Which is the smallest value?  (a) d  (b) 0.8  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 4 - 1 + (3 - 5 - 2)*(8 - 5 + 5))*(15*k + 30*k - 13*k) to the form h + n*k and give n.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 210 and 961470?\nAnswer: 6730290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of 96*x**7 + 4*x**3\/3 - 293*x - 2139. Find the third derivative of h(m) wrt m.\nAnswer: 80640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-45)\/(-6) - 6)\/2. Let w = -121 - -843\/7. Let y = 28 - 27.8. Put w, s, y in ascending order.\nAnswer: w, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes after 2:50 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 2, -5\/3, -0.02, -0.1, -21\/2, -0.2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggwq when four letters picked without replacement from qgcyggwgggqgwgggqq?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.059 times -5?\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 385\/495*((-6)\/(-18))\/(1\/3)*-3\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1525  (b) -0.09  (c) -1\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 29 in -5, -0.4, 2\/9, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2268 or 2383?\nAnswer: 2383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, z: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5 + 17*q + 2 + 3 to j*q + a and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1477 + 2088. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 27*c - 2. Let b(j) = -4*j. Calculate f(b(r)).\nAnswer: -108*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (21\/(-140)*-15)\/((-6)\/(-416)). What is the greatest common factor of 24 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybbbyb. What is prob of sequence bby?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 0*c + 13\/2*c**2 + 5. Let g(b) = -b**2. Give g(l(u)).\nAnswer: -169*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -6*t**3 - 3*t**2 + 3*t + 3. Let y(n) = -32*n**3 + n**2 - n + 13. Let z(s) = 10*s**3 - 4. Let i(p) = 2*y(p) + 7*z(p). Calculate -3*i(q) - 2*j(q).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7 - -9) + (17 - (-18 - -28)) + -37.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 119 - 115. Let g = w - 4.66. Let y = g + 0.66000528. What is y rounded to 7 dps?\nAnswer: 0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 2*s**2 + 3*s + 2. Let p be f(-1). What is the hundreds digit of (-1 - 120*p)*(-9)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -70169, -140369, -210569, -280769, -350969?\n\"Answer: -70200*s + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f - 5. Let j be y(-7). Let h = 0 + j. Let b be (-16)\/7 + h\/7. Is b not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 7:46 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 788, 1584, 2382, 3182, 3984?\n\"Answer: q**2 + 793*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -3, -3*c + 8*o = 10*o - 4455. What are the prime factors of c?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 3*d + 5*o, 5*d - 2*o - 12 = 3*d. Suppose 0 = -x - 4*u + 2*u + 84, -d*x + 5*u = -405. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 40 + 73 + (-30 - 42).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*w - w + 2*w - 4*w + 91.\nAnswer: w + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -8*y + 3*y - 5*g, 0 = 3*y + g + 5. Is y\/(4\/(-18)) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 4 + 1)*(-6*x**2 + x**2 + 10*x**2 + (-3 + 2 + 3 + (-1 + 0 + 0)*(-3 + 0 + 4))*(-x**2 - 3*x + 3*x)) as g*x**2 + o + i*x and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 64231\/18 - 3570. Calculate the common denominator of l and 89\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 61*m + 1800. What is j(-30)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q - 5*q - 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/12)\/((-6)\/(-9))*-3. Solve -s - 12 = -4*k, -5*s + 2*k = o*k + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 14, 5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 11821 + -9313. Which is greater: s or 2510?\nAnswer: 2510","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(224)\/sqrt(4) - sqrt(56))\/sqrt(8) + sqrt(77)\/(2*sqrt(11)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - g**2 + 0 + 26*g**2 + 2 in the form t*g + v + m*g**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000118 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*y - 46 = -5*p + 7*p, 2976*y + 15 = 2971*y for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the first derivative of z**5\/120 + 5*z**3 - 51. Let n(f) be the third derivative of m(f). Let a(b) = 11*b + b - 11*b. Give n(a(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 14 - 12*i**3 + 6*i**3 - 11*i**3 - 5 to d*i**3 + u*i + t + o*i**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.3091254 hours?\nAnswer: 1112851440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4+246817378\nAnswer: 246817374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2347777 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4848*m + 9528 = -5245*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, u: 1, z: 1, i: 3}. What is prob of sequence ub?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzzazazzzzzzbozo.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1966675313.\nAnswer: 19, 239, 433093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 31, -8.131, -8 in decreasing order.\nAnswer: 31, -8, -8.131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yykfxywxyyfywxnxxx. Give prob of picking 1 k, 1 n, and 2 y.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 490666022?\nAnswer: 2, 7, 11, 29, 181, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*r + 3 = 39*r - 192. Suppose 0*w - 4 = -w. Find the second derivative of r*q - w*q - 25*q**5 - q + 6*q wrt q.\nAnswer: -500*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*z**5 - 96*z**4 + 80*z**3 + 308*z**2 - 610*z + 300 = 0 for z.\nAnswer: -2, 1, 5\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 19*t**3 + 8*t**2 + 7*t + 3. Let u(j) = 8*j**3 + 4*j**2 + 3*j + 2. Let d(a) = 3*m(a) - 7*u(a). Give d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519360 is divided by 10820.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (38\/(-57))\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178592 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -11784 >= -153210\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*f**2 + 5041779825*f**3 + 4*f**2 - 5041779835*f**3.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*l**3 + 270*l**2 + 478 + 608*l - 73 + 35*l**3 + 5*l**4 - 68*l = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*x - 14*x - 5*x)*(562 + 554 - 739) to the form f*x + s and give f.\nAnswer: -4901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 96 - 63. What is the remainder when q is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 219, 542, 0.1, -2?\nAnswer: 542","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4431752*x**3*z - 10*x**2*z + 200*x**2 - 5*x - 8 wrt x?\nAnswer: 26590512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13 (base 8) to base 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 2. Let t = -0.02 - 2.98. Let r = -0.042 + 1.042. Which is the smallest value?  (a) t  (b) r  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -201110 + 11?\nAnswer: -201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2062 and 2384703?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -4*y - 5*y + 2*y - 5*y. Let t(i) be the second derivative of -i**6\/360 + i**4\/6 - i. Let k(x) be the third derivative of t(x). Calculate h(k(o)).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-21)\/((-84)\/(-20))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**13*g)\/g**5)\/(g**1\/g*g*g)**31)**(2\/3) assuming g is positive.\nAnswer: g**(-106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 12210122 (base 3) to base 16\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 82634451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (420\/(-33))\/((-6)\/33) is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 236*s - 1186. Give h(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9*m**5*r + 19*m**3*r + 481*m**2*r - 2*m**2 + 2*r wrt m.\nAnswer: 540*m**2*r + 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 7*c = -3*c - 8, -c + 4 = q. Differentiate -7 - 12*n - q + 1 + 9 with respect to n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -2. Let x(q) = -2*q**2 + 14*q - 1. Let f be x(7). Is f > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/4461 and -53\/138.\nAnswer: 205206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13574.49 rounded to the nearest 100?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1081 - -16a?\nAnswer: -c14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {f: 1, i: 3, j: 3, t: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3432788 by 9.\nAnswer: 3432788\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/45)\/((-13)\/(20800\/(-20))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2986 - -7243. Let c = -3008 + k. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 3*n + 15, -22 = -2*y - 5*n - 19. Solve -w + 25 = y*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-6) - 56\/(-12). Let o(u) = -u. Let f be o(-3). Suppose i - q*i = -f. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 98*u - 2 + 2 - 93*u as x*u + i and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 3) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 13*l + 47. Calculate the remainder when r(-8) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 519\/4 + (-5)\/(-20). Suppose 22 = -4*q + s. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16.8 + -2.8. Which is the third biggest value?  (a) h  (b) -1  (c) 5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-58\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + -1 + 0 - ((-3 - -9) + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 100 and 940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 1b8 (base 13) to base 11\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.5*-102.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1220215630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 23 + -5150?\nAnswer: -5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 34009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 15 = 2*b, b = -5*p + 11 + 1. Let i(o) = -4*o + 3. Is i(b) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 262509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25822?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3 + (sqrt(5) - sqrt(45)\/sqrt(144))**2*-2) - 4*(3 + sqrt(720)*1 + -5).\nAnswer: -48*sqrt(5) - 37\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -160  (b) 2  (c) -0.3  (d) -0.02  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79049146.\nAnswer: 2, 11, 67, 53629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 296008 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 6*u + 15 + 12*u + 5 - 15*u - 4. Let l(b) be the third derivative of b**5\/30 - 7*b**2. What is x(l(q))?\nAnswer: 6*q**2 + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from frfwptp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355 is divided by 151?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2922, 2, -5, 1, 3 in descending order.\nAnswer: 3, 2, 1, -5, -2922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - d**2 + (-5 - 6 - 1)*(-38*d - 11*d**2 + 38*d).\nAnswer: 131*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10695 is divided by 519.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-11) - (170\/(-165))\/(-2). Which is the nearest to n?  (a) -3  (b) -1  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 2*z**3 + z**2 + 2*z + 2. Suppose d + k - 33976 = 4*d, 2*k = d + 11332. Let p be d\/(-114) - -1*1\/(-3). Let l = p + -101. Calculate n(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 11*m - 33. Let v be k(6). Which is greater: v or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200121 (base 3) to base 10.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, p: 2}. What is prob of picking 2 p and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z + 3*q - 51, 5*q - 5 - 2 = z. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -62, -4, 52, 100, 134?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/13)*a**3*a**2*a*a**(1\/3)*a)**(-21))**50 assuming a is positive.\nAnswer: a**(-102200\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Is 0.6 less than or equal to -0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -0.5  (c) 4503  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from kkh.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**4\/2 + 12*y**3 + 225*y**2 + 596*y - 1665\/2 = 0. What is y?\nAnswer: -9, -5, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 87 = -5*b + 3*l, -b - 3*l = -11. Solve -5*z + 2 = -o, -5*o + b = 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -383*d**3*h*v - 3*d**3*h + 5*d**2*h**2 + 450*d**2 + 3*d*h**2*v + 443*d*v + 10*h**2 wrt v?\nAnswer: -383*d**3*h + 3*d*h**2 + 443*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -30393050  (b) 7\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((2\/3)\/(-1))\/((-19)\/124602). Let i = -1167 + q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/3*4\/6. Let z(b) = 2. Let q(p) = p - 11. Let c(l) = -5*l**3 + l**2 - l - 2. Let m be c(-2). Let i = 55 - m. Give h*q(j) + i*z(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2903541 is divided by 150.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, p: 1, w: 1, q: 5, d: 1, f: 3}. What is prob of sequence cffw?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - 19*l**2 + 5*l - 5. What is s(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -91852268 and -0.03.\nAnswer: -91852268.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + t - 3*t)*(1 + 1 - 1)*(-272*t + 4*t**4 + 272*t).\nAnswer: -16*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.25 + 3. Round m to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vaaaavaavavavaavaa.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -15 - -20. Sort -5, -17, b in increasing order.\nAnswer: -17, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 139296 and 52236?\nAnswer: 417888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 4*m**2 + 6. Let x = 13 - 4. Let t = -4 + x. Is y(t) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 33303 - -6?\nAnswer: 33312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1755 + (4 - (6 + -3)) + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*i**4 + 7*i**4 + i**4 + i**4 - 4 + 3 - 1 + (4*i**3 + 4*i**3 - 5*i**3)*(-57 + 57 + 22*i) to x*i**4 + z + a*i + b*i**3 + f*i**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3279240 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(792)*4)\/(((sqrt(16) - sqrt(256))\/sqrt(8) - sqrt(2)) + 5*sqrt(8)\/sqrt(4) + sqrt(2)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 2668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33)\/33*(-7)\/5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 4 = 4*n. Let k = n - 0. Let m(g) = g**2 + 3*g + 3. Let b be m(-3). Solve -k*y = b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2124 (base 7) in base 13?\nAnswer: 45c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8319, 16607, 24881, 33135, 41363?\nAnswer: 49559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/343*(-154)\/88?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 251 + 230b?\nAnswer: 255c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*d = 29*d - 4. Suppose -3*p = -6*k + 5*k - 8, -3*k = d*p - 20. Solve -k*r + 10 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hthhhthh. Give prob of picking 1 t and 2 h.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -11  (b) 0.06  (c) 3  (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 42*2\/12 - -401.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**2 + 44*w + 191. What is x(48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -771 - -1?\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 + l**2. Let t(n) = 14 + 35*n**3 + 8 - 3 + 8 + 2*n**2. Let z(u) = -2*q(u) + t(u). What is the first derivative of z(f) wrt f?\nAnswer: 117*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 248039?\nAnswer: 11, 22549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 5*n**3 - 3*n**2 + 4*n - 2. Let x = -7 - -3. Let r(b) = -4*b**3 + 2*b**2 - 3*b + 2. Let k be (-351)\/104 - (-45)\/120. Determine k*h(t) + x*r(t).\nAnswer: t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -4*s. Let i be u(-8). Let w = -21 + i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1519246 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 5*f**3 - 4*f**2 - 7*f + 5. Let q(j) = -j - 37. Let n be q(-41). Is p(n) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 5523*l - 1201. Is q(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 2*w. Let y be 9\/6*2\/3. Let p(k) = k**2 - y + 7*k + 1. Suppose -128*l = -69*l + 253*l - 624. What is l*p(s) - 7*b(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -163*p**2 + 2*p + 2 - 3*p - 4 + 2 in the form h*p**2 + m + u*p and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 201526637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -32*x**5 + 425*x**3 - 6955*x. Let l(q) = 17*q**5 - 212*q**3 + 3477*q. Let n(v) = 6*a(v) + 11*l(v). Find the second derivative of n(m) wrt m.\nAnswer: -100*m**3 + 1308*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5*m - 4. Is j(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*c**5 - 21*c**5 + 28*c**5 + (-3*c + 4 - 4)*(-c**4 + 4*c**4 + 2*c**4).\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 10:11 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -167, -5, 0.1, 1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 6*d + 6. Let y be w(-6). Suppose s - y = -s. Calculate the remainder when 1 + (s\/3 - -2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000006706 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -u - 4*t + 4, -5*u - 4*t - 4 = 0. Let j be 5 + -2 + (u - -5). Solve 0 = j*q - 9*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1126 + 1127. Which is the nearest to 2494?  (a) i  (b) -0.2  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 189 - 189. Let w be (152 + v + 0)*3\/6. Calculate the greatest common divisor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 200316387 and 8879?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 82 + -82. Suppose k = 4*t - 12, 4*j + t + 3*t + 84 = 0. Let s = -26 - j. Put 3, -5, s in increasing order.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17983558 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 4 = y, -2*w + 2*y + 10 = w. Suppose 5*p = o - 23, 12 = -3*p - 0*p. What is the remainder when o is divided by (2\/3)\/(w\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r - 7. What are the prime factors of k(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2\/19 = 4044893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 29 = -244. Let g = y - -73. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1*(51\/126)\/((-15)\/10). Let p = s - 4\/63. Suppose 3*x - 3*w + 3 = 0, -3*x + 0*w + w = -1. What is the closest to -0.2 in p, x, 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14286008 divided by -162341\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/679  (b) -4  (c) -1  (d) 2  (e) 0.3  (f) -811\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -8*b + 11. Let h(c) = 3*c - 4. Let i(f) = 11*h(f) + 4*t(f). Let w = 9 - 12. Give i(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-12)\/(-3))\/(-36))\/(6\/9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/41719 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.211 and 0.08.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 370762 + -1?\nAnswer: 370761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/6*2\/10*(-106 - -110)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.561 rounded to 1 decimal place?\nAnswer: -10.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*y**2 + 22*y**2 + 20*y**2 + 6407578*y**3 - 6407576*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*y + 168 - 148, r + 0*r + 5*y = -22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 2\/9 - 2\/3*p + 2\/3*p**2 - 2\/9*p**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*d**2 - 56*d**2 + 76*d**2.\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 58440580 and 2460?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 36313891 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z*z**(-1\/12))**(-1\/35)\/((z\/(z**(-7\/2)*z))\/(z\/z**(-10))))**6 assuming z is positive.\nAnswer: z**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2 + 1\/2*h**5 + 1\/2*h - 1\/2*h**4 - h**3 + h**2.\nAnswer: (h - 1)**3*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0\/1)\/((-9)\/(-9 - (-63)\/14)). Is c at least -2\/11687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -107787*q = -109067*q - 16640 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 9.07, 1\/6, -30, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11010110011011010 (base 2) to base 12\nAnswer: 5364a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**7*s*s**8\/s)**27)**16 assuming s is positive.\nAnswer: s**6480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 2*m - 2*m)*(288 + 2409*m + 284 - 572) to l*m + y + o*m**2 and give o.\nAnswer: -2409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6765677066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -209*g + 202*g = 0. Let c = 0 - -4. Solve g = c*m + m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jzz when three letters picked without replacement from gggzssjsvggggxgz?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1  (b) -0.2  (c) 75  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 479, 1022, 1553, 2072, 2579, 3074?\nAnswer: 3557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 82*z = 86*z - 4. Let o be (z\/(-3))\/((8 + -14)\/90). Suppose 0*v + v = 2. Solve i + o = v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45830*3.\nAnswer: 137490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 6*a - 40. Let b be m(8). Let g(c) = -2*c**3 + 17*c**2 + c - 11. Is g(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -161 + 153 - (10 - (-53 + 12))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(275) - -2*sqrt(275) - sqrt(275)) + sqrt(11) + sqrt(11).\nAnswer: 2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 78*i**5 - i**4 - 5*i**2 + i wrt i.\nAnswer: 4680*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-294)\/245)\/(1\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76)\/sqrt(4) + -3)**2 - sqrt(2299)*1 - ((sqrt(171) + ((2*sqrt(171)*2)**2 - sqrt(171)) - sqrt(171)) + 2 + -1 + sqrt(171)).\nAnswer: -2709 - 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 978 in 2\/9, 1\/11, -0.16, -2, 9\/4?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2716 and 528?\nAnswer: 358512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.08 and 1971848.\nAnswer: 157747.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -905 - -2159. Suppose -5*q = -c - l, -4*c + 313 = 2*q - 193. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = 7659*o**2 - 2*o - 7649*o**2 + o + 1. What is w(2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ydddddyydqdqydqddd. What is prob of picking 1 d and 3 y?\nAnswer: 11\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 + 51*w**2 - 55*w - 228. Let s be j(-52). Suppose 0 = -h + 88 + 113. Let x = s + h. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 15*r**2 + 14*r + 30. Is l(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b**2 - 114*b + 108. What is c(-58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*k + 56*k - 23690 + 23688.\nAnswer: 45*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*u - 350 = 6*u. Let h(v) = -2*v**2 + 19*v + 43. Is h(u) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39223 = -7*n - 39314 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (3 + sqrt(832) + 1 + 2)**2*-2.\nAnswer: -1739 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 1759692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5612755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 2 - 9)*(-6 + 2 - 1)*(0*b**2 + 0 + 1 - b**2).\nAnswer: -70*b**2 + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.06, -0.05, 11 in decreasing order.\nAnswer: 11, -0.05, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 739.39 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 3*r - 12 = 0, 5*g + r - 20 = 4*r. Suppose -1 = -h, 4*h + g = o - 18. Let q = -223 + 323. Calculate the remainder when q is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 329*p**2 - 8*p + 4. Let l(v) = 334*v**2 - 6*v + 3. Determine 2*g(h) - 3*l(h).\nAnswer: -344*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (27\/105)\/(-18*2\/(-120))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 5*w**2 + 2. Suppose -30 = -4*m + 2. Let g(q) = q**3 - 8*q**2 - q + 3. Let x be g(m). Is h(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 15 = 4*m + 2, 4*m - 6 = 2*y. Let h(a) = 4*a**2 - 4. Let v(q) = 4*q**2 - 3. Let g(o) = -2*h(o) + 3*v(o). What is g(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 2 = 8, -f = -2*s - 3. Suppose f*r = 8*r. Solve -3 = -k - r for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/6, -8\/155, -3, 0, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 6 - 1 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -7704 divided by -12\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 41\/5  (b) 0  (c) -7  (d) -1  (e) -2\/9  (f) -0.2  (g) 1464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 702*x**5 - 2*x**4 + 4*x**3 - 17433*x wrt x?\nAnswer: 14040*x**3 - 24*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + a**2 + 6*a**2 - 3*a**2. Let d(g) = -4*g**2. Give s(d(j)).\nAnswer: 96*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2585841 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 10 = 60. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249 - 1005*c + 249.\nAnswer: -1005*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 6*p + 5*a + 275 = 0, 0 = -4*p + a + 217. Suppose 5*o = 2*o + p. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2\/17 - 140*z\/17 + 2450\/17.\nAnswer: 2*(z - 35)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 153 and 11583?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1855665.73 + -1739283.\nAnswer: 116382.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*q**3 - q**3 - q**3 + 16*q**3 + 9*q**3 + 4*q**3 + (q - q + q**2)*(q + 2*q - 2*q) to f + a*q**2 + v*q + j*q**3 and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.42 less than -0.07601567?\nAnswer: -0.49601567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 110100001111110 (base 2) in base 4?\nAnswer: 12201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -54321*v**3 - 3802476*v**2 - 20859684*v - 2304 = 0.\nAnswer: -64, -6, -2\/18107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**3 - 3*y**2 + 2*y + 1. Let a be -1*(114\/(-95))\/(4\/(-10)). Let c be b(a). What is the units digit of (4\/(-8))\/((-1)\/(-2))*c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 33*p + 129. Let l(o) = -83*o - 256. Let a(u) = -2*l(u) - 5*s(u). Let c(g) = -2*g. Let y(j) = 5*j. Let k(x) = -8*c(x) - 3*y(x). Give a(k(t)).\nAnswer: t - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 8*l**3 - 803*l**2 + 2401*l - 210101. Determine q(100).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 7*v**2 - 66*v - 270. What are the prime factors of m(37)?\nAnswer: 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1382 = -9*f + 7*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13640 and 21080?\nAnswer: 231880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from iiiiiifiiiiiiiiiii.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13, -26, -39, -52, -65, -78?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 266399 is divided by 133191?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1468*l - 817*l - 649*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ysyi when four letters picked without replacement from {i: 1, y: 5, b: 1, s: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 7*f - 36. Let z(a) = 6*a - 36. Let l(o) = 7*x(o) - 6*z(o). Is 9 a factor of l(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22791610?\nAnswer: 2, 5, 2279161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1218022 divided by -593.\nAnswer: -2054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 248*t - 2053. Let o be j(13). Which is bigger: o or 1173?\nAnswer: 1173","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.985 less than -77.455?\nAnswer: -74.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/57 + -17\/57. Let n = 17132.2 + -17132.29. What is the nearest to n in h, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 + 4*y - 7 + (2 + 4 - 4)*(-5 + 5 + y) + (-1 + 4 - 4)*(-3*y + 2*y + 3*y) + (-4*y + 5*y - 3*y)*(-3 + 4 + 2).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**2*s*s**(-6\/11) assuming s is positive.\nAnswer: s**(27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 50141, 4, 1114 in decreasing order.\nAnswer: 50141, 1114, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101101010001011101 - -111001?\nAnswer: 101101010010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-13)\/(-12) + -1)*3832\/(-59875). What is the closest to -2 in 1\/4, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a = -60, 220*u - 219*u + 33 = 2*a for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1812?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*l**2 - 30*l + 39*l - 297010 + 297010.\nAnswer: 4*l**2 + 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.08 + -1.08. Let x = 0.02 + -6.02. Let h = x + 9. What is the closest to 8 in -0.1, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 74 + (7 - (20 - -72))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.9 - 3.8. Let h = -1823 - -1823.8. Which is the fourth smallest value?  (a) -3  (b) t  (c) h  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57681 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f + 261*f**3 - 259*f**3 - 2*f.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1780 and 1335?\nAnswer: 5340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/168 and -23\/3150.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -3519*j**3 + j**2 - 35*j - 35. What is the units digit of w(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**4 + 2*x**4 - 8*x**4)*(73 - 33 + 55).\nAnswer: -380*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 7) to base 2\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -176 + 436. Is p a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-7)\/((-63)\/(-12)))\/(-2))\/((-36)\/(-594)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of -17*r**7\/21 + 2*r**4\/3 - 205*r**3\/6 + r**2\/2 - 23*r + 17. What is the second derivative of l(v) wrt v?\nAnswer: -680*v**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 6*l + 54. Let a be s(-7). Suppose -21*i**3 - 24*i + 0*i**3 - a - 15*i**2 + 10*i**3 + 8*i**3 = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(72)*-5)**2 + sqrt(2) + 1 + sqrt(4)\/(sqrt(8)\/sqrt(4))*-6.\nAnswer: -5*sqrt(2) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (11\/(-22))\/(1\/(-42)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 o when four letters picked without replacement from ooooooooomomoom?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20\/11 in -1\/22, 2.9, 1\/101?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -435183\/1925456 + 1\/18514. What is the common denominator of 14\/(-96)*336\/(-32) and x?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.02 and 12337432?\nAnswer: 12337431.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/222 and -65\/8.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(((-154)\/(-33))\/(4\/(-6))).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10307 + -10305. Solve 2*k = -5*q + 12 - 2, 3*k = -f*q + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1.2073227099016 and -75.\nAnswer: -76.2073227099016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -2  (c) -0.11  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 3*n - 217 = -208, 4*k + 3*n + 9 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 15 + -13. Let j = -6 + 7. Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 351*d**2 - 14231*d - 5210197. Calculate g(-349).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*a*h**2 + 423408645*a*h + h**2 - 12887*h + 11937 wrt a?\nAnswer: -2*h**2 + 423408645*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1 + (-3 + 2 + 2)*(15 + 5 - 8))*(14*k - 47 - 8*k**4 + 48 - 13*k).\nAnswer: -80*k**4 + 10*k + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1093, -1170, -1387, -1816, -2529, -3598?\n\"Answer: -12*l**3 + 2*l**2 + l - 1084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 154, -121, -828, -1967, -3538?\nAnswer: -5541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/32 of a meter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*k - 2*h = -4*h - 44, -98*h + 92*h - 9 = -3*k + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.079 in -425, 0.1, -0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**3 - 5*v**2 - 4*v - 14. Let y be k(6). Let q = 1.3 - 1. Which is the third smallest value?  (a) y  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.555 - -0.1855443.\nAnswer: -1.3694557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12037373, 12037360, 12037347, 12037334, 12037321, 12037308?\nAnswer: 12037295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 7710 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -261023 + 522046 - 261023 - 9*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -36, -25, -18, -15, -16, -21, -30?\n\"Answer: -2*s**2 + 17*s - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*r = -75*r - 28. Let z be (-9)\/(-27) - 142\/(-156)*r. Find y, given that 0 - 98\/13*y - 2\/13*y**3 + z*y**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 514363, 2057310, 4628899, 8229130, 12858003, 18515518, 25201675?\n\"Answer: 514321*b**2 - 16*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -13400 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n - 1. Let l be a(-5). Suppose -3*q - 5*v = -l, -q - 2*v + 4 = -0*q. Let s = q - -10. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 + 68112720*q - 579917828224800.\nAnswer: -2*(q - 17028180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3 + 3\/2*o**5 - 9\/2*o + 9\/2*o**4 - 3*o**2 - 3\/2.\nAnswer: 3*(o - 1)*(o + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f - 2*o - 1663, -1327 = 3*f + f + 5*o. Let b = -74 - f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 175 and 8546400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.1 - 3.09999977. What is o rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 268348932 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 163*a**4 + 12*a**3 - a**2 - 1260*a + 5 wrt a.\nAnswer: 1956*a**2 + 72*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9}. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 13717+2\nAnswer: 13719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 2*q + 12. Suppose 8 + 8 = q*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.58*0.0285\nAnswer: -0.01653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 12:57 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, d: 2, n: 1, z: 1}. Give prob of sequence ndzs.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {w: 1, b: 1, q: 1, z: 2, j: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -3*t**2 + 4. Let q(s) = -2*s**2 + 3. Suppose -24*o = -o + 69. Let p = -190 + 194. Give o*h(z) + p*q(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*d - 3*t, 5*d - t + 30 = t. What are the prime factors of -1*(1*d - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 7*i + 16. Suppose 9 = -3*j, -k - 2*k + 2*j = -27. Is m(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*a - 14 + 30 - 14 to z*a + g and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 16*b**2 - 39*b + 2. Let r(k) = 16*k**2 - 40*k. Calculate -3*i(j) + 2*r(j).\nAnswer: -16*j**2 + 37*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/5*j**2 + 0 - 2\/5*j**3 + 1\/5*j**4 + 2\/5*j = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 6, -70.\nAnswer: -70, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of z**7\/1260 + 7*z**6\/720 - 19*z**5\/15 + 77*z**2. Let r(y) be the third derivative of b(y). Give r(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/15 of a century?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.027 - -9.027. What is the nearest to 19.2 in 1\/10, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = -36*j + 33*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16321397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 28023 - 21?\nAnswer: 28002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 502758492.\nAnswer: 2, 3, 3691, 11351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*k - 3*f - 16, 58*f = 2*k + 54*f - 44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8313152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 q when four letters picked without replacement from sppsqsppsp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 2 j when four letters picked without replacement from jgjjjgjj.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {n: 4, h: 7}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25188475.\nAnswer: 5, 13, 17, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 5*y - 813. Let x be g(0). Let d = x + 1351. Is d a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uukgqgzuuug. Give prob of sequence kg.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 0. Let a = -11 - -15. What is the remainder when 21 is divided by a\/1 + d*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 700 and 1600?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(128) + sqrt(128)*-2 + sqrt(128) + 0 - sqrt(128)) + -2*(-1 + sqrt(128)) + 2 + (sqrt(128) - (2 + sqrt(128) + 3)))*4)**2.\nAnswer: 6912*sqrt(2) + 166032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -125673 divided by 489?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110000000001010100011 - -100?\nAnswer: 110000000001010100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6398 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjjpjpjjpj. What is prob of sequence jjp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 18 + -14. Let c(u) = -6*u**2 - 92*u - 26. Let o be c(-15). Solve -5 = 5*k - s - s, -5*s - o = j*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -183 - -189. Let m = -80.69 - -86.6. Let f = s - m. Which is the biggest value?  (a) 2\/9  (b) -0.4  (c) f  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.3118010326 to four dps.\nAnswer: 2.3118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**2 + 765*r - 15620. Give c(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6\/7)\/v**(-1\/4)*(v\/v**(-2\/7))\/(v**(-2)*v))**(-41) assuming v is positive.\nAnswer: v**(-1927\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of 77*f**3\/3 - 35*f**2\/2 + 3*f. Let j(x) = -x + 146. Let b(d) = 164. Let k(l) = 8*b(l) - 9*j(l). What is -35*k(h) + 2*r(h)?\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (-2 - (-19 + 20))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (4 - 8) + -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1349004635?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 13*p - 198. Let h be j(21). Let k(q) = -3*q - 4. Let u be k(4). Let n = h + u. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 4*p = -133, -3*t - 67 - 16 = 4*p. Let m be 29 + t - (-4)\/9. Determine s so that -m*s**2 - 2*s**5 - 20\/3*s**4 + 0 - 74\/9*s**3 - 8\/9*s = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*s - 55 - 106. Let t = s + -24. Let b(h) = -h + 1. What is b(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/4  (b) -63  (c) -1\/2  (d) -0.02  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 83 + (0 - -6)\/(-3). Suppose 27*j - m = 24*j. What is the remainder when 51 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -149597*y**4 - 354245*y**2.\nAnswer: -3590328*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 38, 16, -22, -76, -146, -232?\n\"Answer: -8*c**2 + 2*c + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - a = -154, p + 4*a = -p + 166. Let c = p + -4. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*z + 4*z + z)*(-51809 - 33*z - z**2 + 51809).\nAnswer: -5*z**3 - 165*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 264, 267, 270?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 587 or 569?\nAnswer: 569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-9) - 912\/(-216))*(-6)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**2 + q - 8. Let s be p(0). Let d(j) = 2*j + 2 + 5*j + j**2 - 6. What is the units digit of d(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 1092780?\nAnswer: 1092780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 9*m - 35 = 0. Let g(b) = -b**3 + 7*b**2 + 3*b - 12. Let k be g(m). Suppose h - k*h = 0. Solve 3*t + 3*f - f - 8 = 0, 4*t - f - 7 = h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, v: 1, o: 1}. Give prob of sequence ob.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-9))\/(6\/(-18)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1603578*n**4 + n**2 - 992*n - 2491 wrt n?\nAnswer: 19242936*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2352)\/(-576) - 322\/56.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 525408 and 3?\nAnswer: 525408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*q + 15*q + 49*q.\nAnswer: 69*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36487, 4, -4, 96 in decreasing order.\nAnswer: 96, 4, -4, -36487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5\/6 + 41\/42. Let s be (-49)\/35 + (-2)\/(-2). Which is the closest to 0?  (a) -2  (b) s  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kjkknjkqkknjtjqkn. Give prob of sequence qqk.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 63*a - 354. What is c(5)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -b**6\/15 - 17*b**5\/30 + 4*b**4\/3 + 5*b**3\/3 + 2*b**2 + 9*b - 49. Let u(s) be the second derivative of a(s). Factor u(w).\nAnswer: -2*(w - 1)*(w + 5)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27181)\/7766*((-2)\/8)\/((-644)\/(-16))?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 7*f + d - 103 = 0, 5*d - 15 = 0. Suppose 3*o - f = o. Suppose -t + o = 4*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -52*n**2 + 42*n - 3. Give z(2).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -2*b + 73, -505 = -h + 4*b - 534 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39 by -44506.\nAnswer: 39\/44506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**21)**(-7)*g\/((g\/(g\/(g*g**29)))\/g*g)*(g\/g**(1\/20)*g*g)\/g assuming g is positive.\nAnswer: g**(-3481\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 6485 divide 133168291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 - 4)*(1625*r - 1792*r - 758*r) + r + r - 3*r.\nAnswer: 2774*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119)*-2*-2 + sqrt(119) + 1*sqrt(119)*1)\/(-1*((2*sqrt(847) - sqrt(847)) + sqrt(847)) - sqrt(847)).\nAnswer: -2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*j + 479 = -96. What is the second derivative of 165*g**2 - j*g**2 - 137*g + 47*g**2 + 146*g + 205*g wrt g?\nAnswer: 374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*t - 8 = -142*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14101 - 123?\nAnswer: -14224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 7. Let j be (-2 - 10\/6)\/((-10)\/(-60)). Let s = j + 25. Solve -s*f = -2*w - 15, p*f - 2*w = 2*w + 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 + 3)\/((-3)\/(-24)). Let w(i) = -1 + 0*i - 3 + i. Let g be w(p). Solve 0 = 2*k + g - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/(-6))\/(2\/(-30)). Suppose -4*g + v*n + 6 + 37 = 0, -n + 90 = 5*g. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -1882*h**2 + h - 287. Let m(s) = 942*s**2 + 144. Let k(r) = -2*c(r) - 5*m(r). What is the second derivative of k(a) wrt a?\nAnswer: -1892","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104 + 2 - (2039 + -1988).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 20*v**2 - 108472*v + 173504 = 0.\nAnswer: 8\/5, 5422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 4*h + 16 - 2 = 0, r + h - 4 = 0. Suppose -2*l + 6 = -r*l. Let a(o) = -6*o**3 - 3*o**2 - o + 1. What is the tens digit of a(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3007 (base 8) to base 7\nAnswer: 4333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2440*w + 758822. Determine c(311).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4 - 0)*6\/(-8). Suppose 12 = 5*w - u*w. Is 6 a factor of 2*w\/1*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + 2216372?\nAnswer: 2216370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o - 19*o = 35. Solve f + o*d - 3 = 0, -4*d + 1 = f - d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29233798 and 0.06?\nAnswer: 1754027.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/31 and -3\/5?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 11727, 23467, 35207, 46947, 58687?\n\"Answer: 11740*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23\/((-4)\/(-4)) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 235*w**2 - 48*w + 15. Let p(d) = 101*d**2 - 21*d + 7. Let i(o) = -3*c(o) + 7*p(o). Let f be 6\/15 + 13\/5. Give i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/60876 and 17\/14668.\nAnswer: 11749068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1a + 1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 - 101 = -15*a. Suppose -5*j + d + d + 75 = 0, j = d + 15. What is the greatest common factor of a and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.985 - -0.015. What is the closest to p in 0, -0.11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - x + 45 = -4*x, -3*v - 2*x = 28. Let q = v + 13. Let k be (0 - -3)\/(1\/q). What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 87, 98, 109, 120, 131?\n\"Answer: 11*f + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 9*j + 4. Let s be b(9). Suppose 27 - 51 = -s*t. Solve -t = -2*f + 5*i, 4*f + 2*i + 10 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from svsovscqsvvgcg. What is prob of sequence qgov?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 17842 divided by -1622?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from qmqm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 15174413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 114 - 119 = -5*m, -k + m - 13 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 333, 666, 999, 1332, 1665?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m. Let z(t) = -t + 4. What is -3*b(f) + z(f)?\nAnswer: -4*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 12:47 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*q + 5*q. Suppose 4*s - 5*s = -3*w + 12, q*w - 108 = 5*s. Let k be s\/66 + 4\/22. What is the nearest to k in 4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (7 - 3)\/((-24)\/6 + 6). Let b be (-1)\/4 + (-147)\/(-12). Suppose -r + b = 2*s, -6*r + r - s + 15 = 0. Solve t = -0*a + r*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 1664751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -77\/8  (b) 0.25  (c) -9.6  (d) -0.1  (e) -2\/17  (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 4, 2, 2083 in increasing order.\nAnswer: -5, 2, 4, 2083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of -p**5\/150 - p**4\/30 + p**3\/5 - 4*p**2. Factor o(h).\nAnswer: -2*(h - 1)*(h + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-36))\/((-5)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-12))\/4*528\/11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2373539 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 10401318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -1\/2*s**3 - 5*s - 3\/10*s**5 + 0 + 5\/4*s**4 - 3*s**2. Factor k(n).\nAnswer: -3*(n - 2)*(n - 1)*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*(-20)\/24*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 121012 + -2300351\/19. Let t = -59 - w. Let g = 175 + -164. Which is the nearest to -2\/7?  (a) t  (b) -2\/7  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of i**5\/12 - i**4\/8 + 15*i**2 + 6. Let g(b) = -4*b**2 + 4*b. Calculate -4*g(k) - 3*p(k).\nAnswer: k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 98067340 to the nearest 10000.\nAnswer: 98070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -6*z + 12. Suppose -2 = -2*h - 4*r + z, 0 = 3*r + 3. Which is smaller: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 462068 is divided by 3254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w**3 + 13*w**2 - 100*w - 513. What is m(-5)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 229*d**3 + d**2 + 30*d - 19. List the prime factors of i(5).\nAnswer: 17, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -19?  (a) -0.2  (b) -1\/17  (c) 3\/5  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**3 - 55365*r**2 - 332379*r + 1495341.\nAnswer: 3*(r - 18461)*(r - 3)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1803793660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -3*x**3 + 3*x**2 - 2*x. Let i(d) = -2*d**3 + 4*d**2 - 3*d. Let s(c) = 3*i(c) - 4*j(c). What is the second derivative of s(y) wrt y?\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 + 0*q + 0*q)*(q - 5*q + 2*q) + (-13 + 2 - 13)*(3*q + 2*q**3 - 3*q).\nAnswer: -50*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 78041.64 to the nearest one hundred.\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -66, 5, 1, -3 in increasing order.\nAnswer: -66, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 35 = 3. Let m(l) = -l**3 - 2*l**2 + 3*l - 3. Let c(y) = -y - 1. Let d be c(3). Calculate the remainder when x is divided by m(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 1:07 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uum when three letters picked without replacement from {u: 2, m: 9, a: 5}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4399 and 3551?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(((-522)\/(-36))\/1)\/((-18)\/18)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 2*k + 7 = k, -3*k - 5 = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3 and 41\/466.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-7)\/(t**7*t))\/(t*t*t*t\/(((t\/t**(-1\/4))\/t)\/t))**(10\/3))**(-1))**8 assuming t is positive.\nAnswer: t**(740\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -4 + (0 - -2 - -68)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 78\/52 - (-1 - 5\/(-2)). Solve 2*z + m*z = -8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -3, 0.2, 4, -41.005?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/3 of a century in months?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002162801653 rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 i when two letters picked without replacement from {i: 3, v: 1, s: 6, b: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -52167, -2, -2813 in increasing order.\nAnswer: -52167, -2813, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 201?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 588 a factor of 424994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1807?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 12\/2 + (1646 - -20). Suppose 0 = 113*o - 121*o + k. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-8) - (-2)\/4. Let h(w) be the second derivative of j + 1\/6*w**4 - 1\/2*w**2 + 0*w**3 + 2*w. What is h(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r*r**(5\/3))\/r*r*r*r*r*r**(2\/27)\/r)\/(r\/(r*r**(2\/9)*r*r)*r)**(-42) assuming r is positive.\nAnswer: r**(-1231\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3648 divided by -505?\nAnswer: 3648\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 137529\/1334 + -2370\/23. Which is greater: -80 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3603230 to the power of 1\/2, to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -11*c + 1094. Determine t(62).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 80\/(-6)*96\/(-80). Solve 0 = 3*m - 4*c + t, m - 4*c + 15 = -1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1545489, -3090985, -4636481, -6181977?\n\"Answer: -1545496*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181 is divided by 77.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - h + 2. Suppose z - 2 = -3*o - 0*o, -4*o = 4*z - 8. Give t(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 n, and 2 b when four letters picked without replacement from {i: 6, x: 6, b: 2, f: 2, n: 1}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -8.57 and -2.\nAnswer: -10.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7.41 or -1\/2?\nAnswer: 7.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0146 in -2\/11, 0.07, 1\/2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f = -3*x - f, -3*x - 4*f = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-18)*-3*-3. Solve 2*y = -4*d - 12, -4*y + t*y + d + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 169 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * -0.019\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*u**2 - 4*u**2 - 4*u**2)*(-u**2 + 14*u**2 + u**2) - 54*u**4 + 550*u**4 + 51*u**4 to x*u**2 + j*u**3 + w*u + s + i*u**4 and give i.\nAnswer: 519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(2\/3))\/o)**(7\/10)\/(o*((o\/o**(-2\/25))\/o)\/o*o**(2\/61)) assuming o is positive.\nAnswer: o**(-2651\/4575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) -1\/4503  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1555079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 4*g - 58. What is the remainder when 64 is divided by t(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**3 - 131*p**2 - 67*p + 42. What is d(66)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 123 + -31. Let m be -2 + (3 + u\/(-24))*-6. What are the prime factors of 490\/4 - m*2\/(-12)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.2239 rounded to 1 decimal place?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37764370561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1232\/13 < -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - (-74)\/3) + -6 + 48\/9. Put 0.4, -0.1, -0.2, i, 4\/5 in ascending order.\nAnswer: -0.2, -0.1, 0.4, 4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-88)\/24 - -1*4. Let x = 1.2 - -1.8. What is the closest to p in x, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3003)\/117 - (-44)\/(-132)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.88158 - -0.11842. Put -272, s, -3\/5, -2 in ascending order.\nAnswer: -272, -2, -3\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - g = -14 - 11, -3*a + 3*g + 15 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/(-3 + (-16)\/(-4)). Let d = c - -30. Calculate the least common multiple of 4 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + -3. Let m = v - 3. Which is smaller: -1\/4 or m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -53\/8534 and 83\/4016.\nAnswer: 68272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 9. Let s = -262 - -270. What is the least common multiple of s and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4172*n**2 + 4172*n**2 - 117292*n**3 + 117287*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of -s**2\/2 - 8*s - 2. Let x be n(8). Let w = 44 + x. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(3\/4)))**(-16\/11)*(v**(-1\/18))**(-3\/2) assuming v is positive.\nAnswer: v**(155\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a55cb (base 13) to base 14.\nAnswer: -610d31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.075 - 0.048. Let z = v - -2.673. Let g = -10.7 + z. Sort g, 1\/2, -0.1 in decreasing order.\nAnswer: 1\/2, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001728354 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o - 11. Let p be j(-4). Let n = -301 + 300. Put -3, p, n in ascending order.\nAnswer: -3, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2504\/6 - 1\/3. Suppose -y + t = -2*q, 0 = 2*y - 0*y + q - 809. Calculate the highest common divisor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 64 - 62. Solve 0 = d - 5*p + 17, -23 = -5*d - a*p - 0*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 795 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2729?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 646171 is divided by 83.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 6:02 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 17\/5244 and 7\/2332269.\nAnswer: 9329076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 29064 - -7?\nAnswer: 2906b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a**2 - 2*a**2 + 0*a**2 + (0*a - 2*a + 0*a)*(-a - 4*a + 3*a))*(-4*a + a + a).\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:37 PM and 10:49 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 + 54 = 2*o. Which is greater: o or 41\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*b + 8 = -0*v, 0 = -v + 2*b + 4. Let q be (-2)\/8 - 4\/(-16). Suppose 2*d - 3*f + q*f + 10 = 0, 5*d + 5*f - 25 = 0. Solve d = -v*w - 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 262906086*0.3.\nAnswer: 78871825.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11171248 or -145226220\/13?\nAnswer: -145226220\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.74191 to 1 dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2540*i**2 - 22 + 45 - 24.\nAnswer: 2540*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -3784 divided by 4?\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l + 15. Let w be z(4). Let y(t) = -6*t + 8*t + w + 7 - 18. Give y(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 74967879.\nAnswer: 3, 7, 23, 269, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.5 + 3. Let h = -1.6 - -7. Let v = h - 5. What is the third biggest value in 1, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 3 and -169116967405573.\nAnswer: -169116967405570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 6 = -6. Let g be -2*(1 - w\/9). Let p = 0.008 - 1.008. What is the closest to p in g, 2\/3, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 372.\nAnswer: -5\/372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23748935 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -49549\/13342 - 1\/1906. Let y = -21 - -26. Let c be 2*(-1)\/(2\/y). Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**4 - 52*h**3 + 386*h**2 + 4*h - 1920 = 0. Calculate h.\nAnswer: -32, -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -4. Suppose 0 = 4*b + 4*m - 36, -5*b - 3*m = -m - 30. Suppose 0 = -b*r - 2*z + 8 + 18, 5 = -5*r + 5*z. Put r, c, -2 in descending order.\nAnswer: r, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2072.07 + 2081. Let n = k + -9. Let y = n + 4.07. What is the nearest to -2 in y, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -0*o + 16. Suppose -o - 636 = -5*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 - 17. What is the tens digit of 381\/9 - z\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.2 + 0.1. Let w = -3 - -5. Suppose 3*o + 32 = -5*o. What is the second smallest value in o, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -530 - 105040?\nAnswer: -110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 (base 7) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4266981158 to the nearest integer?\nAnswer: 65322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2 + 16. Let c = 12 - z. Suppose 0 = 3*g + 17 - c. Which is bigger: g or -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of p**6\/24 + 3*p**5\/5 + 37*p**4\/16 + 7*p**3\/2 + 2*p**2 - 1157. Solve n(z) = 0.\nAnswer: -8, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24617*b**3 + 21777*b**3 + 59587*b**3.\nAnswer: 56747*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, -1\/3, -1\/9, -28?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6c2917 (base 15) in base 8?\nAnswer: 23566503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20 - 23. Let s(j) = 20*j**2 - 3*j - 4. What are the prime factors of s(h)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**2 - 31*x - 738. What is z(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0*((48\/(-5))\/(-12) + (-13)\/10). Solve 0 = h + 2, -3*x - 3 = -k*x + 3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162700482 to the nearest integer?\nAnswer: 12755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.07 - -1.17. Put -0.072, w, 3 in decreasing order.\nAnswer: 3, w, -0.072","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nhh when three letters picked without replacement from {h: 3, n: 11}?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, 1\/4, -1, -4, 176.76?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -248.9 - -267. Let t = y + -18.10186. Round t to 4 decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8790642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uububb. Give prob of sequence uu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and -84.8?\nAnswer: 2.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - 3*n + 2, 0*o + 2*o - 20 = -4*n. Suppose o*d = 5 + 5. Let x be ((-3)\/2)\/((-1)\/2). Solve -d = x*m + 2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from agagggnghggpa?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 16 = -u, 4*u - 4*q = 3*u + 16. Solve -5*j + 4 = -u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1325, -2646, -3965, -5282, -6597, -7910, -9221?\nAnswer: -10530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 28 = 4*z + 3*i, -2*i = -3*z + 16. Factor -z*c**2 + 3*c**3 - 21 + 21.\nAnswer: 3*c**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 minus 155.106892?\nAnswer: -163.106892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -5*l + 89, 4*u = 2*l - 8 - 22. What is the remainder when -69*3\/(-9)*(0 + 1) is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + (0 + -6*(sqrt(1872)*3 + -1) - (-4 + sqrt(1872) + (sqrt(1872) - -4*(-2 + sqrt(1872) - sqrt(1872))) + -4)))**2.\nAnswer: -12000*sqrt(13) + 749425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 924 is divided by 186?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = i - 66, -i + 100 = 5*g - 2*g. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*c - 8*c - 2*j + 4 - 257 = 0, -j + 1 = -11*c + 13*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 3386\/1059, -0.2, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27 + 0.1.\nAnswer: -26.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -7*p**2 + 2*p - 8. Let g(v) = 13*v**2 - 5*v + 16. Let j(z) = 6*g(z) + 11*u(z). Let b be j(7). Is 6\/3 - (-23)\/b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1992969 divided by -96.\nAnswer: -664323\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*x - 3*x - 7*x - 3*x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11129*d**3*h**4 + 74*d**3*h - 2*d + 15*h**4 - 3*h - 58 wrt h?\nAnswer: -133548*d**3*h**2 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 3*o = -312, -4*i - 3*o + 247 = 2*o. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 6 + 0)*(-3 + 1 + 0)*(y - 4*y + 4*y)*(-3 + 1 + 5) + 7*y + 0*y - 5*y in the form u + k*y and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143546713 is divided by 35886674?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11561 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 0.08, 14, 0 in descending order.\nAnswer: 14, 0.08, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.5  (b) -0.5  (c) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 33518537 - -4?\nAnswer: 33518541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - 29. Let o = -28.5 - h. Let a = 0.205 + -0.205. Sort a, 1, o, 3.\nAnswer: a, o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.32 - 2.38. Let a = -2.2 - q. Let g = -0.01 + 1.01. What is the closest to g in 0.4, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 20*v**2 - 20*v - 41. Is x(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -6291540, -6291538, -6291536?\n\"Answer: 2*z - 6291542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 15*q**3 + q**2 + 7*q + 1. Let i(n) = -16*n**3 - n**2 - 6*n - 1. Suppose 5*s + s = 639 - 675. Calculate s*i(u) - 5*v(u).\nAnswer: 21*u**3 + u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and 0.13461298.\nAnswer: 0.33461298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*q + 3*g = -12*q + 88, 87 = 3*q - 3*g. Suppose 19 = -2*h + q. Factor -2\/13*v**h - 4\/13*v**2 + 4\/13 + 2\/13*v.\nAnswer: -2*(v - 1)*(v + 1)*(v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5395\/156)\/83*8\/(-25)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9312 and 7488?\nAnswer: 726336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 4*s - 16, 3*a + 19 = 5*s - 2. Let m(q) = -q**2 + 5*q - 4. Let z be m(s). Find the third derivative of -59*p**6 + 11*p**z + 56*p**6 - 6*p**2 wrt p.\nAnswer: -360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 265 = 4*x + x. Let m(p) = -p**2 - 52*p - 103. Let i be m(-45). What is the greatest common factor of x and i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 + -5 + 11 + 12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 149868, 149875, 149882, 149889, 149896, 149903?\n\"Answer: 7*x + 149861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44411 or 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 11145318 - -18?\nAnswer: 11145337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -v**5\/15 - v**3\/3 - 9*v**2. Differentiate f(o) wrt o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12715891 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*z + 6 = 0. Suppose 4*q + 5*u - 63 = 0, -2*u - 4 = z*u. What is the derivative of -10 + 0*c**2 + q + c**2 + 4*c**2 wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 * -0.6\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*d**4 + 184*d**3 + 2240*d**2 + 6272*d.\nAnswer: 4*d*(d + 4)*(d + 14)*(d + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of 7\/4*d**4 + 20\/3*d**3 + 7 + 0*d**2 + 0*d. What is the third derivative of v(f) wrt f?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92321586 to the power of 1\/2, to the nearest integer?\nAnswer: 9608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -273, -14.4, -6, 0.5, -0.2, 1 in descending order.\nAnswer: 1, 0.5, -0.2, -6, -14.4, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/44*4*(10\/(-48))\/5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(156) - (sqrt(156) + (-1*sqrt(156) - sqrt(156)))*-3)\/(sqrt(132)\/(sqrt(11)*1) - (sqrt(12) - 4*sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + -38 + 44 - (-6 + 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 7:24 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2454.8 + 2455. Which is the second smallest value?  (a) 14  (b) 1\/2  (c) -2  (d) 3\/7  (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (0 - 0)\/(-1) + 2. Which is the smallest value?  (a) 0  (b) -1\/4  (c) l  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*n - 38*n + 44*n + (2*n + 0*n - 3*n)*(-3 + 7 - 3) to m + d*n and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -5*m - 5, -3*a = -m - 0*a + 10. Let s be 2\/(-9) + (-195)\/(-27). Sort 3, m, -4, s in decreasing order.\nAnswer: s, 3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -2. Let l be (24\/36)\/(14\/6). Which is greater: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -145 divided by 4.\nAnswer: -145\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:41 PM and 11:53 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -11 - (15 - 22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 2, x: 2, w: 1, z: 4, j: 5}. What is prob of sequence jwzj?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 264976025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (120\/(-84))\/((-270)\/4*(-138)\/(-2898)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1011121202 (base 3) to base 14\nAnswer: -8587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the first derivative of -7 + 3 - 12*d + 36*d + d**2 - 2. Let x be t(-10). Solve 5*q - 4*c - x = 0, -3*c + 2*c + 12 = 2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 5 = 2*t. Let a = 3 - t. Find the second derivative of 2 - 2 + v**a - 2*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 6 - 13)*(-2*i**3 + 3*i**3 + 0*i**3)*(-1 - 3 + 2)*(-10 + 12 + 9).\nAnswer: 242*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138 divided by -53118.\nAnswer: -23\/8853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-4*(sqrt(612) + 2*sqrt(612) + 3).\nAnswer: 24 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -2*f - 8, -1662 = -4*k + 3*f. Let z = -420 + k. Let n(q) = 3*q**2 + q**3 + 0*q + 4*q - 5*q + 1. Give n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w**3 + 2*w**2 - w - 1. What is i(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b - 20 = -20*b. What are the prime factors of 0 + b\/(-6) + (-3506)\/(-6)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 5409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 529*c**3*i*u + 78*c**3*i - 97*c**3*u + 2*c**3 + c**2*u + 2*c*i + 2*c*u - 13446*i + 17*u wrt c.\nAnswer: 3174*i*u + 468*i - 582*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*c + 5*c = -648. Let j(i) = i**2 - 7*i - 2. Let g be j(8). Calculate the remainder when 4\/(-6) + 862\/g is divided by c.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 9) to base 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**13\/(l*l**23\/l*l)*l**30\/((((l\/l**(-24))\/l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + j + 25, 3*s = 460*j - 465*j - 59. Let k = 0.42 - 0.02. What is the biggest value in s, -4\/5, k, -10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-891)\/126 + 7)*-6. What is the closest to 2\/9 in i, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 414210143 + 2?\nAnswer: 414210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77261.\nAnswer: 77261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**2 - 4. Let r be z(2). Solve r = -3*k - 1 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 6*g**3 + 11*g**2 + 9*g - 15. Let r(x) = 5*x**3 + 9*x**2 + 10*x - 15. Let v(a) = -7*r(a) + 6*w(a). What is the units digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*f**4 - 29*f**4 - 113*f + 16*f**4 wrt f?\nAnswer: -264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8778c1f - -1?\nAnswer: 8778c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((0 - -5) + -6)\/(4\/(-1020)). Let r = z - -895. What are the prime factors of r?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6868249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2057)*2*-3)**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 3*v = -2*v + 7, -v = t - 5. Let n be 365\/(-292) - (385\/(-4) - -2). What is the highest common divisor of n and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75 - -78. Solve h = -0*y - 3*y + 3*f, 5*f = -5*y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7191 + 11038. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 7*k + 2. Let p(j) be the third derivative of j**4\/8 - 13*j**3\/6 + 4*j**2. Let x be p(6). Let s(v) = -3*v + x*v - v. What is c(f) - 6*s(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 459746368?\nAnswer: 2, 17, 31, 43, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8215 divided by -4504.\nAnswer: 8215\/4504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16.1600989 + -16.16. Round m to six decimal places.\nAnswer: 0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2.2 * 0.5992.\nAnswer: 1.31824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*a**2 + 23*a**2 + 5524*a - 16486*a + 5486*a + 5476*a.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2371238668?\nAnswer: 2, 592809667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 14*g - 47. Let p be t(12). Let m = p + 226. Which is greater: -134 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-2))\/(805\/(-140))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*o**5 + 8721*o**4 + 6*o**3 - 7*o - 258239.\nAnswer: 680*o**3 + 104652*o**2 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of -7*y**5\/30 - y**4\/2 + 25*y**3\/18 - y**2\/2 - 11. Find l, given that w(l) = 0.\nAnswer: -3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 5*j**2 - j + 1. Let v = -39 - -79. Let y = 57 - v. Let u = y + -12. Give q(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-1))**47)**19\/((d**(-1))**(-1\/25)\/(d\/(d**(1\/3)\/d)*d*d*d\/(d*d*d**(-2\/9)))) assuming d is positive.\nAnswer: d**(402491\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epezpbbeppebbbpppbe. What is prob of sequence pze?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 - 6376?\nAnswer: -6375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 4, 4*f - 30 = 246*b - 248*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 111279 divided by -3?\nAnswer: -37093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/5, 0.1, 0.5, 0.01?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 20232730 a multiple of 914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v**3 + 5*v**3 - 5*v**3 + (-4*v**2 + 5*v**2 - 3*v**2)*(0 + 2*v + 0).\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of 1025*b**4\/6 + 2903*b**3\/6 - 2699*b. What is the second derivative of j(o) wrt o?\nAnswer: 4100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f - 37*f + 16*f.\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -3*j - 22, 2*d - j = 3*j + 26. Suppose -3*h + d*h = 24. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 11, n: 1, r: 4, w: 1}. Give prob of sequence ry.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 313.94 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/8 of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 94*z + 84*z - 24*z + 53 + 3643 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -83 + 85 + -100 - -80?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4554 - 4548. What is the lowest common multiple of 552 and s?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p - 666 = 4*j, -3*j - p - 182 = 293. Let a be (-3105)\/20 - 2\/(-8). Which is smaller: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.691 + 1.391. Suppose d - 4*d + 7 = -2*s, 0 = 3*d + 2*s - 23. What is the nearest to d in 1, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1565 - 90. What are the prime factors of d?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -142\/153 - -12\/17. Which is the biggest value?  (a) -4  (b) p  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -16460464 + 3?\nAnswer: -16460461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1432939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28438 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.062 - 3.638. Let d = b + 3.8. What is the nearest to d in 5, 3\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 113232 - 202102?\nAnswer: -22210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 52 in -0.1, -0.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + -1 + -1 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-5))\/(-136 + 135 + 169\/170)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, y: 2, i: 1, x: 9}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4085246164 to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -2*p - 10. Let t be s(-7). Suppose 4*u + 0*f = f + 12, 2*u + t*f = -12. Suppose n = -0*i + u*i + 20, 0 = -5*n - 3*i + 61. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 14*b + 20. Give q(-16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 d, and 1 g when four letters picked without replacement from dehhhehhhhhygyheyhy.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 0, -2*v + 3*v = -4*x + 148. Let s be 0 + x + (13 + -4)\/(-3). Let k be 1\/3 - 304\/(-6). What is the greatest common divisor of k and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:06 PM and 10:31 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 11:34 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/3  (b) -5  (c) 0.06  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-13)\/(-13)*(10 + -1). Suppose -m + b = 2*y, -5*m + y + 12 = -0. Let 0*a**m + 5*a - a - 4*a**3 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + (-425)\/(-65) + (-8)\/2. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2a8b - -5?\nAnswer: 2a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*j**3 - 77*j**3 + 43*j**3.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2703 - -40549\/15. Sort -18, 0.1, r.\nAnswer: -18, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 - 10*m**2 - 10*m - 7. Let v be (-1210)\/(-18) - 4*1\/18. Suppose 11*w - 54 = v. Calculate y(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8 + -6. Suppose 14 = -z*g - f, -5*g - 2*f - 33 = -0*g. Sort g, 2, 3.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101423344 (base 5) to base 12\nAnswer: 1833b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**3\/5 + 6*l**2\/5 + 72*l\/5 + 64\/5.\nAnswer: -2*(l - 8)*(l + 1)*(l + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 9057899, 4.\nAnswer: -3, 4, 9057899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 q, and 2 k when four letters picked without replacement from {c: 10, o: 1, b: 2, k: 2, q: 2, r: 2}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/9*(168\/(-14))\/48)\/((-14)\/462)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 221 - 133330010?\nAnswer: -133323123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 18\/31, -176, -4, -7 in decreasing order.\nAnswer: 2, 18\/31, -4, -7, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 11724406 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the third derivative of s**4\/24 + 5*s**3\/6 - 3*s**2. Let j be v(-5). Suppose j = -3*p + 4*p - 4. Solve k + 0 + p = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1742 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 PM and 7:56 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a. Let u be k(6). Let q(b) be the first derivative of -b**3\/3 + 4*b**2 - 2*b + 310. Calculate q(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/93 and 31\/1167?\nAnswer: 36177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzazaae. Give prob of picking 1 e and 2 a.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -262 + 258. Which is smaller: -8 or i?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 v when four letters picked without replacement from vnyxyynnxxnnvxnyxny?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*p - 29780*l + 29779*l = -96, p + 20 = -4*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -10*z + 27287, 5*z + 66254 = 2*k + 11830. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from tttvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 499, 993, 1487?\n\"Answer: 494*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 4 = 3*c + 2*b, 0 = 4*c - b + 2. Let y = c + -11. Let t(r) = r**3 + 12*r**2 + 9*r - 8. List the prime factors of t(y).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5943, -5874, -5793, -5694, -5571, -5418, -5229, -4998?\nAnswer: -4719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m + 5. Let v(a) = -1. Let d(i) = i**3 - 38*i**2 - 81*i + 43. Let l be d(40). What is l*v(x) + f(x)?\nAnswer: 6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*m + 12*m - 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 2*d**3 + 3*d**2 - 8*d - 8. Calculate s(4).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1583697330?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = x + 12, 0 = -4*o - x + 9. Solve o*d + 5 = 4*f, 2 = 3*f - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*j**2 - 5*j - 37*j**2 + 10 + j - 8 + 0 as d + b*j + l*j**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1169 - -373. Suppose -42*p + 48*p = w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19201*f**4 + 423*f**3 - 8*f**2 + 1690*f + 48 wrt f?\nAnswer: -460824*f + 2538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -4*g - 5. Let k be u(-4). Let r be k\/9 - (-2)\/(-9). Let s be 495\/10*4\/r. What is the greatest common divisor of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w. Suppose 0 = 3*g - 5 - 4. Let k(q) = g*q + 7 - 7. Give t(k(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -305, -0.41, 15\/22 in decreasing order.\nAnswer: 15\/22, -0.41, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 142 - 140. What is the third derivative of -32*j**4 - 9*j**4 - 2691*j**2 + 2735*j**w wrt j?\nAnswer: -984*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((-3*sqrt(171) + 3)**2 - (4 + 3 + sqrt(171))**2) + 4.\nAnswer: -96*sqrt(19) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + -1*(-4)\/1. Find i such that 2*i**2 + 2*i**4 + r*i**3 - 4*i**4 - 2*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 57*k**2 + 13*k + 13. Let g(a) = -29*a**2 - 6*a - 6. Let m(c) = 6*f(c) + 13*g(c). Let z(x) = 2*x**2. What is z(m(j))?\nAnswer: 2450*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -4, 7, -3, 0 in ascending order.\nAnswer: -4, -3, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 941 - 936.87. Let z be 4\/(-10) - (22 + -22). What is the second smallest value in a, 0.3, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + 1*sqrt(204)\/sqrt(12) + (sqrt(1377) - (-2*sqrt(1377))**2 - sqrt(1377) - sqrt(1377)).\nAnswer: -5508 - 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 10*a + 7. Let l = 27 + -29. Let y be v(l). Let b = y + 30. Calculate the greatest common factor of 34 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 4*u - 58 = 0, -4*q - u = 3*u - 100. Let a be -1*(1 - 2) + 3. Suppose -t = -a*t + q. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/8*(-2 - 4\/(-2)). Suppose -5*x + 2*q + 2*q + 81 = m, 3*q + 82 = 5*x. Suppose 23*r = x*r + 858. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -147 + 139.3. Let b = 8 + r. What is the biggest value in -2\/3, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6946 a factor of 450996859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 858*d**3 + 2*d - 2*d.\nAnswer: 858*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 plus -12121657?\nAnswer: -12121656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 70488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1475, -659, 157, 973, 1789?\nAnswer: 2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 198.79 + -188.9. Let x = u - -0.11. Let s = -7 + x. Which is the biggest value?  (a) -2\/15  (b) s  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 305608632 to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**3 + 9*o**2 + 7*o + 24. Determine w(-9).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven sevenths of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34 - 3128)\/(-102) + (-6)\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**2 + 2*m**2 + 5*m + 4*m - m**2. Let y be z(5). Suppose -q = -0*q - y. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3496.06 and 0.5.\nAnswer: -1748.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*o - 22 = -1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 937329161 - -3.\nAnswer: 937329164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.2, -43779, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 69148 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7679586060.\nAnswer: 2, 3, 5, 19, 37, 60689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7181 - -3954. Let l = -1024 - d. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*f + 3*f + 20. Suppose f + 1 = 2*c. Solve -6 = -c*i - 0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -400214433?\nAnswer: 400214433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -22*w**2. Let l(d) = -d**2. Calculate y(l(f)).\nAnswer: -22*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 271121348*a**3*h - 121*a**2*h + 249*a**2 + 1814*a*h wrt a.\nAnswer: 1626728088*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hgsg when four letters picked without replacement from gghhggihghgiggshghh.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 64316281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 263119891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -290077780 divided by -58015556.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2 + 9*t + 8.\nAnswer: (t + 1)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*y**2 + 4*y**2 + 32*y**2 + 33*y**2.\nAnswer: 100*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002309189 to six decimal places.\nAnswer: -0.002309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 + 13.918. Let a = 412372 + -412372.0820186. Let q = a - m. What is q rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*y + 6*y - 18*y + 8*y + 4*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 4*k**4 + 486352*k**3 - 486356*k**2 = 0.\nAnswer: -121589, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 19\/(3059\/(-1334)) + (-16)\/(-7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most 100\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 2*f + 5 = -0*w, -w - 2*f = -1. Suppose 5*b + 3*v = 278, -5*v + 170 = w*b - 0*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that 52*s**2\/5 - 24308*s\/5 - 4872 = 0.\nAnswer: -1, 6090\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*o**3*z**3 - 4650*o**3*z + 16841*o**3 + 2*o**2*z + 384782286*o*z**3 + 2*z wrt z.\nAnswer: 12*o**3*z + 2308693716*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of w**4\/4 - 7*w**3 + 19*w**2\/2 + 44*w + 163. Is 43 a factor of i(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmymmymfyymfq. What is prob of picking 2 m, 1 q, and 1 y?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 5*d**3 - 12*d**2 - 85*d - 180. Let h(f) = f**3 - 2*f**2 - 17*f - 36. Let i(t) = 11*h(t) - 2*u(t). Let s be i(-4). Is 2\/103 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -1. Let w = 1.3 - 2.3. Sort o, w, -2 in decreasing order.\nAnswer: o, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*k - 5*d - 80 = k, -57 = -4*k - 3*d. Let x = k + 4. Suppose x = -4*t + 3. Which is smaller: -5 or t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, p: 1, s: 3, z: 2, b: 1, q: 1}. Give prob of sequence ipb.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 87*l + 330 + 366 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 4) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 4*j**2 - j + 2. Let q be w(1). Which is the nearest to 0?  (a) q  (b) 3\/5  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -590301 divided by 590301.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 28. Let x = 4.6 - 5. Which is the smallest value?  (a) r  (b) x  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (50 - 42) + -1 + -5 + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/((-3)\/(-2)) + (3485 - -1). Suppose -b = 9*m - 17*m. Suppose -s - s = -m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**2. Let h(o) be the second derivative of -o**5\/60 - 31*o**3\/6 + 23*o. Let n(l) be the second derivative of h(l). What is n(j(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together 43864472 and 5.\nAnswer: 43864477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12426 by 4142.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Are -2033\/25 and -80 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -19 times -258\nAnswer: 4902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 158319587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 - 89*a + 586. What is q(7)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1, 2, -3, 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**5\/20 - 21*j**4\/8 - 11*j**3 - 106*j**2 + 21*j - 4. Let m(l) be the first derivative of s(l). What is z in m(z) = 0?\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 147078.\nAnswer: 2, 3, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1595900336 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5*k = -2300, 0 = -2*o + k - 0*k + 932. Let t = o + -462. Solve t*w = -w - 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 345*s**2 - s + 2. What is r(1)?\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-8))\/(103\/(-43260)*150).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 178880 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 12*i - 1. Let p(f) be the second derivative of -f**3\/3 - 134*f. What is p(d(n))?\nAnswer: -24*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1329 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14 - 3 - 11*o + 11 + 0*o**2 - 1 - 2*o**2 to the form k*o + c + p*o**2 and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s + 3. Determine j(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33\/72*(-128)\/704.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -445587\nAnswer: -445583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 45 - 27. What is the second derivative of 49*a**3 + 37*a**3 - 82*a**u + 30*a**2 + 18*a**2 - 237*a wrt a?\nAnswer: 24*a + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5360 in -5, 1, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.106853 months to decades.\nAnswer: 0.009223775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7938\/(-504) + (-4 - 44\/(-16)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 40 = -4*k, -k - 30 = 2*d + k. Let i = 10 + d. Suppose -n + 2*c + 43 = i, -5*c + 6*c + 151 = 4*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 63 and 15141777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -151, -175, -191, -193, -175?\n\"Answer: g**3 - 2*g**2 - 25*g - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*x = 10, l + 13 = 5*x + 35. Let s(f) = -9*f**2 + 3*f**2 - 6*f**l. Let k(u) = 2*u**2 + 7 - 7. What is s(k(b))?\nAnswer: -48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 4*n = 2*n + 104, 0 = 3*k + 2*n + 88. What are the prime factors of 8\/k - 117\/(-4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*d**4\/5 - 1032*d**3\/5 - 66564*d**2\/5 - 1908168*d\/5 - 20512806\/5.\nAnswer: -6*(d + 43)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 163510 less than 163511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6*(-4)\/(-8)*(-9)\/(-14). Let q = 10\/7 + m. What is the nearest to -23 in q, -2\/7, -1\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0.3, 62983 in decreasing order.\nAnswer: 62983, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -141279 and 1.\nAnswer: -141279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -6 + (-3 - (5 + -7)) - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -1. Let j(l) = -l**2 - l + 4. Let g be j(m). Suppose -g*u = -0*u - 64. Solve -3*s + 4 - u = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 1\/8, -1\/4, 2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = 2*h + 4, -i - 6580*h = -6577*h + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1301.899 * -0.252.\nAnswer: 328.078548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -9. Suppose -2*y - x = 0, -2*a + 5*y = 2*y + 9. Let z = -7 - a. Which is greater: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83 is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f. Let z(j) = 16*j. Suppose 0 = -v - 12 - 10. Let t(g) = -g**2 + 6*g - 4. Let c be t(6). Give c*z(r) + v*s(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of 2*l**7\/105 + 2*l**6\/5 + 13*l**5\/5 + 14*l**4\/3 + 21*l**2 + 46. Factor p(b).\nAnswer: 4*b*(b + 1)*(b + 4)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5259220 divided by 1198.\nAnswer: 4390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 162*r + 160*r - 27, -15 = -3*l + r. Put -4, -3, l, -10, 6 in descending order.\nAnswer: 6, l, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1109248680 divided by 339\nAnswer: 3272120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-60))\/((-3)\/24*8\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -4 - -4) + (-9 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 at least as big as 93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 73582663789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 3:42 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.03 and -0.9765866451.\nAnswer: -1.0065866451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 1:24 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -1 + (6 - (6 - -12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 365165 >= 2556150\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 20*i - 52. Let q be o(3). Suppose -q*p + 89 = 81. Solve 0 = 2*c + 3*g + p, 0*g = c + g + 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3060360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((55\/(-45))\/11)\/(3\/18)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 + 928*t - 1840.\nAnswer: -4*(t - 230)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 135184 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does -3237 = -2892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8.267 + -23.267. Let h = -2 - -2.3. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29079 + -29009 - (-1 + 0 - -2 - 4 - 0).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33658765 to the nearest integer?\nAnswer: 5802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 474155 less than -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 6 + 1)*(-3*j - 3*j + 5*j) + j - j - 2*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 14 = 5*y, -g = 25*y - 30*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1041870, 1042903, 1043936, 1044969?\n\"Answer: 1033*d + 1040837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 35 - ((-4 - -23) + 170 + -204)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 516 = -321. Calculate the remainder when q is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74620?\nAnswer: 2, 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 1, 0.2, 2\/67?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519947 is divided by 530?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100101100011111 + -100?\nAnswer: -11100101100100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(448) + -2 + -3 - sqrt(448)))*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 24 + (-2997 - -2927).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2049820066 less than 0.62729?\nAnswer: -2049820065.37271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 * 12123981\nAnswer: 12123981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*t**2 + 42*t**2 - 50*t**3 + 60*t**2 + 12*t**2.\nAnswer: -50*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24887 = -17*g - 24*g. Let t = g - -2398. What is t rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 32784 + -13712. What are the prime factors of q?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + 1)*1 - (((1*sqrt(380))\/sqrt(10))\/sqrt(2))**2.\nAnswer: -18 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + -5 + (sqrt(576) + sqrt(576) + -1*sqrt(576) - sqrt(576) - sqrt(576))\/(sqrt(2) - -5*sqrt(18)) + 2 + 0).\nAnswer: 9*sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19.97 + 0.03. Let y = -16 + i. Which is the second biggest value?  (a) 0.4  (b) 0.1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 88 = -2*b, -433*b + 88 = 2*i - 438*b. Solve i*z = 7 + 17 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 14 = 3*a. Suppose a*h - 48 = -18. Suppose -3*d + 5*c + 22 + 10 = 0, 2*c + 28 = h*d. Solve -z + 15 = d*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -9*b**3 - 7*b**2 + 15*b + 55. What is the remainder when i(-3) is divided by 151?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68 + -65. Solve -x*t + 8*t = -4*v - 37, 2*t = -10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a561 - -14?\nAnswer: 1a575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) -6\/19  (b) 7  (c) -4  (d) 1  (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-15))\/((-1)\/5). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5\/(-20) + 1865\/12*3. Let p = -445 + s. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 50076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p + 38. Let c = 58 - 64. Let i be j(c). Suppose 5*y + 5*t - 20 = 0, -3*y + 8*t - 7*t + i = 0. Solve -4*x + 3*s = -9, y*x + 5*s = x + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 7*g + 12. Let i be u(12). Suppose 4*t - i = -2*t. What is the greatest common divisor of t and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of -1\/72*x**4 + 1\/2*x**2 + 0*x**3 + 0 - 2*x + 1\/360*x**5. Let r(l) be the first derivative of a(l). Factor r(q).\nAnswer: q*(q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 24*y. Let n(v) = 1391*v. What is 117*m(l) - 2*n(l)?\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b + 3*b + b - 2*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.469 - 2.265. Let u = x - 0.266. Which is the smallest value?  (a) u  (b) 1  (c) -37\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 5:44 PM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.66 - -1.6. Let x = 0.08 + y. Which is the fourth smallest value?  (a) -2\/9  (b) x  (c) -5\/4  (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 + -9664?\nAnswer: -966c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.039934985 rounded to five decimal places?\nAnswer: 0.03993","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -5*q**3 + 8*q**2 + 11*q. What is the tens digit of x(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 8*r**2 + 8. Suppose x = 5*x - 24. Let v be g(x). Let k be -25*((-2)\/5)\/1. What is the highest common factor of k and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/8 in -11, 4\/139, 3?\nAnswer: 4\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 869161 is divided by 124165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*y + 8 = 22*y. Let o(v) = v**2 - v - 4. Let q be o(y). Suppose 5*a - 70 = -f, -2*f + 4*f - 164 = 2*a. Calculate the greatest common factor of q and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -5*j. Let q(y) = 12*y**2. Determine f(q(t)).\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36427394?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 390 is divided by 86?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of 5*n**4\/12 - 5*n**2\/2 + n. Differentiate k(v) with respect to v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the second derivative of -5*c**4\/24 + 5*c**3\/6 + c**2\/2 - 3*c. Let l(r) be the first derivative of g(r). Differentiate l(o) with respect to o.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00206801 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from iudjujuueujekjj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -15 times 127\nAnswer: -1905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-10)\/(-25)*(-15)\/804*2).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes before 4:11 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {g: 1, p: 4, u: 7, v: 1}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 - 139*s + 1087. Determine n(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - -8 - -20 - 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 458.6349ml?\nAnswer: 0.4586349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*n - 55*n = 2760. Let v = -127 + n. What is the greatest common factor of 304 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 1184*k - 4745. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11975 minus 0.2?\nAnswer: -0.08025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 1304850?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8243 and 98916?\nAnswer: 98916","meta":{"dup_signals":{},"source":"numbers__lcm_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: Solve 3*d - 21 = 2*k, 796*d + 3*k - 16 = 791*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 341 + -349 + (-3 - 22)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 200 - 175 - (15 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -39*t**3 + 5*t**2 - 19*t. Let g(w) = -20*w**3 + 3*w**2 - 10*w. Let c(o) = 5*g(o) - 3*n(o). What is the second derivative of c(v) wrt v?\nAnswer: 102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 2)\/((-9)\/45). Calculate the common denominator of ((-330)\/24)\/f*-5 and 24\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -7*r + 1. Suppose 18*s = 16*s - 8. Let l(h) = 6*h - 1. What is the remainder when g(s) is divided by l(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 0  (b) -27  (c) 0.641  (d) 1\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.26272 + -0.26272. What is the smallest value in w, 505, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/540 and -103\/6920.\nAnswer: 186840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 5133300 rounded to the nearest one hundred thousand?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2253740?\nAnswer: 2, 5, 112687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(576)\/sqrt(12) - sqrt(6)\/(sqrt(8)\/sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/(-3)*(-1)\/1. Suppose -6 = -5*z - 4*j, 3*z - j + 2 = 4*z. Let i = o + z. Which is the second smallest value?  (a) i  (b) -2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 + (-2584)\/187 - 4\/22. Let y(w) = 2*w**2 + 14*w + 9. Give y(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(0 - (-5)\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*i - 53 = 14, 0 = -2*f + 5*i + 51. Suppose -4*t = -r + 25, 4*r = 3*t + 31 + 30. Let u = r - f. Solve u = s - 5*o + 9 - 2, 3*o - 1 = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -1433*h - 22. What are the prime factors of x(-3)?\nAnswer: 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.7 - 1.4. Let q = -216\/7 - -131\/14. Let d = q + 21. Which is the third smallest value?  (a) k  (b) d  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the first derivative of -5*h**4\/4 - 3*h**3 - h**2\/2 - 23*h + 3208. Find the second derivative of j(s) wrt s.\nAnswer: -30*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 + (-1 - -1 - ((-362 - -351) + 0 + 0)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**3 + 734*g**2 + 489*g - 110. Give n(-244).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkkkvvk. Give prob of picking 1 v and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 61913762 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6688178 is divided by 4486?\nAnswer: 4038","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(-2)\/10*(-10)\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*3*((((1 + sqrt(363))*6 - sqrt(363)) + sqrt(363) - sqrt(363) - sqrt(363) - (sqrt(363) - 3*(sqrt(363) + -1))) + -3)**2.\nAnswer: -78408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 134, 121, 102, 77, 46, 9, -34?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.360865 nanometers in micrometers?\nAnswer: 0.007360865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.09, -12, -1\/4 in increasing order.\nAnswer: -12, -1\/4, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-17\/6)\/(q**(2\/9)\/q))\/(q**18*q\/(q*q\/q**(9\/2)*q)))**(-2\/57) assuming q is positive.\nAnswer: q**(406\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -13*a**3 + 2*a**2 + 2*a - 6. Let i(w) = -11*w**3 + 3*w**2 + 2*w - 6. Let z(t) = 7*i(t) - 6*l(t). Let d be z(-7). Is d at most as big as 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9444.\nAnswer: 2, 3, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*l + 4 - 88. Suppose 2*h + c = 33, 2*h + 5*c - l - 9 = 0. Let k = h - -3. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161.652 take away -30216023?\nAnswer: 30216184.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a**2 + 784*a - 17 + 2*a**3 - 3*a**4 + 790*a - 2356*a + 790*a - 3*a**3 to o*a**4 + q + z*a + s*a**2 + b*a**3 and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3  (b) -28  (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.10959 + 5.10959. Let n be 13\/(-10) + (-30)\/(-20). What is the smallest value in n, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is bdb (base 14) in base 11?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 251*y - 246*y - 20 = t, 3*t = -y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 2190132839 and -5.\nAnswer: 2190132834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -136*x + 27 = -139*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-4 + 24\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 at most as big as 2\/535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 60 = -3*m - 7*k, 4*m = 5*k + 115. Let w be 0*(1 - 4 - -4). Suppose 5*i = -w*i + m. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39398, 78719, 118036, 157349, 196658, 235963?\nAnswer: 275264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1667685631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000290421 rounded to seven dps?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2503 + 2527. Solve 30*q + m = 22*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/15786 and 47\/528.\nAnswer: 1389168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 2*c + 4. Let x(j) be the second derivative of -11*j**3\/6 - 23*j**2\/2 - 2*j - 1205. What is -34*g(k) - 6*x(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kuhkuuhhukkuhkunkj. What is prob of sequence hk?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -4 - (-3 + (1 - -14)). Let n = q + 78. List the prime factors of n.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3*(8 - 7)*(-651)\/(-1). Suppose -n*v + 1956*v = -93. Let s be 1\/(-3) - 2\/6. Put 0, v, s in decreasing order.\nAnswer: 0, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*r + 2*r + 2*r**2 + (-6863*r**2 - 6703*r**2 + 14416*r**2)*(-3 + 1 + 0)*(5 - 2 - 2).\nAnswer: -1698*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00005088661 rounded to 6 dps?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 times 5.07541\nAnswer: 15.22623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83.14253 kilometers to meters.\nAnswer: 83142.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1558681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -k**5\/60 + 19*k**4\/6 - 71*k**3\/6 + 10*k**2 + 12*k. Does 14 divide s(37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -2*s - 9. Determine w(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 2*l - 6. Suppose 13*j + 9 = 10*j. Let u(a) = -a + 2. Calculate j*x(p) - 8*u(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -69.83 - -69.8. What is the nearest to q in -62, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 7*z**2 - 6*z + 7. Let g be s(-6). Is 8 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*i - 7113 - 22182. Is i a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 13*h**2 - 14*h + 10. Let x be f(11). Let k be x\/(-34) - (-9)\/(11 - 8). Let t = -1 + 4. What is the second biggest value in k, t, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2904 and 1784024?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -585 - -587. What is the lowest common multiple of 12 and (-7 - -1)\/(-1 + (-1)\/t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 34*a. Let i(k) = -78*k + 1 - 1 + 88*k. Calculate i(v(h)).\nAnswer: 340*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b = -9*b. Suppose b = 4*y - 2*y - 28. Suppose -4*c = o - 5*c - 1, -c + y = 4*o. What is the remainder when 5 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 178.1366 decades?\nAnswer: 21376.392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/5835 - -11696\/75855. Let i = -1.55 - -0.15. Let r = 0.6 - i. Which is the closest to -1?  (a) 0.4  (b) x  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 5*k**2 + 3*k - 5. Give x(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 6:17 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rry when three letters picked without replacement from {y: 1, b: 8, d: 2, r: 2}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 88*d**2 - 8*d - 26. Let w(h) = -109*h**2 + 7*h + 26. Determine 4*w(u) + 5*x(u).\nAnswer: 4*u**2 - 12*u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.7 or -2\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -582, -565, -548, -531, -514, -497?\n\"Answer: 17*z - 599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56948, -113888, -170828, -227768, -284708?\nAnswer: -341648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1101875?\nAnswer: 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22 by -14280.\nAnswer: -11\/7140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -141*v - 99*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 24*l**2 + 15*l + 52. List the prime factors of z(-25).\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 315 and -0.1.\nAnswer: 314.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 + 7*q + 11. Let a be b(-6). Let o(v) = a - 5 + 1 + v. Determine o(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.141 + 3.141. Which is the nearest to 2?  (a) -3  (b) -5  (c) n  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*o**5 - 2492*o**4 - o + 7100.\nAnswer: 60*o**3 - 29904*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 392 is divided by 82.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 392*o = 413*o - 273 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 2*m**3 + 6*m - m**2 - 4*m**3 - 5*m**2 + 10*m**2 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 1\/4, -0.3, 0.04545?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -178\/21*n**2 + 20\/7*n - 2\/7*n**3 + 0.\nAnswer: -2*n*(n + 30)*(3*n - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -576838267*n**4 - 349676097.\nAnswer: -2307353068*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.46948656 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -421*p*q + 78*p + 965*q - 16 wrt p?\nAnswer: -421*q + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 6\/7*o**3 - 8\/7 - 16\/7*o - 2\/7*o**2 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1746242\/187 less than 9339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2\/13  (b) 0  (c) -1  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*l + 111 = 5*y, 1078443*y - 2*l = 1078441*y - 26 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**3 + 17*h**2 + 27*h + 45. Let f be t(22). What is f rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 9:26 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11)\/(-4) + (-1)\/(-4). Suppose 3*s - 12 = 4*j, -4*s + 2*s = -n*j - 8. Suppose 4*r = 3*k - j*k - 81, 0 = -3*k + 2*r + 87. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -290*y + 35286 - 37896 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 48539 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * -2672.3.\nAnswer: -2672.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - 3*i**2 - 2*i - 4. Let z(w) = -w**2 + 8*w - 6. Let m(j) = 1. Let y(n) = 4*m(n) + z(n). Let s be y(5). Suppose 5*c + 2 = -s. What is g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -2073, -3370, -6895, -13764, -25093?\n\"Answer: -186*v**3 + 2*v**2 - v - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 9, z: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**3 + 0*s**3 - 6*s**3 + (1 - 1 - s)*(0 + 0 + 2*s**2) + 2*s**2 - 2*s**2 + 3*s**3 + 19*s**3 + 242 - 242.\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 2:35 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 35 - d**3 + 7*d - 63 + 3*d**2 + 36. Let u be w(4). Suppose u*j - 7*j - 559 = 0. What are the prime factors of j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.125*0.315303\nAnswer: -0.039412875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**2\/17 - 80702398*q\/17 - 242107176\/17 = 0. Calculate q.\nAnswer: -40351196, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that t**2\/4 - 1 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16874876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.50004 - -0.20004. Let k = -0.9 - -1. Let o = 0 - k. What is the third smallest value in o, g, 2\/5, -1\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 213516630 by -9.\nAnswer: -23724070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(6\/(-4) + 1). Let v(s) = 2*s + 1098. Let c be v(0). Let k be (c\/24)\/3 + 1\/(-4). Solve o*u + 5 = -k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 2. Let m(u) = -323*u - 2259. Let b be m(-7). Solve -15\/2*p**3 + 9\/2*p**5 + 0*p + k - 6*p**4 + 3*p**b = 0 for p.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 2*f - 6. Suppose 4 = -f*w + 3*w. Suppose -2*z = 5 - 15. Solve w*b = z*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 1952*f - 17537. Give l(9).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6245 + 6244.99948525. What is k rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttttttttt. What is prob of picking 3 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -32.5, 2\/7, -5\/4, 1.83, -5, 4?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -2*t**2 - 12446220*t - 19363549036050 = 0.\nAnswer: -3111555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12549499.\nAnswer: 53, 236783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 26484 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: Round 0.2586861037 to 3 decimal places.\nAnswer: 0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 76 = -5*i, -118 = -2*j - 3*j + 4*i. Calculate the highest common factor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a + 0*a - 4*a)*(-14 + 9 + 6)*(-54*a + 12*a - 22*a) as l*a**2 + y + f*a and give l.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4994 or 4992?\nAnswer: 4992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*v**5 + 22*v**4 - 28*v**3 + 8*v**2.\nAnswer: -v**2*(v - 2)**2*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 582 minutes before 10:48 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05142938872 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 24. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 235, 477, 705, 907, 1071, 1185, 1237, 1215?\n\"Answer: -2*o**3 + 5*o**2 + 241*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*k + 2872 = 2596 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - -33.890202982.\nAnswer: 31.890202982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5\/4  (b) -3  (c) -0.5  (d) 69  (e) 0.019\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.4  (b) -4\/17  (c) 0.97  (d) 5\/4  (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -11.42 - 0.015\nAnswer: -11.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*a - 322 = -162*a + 166 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 41 - 3. Suppose 0 = -2*f + 22 + 18. What is the remainder when q is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -485, -3686, -12313, -29078, -56693, -97870?\nAnswer: -155321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -63007\/5 - -12601. Which is the nearest to i?  (a) -0.2  (b) -1\/3  (c) -13  (d) -1\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 408\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -72635.27 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.02?  (a) 4  (b) -4  (c) -3  (d) -5  (e) 15\/1036\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 37230199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 5*y**2 - 80*y + 5. Let j(d) = 6*d**2 - 81*d + 6. What is 4*i(g) - 3*j(g)?\nAnswer: 2*g**2 - 77*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 564503247?\nAnswer: 3, 7, 11, 814579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -732298, -732299, -732300?\nAnswer: -732301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/1492726 and 97\/2.\nAnswer: 1492726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(133)\/((sqrt(7) + sqrt(28))*-3)*3)**2.\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -33 + (14 - (31 + (-17 - (-12 - 7)))).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*z + 399 - 34 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*j**2*l - 4*j**2 + 2*j - 11*l wrt l?\nAnswer: -2*j**2 - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 11) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:44 AM and 7:39 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 419691287 to the power of 1\/2, to the nearest integer?\nAnswer: 20486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = d, -3*l - 4*d = -9. Suppose -r - s + l = -3, 10 = 5*r + s. List the prime factors of 20\/((r\/10)\/((-1)\/(-2))).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 0*s - 15 = 0. Let o be -4*(1 + s\/6). Let n be 24\/o*(-3)\/12. Which is the smallest value?  (a) -1\/4  (b) -4  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1107.3639 rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 89153 to the nearest one hundred.\nAnswer: 89200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 7:58 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4768 + 7030. List the prime factors of p.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/5 of a litre in millilitres?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34321253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1018.382 + -1017. Let d = v + -0.042. What is d rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (15\/(-4) - 9\/(-12)) + -2. Let f be 4\/(-20) + (-6)\/a. Let t be -1050*f\/(-3)*20. What is t rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -10. Let s be (-6)\/(-4)*256\/o. What is the greatest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 8:28 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*l = 43*l - 61*l + 1147 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*d**5*g**2 - 183*d**3*g**3 + 2*d**2 - 2*d*g**3 - 27*g wrt d.\nAnswer: -360*d**2*g**2 - 1098*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7811 + 797 = -14*x. Suppose -20*c + 99 + x = 0. What is the highest common divisor of c and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 64, 68, 72, 76?\n\"Answer: 4*v + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 12:15 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 337242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 4*o**2 - 4*o + 3. Suppose -7*q + 8 = -3*q. Calculate b(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -7  (c) -5  (d) 10  (e) 0.3  (f) 0.282\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2089 - 26013 + 486)*(0*v - v + 3*v) in the form a + h*v and give h.\nAnswer: -46876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27160, -216357, -729828, -1729711, -3378144, -5837265, -9269212?\nAnswer: -13836123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.0852512065 from 3.\nAnswer: 3.0852512065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11.7 + 2.7. Let j = -1 - g. Sort 2\/3, -3, j in increasing order.\nAnswer: -3, 2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -602988083.0132 + 602765042. Let b = n - -223086. Let c = b - 45. What is c rounded to three decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 825 = -330*c + 385*c for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5522276063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -14) + -10 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -433943 and -33730374.\nAnswer: -34164317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -479*z**2 + 901*z**2 - 423*z**2 - 96*z + (4 - 1 - 1)*(7*z**2 - 3*z**2 + 0*z**2) to s + o*z + q*z**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -35, 5, -2, 4 in descending order.\nAnswer: 5, 4, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4831835 divided by -966367?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:39 AM and 2:10 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 827292.867 to the nearest ten thousand.\nAnswer: 830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0021030075 to six decimal places.\nAnswer: -0.002103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 713 and -4.\nAnswer: -2852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -7  (b) -1250  (c) 0.3  (d) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*m**4 - 39*m**4 + 14*m**4 + 3*m**2 wrt m?\nAnswer: -408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**8\/z*z**(-10\/7)*z**(5\/6)\/(z\/z**10) assuming z is positive.\nAnswer: z**(689\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-23 - -11) + 10 + 0 - 53.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 666*p**2 - 2666*p + 19. Calculate z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**3 - 410*r**2 + 8505*r - 8100.\nAnswer: 5*(r - 45)*(r - 36)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*k + v - 30 = 139*k, k + 5*v = -6 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 4, j: 1, i: 2, t: 2}. What is prob of picking 1 j, 1 t, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 1956*u - 984*u - 966*u. What is q(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2671017.\nAnswer: 3, 181, 4919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of o**4\/114 - o**3\/19 - 10*o**2\/19 - 4*o - 1274. Suppose a(s) = 0. Calculate s.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0003599525 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 4*v**2 + 12*v - 88. Let l be h(5). Let f(p) = -5*p**2 + 2*p - 2. Let a(r) = -r**2 - 1. Let u(k) = 6*a(k) - f(k). What is u(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjs when three letters picked without replacement from {j: 9, s: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*2\/14*(-28)\/28*(-566)\/5943.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-104)\/(-13) - (5 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 4*x**2 - 73*x + 60. What is y(11)?\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*d = -69 + 21. Let x(i) be the second derivative of 0 - 1\/3*i**3 - 3*i + 1\/2*i**d. Determine x(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -20*j + 4. Let x(b) = 20*b - 3. Let k(p) = -3*c(p) - 4*x(p). Let l(d) = -d. Give k(t) - 16*l(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - b + 63 = 0, 5*s = -b + 22 + 56. Suppose -d + 6*d - 123 = -2*a, 5*a + 3 = -d. What is the greatest common factor of s and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -3*y - 1. Let b be ((-9)\/1 - 0) + 2. Let w = b - -3. Let p be m(w). What is the highest common factor of p and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 + 8. Suppose -107 = -k - 3*k + z, -o*z - 59 = -3*k. Calculate the remainder when k is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qyq. Give prob of sequence yq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63785, 56185, 48585, 40985, 33385, 25785?\nAnswer: 18185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, -11, -27, -61, -119, -207?\nAnswer: -331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -524*w**2 + 258*w**2 + 264*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -21548.\nAnswer: 1\/10774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/k**1)**(-1\/69)\/((k*k*k**1*k*k)\/k*k*k**(-3\/8)) assuming k is positive.\nAnswer: k**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bodhhodb. Give prob of picking 2 h and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 136 = -2*l, l = -u - 3*l + 68. Let n = u + -43. Suppose n*t = 28*t - 306. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**3\/3 - 15*p**2\/2 + 4*p + 2. What is the remainder when 26 is divided by s(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -j**4\/12 + j**3\/3 - 7*j**2. Differentiate l(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103 - 56 = -3*d + u, -5*u = 2*d - 123. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*h = -6*h - 4*r + 13, 0 = h - r + 3. Put 2, h, 4, 25 in descending order.\nAnswer: 25, 4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39765 and 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -521*m**2 + 212*m**2 + 4*m - 337*m**2 - 4*m.\nAnswer: -646*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1865133 is divided by 8924.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that -12*a**5 + 3192940*a**4 - 212342475092*a**3 - 6727223012140*a**2 - 10480614617200*a + 4248871926000 = 0.\nAnswer: -30, -2, 1\/3, 133055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10674921 is divided by 3558306.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -14*d**2. Let b(s) = 25*s + 3. Let f(c) = -4*c + 3. Let o(v) = -b(v) + f(v). Calculate y(o(q)).\nAnswer: -11774*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -33*x**5 - 12 - 3*x - 6*x**4 - 6*x**2 + 31*x + 6. Let u(k) = -k**4 - k**2 - 1. Let f(r) = d(r) - 6*u(r). What is the second derivative of f(c) wrt c?\nAnswer: -660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 3:00 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 281819853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 3*h - 20. Let z be (-538)\/h - (-4)\/(-10). List the prime factors of (z\/(-30))\/((-3)\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 + 15*i**2 + 24*i + 2. Calculate p(-13).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12308215 is divided by 202?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/156 and -149\/12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-3) - 10\/6. What is the nearest to -2 in x, -0.5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1831, 3754, 5671, 7582, 9487, 11386?\nAnswer: 13279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of 2*j**3\/39 + 12*j**2\/13 - 170*j\/13 - 10054. Factor s(y).\nAnswer: 2*(y - 5)*(y + 17)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -8*q + 31. Let h be 4\/((-28)\/(-7))*q. Solve 5*m + 8 = -2*y - 6, -12 = h*y + 3*m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/2 and -41\/15988.\nAnswer: 15988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + 153\/(-6) - (-25)\/(-10)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.2  (b) 8  (c) 0.62  (d) 1\/9  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 3*d + 3. Let s(r) = -r**3 - 6*r**2 - 9*r + 4. Let b be s(d). Let -1 - 8*n**b - 43*n**2 + 36*n**3 - n**2 + 17 = 0. Calculate n.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*((-10)\/2 - (-374)\/74)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 7*s. Let y(i) = 55*i. Determine f(y(h)).\nAnswer: 385*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 976945.3cm?\nAnswer: 9769.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 - 4*a**2 + 1266*a + 7503. What is x(-6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16392 and 75936.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 52 in 131, 0.5, 2\/3, 25\/3, -2\/7?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5*f = 11, 3*f = 5*s - 5 - 6. Let a = -16 - -17. What is the greatest common divisor of s and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 4*b - 20 = 0, 4*u = 5*b - 1 - 24. Let m(g) be the second derivative of 2\/3*g**3 + u*g**2 + 0 + 5*g + 1\/6*g**4. Factor m(o).\nAnswer: 2*o*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -662, -1463, -2394, -3449, -4622, -5907?\nAnswer: -7298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 74, 148, 220, 290, 358?\n\"Answer: -g**2 + 77*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1003.85 and -1783931.\nAnswer: -1784934.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (23 - (-1392)\/(-60))*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -264*(-1)\/(-4)*4\/(24\/(-3)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -694 or -691?\nAnswer: -694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4402 times -1.2?\nAnswer: 5282.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dkyyddyyyykyykydykd. What is prob of picking 1 k and 3 d?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27802*n**2 - 5991*n.\nAnswer: -55604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**3\/2 + 172017*w**2 - 344032*w.\nAnswer: -w*(w - 344032)*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3184024 centimeters in nanometers?\nAnswer: 3184024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 73404811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = x + 4*w + 27, 5*w + 39 = 17196*x - 17199*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide ((-1 - 172) + -6)\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 468, 482, 496, 510?\n\"Answer: 14*a + 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/17206 and -63\/8.\nAnswer: 68824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1176 and -0.095895674?\nAnswer: 1176.095895674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7 + 2. Let j = q + 4.8. Is -1\/5 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*v - 3*v = -14, -4*w - 3*v = -47. Calculate the greatest common divisor of w and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4139 + -4131. Calculate the remainder when 15 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 125\/37158 and 35\/37158.\nAnswer: 37158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2a471 - -7?\nAnswer: 2a478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ecba when four letters picked without replacement from aceccebbzbbbbcbcb?\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/9, -0.03, 1 in decreasing order.\nAnswer: 1, -0.03, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6938*-1.8.\nAnswer: -12488.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5285*l**3 - 213*l**2 + 51*l wrt l.\nAnswer: 31710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*l**5\/11 - 158*l**4\/11 - 414*l**3\/11 - 386*l**2\/11 - 72*l\/11 + 40\/11 = 0 for l.\nAnswer: -5, -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 39723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -d + 6. Let n = -100 + 103. Find the second derivative of d*x - n*x - 4*x**4 + 5*x + 0*x wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -4*x + 5*x. Suppose -3*l = x*n + 680673 + 139312, -5*n = -3*l + 2050015. Round n to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z - 3*z + 2 + 3*z + 2*z to the form y + t*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27 + 23. What is the closest to -0.3 in -5, 5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 2 e when four letters picked without replacement from {x: 7, e: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 - -2.5. Let q be (-4)\/10 - 141\/(-15). Let u be q\/(-12) - 14\/24. Put 3, u, w in descending order.\nAnswer: 3, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0130646 to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1057.\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20 - (0 + 0 + -2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 196927, 393854, 590781?\n\"Answer: 196927*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 6*q**2 - 180*q + 342. Let a be c(28). Let y(p) = 8*p**2 - p - 9. Let o(d) = -17*d**2 + 2*d + 19. Calculate a*o(j) + 13*y(j).\nAnswer: 2*j**2 - j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -111355\/48 - -2322. Find the common denominator of n and ((-74)\/(-12) - 4)*(-6)\/9.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6839, -6872, -6905, -6938, -6971, -7004?\n\"Answer: -33*l - 6806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 135535525 to the nearest integer?\nAnswer: 11642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/690 and -49\/2202?\nAnswer: 253230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, 0.128, -2\/13, 5, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26585 is divided by 1155?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-20 - -27) + (-13 - 0 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 2) + 49 + -28 + -35?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 5*a**2 + 4. Let o be m(5). Let f(q) = q**2 - 2*q - 3. Let u be f(o). Factor -h**4 - 1\/2*h**u + h**2 + 1\/2*h + 0*h**3 + 0.\nAnswer: -h*(h - 1)*(h + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 1:52 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ytnsnsynhns. What is prob of picking 1 y and 1 t?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 530 = 57*x - 3072 + 752. Solve 49 - x = -m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001849262 to seven dps.\nAnswer: -0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-135*i**3 + 135*i**3 - 14*i**5 + 2*i)*(0 + 2 - 3) + 2*i**5 + i**5 - 2*i**5 + 4*i**4 + 2*i**5 - 4*i**4)*(-142 - 528 + 180)*(-3 + 3 + 1).\nAnswer: -8330*i**5 + 980*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - f - 4 + (-3 - f + 3)*(3 + 3 - 4) - 2*f + 3*f + 0*f)*(26 - 10 + 47).\nAnswer: -126*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 193*m - 804 + 804 + (-3 + 2 - 2)*(0 - m + 0).\nAnswer: 196*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b**3 - 202*b**2 + 3718*b - 19118 = 0.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 320 and 20205920?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -128 - -129. Sort -1, b, -5 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjtqttmmqttmjt. Give prob of sequence qt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -2*i + 58. What is n(0)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*b + 71*b - 279240 = -50*b. Calculate the highest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -39 - -41. Suppose -4*t = 4*f - 12, -5*f + 17 = -2*t + n. Solve f*b = -5*q - 2, -2*q - q - 8 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rruz when four letters picked without replacement from rzrzzzupumuz?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/166, 0.1, -3 in ascending order.\nAnswer: -3, 7\/166, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -17 - -16. Let i = -3 - s. Let l = 0.046 - -0.954. Which is the nearest to l?  (a) -15  (b) -0.3  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 - 0. Suppose -10 = c*l - 22, -3*y = 5*l - 6. Let n(r) = -r + 1. Let d be n(y). Solve -2*u + 6 = -u + d*t, 3*t = u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/(50\/(-6))*230\/184.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a26ca (base 15) to base 13.\nAnswer: 357ac6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9863)\/780 + 2\/(-5). Let v = g - -63\/52. What is the common denominator of 46\/11 and v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12692 divided by -4.\nAnswer: -3173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(11\/5)\/(m\/(m**(-2\/33)\/m)) assuming m is positive.\nAnswer: m**(23\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/(s\/s**(-2\/5))*s*s*s**(-4)\/s)\/(s**6)**(1\/38))**(1\/51) assuming s is positive.\nAnswer: s**(-81\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2 - 300*s - 1136.\nAnswer: -4*(s + 4)*(s + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1673 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -54975 divided by -733\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 - -4 - (-87 - -121)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwnaz. What is prob of sequence xa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*i**3*k**2 + 41*i**3 - 141*i**2*k**2 - 2*i*k**2 wrt i?\nAnswer: -12*k**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 7. Let v = -3 + 3. Suppose v = -29*d + 25*d + 32. Sort z, 0.2, d in descending order.\nAnswer: d, z, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.006  (b) 966  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 176421520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*y = 0. Let x = 0.06 - 95.06. Let g = 90 + x. Which is the nearest to 0?  (a) 0.4  (b) g  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 22*x - 304. Suppose 106 = 5*b + 2*j, 7*j - 2*j = -10. What is the least common multiple of k(14) and b?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 5) in base 13?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10558700 divided by 24844.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -b**2*c - b**2 + 299723*b*f - 14*c*f + 875*c - f + 34 wrt b?\nAnswer: -2*b*c - 2*b + 299723*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 u when two letters picked without replacement from xbuaauuvuuuxvuvtuvb.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -3*y**2 - 2993388*y + 2993391 = 0.\nAnswer: -997797, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2.389414um?\nAnswer: 0.0002389414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of -j**5\/12 - 28*j**2. Let m(z) = -2*z**2. Calculate h(m(r)).\nAnswer: -20*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 529511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 134\/(-6)*(-10 + 1). Let t be (1 + 30)\/((-3)\/(-12)). Let n = r - t. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 303947 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**3 + 612285*f**2 - 18784076040*f + 2412967507920.\nAnswer: -5*(f - 61164)**2*(f - 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*(-2)\/(-6)*(-270)\/(-60). Solve d = i*y - 2*y - 2, 0 = 3*d + 2*y - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35213 (base 6) in base 15?\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3695581 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1040 divided by -130.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10.06 + -0.16. Let k = 0.5631 + -0.4631. Which is smaller: k or x?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -11*q + 24*q - 15*q. Let u(d) = 5244 - 3*d + 0*d - 5227. Calculate u(w(x)).\nAnswer: 6*x + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -282100 rounded to the nearest 1000?\nAnswer: -282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*m - 61 + 621 = -16*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 23382*v - 70178. Give c(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -40*j - 3. Is y(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -8*o + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 + 20*q + 91. Let h(c) = -3*c**2 - 60*c - 271. Let s(d) = 17*f(d) + 6*h(d). Let y be s(-14). Let v(l) = -2*l - 4. Calculate v(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**2 + 150808*s - 1658404.\nAnswer: -4*(s - 37691)*(s - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -160704 not equal to -160704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d*d*(d\/(d\/d**(-2)))\/d)\/(d\/(d*d**(1\/11))))\/(d**(-2\/3))**(-33))**(-37))**(-7\/3) assuming d is positive.\nAnswer: d**(-21756\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 119?  (a) 0.1  (b) -1\/3  (c) -2  (d) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z + 9. Let x be h(6). Which is bigger: x or 26\/7?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2. Let d be m(0). Suppose -5*l - 5*v + 40 = d, -6 = 3*l - 2*v - 20. Let r be (-312)\/36 + 4\/l. Which is bigger: r or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4\/7, -2\/3, -128\/27, 3, 2, 8\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = l - 4*r, 5*l - r + 3 = -2. Is 2\/(-3) - (5924\/(-12) - l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + 10*s**2 - 8*s - 7. Let k be p(9). Suppose k*a = 60 + 194. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 27*o**2 + 4*o - 26. Let j be z(6). Calculate the highest common divisor of 30 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 152.5961 millilitres?\nAnswer: 0.1525961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 18924.63 decades to years.\nAnswer: 189246.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/60 - (-3)\/5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3013.8*21.63\nAnswer: 65188.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 93.59 - -1.41. Let j = -91 + o. Is j >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/(-390)*290 + 80\/(-30)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -122*g**3 - 65393*g - 57174887.\nAnswer: -366*g**2 - 65393","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2401 + 16*y + 18*y + 4275 + 7144.\nAnswer: 34*y + 9018","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27993 is divided by 6250?\nAnswer: 2993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1875637\/75 + -25008. What is the common denominator of (56\/(-1078))\/(201\/(-469)) and c?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 20\/89 - 318\/623. Sort 5, 39, p, 25 in increasing order.\nAnswer: p, 5, 25, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6292203383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(320))\/(3*sqrt(196) - sqrt(196)) + -4 + sqrt(180)*-2 + 1 + sqrt(180).\nAnswer: -44*sqrt(5)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 576875427 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23\/115 - (-32)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-388)\/(-44) + (-4)\/(-22). Let p(x) = x**3 - 8*x**2 - 7*x - 8. Let k be p(v). What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -353027048 divided by 4?\nAnswer: -88256762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 268861 times -3\nAnswer: -806583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 6058, 12110, 18162, 24214?\n\"Answer: 6052*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 29 - ((-4 - -6) + -1*3). Suppose 24*z = 21*z + n. Calculate the smallest common multiple of z and (-14)\/(-10) + (-2)\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20701917.\nAnswer: 3, 191, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -5377721 (base 8) in base 7?\nAnswer: -15153224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 9)*(0*u - 4*u + 2*u)*(-2*u**2 + 0 + 0 - u**2 - 20*u**2 + 4*u**2 + (3*u - 4*u - u)*(0 + u + 0)).\nAnswer: -252*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.748 + 0.78. Let k = v - 0.032. Let i = 103\/247 + -5\/19. Sort i, -0.1, k.\nAnswer: -0.1, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3563746 - 3563746 - 16*k**2.\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -819760\/8897 - 5\/1271. Let w = -92 - z. What is the second smallest value in 2, w, 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*-3868\nAnswer: -15472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7195*i - 7191*i - 44 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24403073\/17 - -1431587. Let z = 3889 + w. What is the common denominator of z and -4 - (295\/30 + 4)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-226*m**2 + 162*m**2 + 142*m**2)*(8*m**2 + 65 - 65) + 3*m**4 - m**4 + 0*m**4 in the form q*m**3 + b*m**2 + o*m + l + w*m**4 and give w.\nAnswer: 626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*f - 65*f - 5*x - 32 = 0, 5*f = 3*x + 72. Solve -3*i + 9*i = -f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 4, w: 3}. Give prob of sequence ddd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3 - 2) + (-30)\/12. Suppose 0 = -3*d - 12 + 3. Do b and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2034*x + 42 = -2031*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 + 5*q + 3. Let d be j(4). Suppose u - d = 5. Suppose 3*x - 35 = -z + 1, 4*z = u. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c - 1. Let b be a(-3). Let l = -20 - -127. Let f = l - 105. Are f and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15730355441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -m*n**2 - 836347*m*n - 2231099*m with respect to n.\nAnswer: -2*m*n - 836347*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4*-17.7\nAnswer: -70.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 85428?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -3607\/3  (b) -2  (c) 0.8  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*r**3 + 2 - 31*r - 3*r + 2*r**2 + 79*r**3 + 74*r**3 - 237*r**3 in the form q*r + h*r**2 + x + g*r**3 and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1352*r**3 + 47449532*r**2 - 18249895*r\/2 + 438700.\nAnswer: (r + 35096)*(52*r - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 0 - 2)*(2*q + q - 2*q) + 3*q + 7*q + 5*q + 2 - 2 + 2*q to the form t + c*q and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3, -32, -83, -156?\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r**5 - 112846*r**4 - 3612236*r**3 + 15803064*r**2 - 16254432*r = 0. What is r?\nAnswer: -36, 0, 2, 112878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 + 4247*p**2 - 25448*p + 28. Determine z(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6396)\/5166 + (-4)\/(-7). What is the third smallest value in 1\/12, z, 0?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 13*x = 0. Suppose -908*b + 909*b - 1002 = x. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 15219\/30434 + -1\/15217. Suppose 2*d = -d - 174. Put 0.3, p, d in decreasing order.\nAnswer: p, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -376 in -19\/4, 3, -0.12, 1, 0.4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (9 - (1 + 1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ixxpv. What is prob of sequence vix?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 9*h**2 - 11*h - 11. Let t be q(-10). Let m be (-10)\/(-40) + t\/(-28). Which is bigger: 2\/5 or m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -455 = 10*a - 15*a. Let u = a - 81. Let i = u + -7. What is the second biggest value in -2, -5, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from mnmmmmmmmmmomjoymmmo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10.14 + -1.66. Let y = 11.5 + g. Let l be 2 - 2 - 25\/30. Sort l, -0.1, y.\nAnswer: l, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 390967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(65) - -1*(sqrt(65) - sqrt(65)*-2 - sqrt(65))) + sqrt(65) + sqrt(65) - sqrt(65))\/(sqrt(30)\/sqrt(6)*-3))**2 + -3)*-4 + -4.\nAnswer: -760\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -8*j - 2 + 4 + 0*j - 32*j. Let u be a(3). Is -15*(-1)\/(-6)*u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3664244 take away 4.43?\nAnswer: 3664239.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = s - 4 + 3, 5*l - 15 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 57181.90558 to the nearest ten.\nAnswer: 57180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.5 and 37985349041.\nAnswer: 37985349040.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-4 - (-2 - 2 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve t = -3*q + 3, 2*t = -3*q + 9 - 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 3*k**3 + 6*k**2 + 3*k - 2. Let u = -4 - -11. Let w(v) = 10*v**3 + 19*v**2 + 10*v - 6. Let d(x) = u*p(x) - 2*w(x). Give d(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -52*g - 409. Let q be j(-8). Solve 0 = -0*b - q*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2146201941 to the nearest integer?\nAnswer: 46327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-232))\/((2\/21)\/((-560)\/(-490))).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/70083 and -5\/163.\nAnswer: 11423529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - g)*(-2*g - 2*g - 4*g)*(16*g**2 + 5*g**3 - 16*g**2) + (-2*g**3 + 10*g**3 - 5*g**3)*(0*g**2 - 3*g**2 + 5*g**2).\nAnswer: 46*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -11376, -22730, -34088, -45450?\n\"Answer: -2*h**2 - 11348*h - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3048511165 to the nearest integer?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 28 = -3. Put 3, d, 0 in descending order.\nAnswer: d, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57 = -11*h - 34 + 25 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(84)\/(2*sqrt(432)) + -5).\nAnswer: -25 + 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 21\/4 - ((-1)\/(-4))\/1. Solve -5 = n*v - 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 39*n**2 + 9466*n + 369169. Determine h(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 - 2*q - 4. Determine k(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(343) + -1 + (4 + 5*sqrt(847))**2.\nAnswer: 447*sqrt(7) + 21188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 2*p + 25. Sort p, 3, 5 in ascending order.\nAnswer: p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 16982, 15880, 14778?\n\"Answer: -1102*o + 18084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/1314 and -101\/10.\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/(-60) - 6\/((-90)\/(-73)). Let d be o\/2*36\/(-18). Solve a + 6*y + 7 = 3*y, d*a + 9 = -2*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -30585*q**5 + 9*q**2 - 219 wrt q.\nAnswer: -1835100*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 5*b + 3 = 1, -2*i + 3*b = 69. Let z = 51 + i. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*b - 4*b + 0*b)*(5*b - 1 + 1)*(-2*b + 18*b - 7*b).\nAnswer: 45*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1581220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*b*m**2*v + b*m**2*w + 8*b*v*w + 7*b + 13*m**2*v*w - m*v wrt m.\nAnswer: 6*b*v + 2*b*w + 26*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7021465807?\nAnswer: 31, 1709, 132533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 648\/7*b**2 + 90*b**3 - 417\/7*b - 180\/7 - 636\/7*b**4 - 45\/7*b**5 = 0.\nAnswer: -15, -4\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/t**(3\/10))\/t*t*t**(-2\/9))**(-20))**(2\/45) assuming t is positive.\nAnswer: t**(-172\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -24  (b) -5  (c) -2\/121  (d) 0.2  (e) -1  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1423109 divided by 38.\nAnswer: -1423109\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 204*u**2 + u - 8. Let t(i) = 202*i**2 - 12. What is 2*t(b) - 3*x(b)?\nAnswer: -208*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -31.25 + 36. Let g = -4.7499781 + r. Round g to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4484c (base 13) to base 11\nAnswer: 85555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**3 + 153141 - 153143 - 4*f**4 + 65*f + 3*f**4 to u*f**2 + l + q*f**4 + x*f**3 + y*f and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-2*sqrt(72)\/sqrt(4) - (-2*sqrt(18)*-1 - sqrt(18)))\/(6*((4*sqrt(81) - sqrt(81) - sqrt(81)) + sqrt(81) - sqrt(81))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36128097*r**2 + 5439*r - 56?\nAnswer: -72256194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1991815 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 275, 15, -7 in descending order.\nAnswer: 275, 15, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j**(-4)*j*j)\/j*j*j*j**(2\/3)\/j*j)\/((j\/((j**(-2\/19)\/j)\/j))\/(j**3\/j)))**(3\/10) assuming j is positive.\nAnswer: j**(-5\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.07?  (a) -0.2  (b) -5  (c) -2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 13 = -h + 3*p, -5 = h + p. Suppose 3*a + a - 100 = h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 83220 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4\/21  (b) 5  (c) -2  (d) -1  (e) -0.212  (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 169851 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 19316992561 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of w**2 - w**2 + 5*w**2 - 11*w**2 + 8*w**6 wrt w?\nAnswer: 960*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 2 - (-3 - 1). Let x = -3 + n. Suppose -4*a - 20 = -2*s, -4*s - a = -x*a - 30. What is the lowest common multiple of 3 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4459 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2.8, -5, 1.512?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 3*s + 8. Let y(c) = 2*c + 7. Let i(k) = -3*p(k) + 4*y(k). Let m be i(3). Suppose d - 19 = -m. Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -20*f - 58. Let u be s(-13). Let m = -177 + u. Solve m = 5*z + x, 3*z - 1 = 4*z - x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -4) + -69 + 49.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 12 + 4. Suppose -o = -2*l + 3, -l + p = 2*l - o. What is the remainder when 3 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*x + 3*w - 14, 4*x - 249*w = -250*w - 42 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 849905162 to the power of 1\/2, to the nearest integer?\nAnswer: 29153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 231000 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -4.5. Which is the smallest value?  (a) -2\/5  (b) t  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 - 5*x**2 - 4*x - 11. Let d be i(6). Solve 5*y - 16 - d = 2*g, 2*y = 2*g + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 521420 (base 6) to base 7.\nAnswer: 232665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c - c + 0*c - 2)*(0 + 0 - c).\nAnswer: 3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 9664566.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 28*i - 11*i - 6*i - 9*i. Let c(r) = -11*r**2. Let q(p) = 5*p**2. Let n(b) = 4*c(b) + 9*q(b). Give h(n(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*m**3 - 2010*m**2 - 2*m - 3411?\nAnswer: 6*m**2 - 4020*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/(-36)*(-274 + 6). Solve c*z - 5 = 136*z - m, -2*m = 4*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5376\/(-215040) - (-3039)\/(-40)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -15. Let w be 21\/6 - ((-1)\/(-2) + m). Solve 9*a + w = 8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12692 - 20174 = 2194*c + 18172 + 7256 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s - 2 + 22 + 13*s**2 - 8 - 5*s**2 - 10. Let x(h) = -4*h**2 - h - 1. Give 5*x(j) + 2*y(j).\nAnswer: -4*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-159)\/(-106))\/((-2)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -0*n - 4*n. Suppose -4*r + n*k = -23, -4*r + 5*k + 25 = 2*k. Let g(h) = -5*h**2 + 7*h - 9. Let f(a) = 2*a**2 - 3*a + 4. Determine r*f(t) + 3*g(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 110 and 264.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9239987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 82357221 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m**2 + 139*m - 832. Give z(-75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 11:48 AM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-4)\/22 - 8\/(-44))\/(-2). What are the prime factors of 2 + 0 + 0 + 90 + m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12 + 20. Let b be (9\/(-12))\/((-1)\/(-4)). Let m = b - -5. Solve 3*g + v = -m*h, g = 5*g + 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*1)\/((6*13\/351)\/2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 3*h - 1. Let x = -3 + 5. Let m be u(x). Suppose 7 = -m*l - 3. Which is smaller: -3 or l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -5*l + 15. Let j be ((-5)\/10)\/(1\/20). Let s = -16580 - -16579. Which is the closest to -2?  (a) l  (b) j  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4453260 rounded to the nearest 10000?\nAnswer: 4450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2079 is divided by 104.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-1*sqrt(500) + 3))**2 - (-3 + 2*(sqrt(500) + 0)).\nAnswer: -1520*sqrt(5) + 12728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9469 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: Let k = -73.096 - -0.096. Let g = 73.2 + k. Which is the third smallest value?  (a) -2  (b) 54  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4868 less than -0.3?\nAnswer: -4868.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z. Let o(j) = 2*j. Let f(p) = 2*m(p) - 11*o(p). Let h be (5\/(-2) - -4)*(-8)\/3. Let v(s) = -3*s - 1. Determine h*f(w) + 3*v(w).\nAnswer: -w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 2*a + 8 = 6*h, 3*h - a = 16. Suppose 3*v + 14 - h = 5*r, -4*v + r = 36. Let o = -10 - v. Sort 0.08, o, -1\/3 in increasing order.\nAnswer: -1\/3, o, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1194723949 to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1701, -3147, -4595, -6045, -7497, -8951?\n\"Answer: -t**2 - 1443*t - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30906 is divided by 1292?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 560 and 9958165.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.95 + -0.05. Let l be (-2)\/(-11) - 14\/(-44). Let g = 9\/5 + -2. Which is the closest to g?  (a) 0.4  (b) l  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 225751 = 3*h - 49328, 0 = 3*z + 3*h + 275103. Let l = 24333 - z. Let y = l + -191030. What is y rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of -2962*l**5\/5 - 3*l**3 - 84*l + 373. Find the third derivative of q(p) wrt p.\nAnswer: -71088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*s - 43. Let l = -8 - s. Suppose h**3 - 2*h + 3*h + 2*h - l*h = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*d**2 + 1258*d - 2718*d - 1480*d to the form j*d**2 + r + x*d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -442*u + 252. What is the remainder when q(-2) is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in 2*y**2\/13 + 4560*y\/13 - 382482\/13 = 0?\nAnswer: -2361, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -23\/5, -3\/5, 0.5, -0.0066?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 43 = -7. Let a = -50 - d. Suppose -2*r + 10*r - 48 = a. What is the lowest common multiple of r and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*q + 19*q + 5*q + (0*q + 3*q - q)*(-2 + 0 + 0))*(17*q + 25*q - 14*q) as z + a*q**2 + t*q and give a.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p**5\/2 - 1171*p**4\/8 + 41271*p**3\/4 + 58424*p**2 - 41273*p\/4 - 466221\/8 = 0. What is p?\nAnswer: -21\/4, -1, 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 + 38. Suppose 15 = 4*s + s. Suppose 166 = s*j + n. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of 79*d**5\/12 - 1079*d**3\/6 - 347*d**2 - 5*d. What is the first derivative of o(n) wrt n?\nAnswer: 790*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -4. Let o be a\/(-3)*3\/8. Is 2 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6213.33408 rounded to the nearest ten?\nAnswer: -6210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -11088 divided by -231?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in t**3 + 7338*t**2 - 2406*t**2 - 2482*t**2 - 2450*t**2.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 19*j**2 + 13*j + 2. Does 3 divide s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*g + 6*g**2 + 10*g - 26*g - 13 as m + a*g**2 + w*g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 - 3)*(c - c + 2*c)*(-6 - 17 + 26)*(-3 + 1 + 4)*(-2*c - c + c) to t + f*c + n*c**2 and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {y: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*c - 93 + 78 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 2581*t**2 + 26641*t. Let g(d) = d. What is r(g(a))?\nAnswer: 2581*a**2 + 26641*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 452854 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 748087280 and 388.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 67473169*l**5 + 545*l**2 + 111 wrt l.\nAnswer: 4048390140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 42, 76, 96, 90, 46?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 5*w**5 + 588770*w**4 + 1177525*w**3 + 588760*w**2 = 0.\nAnswer: -117752, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.46 + -0.16. What is the closest to -0.1 in q, -2, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + 17*w + 20*w + 9*w - 14*w.\nAnswer: 37*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2422, -3258, -4108, -4978, -5874, -6802, -7768?\n\"Answer: -g**3 - g**2 - 826*g - 1594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -27*j**3 + j**2 - j - 1. Determine q(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l, 1 r, and 1 d when four letters picked without replacement from {n: 2, l: 8, d: 1, r: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26 - -28.4. Let d = x - 2.43. Sort 2, 5, d in ascending order.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1000068364.\nAnswer: 2, 29, 2647, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**3 - 14*u**2 + 5*u - 19. Let m(n) = n**3 - 8*n**2 + 10*n - 16. Let g be m(7). Suppose g*d = 2*d + 42. What is the units digit of w(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -a8768?\nAnswer: -a8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (46\/207)\/((2\/(-3))\/(-1)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 608311.3l?\nAnswer: 608311300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -156 - -159. Let x = 17\/42 + -4\/7. Suppose -s - h + 1 = 3*h, -h - 1 = -s. Which is the biggest value?  (a) s  (b) x  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**2 + 0*i**2 + i**3 - 10*i**3 + 40*i**3 - 3*i**3 - 2*i**3 - 2*i**3 + 6*i**3 + (0*i**2 + i**2 - 2*i**2)*(-2*i + 2*i + i) + 3*i**3 - i**3 + 0*i**3.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4744 is divided by 88?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*l**3\/7 + 12*l**2\/7 - 16\/7 = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -2 + 6 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 258638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-200)\/(0 + -1) + -1. Suppose -s + 246 = -x. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -820100 rounded to the nearest ten thousand?\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -2142569?\nAnswer: 2142570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 10 = 5*u, 2*f - f - 2 = -5*u. Suppose u = 4*r + 8*r - 3*r. Solve r*b - 12 = 4*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 - -0.8499\nAnswer: 0.5499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 538?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4946202?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/4 and 1897\/(-4368)*-4 + -1?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -k + 2*d, -3*d + 37 = k - 7*d. Suppose 28*y + k = 23*y. Let b be (-4)\/(-10) + 8\/5. Put 3, b, y, 1 in descending order.\nAnswer: 3, b, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*(-4 + 3)\/2. Let s(f) = -f - 1. Let i(a) = 6*a + 5. Give u*i(w) - 5*s(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*z + 8*z + 25*z)*(131*z + 33*z + 295*z) to the form c + s*z + v*z**2 and give v.\nAnswer: 12393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 90.049 - 90. Round y to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227010 divided by 5?\nAnswer: 45402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53.835 - -54. Let k = -0.1583 + v. What is k rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 4*l**3 + 44*l**2 - 239*l - 2597. Give n(-12).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, 1, -1, -0.04, -6 in increasing order.\nAnswer: -6, -1, -1\/9, -0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.6 or -88\/873?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 2309 bigger than 2320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -14 + 10. Is (-597)\/i - (-3)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 2*o**2 - 6*o - 4. Suppose 29*x - 5395 = 42*x. Let m = x - -436. Calculate the remainder when t(5) is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 - -6413?\nAnswer: 63dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -38151615 divided by 2543441?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -5*w - 60, 4*w + k - 339 + 387 = 0 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -466492*g - 357838.\nAnswer: -466492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**3 + 302496*i - 302496*i.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**2\/4 - 29*t\/4 + 33.\nAnswer: -(t - 4)*(t + 33)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -75 + 1427\/19. Let o = -31 + 125\/4. Sort o, -0.1, w in increasing order.\nAnswer: -0.1, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**2 - 5*g + 5. Let r(j) = -9*j - 1 - j**2 + 8*j + 2. Let w = -13 - -8. Let o(v) = w*r(v) + q(v). Let k(n) = n. Determine o(k(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -1323015*f**2. Let z(y) = 3*y**2. What is r(z(j))?\nAnswer: -11907135*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 50 = 106. Is (-4)\/m + 21328\/52 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2. Let u(l) = -67945630*l. Determine s(u(i)).\nAnswer: -4616608636096900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*((-183)\/(-7))\/3*7560\/(-1080)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z + 43. Calculate p(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -3\/2  (b) 5  (c) -48468\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21497 is divided by 29.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**4 - 51255*a**3 - 131828235*a**2 + 125734201835*a + 611870051472900.\nAnswer: -5*(a - 1860)*(a + 4037)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*z**2 - 22*z**2 + 17*z**2 + 28*z**2 + 188*z**2 to the form h*z + v + q*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**3 + c**3 - 3*c**3 + 3)*(138*c + 9*c - 8*c)*(-4 + 2*c + 4).\nAnswer: -278*c**5 + 834*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3538360 - 4*c - 3538360 + 7*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -5*y**3 + y**2 + 31*y + 93. Let j be n(-3). Calculate the highest common factor of 54 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.06 - 11.94. Let m = 19 + u. Let z = 16 - m. Which is smaller: -2\/5 or z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*u - 36*u = -804. Let r = -135 + 202. Calculate the highest common divisor of u and r.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -16\/11369379?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -255145, -510209, -765091, -1019701, -1273949, -1527745, -1780999, -2033621?\nAnswer: -2285521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 166892729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 + 13. Let b(o) = 7*o + 2. Let q(r) = -26*r - 219. Let p(l) = -3*l - 36. Let k(i) = -6*p(i) + q(i). Calculate n*k(c) - 6*b(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*b = 230, 5*c - 230 = 2*b - 5*b. Let m be (1 - (-2 - -2))*486\/9. Let t = m - c. What is the highest common divisor of t and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -324673404\/323 + 1005180. Let i = j - -20\/19. What is the second smallest value in -2, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 460, 1322, 2184, 3046?\n\"Answer: 862*d - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -299.71 rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 139246 - -75141. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4116.616 and 320.\nAnswer: -1317317.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2662 and 15004?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14646187 - 4?\nAnswer: -14646202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 201 and 40140839.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 - -27. Calculate the remainder when 83 is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -164 (base 11) in base 2?\nAnswer: -10111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -173*b**2 - b + 2. Let g = -15 - -19. Let d be n(g). Round d to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/966 and -149\/6.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -270 - -976. What are the prime factors of l?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 61c42 (base 13) in base 11?\nAnswer: 10aa68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7759.\nAnswer: 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1664 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**2. Suppose 0*u = 5*u - 10. Let w(v) = -3*v**2 - 3*v**2 + 19*v**u. Give w(b(z)).\nAnswer: 52*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 4*a**2 + 25*a + a**2 - 3 + 29 - 4*a**2. Let v be k(-24). Suppose t - 7 + 2 = -2*s, 5*s + 3*t = 15. Solve s*w - 8 = -v*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 - -216?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.061507119 rounded to five dps?\nAnswer: 0.06151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 418975*c**2 - 175420*c**2 + 465439*c**2.\nAnswer: 708994*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 - 12 = 4*y. Suppose v + 5*d = 9 + 15, y*v - 104 = 4*d. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgd when three letters picked without replacement from dnggown?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/11)\/(o*o*o**(-1\/3)*o))\/(o*(o*o*o**(4\/5)*o)\/o*o*o**(5\/3)) assuming o is positive.\nAnswer: o**(-1477\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - 6) + 18\/8. Let k = -0.04 - -3.04. Let u = k - -2. What is the biggest value in 1, u, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/15  (b) -2  (c) -1\/9  (d) -1  (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -4*m - m. Let u = 8 - m. Find the second derivative of x**4 + u*x**4 + x - 5*x + 0*x**4 wrt x.\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3363.522 rounded to the nearest integer?\nAnswer: -3364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j\/(j*j\/j**7*j)*j))\/(j**21\/j))\/(j*j*j**(9\/4)*j\/(j*j**(-3\/4)*j)) assuming j is positive.\nAnswer: j**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from {w: 7, p: 1, o: 1}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 17 + -8. Let g = 0 - 0. Suppose g = 5*n - 0*n. Solve h + n = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*g - 6 = 0, -z + 0 = -5*g - 15. Suppose z = 13*r - 12*r. Suppose -2*s + r = 4*m - 62, 0 = -5*m - 15. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1173 - -2?\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-34) + (-7560)\/(-476). Calculate the greatest common factor of 688 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13995914266 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**3 - 41*a**2 + 23*a + 178. List the prime factors of o(-42).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 293088, 293112, 293160, 293244, 293376, 293568, 293832?\n\"Answer: 2*k**3 + 10*k + 293076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -49229\/17 + 2897. Let i be 0\/(2\/2 - 0 - (-1 - -3)). Which is bigger: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -37\/12 + 26\/9. Let z = 1\/36 + o. Sort 0.5, 3, z in ascending order.\nAnswer: z, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - d**2)*(0*d**2 - 3*d**2 + d**2) - 2 - 31*d**4 + 2 + 0.\nAnswer: -29*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 1620 = 624. Is 68 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 311 + -196. Suppose -126 = 106*o - j*o. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 198*k + 35258. What is j(-178)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 8 - 0. Let y(h) = -2*h**2 + 2*h**3 - 3*h**3 + h**2. Calculate the remainder when y(f) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -65\/168654 and 4\/252981.\nAnswer: 505962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7219 + 7219. Factor 3\/2*i + x + 3\/2*i**2.\nAnswer: 3*i*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - -8. Let n = 9 + a. Suppose n = 2*y + 2*l, 2*l = -4*y + 3*l + 19. Solve 2*i = y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 310, 626, 966, 1342, 1766, 2250?\n\"Answer: 2*z**3 + 302*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1227638 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 13*o**2 + 3*o - 21. Let v(a) = -3*a**2 - a + 5. Let h(m) = 2*k(m) + 9*v(m). Let i be h(-4). Is -0.2 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**2 + 12*d + 104. What is r(18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -2 - 6) + (19 - 15).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qoqoioq. Give prob of sequence ioiq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00016096 to 6 decimal places.\nAnswer: 0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*w**2 + 93*w**2 + 38*w**2 + 2.\nAnswer: 158*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(440)*-2)\/sqrt(11) - sqrt(1440)*-3)\/(sqrt(32)*-2 - (sqrt(80) + sqrt(80) + (sqrt(80) - sqrt(80)*-2))\/sqrt(10))*-4.\nAnswer: 64*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 4)*((1 - 1 + d)*(3 + 0 - 1) - d + d + 2*d)*(2 + 2 - 3 + (3 - 3 + 8)*(3 + 2 - 4)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 PM and 6:42 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*i = -1, 8*o - 7*o - 4 = 5*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 229762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -113, 0, -5, -3, -4.\nAnswer: -113, -5, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 2*d = 18876 - 3124, 0 = -4*u + 5*d + 31468. What is the highest common divisor of u and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 3  (b) -2\/7  (c) 1  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 6*z - 60. Let t be n(10). Suppose t = 6*y + 17*y - 5*y. Which is the second biggest value?  (a) 2.4  (b) 1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: a741a (base 11) to base 10\nAnswer: 156232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 23*s + 1. Let y be p(1). Calculate the greatest common factor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 32*i**3 + i**2 + 19*i - 20. Let t be g(1). What is the greatest common factor of t and 992?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 8 = -2*x + g, -7 = 5*x + 3*g. Let y(f) = -2 - 3*f + x + 2*f. Let v(s) = -3*s - 3. Suppose -17*a = -0 + 34. What is a*y(o) + v(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 2*z**4 + 14098*z**3\/3 - 18806*z**2\/3 + 4702*z\/3 = 0.\nAnswer: -2351, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 23*d**2 + 22*d + 46. Let k be a(24). List the prime factors of (-10 - (5 + k))*-1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -719*u - 6. Let d be q(-8). Let o be (d\/143 - 4\/22) + 3. Let j = o + -40. Is 2 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2*d**2 + 1. Let t(g) = -g**3 - 20*g**2 + 5*g - 67. Let f(c) = 5*b(c) - t(c). Give f(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 2*t + 4*t**2 - 3*t**2 - 2*t + 1 - 7*t. Let r be d(5). Let h(p) = 5*p**3 + 9*p. Let z(c) = -c**3 - 2*c. Calculate r*z(w) - 2*h(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(((sqrt(1728) + -1 - sqrt(1728))*-3)**2 + (sqrt(144) + sqrt(144) + sqrt(144)*2*5 - sqrt(144))\/sqrt(3)).\nAnswer: -220*sqrt(3) - 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 706?\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -89*(-2 + 5 + 2). Let u be 4\/(-2)*p\/10. Let o = u + 291. Round o to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -294 + 303. Solve 13 = -4*t - 5*i, 2*t + 0*i + 5*i = -m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171366?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -54307 divided by -1\nAnswer: 54307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 171 and 304?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*c - 1 - 3 = 15*c + 2*o, 5*c = 3*o + 80 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1419?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -29*f + 34. Let n(a) = -2*a. Let m(w) = 14*n(w) - 2*u(w). Let v be m(6). Calculate the greatest common factor of 28 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 475.6*-0.4\nAnswer: -190.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*s - 411*s = 99*s - 12663 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)*2 - sqrt(108)) + -1 + sqrt(3) + 0.\nAnswer: -1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263*o + 1143 = 272*o. Calculate the remainder when o is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i**4 + 2272*i**3 - 13776*i**2 + 128*i + 73472 = 0. Calculate i.\nAnswer: -574, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 343*p - 352*p + 298710 = 0. Does 101 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -49*f**3*g**3 - 108*f**3 wrt g.\nAnswer: -147*f**3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -20 + 55. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11202012110022 (base 3) in base 4?\nAnswer: -21220010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3828819.\nAnswer: 3, 103, 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 10\/65 - (-56)\/(-26). Let o be (-3 - -5)\/v - -9. Suppose 2*m + 2*m = o. Solve -3*r + z = -m*z - 12, -r + 20 = -5*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/10)\/(9\/(585\/26))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 1 - 3 + (-1 + 1 - 2)*(-4 + 1 + 5) - 6 + 8 - 5)*(3*r**2 + 2*r**4 + 0*r**4 + r**3 - 7*r**2).\nAnswer: -10*r**4 - 5*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 21565 = g, g - 7536 = -k + 14015. List the prime factors of g.\nAnswer: 2, 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -9125*r**3 + 120*r**2 - 596766*r wrt r.\nAnswer: -54750*r + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 306, -1, 33, -5 in decreasing order.\nAnswer: 306, 33, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 5*z**2 - 3*z + 1. Give v(3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 2*d + 5. Let t(h) = h + 7. Let a(j) = -7. Let y(r) = 2*a(r) + 3*t(r). Let w(p) = -7*l(p) + 5*y(p). Let o(u) = -3*u - 6*u - 6*u + 17*u. Give w(o(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 258 a factor of 272504244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 447409 is divided by 7430?\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1\/22050 - -1089\/2450. What is the second smallest value in -0.3, -4, v, -0.4, 91?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110 (base 10) to base 3\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -256 - -253. What is the second smallest value in 2, a, 4\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5227*n**2 + 25163*n wrt n.\nAnswer: -10454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nngivgiingigq. What is prob of picking 2 i, 1 g, and 1 q?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -m**5\/40 - 7*m**4\/24 + 2*m**3\/3 + 6. Let x(o) be the third derivative of q(o). What is the units digit of x(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1408170.\nAnswer: 2, 3, 5, 73, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 4, 4.4 in descending order.\nAnswer: 4.4, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(931))**2 + -4 + ((sqrt(931) + (-2 + sqrt(931)*-2 - sqrt(931)))**2 - sqrt(931)) + -4 + ((sqrt(684) + 0)**2*1 - sqrt(684)).\nAnswer: 43*sqrt(19) + 5335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (42\/(-9))\/(4\/(-72)). Suppose -n - x = -5*n. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 5*i - 32, 3 = 2*i - 3. Let w be (u - 13)*(-67)\/(-2). Let p = w - 57. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -31, 0.5, -2, 2\/15, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 5598 - 1398 = 0. Let y = p + 1222. Is 24\/36 - y\/(-3) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117 + -116. Let m(d) = 3*d**2 - 6*d**2 - 2*d**2. Calculate m(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 40\/140 - (-864)\/14. Suppose 53*j = z*j - 126. Let g(x) = -8*x**3 - 14*x. Let p(n) = 3*n**3 + 5*n. What is j*p(f) + 5*g(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*g + 24*g + 218 = -868 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -1  (b) 277  (c) 4  (d) -319  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -i + 4*i. Suppose -i*a = 3*f - 16, -3*f + 29 = -4*a + 7. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -9.6498566 + 9.65. What is j rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 168 - 190.8. Let r = -19.87 - x. What is r rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15\/16 + -53\/48. Let w = 1078 - 1070. What is the third biggest value in v, 4, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4026 + -2875. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 + 2. Let f(x) = 32*x - 1. What is the tens digit of f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 73 + -4. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from llnfnssnfnfnnplpnl?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o - 6. Let l be j(-9). Suppose -75 = l*b - 324. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -259.972849\nAnswer: -103.9891396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*j + 4 = -7*t, -5*t = j - 19. Calculate the least common multiple of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -14\/19089837?\nAnswer: -14\/19089837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/(-2*1)*136\/170.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 times -4.1?\nAnswer: -45.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-7\/4)*v\/(v\/(v*v**(-2)\/v*v*v))*v assuming v is positive.\nAnswer: v**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18\/391 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3 - (3 + -1))*-1. Let o be (-5)\/((-12)\/3 - -3). Suppose 10 = -o*g - 0*g. Put g, -3, h in ascending order.\nAnswer: -3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(1260)*-2*-1)\/(-5*-4*(sqrt(5) - ((sqrt(180)*-1 - sqrt(180)) + sqrt(180) + sqrt(180)))))**2.\nAnswer: 252\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1195 + -711. Let l = 483.6 - f. Let o = 3 + -1. Which is the second biggest value?  (a) 8  (b) o  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 1025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**5 + 1074*f**3*j**2 + f*j**2 + 576*f*j wrt f?\nAnswer: 20*f**3 + 6444*f*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*b + 35*b = 2870. Is 13 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 75\/8 of a meter in millimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-17 - 1) + (14 - 10) + 5 - -31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 0, 0.365, 2\/5, 3.\nAnswer: -2\/5, 0, 0.365, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -82 - -131. Let r = s + -61. Is (15\/r)\/(5\/(1920\/(-3))) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (88\/176)\/(2\/5*(-1)\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 2*d - 3*d = 25, -i - 3*d + 1 = 0. Suppose -3*l + 3 = 0, -s + 10 + 0 = -5*l. Solve s = i*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**3 - 11252*j**2 + 1031180*j - 24025084 = 0. What is j?\nAnswer: 47, 2719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 3*s = 22, 16*t - 32*s + 9 = 12*t + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1958 = -25*u - 94*u + 660 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*x + 123207 - 122295 = 0 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -13*q + 64. Determine m(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/(-10))\/(((-90)\/(-25))\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6771755 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 181 - 104. Suppose 0 = -4*x - 4*z + 120, -3*x + 4*z = x - 128. Suppose -3*h + 2 + x = 0. Calculate the highest common divisor of o and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3441 + 5b4?\nAnswer: -2c6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*-213*1\/(-6). Suppose -s + t = b, -2*s - 15 + 5 = 0. Suppose 60 = 4*a - b. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70315 and 196.\nAnswer: 281260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f + 2 - 11. Find the second derivative of -2*j - 2*j**f - 2*j**3 + j**3 + 4*j**3 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*k = -16*k + 2*f + 233, 5*k + f + 229 = 0. Let q be 18\/k + (-14)\/(-10) + -4. Put q, -1, -2, 28 in descending order.\nAnswer: 28, -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1760 in -5, -1\/7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -5*y - 3*v, -5 = y + 17*v - 19*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2*h - 12 = 0, -h = -4*b + 2*h + 52. Suppose -59 = -3*c - n - 7, b = -2*n. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + (-23 - -11) + (-3 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 10:32 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*i + 30 = 0. Suppose 4*m = m + 24. Calculate the remainder when (i\/4)\/((-1)\/2) is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5106 - 1825740.3.\nAnswer: -1820634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 2361317?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-9 - -12 - -5)) + -1 + 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.012, 4, 1, -2.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**3 - 2*k**3 + 0*k**3)*(9*k + 10*k + 0*k) + (0*k**2 - k**2 + 0*k**2)*(5 + 2*k**2 - 5) - k**4 - 4*k**4 + 3*k**4 + 0*k**3 + 0*k**3 + k**4.\nAnswer: 92*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/15?  (a) 2\/21  (b) 242  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10347 (base 9) to base 8.\nAnswer: 15277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 5*h**2 + 19*h - 56. Let c be q(3). What is the highest common divisor of 1702 and c?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 279711 and 1044?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 37*f**2 - 2. Let b(x) = -4*x**2. Determine b(y(c)).\nAnswer: -5476*c**4 + 592*c**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (162 + -185 - (-791)\/21)\/((-2)\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -41*w + 3. Let y be i(17). Let r = -386 - y. Calculate the greatest common divisor of r and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (3 + -5 - (-1 + -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 36487793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4 - -6. Let c be 5480000\/(b - (-32)\/(-20)). What is c rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 0*p + 2*p = -22, -4*p = 5*m + 50. Let s(i) = 16*i - 1. Let o be s(1). Let c = o + m. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 154\/4*(-92)\/5980 and 47\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2383485 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 12011382601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74 is divided by 30?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1281, 1230, 1177, 1122, 1065, 1006?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 3*h**2 - 6*h + 9. Let n be r(2). Let m = -0.2 + 0.4. Which is the third biggest value?  (a) n  (b) m  (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011100 - -100100?\nAnswer: -111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*(22506\/(-1612))\/(-121)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qff when three letters picked without replacement from {z: 4, h: 4, f: 1, q: 6, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkgr. What is prob of sequence kr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1241671  (b) 1  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001929 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:48 PM and 10:04 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*f**4 + 3822*f**3 - 43491*f**2 - 8034*f = 0. What is f?\nAnswer: -2\/11, 0, 13, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 5*g - 6 = 0, -2*j - 14 = -5*g - 5. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -31, -34, -37, -40, -43, -46?\n\"Answer: -3*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(2904)*-1 - sqrt(24))\/(sqrt(12) + -2*sqrt(1200)))*-3 + -4)*-2.\nAnswer: 72*sqrt(2)\/19 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 + 2*c + 3. Let k be v(3). Let h = k - -5. Suppose -h*n + 18 = -2. Solve -3*d + 2*b = 3, 0 = -d - b + 3 - n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-6)\/w**3)\/(w**3\/(w*w**(-2\/3))))**10)**(2\/23) assuming w is positive.\nAnswer: w**(-700\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) be the first derivative of 2 + u**2 + 0*u**4 - u**3 + 0*u + 1\/5*u**5. Suppose z(o) = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -18065.642 to the nearest integer.\nAnswer: -18066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*m - 596652000 = 22*m. Round m to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/32*6)\/(24\/(-871968)). Let n = x - 1199043\/44. Calculate the common denominator of (-462)\/(-80) + (-2)\/5 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m**3\/2 - 1080*m**2 - 12867*m\/2 - 5355 = 0. Calculate m.\nAnswer: -714, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.42 - 0.22. Let q = 3.8 + n. Let u = 0.3 + -0.2. Which is the second smallest value?  (a) 5  (b) u  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 2 - 2)*(-5*w**2 + 5*w**2 - w**3) - 265*w**4 + 103*w**4 - 179*w**4 + 0 + w**4 + 0.\nAnswer: -338*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 2 m, and 1 t when four letters picked without replacement from {z: 1, m: 2, x: 2, w: 2, o: 4, t: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.1 + 1. Let q = -37543 - -638416\/17. Let y = q + -11. What is the nearest to -0.2 in 0.1, y, w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(44)*-1)\/sqrt(4).\nAnswer: -4 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10464 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*o = 2*o - 1, 2*f = o + 17. Suppose -f + 5 = -v. What is the remainder when 3 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -124 + 77. Is n greater than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:38 PM and 10:43 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2767166951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxooxoxoxxoxx. What is prob of picking 1 x and 2 o?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-75))\/(21*66\/(-1485))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/6*(-12)\/(-8)*-146. Let j = y + -29. Let n(b) = 14 + b**3 + 16 + 9 - j + 5*b**2 + 3*b. Give n(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 199c4 (base 14) to base 4.\nAnswer: 33320120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gcgc when four letters picked without replacement from zcgnnczzcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (19897512\/(-45))\/(-3 - (-39)\/(-5)). Let g = -40942 + q. Calculate the common denominator of g and 68\/15.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99760116 to the nearest integer?\nAnswer: 9988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**3 - 3*n**2 + n + 1. Let q be l(2). Suppose -2*d - 3*d = -60. Let t = d - q. Solve 0 = 2*c + t - 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 57466 = 2*v, -5*v + 36*t + 143691 = 39*t. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42964093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 495*u = 450*u - 1065, -52 = 4*t + 3*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 749, 1568, 2387, 3206?\nAnswer: 4025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 201, 683, 1469, 2583, 4049, 5891?\n\"Answer: 4*x**3 + 128*x**2 + 70*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1723?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 102 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -d - 10, -3*d = 2*w + 2*w - 35. Let s(l) = 0*l - 9 + l**2 + 4*l + w*l + 0*l**2. Calculate the remainder when 25 is divided by s(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -101*u + 532. Give s(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -5 * -74.354\nAnswer: 371.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (32\/1104)\/((-37)\/(-1702)). Factor -n*u**2 + 52\/3*u - 88\/3.\nAnswer: -4*(u - 11)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2 + 2*p - 2*p**2 + 10*p**2 + 2*p - 7*p**2 - 16.\nAnswer: 2*(p - 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 316\/(-161))\/(32736\/672 - 49).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -15*w**3 + 131*w**2 + 24*w + 89. Determine n(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*g - 17*g + 37*g = 49*g - 9576. Suppose 5*y - 150 = 3*z, 3*y + 0*z - z = 94. What is the smallest common multiple of g and y?\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12323110 (base 5) to base 15.\nAnswer: -25a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14073299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2.4554, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 71\/5 of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 33943500 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.5  (b) 0.2  (c) -0.3  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 + 556644\nAnswer: 556643.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50 and 1070.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*q + 13*q - 12 = 0. Let p be -5*1\/(1 - q). Suppose -p*k - 2560 = -3*k. What is k rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is ba416 - -5ba?\nAnswer: baa14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 84, -1.2, -6, -91, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 9 + 19 = 0. Suppose 0 = -5*b + q + 3*q - 10, 0 = 2*b + 4*q + 32. Let m = g + b. Calculate the lowest common multiple of m and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 1, -2.8, 0.4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-6*(sqrt(1331) - (sqrt(1331) + 4*(sqrt(1331) + -1))))**2 - -5*sqrt(99)\/(sqrt(108)\/sqrt(432))*1.\nAnswer: -12642*sqrt(11) + 767232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 636371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -368, -744, -1120, -1496?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011001 + 10010011111110110?\nAnswer: 10010011011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148168?\nAnswer: 2, 18521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-33)\/7 - -5) + 1211715\/315 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.243 take away 94.6?\nAnswer: -94.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1533, 2564, 4283, 6690?\n\"Answer: 344*p**2 - p + 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5)\/(-2)*-45*10\/(-125).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-5)*y*y\/(y\/y**(2\/3))*y*y*y**(-3)\/y*y**(2\/9))**7 assuming y is positive.\nAnswer: y**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -11*v**2 + 38*v + 187. Let z(f) = -7*f**2 + 26*f + 125. Let g(w) = -5*o(w) + 8*z(w). Give g(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 228192181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7424085?\nAnswer: 3, 5, 494939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -4 + -5*(1*sqrt(931))**2 + -3*2*sqrt(931))*6.\nAnswer: -27960 - 252*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13201093523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 8) + (195 - 184) - (-29 + (1 - 2))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -5\/3, -0.5, 3, 1\/3, -0.022, 20.6?\nAnswer: 20.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5147249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 1) + 30\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 148 and 131276?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (432\/(-24))\/6*(-3)\/(9\/23)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(14 + 1584\/(-112) - 142\/(-14)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 4*t + 2*f, -9*f + 4*f + 25 = -t. Let h(l) = -l**3 - 4*l**2 - 2*l - 6. Let x be h(-4). Sort -3, x, t in increasing order.\nAnswer: t, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + -4325?\nAnswer: -4323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12.4 in 2, -110, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*o - 3 + 3)*(1 + o - 1) + (0*o - 5*o + o)*(-4*o - 5 + 5).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 16 = -3*i. Let q be 52\/16 + (-1)\/i. Let u(h) = -h**2 + 6*h + 5. Let n(p) = -4*p + p**2 - p + 0*p - 4. Give q*u(z) + 4*n(z).\nAnswer: z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49679.56 years to millennia.\nAnswer: 49.67956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 250488, 250486, 250484?\nAnswer: 250482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/4719  (b) 2\/5  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-2) - 13\/(-2). Suppose 0 = h*t - 3*t - 12. Does 12 divide ((-6)\/t)\/((-1)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 3*i**5\/10 - i**2 + 12*i. What is the derivative of d(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 8 - 32 = 0. Let o = 1.4 + -1.2. Let y = o - 0. Sort y, v, -2.\nAnswer: v, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.2 - 2. Let l = -10 - 41. Let i = l - -50.9. Which is the nearest to i?  (a) 2  (b) v  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-378)\/(-98) + -4)\/(3\/(-3)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the first derivative of u**3\/3 + 6. Let j(y) = -124*y + 65. Let c(a) = -619*a + 357. Let g(v) = -2*c(v) + 11*j(v). Give n(g(i)).\nAnswer: 15876*i**2 - 252*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 5 = -g, c + 20 = 4*g - 3*c. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104038 + -13844?\nAnswer: 90194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7355265, 14710553, 22065877, 29421255, 36776705, 44132245, 51487893?\nAnswer: 58843667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (-296)\/(-176)) + (-5 - 798\/(-154))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2544 = -1610*c + 1504*c for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-17 - -19) - -22 - 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 91229 to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 5 = 10, -4*c = 2*i - 3400. Suppose d = -2*l + 676, -i = -5*l - 5*d + 10. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -19.88 + 20. Let p = -0.02 + u. Let k = -1 - -0.8. Which is the second smallest value?  (a) p  (b) 0.4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119256 is divided by 186.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 3.95. Let s = -3.05 - l. Let q = 29.9 - 29.9. What is the closest to q in -2\/3, s, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -399 divided by 2092672.\nAnswer: -399\/2092672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*o + 91. Let d(c) = c**3 + 18*c**2 + c + 18. Let s be d(o). Suppose -3*n = -s*n - 150. 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: What is ((-1)\/4)\/(162\/(-45)*5 + (-301625)\/(-16764))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-104)\/(-24) + 1\/(-3). Suppose -y*z + 80 - 24 = 0. Solve 4 = -5*i + z for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -40 - -35 - (-2 + 0 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u + 4*s + 34, 0 = -s - 2*s + 6. Let g = u + -4. What is the units digit of 298\/g - 4\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 21*r**3 + 2*r**2 - 9*r - 1. Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -49?  (a) 2\/3  (b) -3  (c) -6  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -31*g + 648. What are the prime factors of i(-26)?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 60*t + 0 + 5 + 102*t.\nAnswer: 162*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 94*v - 99*v + 3*p - 22, -24 = 4*v + 4*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 218524 is divided by 5750.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 347808, 695633, 1043480, 1391355, 1739264, 2087213?\nAnswer: 2435208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 653 - -15363?\nAnswer: 16346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from lhhllllllhhlhlllll?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43374635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 1845*n - 4962. Is 7 a factor of t(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11001 (base 2) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of a**5 + a**4 - 125*a**3 - 16*a**2 + 1296.\nAnswer: 60*a**2 + 24*a - 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.05974 - -0.03626. Which is the third biggest value?  (a) -0.2  (b) 4  (c) i  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + -2 - (-2)\/2. What is the highest common divisor of 33 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -179 = h - 181 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 - 5*p**4 + 2*p**4)*(0*p - 9*p + 11*p - 4).\nAnswer: -4*p**5 + 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.216 + 174.016. Let g = q + -182. Round g to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4\/19 + 210*s**3\/19 - 426*s**2\/19 + 214*s\/19.\nAnswer: 2*s*(s - 1)**2*(s + 107)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 8, y: 5}. What is prob of sequence yyya?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**2 + 35*f - 38. What is r(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) 3\/7  (c) -0.3  (d) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 244491 divided by -4?\nAnswer: -244491\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(72) - (sqrt(72) + 1)) + 0 - 1*(sqrt(22)\/(sqrt(33)\/sqrt(3)) + 5))**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-31))\/(q\/q**(-2))*(q*q**(4\/5)*q)\/(q**(-27)\/q))**1 assuming q is positive.\nAnswer: q**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -51043 + 51040. Let j(m) = -4*m + 4. Let p be 40\/6 - 1\/(-3). Let f(t) = -5*t + 3*t - 5*t + p. What is w*f(i) + 5*j(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 4*s**3 - 2*s)*(4*s - 3*s - 3*s)*(0*s + 0*s + 2*s).\nAnswer: -16*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 3 + 2)*(2 - 1 + 0) - 4 + 3 - 3)*(-127*j + j - 34*j + 33*j) to the form i + o*j and give o.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001156 to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 271*o = -666*o + 1033*o - 1728 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add 2.31 and 17528.\nAnswer: 17530.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 34. Let p be n(12). Let k = p - -22. Suppose 305 = 2*j - 5*v, k*v - 2*v = -6. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((1*sqrt(117)*6 - sqrt(117)) + -4*(sqrt(117) - (sqrt(117) - (sqrt(117) + sqrt(117)*1))))\/((-1*-2*sqrt(54))\/sqrt(6)))**2*3.\nAnswer: 347\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -231101 (base 12) in base 13?\nAnswer: -1688c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*r - 39 + 47 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -57 - -94. Let f = 7 + 102. Calculate the remainder when f is divided by x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 43 + -63. Let f = -10 - d. Calculate the remainder when 18 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lggmrrrgrggclrgllrly. What is prob of picking 3 l?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 52*c**2 - 42*c + 90. Give h(51).\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -59.86 - 0.14. Let u = d - -63. Put -4, u, -1, -0.2 in descending order.\nAnswer: u, -0.2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5208)\/78)\/(-62))\/((-192)\/208)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 6) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.113657 + -2068.143657. Let u = m + 2041. Let y = u - -27. Put -5, 0.5, y in descending order.\nAnswer: 0.5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(220)\/(sqrt(5)*-3))\/(sqrt(4)*-1*2))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 12*v**2. Let s be z(-1). Solve 0 = -0*q - 4*q + s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 402 = 8*t - 6446. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -26 in 0, -1\/3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -10. Suppose 2*d + l = -f, 3*f - 9 = -d + 1. Let k(w) = -5*w - 2. Let s(y) = 3*y + 1. Determine f*k(m) + 8*s(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 0 + (-21 + 10 - 6 - 9)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 60\/(-210)*14\/(-6)*(-3)\/(-6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-8 + 3 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -206*x**3*y**2 + 2*x**3*y - 123*x**2 + 6*y**2 wrt x?\nAnswer: -1236*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38*s**3 + 295759*s**2 + 22202784*s wrt s.\nAnswer: -228*s + 591518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11902 and 4138.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.135639 rounded to 4 decimal places?\nAnswer: -0.1356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000232573991 rounded to 5 dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, 226940, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*w**2 + 315*w**2 + 425*w**2 + 2 + w**3 - 2.\nAnswer: w**3 + 760*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 3*y + 75. Let d = y - 49. Let j = 37 - d. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 1:52 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + i - i)*(-2 - 1 - 1)*(-2*i + 0*i + i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c**3 - 4*c + 3. Give y(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/(-6))\/((-51)\/(-27) + -2). Solve -3*x = -6*x + t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 32, 0, -105, -53.\nAnswer: -105, -53, -3, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -24405  (b) -0.06  (c) 0  (d) 0.1  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4149 by 22.\nAnswer: 4149\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from {k: 1, u: 10, s: 3, z: 4}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -889 and -71440.\nAnswer: 63510160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 4*n = p - 12, -p - 6560 + 6572 = -5*n for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes before 4:37 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -11*n + 42. Solve -n*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.0681 + 0.4319. Let t = 0.2 + -2.2. Which is the third biggest value?  (a) u  (b) 0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 8:21 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (10*1\/(-12))\/(9\/(-27))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 622625.6027 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i + 5*i - 4*i)*(-4*i - 33 - 6*i + 9*i).\nAnswer: -4*i**2 - 132*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2.9466 + -2.9. Let t = b - 0.04258. Round t to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 x when four letters picked without replacement from {x: 2, m: 5, i: 2}.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8764 + 16815. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, -5, 3, 59, 2 in ascending order.\nAnswer: -14, -5, 2, 3, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1847198\/183 or -10094?\nAnswer: -1847198\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 4 = 5*k. Let o be 3*(-2)\/(-3)*k. What is the second derivative of o*u + 23*u**2 - 14*u**2 - 14*u**2 wrt u?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes after 2:00 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o + 8. Let j be c(-6). Let n = -1108 + 1110. Solve 4\/5*m - 2\/5*m**n + 0 - j*m**4 - 16\/5*m**3 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -20d8 + 1?\nAnswer: -20d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 16, 24, 16, -14, -72, -164, -296?\n\"Answer: -x**3 - 2*x**2 + 21*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 630070 - 8826051\/14. Let h(d) = -71*d - 7. Let c be h(5). Let k = z - c. Are 0 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - q = 4, -2*q + 4 + 13 = 3*n. Suppose 5 = n*v - 25. Suppose 0 = -2*g + v + 4. Solve 5*z + 15 = g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13357173?\nAnswer: 3, 4452391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-10 - -16)*(-1 - -1). Suppose -3*o + 5*n - 3 = 6*n, s = 2*n - 6. Let v(h) = -h**2 + 5*h + 1. Let y be v(4). Put o, y, 4, -4 in increasing order.\nAnswer: -4, o, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/36*-3)\/(6\/(-60))*219968\/(-9820)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -136 - -415. List the prime factors of k.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**2 + 35*g + 116. Let m be w(38). Suppose -1\/2*p**m + p - 1\/2 = 0. Calculate p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-4))\/(33\/44). Let z be (1 - (2 - h))*-3. Let f(k) be the first derivative of 2*k**2 + 2*k + 3. Calculate f(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 29 = -0*u - u, -6*u - 5*u = -5*c - 15 + 256 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 130 + -649\/5. Let r(d) = -d**3 + 5*d**2 - 3*d - 3. Let z be r(4). Let k = -219\/7 + 31. Put k, y, z in ascending order.\nAnswer: k, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3\/10 - -11\/20. Let a be ((-18)\/12)\/(1\/(-2)). Put -26, a, i in increasing order.\nAnswer: -26, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 2*o**2. Let q(a) = -a - 3. Let u be q(-5). Let l(c) be the first derivative of -4*c**2 + 0*c**2 + 2 + 3*c**u. Calculate p(l(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 2:01 PM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 1610.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (1 + 18\/(-14))\/((-21)\/882)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 - -11. Let y be (-1)\/p - 69\/9. Let v(i) = -i**3 - 8*i**2 - 2*i - 5. List the prime factors of v(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -4*x**2 + 10*x + 33. Let o(q) = -2*q**2 + 5*q + 16. Let a(b) = 4*i(b) - 9*o(b). Let c be a(6). Calculate the highest common divisor of 20 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -2.45288?\nAnswer: -0.490576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 278478*p**3 + 42203*p - 13 wrt p?\nAnswer: 1670868*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-2*sqrt(160)\/sqrt(8))\/sqrt(5))\/(sqrt(648)*2 - sqrt(648)).\nAnswer: 4*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*(-20)\/15*(164\/64)\/(-41).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*t**2 + t**2 - 2*t**2)*(-1 + 1 + 4) + 34*t**2 + 8*t**2 + 5*t**2)*(-t - 3 - t + 2).\nAnswer: -86*t**3 - 43*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/(-1))\/(24\/16 + -3). Suppose 54 = h + g*h. What is the smallest common multiple of h and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*o - 5*o**2 + 112*o - 66*o to d*o**2 + w*o + q and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 26935817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + (-745)\/(-240) + 2)\/((-8895)\/(-5337)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 90, 246, 474, 774, 1146, 1590?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19344\/(-651))\/(-104)*(6\/(-4))\/(-1).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**3 - 5*l + 5*l)*(1 + 0 - 3)*((-1 + 0 + 0)*(-l + 0*l + 0*l) + (0 + 2 - 4)*(-15 + 15 - 5*l)).\nAnswer: 88*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1288 - 526. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (304\/(-19))\/16*-18*(-4)\/(-8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 9 = 0, 29*v = -5*s + 30*v - 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -248*c**2 + 151*c**2 - 1227*c**2 - 365*c**2.\nAnswer: -1689*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0045184774 to 7 dps.\nAnswer: 0.0045185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 5 + 0)*(2*i**3 + 3*i**3 + i**3)*(-649*i - 53*i - 245*i + 181*i) as m*i**2 + c*i + n + j*i**3 + b*i**4 and give b.\nAnswer: -13788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -24, -o + 25 = p + 21 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48671869?\nAnswer: 647, 75227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -111237 divided by -1244.\nAnswer: 111237\/1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 3)*(17 - 45 + 20 + 2*m**2) as v*m + r*m**2 + f and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 18218 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 151551 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1116 (base 8) to base 10.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1862 rounded to two decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 267948440?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 348 = 16*k - 12*k. Suppose -3*f - 6*c + 2*c = -20, 5*c - 25 = 0. Suppose -r = 4*q - 220 + k, -q + 2*r + 22 = f. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**2 + 171*b = 0 for b.\nAnswer: -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42 (base 14) to base 9.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366 - 2*w**3 - 2*w**3 - 366.\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -3*d**3 - 3*d**4 - 2*d + d**4 - 6*d**2 - 3*d**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16 + -8. Let s be 6\/r + (-175)\/20. Let c(d) = -d**2 - 9*d + 13. What are the prime factors of c(s)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*d**3*h*z + 4749*d**3 + 2479*d**2*h**2 - 5721*d*h**2*z + 2*d*h**2 - 35*d*h*z + 2*d*h + 2*d*z wrt d?\nAnswer: 12*d*h*z + 28494*d + 4958*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3629860 to the power of 1\/2, to the nearest integer?\nAnswer: 1905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 1, r: 2, g: 1, i: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3*(-4 - 26\/(-6)). What is the nearest to 3 in p, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7152 - 7076. Suppose -n + 5 = -6. What is the remainder when a is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -4*l**3 - 37*l**2 - 19*l - 71. Determine v(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 7*w**2 - 9*w + 8 + 11*w - 3 + 2*w. Let y(p) = 11*p**2 + 6*p + 8. Calculate 8*n(t) - 5*y(t).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -4800*v. Let j(b) = b**3 + 5*b**2 + b + 4. Let m be j(-5). Let s(t) = 5*t. Let q be s(m). Let h be p(q). Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35589*y - 18537*y - 17014*y.\nAnswer: 38*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 138a4 (base 14) to base 13.\nAnswer: 19020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*k**2 - 6*k + 6*k - 3*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -2, 98, 2, -4, -402.\nAnswer: -402, -5, -4, -2, 2, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*t + 3 = -10*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4c (base 16) to base 11.\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide 29409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176299919728 + 176299919728 - 6*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = y**3 - 2*y + 2. Let i be x(2). Let t be (12\/(-3) + i)*2. Suppose -3*z + t = -z. Solve -4*c + 12 = -4*v, -2*c = c - z*v - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157504?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - 0 - (-3 + -19 + 15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 3*q**2 - 1. Let a(k) = k**3 + 7*k**2 + 5*k - 5. Let o be a(-6). Let l be m(o). Suppose l*g - 7*g + 45 = 0. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 430*o = 426*o + 2*p - 60, -11*o + 6*o - 77 = -2*p for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -4*s - 128. Calculate the least common multiple of 4 and s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 - 12*y**2 + 39*y - 9. Let d be q(6). Solve 0 = 20*h + d - 69 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1616?  (a) 2  (b) 3  (c) 4  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9977, -40251, -90821, -161687, -252849?\n\"Answer: -10148*b**2 + 170*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3321146261 to the nearest 100000.\nAnswer: -3321100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2391 - -2275 - (-160 - -2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 2*p = 2, 0*m - 2*m = -2*p - 10. Let k be (-6)\/1425*(m - 14). Are -1 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 8154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -130 - 67 - 4*r**2 + 54*r + 17*r**2 + 21 - 12*r**2 with respect to r.\nAnswer: 2*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1640 + -1633. What is the smallest value in -5, 0, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 + 11. Suppose -z = -h*z. Let u(o) = -3*o + z*o + o. Let d(t) = -7*t**2. Determine u(d(j)).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -2*v + 3*f, -24*v + 3*f = -13*v + 126 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes before 6:38 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 494247732.\nAnswer: 2, 3, 11, 17, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70368182.\nAnswer: 2, 1663, 21157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -384, -379, -368, -351, -328?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmhgjgwm. What is prob of sequence jh?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -a**3 - a - 1. Let t be (11 - 6) + -9 - -9. Let g(i) = i**3 + 76*i**2 + 169*i + 89. Let l(d) = t*n(d) + g(d). Find k such that l(k) = 0.\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-19)\/2 - -9) + 39\/54. Which is the closest to -0.11?  (a) -8  (b) 2\/11  (c) 0.2  (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 times -7\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*b - 6360 - 2138 = -448 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 486.7119t to grams.\nAnswer: 486711900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-27)\/m)**(1\/7) assuming m is positive.\nAnswer: m**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = 25*w + 173. Suppose 2*y = 12 + 16. Let o = y + w. Solve l - o = -g - 0*l, 5*g = -l + 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 102120020 + 10?\nAnswer: 102120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cqtctcsc. Give prob of picking 2 t and 1 q.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -2, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -106 - -114. Let r(w) = 6*w - c + 5 + 0 + w**2. Let n be (-16 + 2)*(-1)\/(-2). What is r(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 10*r**3 - 2*r**2 - 16*r. Let d(w) = 3*w**3 - w**2 - 5*w. Calculate 16*d(b) - 5*f(b).\nAnswer: -2*b**3 - 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (34 - 37 - (9 - 2))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4959 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/70527372 and -27\/5877281.\nAnswer: 70527372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 16085187373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 30 + 12 - (-15 + 8 - -3 - -15) - -7\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 626594314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/15440 and 29\/12352.\nAnswer: 61760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5378347 to the nearest integer?\nAnswer: 2319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z + 2*z + 2*z)*(-18595*z + 2728 + 579 + 18597*z).\nAnswer: 4*z**2 + 6614*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 15. Let k be (-32)\/b - (-26)\/(-39). Solve -3*x - 3 = 2*t, 4*t + k = -4*x + 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53, 91, 107, 89, 25?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**3 + 5*x**2 - 3*x - 1. Let s be -3*(2\/1 - 1) - -19. Suppose 5*m = m + s. Give d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2002\/(-5005)*(-380)\/(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -2*n**5\/15 + n**4\/8 - n**3\/2 + 47*n**2. Let k(q) = -3*q**2 + q - 1. Determine -11*k(y) + 4*p(y).\nAnswer: y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 5. Let b be u(-3). What are the prime factors of 27*(-15)\/(b - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c**2 - 3*c + 4. Suppose 2*w + 22 = 5*h, 5*h + 3*w - 9 = 2*h. Let d be o(h). Suppose a = -3 + 11. Calculate the highest common factor of a and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c = 3*g - 3*c - 296, -2*g + 239 = -5*c. What is the remainder when g is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 23*h. Let q(v) = -v**2 + 4*v - 12242. Determine q(i(f)).\nAnswer: -529*f**2 + 92*f - 12242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 14*u - 39 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) 17\/2  (c) -2\/13  (d) -15\/13  (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4013632 = 9*k + 15650632. What is k rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/5 + -1 + (-242)\/(-55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31865 divided by -229.\nAnswer: -31865\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -5*n**2 - 525*n. Let l(o) = -o**3 - 12*o**2 - 1050*o. Calculate -5*b(w) + 2*l(w).\nAnswer: -2*w**3 + w**2 + 525*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2436080835 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 455*i**3 - 2907*i**3 + 2568*i**3.\nAnswer: 116*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 261254?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/4*(-198)\/(-495).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*p - 58 - 47 = 0. Suppose -2*o - 126 = -4*o + y, 85 = o + p*y. What is the remainder when o is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8*((-4)\/10)\/(24\/30). Suppose -3*c = 4*f + f - 7, -4*f = -2*c + 12. What is the units digit of ((-1)\/z)\/(f\/(-36))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91*o + 444*o - o**2 - 944*o - 2104*o + 31*o**3.\nAnswer: 31*o**3 - o**2 - 2695*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(99)\/(1*sqrt(9)) - sqrt(44)\/((sqrt(4) - (sqrt(4) + 2*sqrt(4)))*6 - sqrt(4)).\nAnswer: 79*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3 + 3 + 7*u**2 - 6*u wrt u?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 824 (base 9) to base 15\nAnswer: 2ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(98) + (sqrt(98) + -1*sqrt(98) + sqrt(98) + sqrt(98) + sqrt(98))*-1) + sqrt(98) + sqrt(98)*2 + -4 + -4.\nAnswer: -8 + 91*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.168?  (a) 2  (b) -5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.76857232 rounded to two dps?\nAnswer: 3.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -652650.\nAnswer: 652650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41482 and 62608.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (5 + 2 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + 0 + -23 + -9 + 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 5673 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 12:16 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 44 divided by -602348\nAnswer: -11\/150587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -10*r - 21. Let j(l) = -l - 1. Let f(t) = h(t) - 2*j(t). Let v be f(-3). Solve -2*w + 7 = -x + 4*x, v*w + 20 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -46, 3, 25.\nAnswer: -46, -1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -2*j - 12. Let d be x(-8). Suppose 18 = 2*t + 5*q, -2*q = -t - d*q + 8. What is the third derivative of 5*k**5 - t*k**5 + k**5 + 2*k**2 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 303 - 301.644. What is i rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.1  (b) -1  (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) -3  (b) -2\/9  (c) -1  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 70, 5\/2, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lalllllallllllllll. Give prob of sequence laa.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -34\/209 and -2\/4543.\nAnswer: 86317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 9 = -2*p, 5*a + 1 = -14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/2 of a milligram in micrograms?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 16 + 4 = 0, -22 = 4*y + 2*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -f + 8. Let m(h) = -33*h**3 + 2*h**2 - 1. Let u be m(f). What is the highest common divisor of u and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 - 3)*(-2*w**3 + 0*w**3 + 0*w**3) - 3*w**3 + 4*w**3 - 2*w**3 + 12*w - 12*w + 6*w**3 + (w + 3*w + w)*(-w**2 - w**2 + 3*w**2).\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from rxxtrxxt.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 6 = d, 1 - 16 = -3*d + 5*b for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 9, h: 7}. What is prob of sequence ggg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 76353 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*o = -18, -24*i - 3 = -22*i + o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27960 in 0.013, -5, -2?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*(-4 + 0 - 1). Let z(g) = -1. Let s(h) be the first derivative of h**2\/2 + 6*h - 11. Determine l*z(q) - s(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 411*i + 13 = -115*i + 539 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -3*f**2 + 14*f - 33. What is u(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**2 - 16*n + 9. Is 18 a factor of s(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0047128343 to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -92 + 94. Suppose b + 1 = -3*j + 13, 0 = -2*j - 4*b - s. Solve -6 = j*k + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a day in minutes?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*sqrt(2268)*-6)\/((sqrt(1089) + sqrt(1089)*1 + sqrt(1089))*1).\nAnswer: -24*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-4)\/(-7))\/(8\/28). Suppose c = -0*u + 3*u + y, u - 4 = 5*c. Sort 1, -3, 2, c in descending order.\nAnswer: 2, 1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*b - 71*b + 8*s - 4 = 0, -5*b - 3 = s - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -132  (b) -22  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -74*d**5 + 6*d**4 + 6*d**2 + 200*d + 6. Let t(l) = -l**4 - l**2 + l - 1. Let g(u) = -m(u) - 6*t(u). What is the second derivative of g(j) wrt j?\nAnswer: 1480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from djjdccjje. Give prob of sequence cec.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = 34 - 42 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1404.3 - -1476.01. Let v = 0.71 - k. Let d = v - -71.0018. Round d to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - 4\/8*-58. Let p = 80 - t. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 + 2*d**2 - d**2 + 24*d**3 - 7*d**2.\nAnswer: 24*d**3 - 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2689\/1518 + 406\/253. Let v = -0.3 - -0.2. Let l = 2 + -4. Which is the nearest to v?  (a) y  (b) 0  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111110 + -110010?\nAnswer: 11001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 28, 33, 36, 31, 12, -27, -92, -189?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4211617909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 0  (b) -1  (c) -3\/2  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 15 = 0, -4*v - 3*g = 10 - 65. Find the second derivative of v*i**2 + 2*i + 10*i**2 - 10*i**2 wrt i.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lldl when four letters picked without replacement from {b: 9, l: 4, d: 3, o: 2}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 561677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*2\/64*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 68 not equal to 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (4\/6 + (-98)\/84)*-4. What is the tens digit of (-83)\/(3*h\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {q: 1, p: 1, n: 1, l: 2, s: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 163 - -1652?\nAnswer: 17b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - -1a26?\nAnswer: 1a2d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 2*v + 33 = 0. Suppose -7*b = -v*b + 208. Suppose 5*h + b = 9*h. Solve 0 = -5*y + 25, -t + 4*y = 6 + h for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002808953 rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 81 = 566. Let z be (-119 - 1)\/(13\/((-936)\/27)). Let v = c + z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 323473 and 2.\nAnswer: 323475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of 0*z**2 + 0 - 7\/20*z**5 - 7\/12*z**4 + 3*z + 0*z**3. Find the third derivative of s(a) wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - -3. Let x(v) = -v**3 - v. Let u be x(0). Suppose -o*w + w - i + 13 = 0, u = -2*i - 4. Solve 6*c - c - 17 = 3*l, -l + 21 = w*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, l: 1, p: 1, f: 5}. Give prob of picking 1 p and 1 v.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*sqrt(300) + -3 + sqrt(300) - sqrt(300)*-1*-1)**2 + 1.\nAnswer: -60*sqrt(3) + 310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-24)*(-112)\/18*(-108)\/126.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 3*y = -1456. Calculate the common denominator of 2\/7 and y\/(-21) + 0 + -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 307*n**3 + 561*n**2 - 19821*n - 5 wrt n.\nAnswer: 1842*n + 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 4*n. Let i(k) = 8*k**2 + 6*k**2 - 4*k**2. What is i(g(r))?\nAnswer: 160*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 73 and 16140373.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 13*r - 698. Give p(25).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -26*w**2 - 3 - w - w**3 + 16*w**2 + 9*w**2. Let g(p) = -2*p**3 + p**2 - 2*p - 6. Let l(r) = g(r) - 3*k(r). What is l(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 11*p**2 + 3*p + 6. Let k(b) = 12*b**2 + 4*b + 7. Let m(i) = -7*c(i) + 6*k(i). Find the second derivative of m(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of s**4 + 1505119*s**2 - 2*s - 6095594 wrt s?\nAnswer: 4*s**3 + 3010238*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 0*w + 3*w - 24 = 0, -3*v = w + 12. Let i(d) = -20*d - 96. Let o be i(v). Solve 2*c + 18 = -3*t, 2*c - 3*t = 10 - o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 5*l**3 - 28*l**2 + 36*l + 23. Let b(k) = -4*k**3 + 28*k**2 - 37*k - 22. Let t(h) = 5*a(h) + 6*b(h). What is the units digit of t(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r\/(r\/r**(-3\/2))*r)*(r\/(r**(-4\/7)*r))\/r*r**(-3)*r**3)**(-1\/3) assuming r is positive.\nAnswer: r**(-1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -24?  (a) -2  (b) -1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1860719306.\nAnswer: 2, 43, 21636271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/b**(-27)*b*b\/(b*b\/b**(2\/43)) assuming b is positive.\nAnswer: b**(1206\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:12 AM and 11:23 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11175609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 499594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 452656667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/1 - (-2 + 1). Suppose -2*v - 4*d - 24 = 0, 17 = g*v + 2*v - 5*d. Which is the second biggest value?  (a) v  (b) -0.3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -40, -80, -120, -160, -200?\n\"Answer: -40*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -3*d**2. Let m be -1 + 2\/2 + 2. Let c(w) be the second derivative of 0*w**2 + m*w + 1\/3*w**3 + 0. Determine c(s(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.8 - -0.2. Let t = -0.067 + 0.267. Let x be 0 - ((-12)\/(-54) - (-4)\/(-9)). Which is the nearest to v?  (a) t  (b) -2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41861 and 1248683?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -d**2 - 5*d + 3. Give g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w**4\/11 + 214*w**3\/11 + 336*w**2\/11 - 136*w\/11 = 0. What is w?\nAnswer: -34, -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3511380 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 35, 20, -31, -130, -289, -520?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 55.5982 + -62.598. Let z = 0.07 + -7.07. Let s = z - p. What is s rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 15 = 0, -8*c + 4*c - 5*a - 15 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 20754\/2317 at least -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) 0.1  (c) 1.3  (d) -3  (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34005 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1688905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**3 - 17*i**2 + 17*i - 8. Let x be g(16). Sort -2, 1, x.\nAnswer: -2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 + 17*f**2 - 18*f + 26. Let m be x(16). Let z be (-3 - 0) + -86*15\/m. Suppose 4*y - z = 2*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-3 + sqrt(1539) + sqrt(1539) + 2 + 1)**2 + sqrt(1539) + (-1 + sqrt(1539))*1 + -3 + sqrt(1539)*1) + -3.\nAnswer: -6155 - 27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95, -26, 1, -460, 5 in descending order.\nAnswer: 95, 5, 1, -26, -460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-84)\/(-196)*-7*(-7)\/966.\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 divided by 925?\nAnswer: 162\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 22236814*h**6 + 3*h**5 + 16231*h**2 - 462*h wrt h?\nAnswer: 2668417680*h**3 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1134 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 2:45 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 PM and 5:47 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -f**4\/8 - f**2 - 2*f. Let d(w) be the first derivative of h(w). Let n(p) = -p**2. What is d(n(t))?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/6)\/(776\/14550).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 4*s - 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**2\/7 + 120*v\/7 + 1800\/7 = 0.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 23530796579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 10:30 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 341 = -5*u, 2*u + 5*s = 61 + 72. Calculate the remainder when u is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -35\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 11) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2472 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1641.017 times 2\nAnswer: -3282.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3006 + -4.\nAnswer: -3.6994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1530604903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2.3?  (a) 4  (b) -13\/4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oor when three letters picked without replacement from roorooooooooo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 32*n + 68. Let c be q(34). Solve c = 8*t + 2352 - 2416 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 145*o - 16. Let a(i) = 242*i - 31. Let n(h) = 3*a(h) - 5*s(h). Give n(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75416740 and 132465?\nAnswer: 226250220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*i**3*x - 2*i**3 + 32*i**2*x + 20*i - 13115*x + 6574 wrt x?\nAnswer: -6*i**3 + 32*i**2 - 13115","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 - 3*y**2 + 6*y - 15. Let a be g(3). Find the third derivative of -8*x**2 - 145*x**a + 7*x**2 + 25 - 8 wrt x.\nAnswer: -870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 5)\/(-36) - 38\/12\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*q = -128 + 50 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 1.152  (c) -4  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 68*d + 543. Determine l(-11).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 520 + -520.321. Let y = -22.679 + h. Is 3 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1507206 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -8*p + 150. Let t be u(18). Let q be (4 - (3 + 18\/24))*t. Which is the third biggest value?  (a) -1\/5  (b) 11  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 384 + 369 + 372 - 1049 - 2*n**3 - n**4 + 2*n**2 to b + c*n**4 + x*n + m*n**2 + s*n**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -36044.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6597950 - 5?\nAnswer: 6597947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0*(-2)\/(8\/4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9491 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-30)\/33)\/(((-261)\/(-99))\/29).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-789916)\/(-2)*24\/48 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*j**2 - 44*j**2 + 57*j**2 + 1 - 36*j**2.\nAnswer: -23*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 369 = 42*v, -3*z - 2 = -2*v - 11 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 56 and 1148.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20709568 divided by -368.\nAnswer: 56276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 4*l**4\/9 - 16*l**3\/3 + 40*l**2\/3 - 112*l\/9 + 4 = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {l: 1, c: 4, r: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x and 1 l when four letters picked without replacement from {x: 5, l: 3, h: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.24 - 0.54. Let j = p - -0.28. Let h = j + 0.0291. Round h to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -10.8.\nAnswer: -3.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 168 and 1752.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 6\/2 + 0\/15. Suppose -r*p = 5*t - 3824, -3*p - 12 = -7*p. List the prime factors of t.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8684257949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 87422.\nAnswer: 5\/87422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 15.5 and -25025.\nAnswer: -25009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -105 - 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -4) + -3 - (17 + -8 + 20 - 39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 12\/25 of a kilogram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c. Let u(p) = 4*p**3 + 3 - p**2 - p**2 + 3*p - 5*p**3. Let l be u(-3). Let s(m) = -3 - 2 + 5 + l*m. Calculate s(d(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1941 + -1157. Suppose -m = k - 5*k. Find the third derivative of -9*w**2 - k*w**3 + 159*w**3 - 30*w**2 wrt w.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7 and 29612.\nAnswer: -207284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.22 in 4, -4, -0.477, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j. Let t(f) = 1396922*f. Give t(k(h)).\nAnswer: -1396922*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -3*k + 10. Let c(j) = 17*j - 1. Let v(o) = 8*o - 1. Let r(y) = 6*c(y) - 13*v(y). Let f be (-3 + 2)\/((-1)\/(-7)). What is f*r(p) + 5*g(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 502769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**4\/3 + 19*y**3\/6 + 4502*y**2. Give p(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 2*y - 2 = 0, -3*x + 10*y - 11*y = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 4918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 540452?\nAnswer: 540445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m = 13*m - 4. Let x be 4*3\/4 + (m - -1). Suppose -15 + 50*u + x*u**4 + 0*u**4 + 4*u**4 + 30*u**3 - 60*u**2 - 9*u**4 = 0. Calculate u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 160 - 73. Let c = b + -48. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 2a78?\nAnswer: 2a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -65*d + 3079 - 3079. Let v(u) = 2*u. What is z(v(r))?\nAnswer: -130*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 569949 - 361760. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of -c**3\/27 - 95*c**2\/6 + 286*c\/9 + 565. Determine f, given that n(f) = 0.\nAnswer: -286, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 216010324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**2 + 5*n - 1. Let k be o(2). What is the third derivative of -3*b**5 - 3*b**2 + 4*b**2 + 4*b**2 + 0*b**k wrt b?\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/23)*p)**(-25) assuming p is positive.\nAnswer: p**(-525\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*a**4 + 44*a**3 + 1522*a**2 - 1 wrt a?\nAnswer: 96*a + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 3*x + 4. Let h be u(-6). Let t = h + 6. List the prime factors of (48\/(-14))\/(t\/84).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -0.04  (c) -0.1  (d) -0.06  (e) 0.03  (f) -0.059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t**2\/5 - 7716*t - 77168\/5 = 0 for t.\nAnswer: -2, 19292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 84*h**2. Let i(w) = -2*w**2 - 4. Let y(q) = -7. Let p(u) = -2. Let o(s) = -4*p(s) + y(s). Let m(j) = -i(j) - 4*o(j). Determine b(m(g)).\nAnswer: 336*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3294013 - -4?\nAnswer: 3294017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert ca68 (base 15) to base 14.\nAnswer: 11888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -27.2 from -0.0240784.\nAnswer: 27.1759216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -996, -1954, -2878, -3762, -4600, -5386, -6114?\nAnswer: -6778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 13*j**2 - 11864*j + 47437. What is h(4)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2\/d)**(-1\/44)*(d*d**(1\/2))**27 assuming d is positive.\nAnswer: d**(1781\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 times 0.0029?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 54\/7, 2\/31, -1\/10 in decreasing order.\nAnswer: 54\/7, 2\/31, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/1144 and -33\/64.\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6877 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -18c39 (base 15) in base 10?\nAnswer: -80379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 166876 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 459398912 divided by -4\nAnswer: -114849728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-75)\/200*(-2)\/(-3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 2\/15*y**4 - 4\/15*y**3 + 0*y**2 + 0*y.\nAnswer: -2*y**3*(y + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 30*q + 130. Let k be o(-13). Let y = -242 - k. Solve -3*j + y = -9*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8145123)\/(-995708) + 2\/((-16)\/66)\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -0.4, 7, 88986, 5, -3 in increasing order.\nAnswer: -11, -3, -0.4, 5, 7, 88986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*f**3 + 8724217*f**2 - 45206744*f wrt f.\nAnswer: -48*f + 17448434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**3 + 23*l**2 - 26*l - 49. Let d be u(-24). Let m(b) = -53*b + 7. Is m(d) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 1. Calculate v(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18\/13*v - 48\/13*v**2 + 4\/13 + 2*v**3.\nAnswer: 2*(v - 1)**2*(13*v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**3 - 228038*f**2 - 1596309*f - 1368270 = 0.\nAnswer: -6, -1, 228045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -991429, -3965704, -8922829, -15862804, -24785629, -35691304, -48579829?\n\"Answer: -991425*r**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*l + 3*l + l)*(2*l + 0*l + 0*l) + ((3 - 1 - 5)*(-l + 4*l - 5*l) + 7*l + l + 3*l + (-1 + 1 - 1)*(-2*l + 0*l + 3*l))*(l - 2*l - l).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 4*t**3 - 2*t**2 + t. Let w be o(1). Let q(f) = -5*f + w*f + 3*f + 0*f. Let n(m) = -2*m**2 + m**2 - 2*m**2. Give n(q(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -5. Let u = a - 1. Let p = -11 + u. Sort 4, 0.2, p.\nAnswer: p, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 972, 8175, 27658, 65559, 128016, 221167, 351150, 524103?\n\"Answer: 1023*y**3 + 2*y**2 + 36*y - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = p - 2. Suppose -2*j = g + 2, 3*g = j + 2*j - 15. What is the nearest to j in -4, 4\/5, p?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 1 - 50 + 61*i + 26*i + 23. Let q be j(-4). Let s = q + 566. Is 30 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 2\/7  (c) -846\/457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 - 9771?\nAnswer: -9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(-18)\/192 - (-157)\/8. What is the greatest common factor of d and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 + 10 + (-2 - -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7315694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -7 + 11 + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 158 a factor of 9881636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -8201050 > -8201051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.519766 rounded to 3 dps?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + 16 + 14 - (343 - 151)?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*s = -2. Let y be (5 - s - -1) + -2. Suppose y*u - 4*u = 20. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 82*t - 975. Calculate q(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 96 and -0.7067.\nAnswer: -67.8432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4) + 45\/10. Factor 440*p**3 - 2*p**y - 444*p**3 - p + p + 6*p**4.\nAnswer: -2*p**3*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -75, -177, -315, -483, -675, -885, -1107, -1335?\n\"Answer: d**3 - 24*d**2 - 37*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-2\/11)*m)\/m**(-1\/10)*m**(-2\/23)\/m**(-10\/11) assuming m is positive.\nAnswer: m**(6933\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 4*x. Let b(u) be the first derivative of u**2\/2 - 5. Let h(d) = -d. Let n(w) = -3*b(w) - h(w). Give n(r(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6142 != 43000\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q + 1 + 11 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 96193 or 96194?\nAnswer: 96194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 112846259?\nAnswer: 112846259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 - -51. Suppose t - 188 = -6*y. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t**2. Let h(w) = -3*w + 1. Let g(f) = -627*f + 198. Let r(d) = g(d) - 198*h(d). Determine p(r(b)).\nAnswer: -2178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 76*h - 649*h - 1635*h - 1566*h to the form b + u*h and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s**3 + 2*s**3 - 4 + 4*s + s + 10 + 6*s**2. List the prime factors of v(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 276291583 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-18 + 40) - -32?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 + -0.23. Suppose w - 86 = -5*i, -3*i = -5*w + 33 - 107. What is the closest to i in t, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/63)\/(-4 - 29\/(-6)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 80  (b) 0.9  (c) -2\/11  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -408, -1122, -1846, -2586, -3348?\n\"Answer: -r**3 + r**2 - 710*r + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.623*-0.5.\nAnswer: -0.3115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - i - 36 = 0. Suppose 3*y - 24 = 84. What is the highest common divisor of y and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 q when two letters picked without replacement from {b: 1, t: 2, e: 1, z: 1, q: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 396408724?\nAnswer: 2, 2801, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36\/(-5) - -6)*(-10)\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2505014 to the nearest integer?\nAnswer: 1583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -11*u + 3*u + 2579871*u**3 + 1 - 2579886*u**3. Let v(j) = -29*j**3 - 15*j + 2. Calculate -11*q(a) + 6*v(a).\nAnswer: -9*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + 10. Is 13 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.9753 to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1045, 1705, 2331, 2923, 3481, 4005, 4495?\n\"Answer: -17*g**2 + 711*g + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 0.04  (b) -80\/13  (c) -93  (d) 3  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*b - 21*b = 25. Sort 1, 3, b, -3 in increasing order.\nAnswer: -3, 1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 3\/4  (b) -1  (c) -0.2  (d) 0.182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bvbbbvvqbvqqb. Give prob of picking 2 q, 1 b, and 1 v.\nAnswer: 72\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 4*k**2 - k + 4. Determine q(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 228.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o = -8, 73*s - 77*s = -o - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1582, 1580, 1576, 1570?\n\"Answer: -d**2 + d + 1582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 8250480 (base 9) to base 12\nAnswer: 1583b23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1755.1417 * 2\nAnswer: 3510.2834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 3:52 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.27 - 0.07. Let l = i - 0.6. Which is the third biggest value?  (a) -1\/3  (b) l  (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the second derivative of -7*i**3\/6 + i - 16. Let y(k) = 6*k + 1 - 1. Determine y(x(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(392)*-1 + sqrt(392) - sqrt(8))\/(-2*sqrt(324)).\nAnswer: sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = -2*i - 5*n, -166*n + 168*n - 22 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6379100 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g + 490 + 1775. Suppose 3*f - g - 267 = 0. Suppose -2*n - n = -f. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/48 - 153\/204.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 4*o = -22, k + o - 5 = 3. Let v be (-12 + k)*(34\/(-3))\/1. Let r = v + -29. Solve 3 = c - r*x, -x - 3 = -0*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25015556*s**2 + 5781546*s?\nAnswer: 50031112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -a86 (base 12) in base 11?\nAnswer: -1182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fi when two letters picked without replacement from {t: 4, i: 1, y: 2, f: 6, s: 3, w: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 60*s**2 - 19. Let u(n) = -n**2 - 65. Calculate u(f(w)).\nAnswer: -3600*w**4 + 2280*w**2 - 426","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 43 - 24. Let x(c) = -2*c**3 - 4*c**2 + 6*c - 2. Let q be x(-4). Calculate the greatest common factor of q and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 3*n = 21, 0 = 2*v + 2*n - 3 + 7. Suppose -17 + v = -2*k. Differentiate -7*f + 3*f**3 - 3 + 14*f - k*f wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 + (-12 - -3) + 5\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/5*10\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*c = 110, -5*t - 5 = -3*c - 161. Let r(n) = n**3 - 5*n**2 + 4*n + 2. Let j be r(5). Let m = 38 - j. What is the remainder when t is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3304.336 seconds to nanoseconds.\nAnswer: 3304336000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 102.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 10:47 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 211219 and 0.5.\nAnswer: 105609.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -33. Let t = a + 30. Let q = 25 + t. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-1\/3)*k\/k**(1\/3)*k)**28)**17 assuming k is positive.\nAnswer: k**(1904\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 255*n = -57*n + 918840. What is the highest common divisor of n and 190?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*q - 31 - 32 + 62)*(19*q + 29*q + 14 - 44*q).\nAnswer: -68*q**2 - 242*q - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1583 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 341*a + 9143 = 118*a for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 9 divided by 13956\nAnswer: 3\/4652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/760)\/((-15)\/(600\/5))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 5 = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-358)\/(-4))\/(20\/40) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 - 16733390*w - 14000317044605.\nAnswer: -5*(w + 1673339)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*f - 15*f - 13*f)*(7 - 12*f**2 - 7)*(-6 + 3 - 2) in the form l*f**3 + d*f**2 + k*f + w and give l.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*x**2 + 3*x**2 + 3*x**2)*(2*x + 0*x - x) - 2*x**3 + x**3 + 2*x**3 + (53 - 7*x**2 - 53)*(-x + 0*x + 0*x) to h*x**3 + p*x**2 + o*x + z and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 195 + -171. Calculate the remainder when (22\/(-6))\/(2\/(-78)) is divided by d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p*p*p**(2\/5)*p))\/p)**(-4\/13)*(p**(3\/2))**(-8) assuming p is positive.\nAnswer: p**(-712\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(5\/3)*s**(1\/44)*(s**(-3\/32)*s*s)\/(s\/s**44) assuming s is positive.\nAnswer: s**(49205\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {h: 2, k: 4, l: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -96.931 times -182?\nAnswer: 17641.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 116282392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k + 11 = -3*o, 15*k + 4*o + 25 = 10*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 2:12 PM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 284 - -439. Does 42 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 3*c**3 + 1993326*c**2 + 331166191764*c + 17877162289032 = 0.\nAnswer: -332194, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2858 + -4113. Let l be s - (-4 + 3 - 2). Let g = l - 6948. Round g to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the first derivative of -1\/2*r**2 + 1 - 1\/3*r**3 - 11*r. Determine q(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, 1\/3, -0.05, -2, 0.26.\nAnswer: -3, -2, -0.05, 0.26, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 3*m**2 + m**3 + m + 0*m**2 - m**2 - 1. Let d = 29 + -31. Give a(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 744810 and 7015.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 - -40.9. Let t = -2 - i. Let z = -18 - -14. Put t, z, 2 in ascending order.\nAnswer: z, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*x**6 - 6173*x**4 + 93*x**3 + 2776222*x**2.\nAnswer: -240*x**3 - 148152*x + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 1656 = -3*z, -8*z - 1089 = -10*z + 5*w. Is z a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2164116697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 k when three letters picked without replacement from {b: 1, k: 4, g: 1, l: 1, p: 6, m: 2}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*c + 656 = -24*c + 3*v, 5*c = -5*v + 810. Solve 163*r - c*r + 21 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.02 - 0.38. Let k = 2 - 1. Let t(q) = -3*q**2 - 1. Let i be t(k). What is the smallest value in j, 2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1219839 to the nearest ten thousand.\nAnswer: 1220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from yguggspugnnu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -215072*k*u**2 - 77*k*u + 41*k + u + 1 wrt u?\nAnswer: -430144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*1*sqrt(76) - (sqrt(76) + -1*sqrt(76)*4))\/((-2*sqrt(176))\/sqrt(11)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 488587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - 1183\/(-196) - 530\/1855?\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116*w + 82*w = 2093256. What is the ten thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -419.66 + 7.66. Is 0 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 9*v**2 + 74*v + 55. Give u(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/30)\/(-2 + 168\/75). Let y(j) be the second derivative of 1\/12*j**4 + r*j**3 + j**2 + 0 + 7*j. Give y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (13195\/1120*8)\/(208\/128)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6570533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -234\/23 equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 231 and 4219061.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 12 + 18, 5*j + 4*s = -33 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 51 - 25. Let t = y + -21. Suppose -26 + 6 = -4*c - t*n, 3*n = 0. Solve -c*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12 is divided by (-1)\/4 + (-594)\/(-72)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*(3582\/396 + -9)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**3 + 5*s**2 - 3. Let f be j(5). Let c = f - 189. What are the prime factors of 1 + c - 9\/(81\/18)?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 687, 688, 689?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0 = -57. Let l = -8 - z. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 8\/1251  (b) 60  (c) 1  (d) 4  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*j - 43*j. Let n(h) be the second derivative of 2\/15*h**6 + 6*h + 0*h**3 + 0*h**4 + j*h**5 - 9\/2*h**2 + 0. What is the derivative of n(t) wrt t?\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**3 + 0*i**3 - 5*i**3)*((-4*i + 6*i + i)*(-5*i - i - 5*i) + 14*i**2 + 23*i**2 + 7*i**2).\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -816*t**3 + 18*t - 24 wrt t?\nAnswer: -4896*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-15)\/(-4) - (104\/8)\/(-52). Let f(v) = -v**3 + 5*v**2 - 12*v + 30. Let i be f(p). Which is the third smallest value?  (a) -0.5  (b) i  (c) 2.1  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1))\/f)**(-2)*f**(-1)*f*f*f*(f\/f**(-2\/17))\/f*(f**(2\/5))**(-2\/11)\/(f**(-6)*f*f**(-2\/9)\/f) assuming f is positive.\nAnswer: f**(86398\/8415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/9334 and 131\/1632.\nAnswer: 7616544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 2.14. Let h = -1.04 - w. What is h rounded to one dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*y + 43*y = -45. Factor 4\/3*r**3 + 0 + 0*r**2 + 1\/3*r**y - 4\/3*r**4 + 0*r.\nAnswer: r**3*(r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) -0.092  (b) 6\/187  (c) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -18. Let j(z) = 5*z**2 - z - 3. Let c be j(i). Suppose -5*n + 94 = 4*w, -3*n = -n + 5*w - 41. Calculate the highest common divisor of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -0*k - 2*r - 1600, 0 = 5*r - 10. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 5*d + 3*w + 10, -6 = -3*d + 3*w. Let i be 1\/(11 - d) - 3022\/(-18). What is the greatest common divisor of 224 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*t - 6 = -23*t + p, 0 = p + 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24.36 - 0.64. Let q = z + 24.999932. What is q rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/2*14\/(-28))\/((-17)\/408)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 2) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -97 + 100 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -1. Let s = 3\/2 - v. What is the common denominator of (-7 - -6) + 126\/20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/510 and -77\/306.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 537 + 0?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (-169)\/30 - (-53 - (-1853)\/34)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*d = -32*d - 1404. List the prime factors of d.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 717415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -133.0580483 to the nearest integer.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 296 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11618564 by 2904641.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = 234 + 186. What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26692\/9 less than or equal to 2965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*z + 44*z - 90 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176 = -35*s + 19*s. Suppose s*c - 2671 - 68 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - -1 - (-500 + 474).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1249 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 + (-4)\/2 - (3 + -19). Let o be 6\/i + 224\/(-294). Which is the closest to -1?  (a) o  (b) 2  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41815 is divided by 216.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 31. Let a = m - 25. Let j = 24 + -71\/3. What is the closest to a in j, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9790.033g to nanograms.\nAnswer: 9790033000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10673171.\nAnswer: 109, 97919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 155 by -2.\nAnswer: -155\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 62 = -4*a - 22. Let d = a - -20. Is d at most -2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/(-7) + (-16)\/140. Let n = -7.7 - -8. Let b = -0.21 - -0.61. Sort b, c, n.\nAnswer: c, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0*o + 2*o, -5*o + 3 = q. Let f be 22\/(-28) + ((-32)\/(-14) - 2). Do q and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -2*q + 35. Let h be u(10). Suppose 0 = 4*x - 3*l + 3, 4*x - 3*l + h = -4*l. Put x, -5, 7 in increasing order.\nAnswer: -5, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 14430 = -4*j, -164*j + 162*j - 72114 = -5*a. What are the prime factors of a?\nAnswer: 2, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (999\/4329)\/((3\/6)\/1*-3).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -780 = -3*p + 39. Does 39 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 9:12 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4 - 14\/(-4))*-792. What is the highest common factor of f and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 5*z - 27, 4 = -d + 4*z - 14. Find the third derivative of 3*t**6 + 0*t**6 + 3*t**6 + 2*t**d wrt t.\nAnswer: 720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*g**3 - 125*g**2 + 61*g - 369613.\nAnswer: 6*g**2 - 250*g + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -367 - 2844 = -131*d + 4387 for d.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43844 divided by -21922.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -45*s + 44*s - 103*s + (3 + 3 + 0)*(0 + s + 0) - 2*s + 2*s - 3*s + (0 - 1 - 1)*(-2*s - 4*s + 5*s).\nAnswer: -99*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0415685565 to six dps.\nAnswer: 0.041569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -14*f**3 + 3*f**2 + 3*f - 3. Let l(t) = 363*t**3 - 77*t**2 - 77*t + 77. Determine 3*l(g) + 77*q(g).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (10\/(-15) + 38752\/(-48))\/2. Which is greater: h or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 10*j - 2 + 2.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 5:45 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 49194514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = -28*b + 110. Put -33, -5, b in decreasing order.\nAnswer: b, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4723 (base 8) to base 4\nAnswer: 213103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5088, 11451, 17816, 24183, 30552, 36923, 43296?\n\"Answer: c**2 + 6360*c - 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1308866 is divided by 6925?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237977 is divided by 382?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 10000 (base 3) in base 9?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 - 11*w - 2. Calculate c(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 75055 < 74921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 != 1428\/2075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -2*f**2 + 338*f - 602. Let a be j(167). Solve 108*r + a = 97*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 2*h**2 + 2*h - 1. Let y(x) = 1. Let t be (-112)\/84 - ((-56)\/(-12) + -5). What is t*q(m) - 5*y(m)?\nAnswer: -m**3 - 2*m**2 - 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13149 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -365 - 115 - 24*o**2 - 146.\nAnswer: -24*o**2 - 626","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/((-1 - 0) + 0). Suppose -s = -4*q + q. Find the third derivative of -5*z**2 + 0*z**3 - z**5 + 2*z**q + 0*z**3 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**5\/4 - 61*h**4\/4 + 193*h**3\/2 - 104*h**2 - 216*h = 0 for h.\nAnswer: -1, 0, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -55 times -16399?\nAnswer: 901945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-5136)\/1070)\/(4\/(-5)). Let s(y) = 2*y**3 - 15*y**2 + 17*y - 3. What is s(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 4 - 24*g**3 - 7 + 4*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46947541 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 11:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/6 - ((-567)\/(-54) + -11). Which is the nearest to -0.07?  (a) -0.3  (b) -20  (c) 3  (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(297\/(-477)) - -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 0) + 7 + -3. Suppose 109 = r*n - 41. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 558*v - 608*v = 300. Let z(k) = k - 4. Let n(d) = -7*d + 23. Give v*n(c) - 34*z(c).\nAnswer: 8*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + z + 140 = 4*b, -5*b - 78 = 2*z. Let x be (-2)\/4 + z\/(-8). Suppose x*y - y - 20 = 0. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 3*j + 21*j**3 - 20*j**3 + 4*j - 3*j**3 + 3*j**3 - 2*j**3 + (45*j**2 - 8*j**2 + 22*j**2)*(0*j + 4*j - 2*j) + 2*j**3 + 2*j**2 - 2*j**2.\nAnswer: 119*j**3 + j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 24 = 4. Suppose i - a = -2. Calculate the remainder when i is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 486\/769939 or 0?\nAnswer: 486\/769939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1312858 is divided by 17050.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 7*k**2 - 3*k - 2. Let y(x) = -5 - 2*x**2 - 4*x**3 - 6*x**2 - x**2 - 13*x**2 - 8*x. Let n(g) = 7*o(g) - 2*y(g). Determine n(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1203890, -1203904, -1203908, -1203896, -1203862?\nAnswer: -1203800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 26481 and 7917?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/32*32\/8)\/(1720\/16))\/1\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37310?\nAnswer: 2, 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3437244?\nAnswer: 2, 3, 95479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1836571 + 1263621. Round w to the nearest one thousand.\nAnswer: -573000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of -v**5\/20 + v**4\/12 + 3*v. Let q(j) = -5*j**3 + j**2 + 7. Let g be 5\/7 + 2\/7. Let y(b) = g*q(b) - 6*f(b). Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2\/173 - 159\/1211. Put -0.1, -3, 2\/13, a in descending order.\nAnswer: 2\/13, -0.1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1972)\/(-102)*(2 - -37)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t - 2*t + t + (0*t + 3*t - 4*t)*(-2 - 1 - 3)*(-11 + 42 + 7).\nAnswer: 226*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(228) + sqrt(228)*1 + sqrt(228)) + sqrt(228))\/((-1*sqrt(768) - sqrt(768)) + sqrt(768)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2822233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -212*d + 115. Let z(g) = -423*g + 233. Let w(l) = 9*u(l) - 4*z(l). What is the derivative of w(y) wrt y?\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 + 6*s - 2. Let v be m(-6). Let b(y) = -33 + 140*y + 33 - 139*y. Determine b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 76301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 0*t - t - 31878*t**2 + 31880*t**2)*(3*t + 3*t - 4*t).\nAnswer: 4*t**3 - 2*t**2 + 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 + 2*r**2 + 3*r**2 - 4*r**2 - 2*r**2 + (4 - r - 4)*(26*r + 12*r + 19*r) - 4*r**2 + r**2 + r**2 + 3*r**2 + 5*r**2 - 4*r**2.\nAnswer: -56*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36169 - -37911. Calculate the remainder when x is divided by 159.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 956246106.\nAnswer: 2, 3, 159374351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 131680 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 7189 divide 1789557051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3305742 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/(-22))\/(9\/((-7236)\/(-6)))\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x + 3 - 72 + x**2 + x**2 + 34 to w*x + i + k*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -36 divided by -82847?\nAnswer: 36\/82847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 PM and 4:11 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7715 + 33817 = -3*m. Let x = m + 955219\/69. What is the common denominator of -14\/11 and x?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 10*m + 399. Determine r(-17).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14132 is divided by 1488?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 245692 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: b\"What is the rth term of 244, 182, 78, -68, -256, -486?\n\"Answer: -21*r**2 + r + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 406 and 232.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 PM and 4:46 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 + 4*w - 11. Is p(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3228040 divided by 4.\nAnswer: 807010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -705*i**2 - i + 4*i**2 - 1290 + 159*i**2 - 1003*i**2 wrt i.\nAnswer: -3090*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5472626 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 4*f + 511 + 141, -q + 2*f + 163 = 0. Let u = q + -74. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.71 - -0.4?\nAnswer: -12.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -26, -53, -80, -107?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 557054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 841*15\nAnswer: 12615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + 82214ab?\nAnswer: 82214b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 + 14 = 4*o, -7*t + 3 = -o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 - 56 - 36)*(-1 + 2*l + 1 + (-4 - 1 + 3)*(-2*l + 6*l - l) - 3*l + 4*l + 0*l - 1).\nAnswer: 234*l + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c**2 + 13*c - 20. Let f(t) = -t**2 + 6*t + 9. Let l be f(6). Calculate the remainder when 76 is divided by y(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 492555 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) -0.05  (c) -0.5  (d) -2\/3  (e) -18.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 + 0. Suppose v = -3*a - 3. Let g be 2\/(-20)*(5 + a). What is the closest to 0.1 in 2\/5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 41 = 10*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 + 12*o - 2. Determine j(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 4*w = 3*w + 6, 4*v - 22 = -3*w. Suppose 4*h + s = 220, -4*s + 212 = v*h - s. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -1. Let o(m) = 44*m + 3. Give 3*b(a) + o(a).\nAnswer: 44*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 9:22 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05945 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*a - 1 = -12. Let v(l) = -2*l + 2. Let r be v(a). Solve g - r*g = 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -9. Sort -3, g, 4, 1 in decreasing order.\nAnswer: g, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 755276735?\nAnswer: 5, 79, 1912093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - q**2 + q + 1. Let l(s) = 21*s**3 - 7*s**2 - 3*s - 3. Let o(g) = -3*f(g) - l(g). Find the third derivative of o(b) wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0192 + -3733.791416\nAnswer: -3733.772216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n**2 + 36*n - 199. Let v be d(7). Solve -5*y + c + 3 = v*c, -3*y - 4*c = 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/8 + 93*n**2\/8 + 1911*n\/8 - 12005\/8.\nAnswer: (n - 5)*(n + 49)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 1. Let t(r) = -5*r**3 - 2*r**2 + 10. Let k be ((-13)\/(-3) - (-2)\/3) + -4. Give k*t(b) - 3*l(b).\nAnswer: -2*b**3 - 2*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 15 = 2*x, 0 = 4*p + 4*x - 96. Calculate the remainder when 73 is divided by p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 3)*(3 - 3 + 3)*(-29*n + 8*n - 7*n) - 2 + 2*n + 2 to a + y*n and give y.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 2*a**2 + 69*a + 314. What is g(-7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 27 - 6 = 2*u, 2*u - 9 = -5*z. Let s = u - 2. Suppose -4*m - 41 = -53. Calculate the remainder when s is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3407?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 78*d + 1266. Calculate n(-12).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11 + -23233032?\nAnswer: -23233021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + (-14)\/8 - (-1653)\/348. Solve -x = n*x + 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*-1) + sqrt(77) - sqrt(77))*2)\/((sqrt(110) + (sqrt(110) - -1*sqrt(110)))\/sqrt(10))*6.\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 3*o - 2*h - 5, -h = 4*o + 10. Let y be o\/2 - (-9)\/(-24)*-6. Which is the fourth smallest value?  (a) 8  (b) y  (c) 0.1  (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) 5\/4  (c) 0.1  (d) 38.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8256, 8239, 8220, 8199, 8176, 8151, 8124?\nAnswer: 8095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 20 = -5*a. Find the third derivative of 2*o**6 - 3*o**2 + o**2 - 18*o**6 + a*o**6 wrt o.\nAnswer: -720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of y**5\/30 + y**4\/2 + 33*y**2 - 13*y - 4. Let r(z) be the first derivative of n(z). Let f(a) = a**2. Determine r(f(i)).\nAnswer: 2*i**4 + 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13)\/(-78) + 334\/12. Suppose 4*l = -w - 8. Let j(z) = 15*z**2 + 9. Let b(a) = 7*a**2 + 4. Give l*b(u) + 4*j(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*l - 44 + 7, 3*r - 59 = l. Calculate the remainder when r is divided by 0 + 7 + (3 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -493 - 515 = -4*g. Let s be g\/28 + -1 + 0. Solve 8 + 25 = -5*j - 4*k, -2*j + k = s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5861, 5873, 5899, 5945, 6017, 6121?\nAnswer: 6263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11465*s**5 - 6*s**4 + 221900*s**2.\nAnswer: -687900*s**2 - 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/3*12\/16. Let f(g) be the second derivative of 7*g**4\/12 - g**3\/2 + 3*g**2\/2 + g. Calculate the remainder when f(t) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + (-130)\/(-24) - 428\/(-1712).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1679*-2916.\nAnswer: -4895964","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/4)*s*s)**48\/(s**(1\/4)\/(s*s*s**(-2))) assuming s is positive.\nAnswer: s**(335\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -3*p**5 + 4419*p**4 - 361734*p**3 - 17676*p**2 + 1446984*p = 0.\nAnswer: -2, 0, 2, 87, 1386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 743*u**2 - 4 - 185*u**2 + 3 - 279*u**2 + 3.\nAnswer: 279*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -12*o**2 - 2*o - 1. Let w be s(-1). Suppose -3222*b - 4*j = -3221*b + 48, 0 = b - 5*j - 33. Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1425918931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -319385 - -477274. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2864635?\nAnswer: 5, 572927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000 - -1101010001?\nAnswer: 1101100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.486 + -1.186. What is the smallest value in -0.36, i, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 13. What is the nearest to t in 2\/5, 4, -0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (-4 + -1 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -172  (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1968 divided by -492.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-53 + 36 + (-164)\/8)\/10.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xamd when four letters picked without replacement from {l: 1, a: 1, w: 2, x: 1, d: 2, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 17118 - -58?\nAnswer: 17171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3\/77?  (a) 4  (b) 2  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**2 + 7*f - 6. Let i = -3 - -9. Let c be l(i). Suppose -5*j + 344 = 4*k, -5*k + 3*j + c*j + 467 = 0. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 31\/3570 and -37\/714?\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 7*o = -10*o - 15, -6 = 2*n + 2*o. Let q(j) = 4*j - 5. Let r(c) = -c + 1. Let u(h) = n*r(h) - q(h). Let i(k) = -2*k + 4. Determine 4*i(p) - 9*u(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/142 and -101\/12.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -668*b*m*s*x**2 - 9*b*m*x - 1165*b*s**3*x - 4*b*s**3 + 3*m*s*x + 3*m + 889*s**3*x**2 wrt x?\nAnswer: -1336*b*m*s + 1778*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 430 - 473. Let a(p) = -9*p - 210. Calculate the least common multiple of 18 and a(f).\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + (sqrt(128) - (sqrt(128) - (-1 + sqrt(128)))) + 5 + (sqrt(128) + 0)**2)*-4.\nAnswer: -1536 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 + -0.3. Let w = 0.39 + 0.01. Let k = -41\/45 - -7\/9. What is the biggest value in w, k, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4.6 + 4.8. What is the third smallest value in -2\/13, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (29*(-6)\/(-5))\/((-837)\/(-1953)*(-266)\/(-285))\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -36794 smaller than -36798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 907891751 a multiple of 2052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 11:51 AM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*t - 12*t - 9*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 922848 + 334384 = -9*j, -261496 = -4*j - 5*s. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21021 - 42037 + 21016 + 27*g**3 + g.\nAnswer: 27*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-75) + (-10045)\/525 + 4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4458937244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1, -8.1, -2\/249, -6\/61, 4, 2?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 88 + 64\/5*g + 2\/5*g**2.\nAnswer: 2*(g + 10)*(g + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 93 and 6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 17644354 and -0.2.\nAnswer: 17644353.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3984835263 to the power of 1\/3, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 39 - 25. Solve 15*h**2 - 11163 + 366*h - 11*h**2 - j*h**2 + 7*h**2 = 0 for h.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/13  (b) -4\/7  (c) -1\/4  (d) 0.4  (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 104 divide 66560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**2 + 25*r - 146. Suppose 0 = 10*n + 27*n - 168 - 128. Calculate s(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3659 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**3 + 12*q**2 + 8*q - 11. Let h be k(9). Which is the third smallest value?  (a) 3\/2  (b) h  (c) 5  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*0.3829\nAnswer: 0.03829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -4*x - 25. Let v be a(-8). Calculate the greatest common divisor of 77 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*o + 11 + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600519585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 739 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/435 and 17\/18.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656060733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3228514 and 20.\nAnswer: 32285140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*n + 23*n - 258*n - 110*n to z*n + a and give z.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.7?  (a) -2\/3  (b) 4679  (c) 10  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = 2*f + 3, 3*f + 53 - 42 = -5*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 - m)*(3 - 8 + 13).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + -10 - -2 - -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -5*r + 42104, 12*r - 10*r - 2*x - 16832 = 0. List the prime factors of r.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 + -1)\/(4 - -1). Let u = 1.6 - 0.5. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -185 = 55*v - 625 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-24)\/(-32))\/((-2)\/16). Which is greater: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -i**2 - 93*i + 1278. Calculate a(11).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2949540.47 rounded to the nearest 100?\nAnswer: 2949500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 529?  (a) -2  (b) -4  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 190, 787, 1774, 3145, 4894?\nAnswer: 7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -2*i - 2*c - 9, -5*c - 32 = 4*i. Suppose -5*f + 59 + 16 = 0. Let o = i + f. Solve o*x = -p - 10, 0*x + 18 = -3*p - 3*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 1*sqrt(11) + 0 - ((sqrt(176)*1 + sqrt(176))\/sqrt(4))\/sqrt(4).\nAnswer: -5 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 7  (b) -5  (c) -80  (d) 646\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n - 4. Let j(s) = -s**2 - s + 2. Let d be j(4). Let o be (2\/(-3))\/(4\/d). What is the remainder when 15 is divided by c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 20*u + 3. Let t be n(-20). Solve 0 = -4*c - t*r - r + 12, 2*c - 6 = 5*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -4. Let o be (-3)\/((-9)\/(-6)) + -2. Let s = -3 - o. What is the highest common factor of d and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 81  (b) -5\/4  (c) 316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the first derivative of -j**3\/3 - 3*j**2 - 15*j - 2247. Let s = 4 - 10. Determine g(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-1\/7))\/p*p)**(-35)\/(((p**0\/p)\/p)\/p)**3 assuming p is positive.\nAnswer: p**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6048600 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - -1202?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -74 + 77. Suppose -2*a + 8 = 3*w, -3*a + 7*w - g*w = 5. Solve 0 = 3*c - a + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -12\/39360965 and 97\/114366.\nAnswer: 236165790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/9*(-3 - 0). Suppose y*l = 3*l - 2. Find the common denominator of -1\/9 and 0 - l - 61\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45826983 is divided by 45826895.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Total of 63.8 and -0.046.\nAnswer: 63.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*y + 231 = 855. Solve -2*h + 31 = -z + y, -h = 2*z + 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 644698.\nAnswer: 2, 322349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -61.0865 rounded to 1 decimal place?\nAnswer: -61.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*q - q - 16 = 0, 0 = -4*v + 4*q - 16. Calculate the remainder when (-10)\/((-120)\/(-1458))*v\/3 is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -3*u, u = 3*s - 0 - 7. Let y = 0.04 - -1.96. Let l = 5 - y. What is the second biggest value in 5, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 254593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of 6672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52968 or 52969?\nAnswer: 52968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l**2 - 175*l + 10. Calculate the smallest common multiple of o(44) and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12741+-0.7130372\nAnswer: -0.8404472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1256051 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 2*l**3 + l**2 + 3*l + 2. Let f be p(-2). What is the units digit of (-4)\/f - (-81)\/12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3600 divided by -16?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -q**2 - 3*q. Let w be f(-2). Suppose -49*v - 3*k = -48*v + 7, 3*v + 9 = -3*k. Let n(x) = -3*x - 3. Let o be n(v). Solve o*r = w*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/12 and 77\/1516?\nAnswer: 4548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + c - 39. Let r(p) = -p**2 + p - 26. What is -5*n(q) + 7*r(q)?\nAnswer: -2*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) 2\/11  (c) -0.239  (d) -1\/803  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (0 + sqrt(125) + 2)**2.\nAnswer: 20*sqrt(5) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33652627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 134849 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0 + 24*n**4 - 2*n**2 + 23*n**4 - 48*n**4 as p*n**2 + w*n**4 + d + f*n + r*n**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1200 is divided by 47.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45569639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 3*z + 45 = -7*m, -3*m - 3*z = 33. Let o = m - -27. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2 - -3)\/4)\/((-63)\/(-56))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -28\/171 - 16\/57. Let l = 17 - 5. Let c = -12.4 + l. What is the smallest value in p, c, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -5*w**2 - 17596870*w - 35193720 = 0?\nAnswer: -3519372, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in -1\/2, -5\/4, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -102936 by -6.\nAnswer: 17156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/132 and -49\/15884?\nAnswer: 47652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -66\/227?\nAnswer: -66\/227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-12))\/((-1)\/3). Let b(l) be the second derivative of -3*l**5\/20 + l**4\/12 - l**2\/2 - l. Let q be b(a). Is q less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**2. Let j(c) = 4*c + 2. Give a(j(m)).\nAnswer: -16*m**2 - 16*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand h**3 + 0*h**3 - 2*h**3 + (-3*h + h + 4*h)*(-2*h**2 + 4*h**2 + 0*h**2) + (-2 + 2 - 2*h**2)*(2*h - 3*h - 5*h).\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6310 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 3:14 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 19, 30, 45, 64, 87?\n\"Answer: 2*y**2 + 5*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**5 - 285*c**4 + 2993*c**3 + 12633*c**2 - 15340*c = 0.\nAnswer: -295, -4, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 4) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in d**2 + 9 + 25*d + 20*d - 45*d.\nAnswer: d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -6*4\/(3 + 5). Let d(j) = 4*j + 1. Calculate d(s).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -264075.6 to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -c + 13622 - 13618, -5 = 5*h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = d + d. Suppose d*h - 3 = -h. Suppose -h*n - 7*i = -2*i - 106, 2*n - 72 = -3*i. What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 203440340 (base 5) to base 3.\nAnswer: 1120211200101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3644321l to millilitres.\nAnswer: 364.4321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes before 12:29 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.06 - -0.4. Let a = 1.4521 - f. What is a rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 833720 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -9. Let x(n) = n + 11. Let j be x(-5). Let b = h + j. Sort 0.4, 3, b in increasing order.\nAnswer: 0.4, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178.5085 litres in millilitres?\nAnswer: 178508.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 30168403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 304 - 154 = 0 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.957701 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -15*c + 6. Let j be k(0). Suppose 8*p = 13*p - 4*u + j, -p + 4*u - 14 = 0. Factor -1\/6*t - 1\/6*t**p + 0.\nAnswer: -t*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 7*w + 12. Suppose -w*q + 21 = 3*q. Solve 0 = 2*c + q*j - 4, 0*c + 3*c = -3*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the second derivative of 5*p**8\/28 - p**5\/10 + 37*p**4\/12 + 3*p - 2. Find the third derivative of c(x) wrt x.\nAnswer: 1200*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.26 - -0.26000124. What is c rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/(-12))\/(18\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1, -16, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 223?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -8. Suppose 40 = z*w - 2*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 - 105 = 5*j. Let m = j - -35. Suppose -5*r + 7*r + 5*y = 20, 3*y - 40 = -4*r. What is the greatest common divisor of m and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.748026 nanometers to kilometers.\nAnswer: 0.000000000001748026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4*d - 3. What is the third derivative of 1 - 3*o**5 - 3*o**2 + d - 2 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 3*y + 5 + 34, 0 = 4*i - 2*y - 38. Suppose -6*z = -i*z + 4155. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54898131 is divided by 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -8 - (-13 - -17 - 10). Put r, 7, 24 in descending order.\nAnswer: 24, 7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-1)\/(-3)*-3). Let u(x) = -x**3 + x**2 - 2. Calculate u(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -2*n**2 + 8*n - 10. Let i(d) = d**2. Let v(y) = -f(y) - 3*i(y). What is v(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1691 divided by 48?\nAnswer: -1691\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 7*x**3 + 2*x**3 + 4*x**3 to w*x + f*x**2 + m*x**3 + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 6 + 2*l - 8 + 0 - 3*l. What are the prime factors of w(-17)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 165\/298 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*c - 7*c - 12*c - 3*c + 12*c.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of 59*w**4\/12 - 13*w**2 - 148*w. Differentiate z(v) with respect to v.\nAnswer: 118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes after 10:45 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1710.7755 rounded to the nearest 10?\nAnswer: -1710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4 + 153\/(-12))*-4. Let v(t) = 139*t - 71*t - i*t. Let f(k) = 300*k + 40. Let n(s) = -23*s - 3. Let l(r) = 3*f(r) + 40*n(r). Give v(l(u)).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 8*z - 5. Let v be (1 + -1)*5\/15. Let j be (v - (-2)\/(-4))\/((-22)\/(-352)). Give o(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -14*v**2 - 7. Let d(p) = 4*p**2 + 7*p + 14. Let k(i) = i**2 + 2*i + 4. Let z(w) = -2*d(w) + 7*k(w). Calculate z(l(r)).\nAnswer: -196*r**4 - 196*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + ((-9)\/(-18))\/((-5)\/20) - (-138)\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = x**3 - 8*x**2 + 7*x + 1. Let v be u(7). Let j be (26 - 29)*((-5)\/(-3) - 1). Which is the biggest value?  (a) j  (b) v  (c) -0.11  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 130 + -1212?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/6*(-42)\/210\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*m - 7 = -45, -2*u = 3*m. What is the least common multiple of 21 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from doddo. What is prob of sequence odd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -11605 + 521?\nAnswer: -11054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 10*r + 6 + 14\/3*r**2 + 2\/3*r**3.\nAnswer: 2*(r + 1)*(r + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 581*m**2 + 2*m + 1. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14202 (base 7) in base 13?\nAnswer: -19bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125922.\nAnswer: 2, 3, 31, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -75 - -373\/5. Let a = -357 - -1647\/4. Let g = 55 - a. Put h, 0.3, g in decreasing order.\nAnswer: 0.3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (24*a + 13*a**2 - 24*a)*(-2 + 0 + 0) to the form y*a + g + q*a**2 and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-4))\/((-1213)\/18195)?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10.3 + -10. Suppose 8 = 4*w, 6*w - 4 = -2*h + w. What is the closest to h in n, -2\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v = 5559 + 1701. Let o = 876 + v. Does 80 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7720 and 200.\nAnswer: 38600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(1\/3))**(-16\/7))**(-10\/11))**(-44) assuming g is positive.\nAnswer: g**(-640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 5*b - 18, -3*b - 6*l + l = -26. Let d = -217 + 227. Solve 0*y - m - d = -4*y, -6 = -b*y + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 + 26*k - 148. Let o be n(16). Differentiate 73*a**2 - o + 9 - 24*a**2 - 41 with respect to a.\nAnswer: 98*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/171 or 60289?\nAnswer: -2\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 7?  (a) 5  (b) -0.4  (c) 7  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/((sqrt(50)*5)\/sqrt(10)) + (sqrt(3888) - (sqrt(3888) + 5))**2.\nAnswer: sqrt(3)\/5 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = 4*h + 2*t - 12, -3*t - 1 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100101001001 + -1?\nAnswer: -11100101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 5 + 4*t - 30)*(-3*t**3 + 6*t**3 + 0*t**3).\nAnswer: 12*t**4 - 78*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 7:01 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + -13. Suppose -5*k + m*n + 375 = 2*n, 375 = 5*k - 5*n. Let r be k\/(-2 + 5) + 0. What is the highest common divisor of r and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 176810 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12\/7, -5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 0) + (0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 11\/368, -8, -4, 0 in decreasing order.\nAnswer: 11\/368, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -990*i + 23 = -1114*i - 101 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 91475673?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + -1 + (-123)\/18*165\/(-220). Let v = 105 - 73. What is the third smallest value in u, -0.1, -2\/7, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1092, 2194, 3296?\n\"Answer: 1102*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -59326, -59330, -59336, -59344, -59354?\n\"Answer: -b**2 - b - 59324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 66\/(-3)*(-10)\/(-140)*-7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-31)\/(372465\/60))\/(44\/1254*19).\nAnswer: -2\/267","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -78.511424983+0\nAnswer: -78.511424983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -p**5\/120 - p**3\/6 - 3*p**2. Let g(n) be the first derivative of v(n). Let l(f) = -2*f. Determine l(g(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2. Let t(u) = -940939*u**2. Calculate w(t(q)).\nAnswer: 885366201721*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1\/7 + -1\/7. Suppose -5*n = -0*n. Let k = n + 0. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*z = -846 - 610. Sort -3, z, -5.\nAnswer: z, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2*z. Let y(n) = 20783081*n**2. Give y(u(s)).\nAnswer: 83132324*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z + 100 + 80. Let h = z + -17. Suppose -5*j + h = -2. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 348 + (-42)\/(-6) - 5. Calculate the highest common divisor of u and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-4)\/(-10))\/((-18)\/(-990)). Suppose -4*k + q = -2*k. Solve 4*y + 22 = 2*t, -6*y + 3*y - 4*t = -k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 144 and 9408?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4881075?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-60)\/40)\/((-17 - 4)\/(-1))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234421 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -185*h**2 - 93*h**2 + 214*h**2.\nAnswer: -64*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 28961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 1)*(7 - 4 + 14)*(-303*x - 14*x + 64*x) to the form j + b*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(2*sqrt(475) + 6*sqrt(19)*-2 - sqrt(228)\/(sqrt(12) + sqrt(588)*-6)))**2.\nAnswer: 124659\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 194623299, 194623295, 194623291, 194623287, 194623283, 194623279?\n\"Answer: -4*j + 194623303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 789 in -4, 36, 0.5, 2\/11, 1?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*j = 213265 - 216554 for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 7) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvbbbrv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 5*s**2)*(-3*s**2 - s**2 + 7*s**2) + 78 - 11*s**4 + 30*s**4 - 15*s**4.\nAnswer: 19*s**4 + 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 4*((sqrt(1377) - (sqrt(1377) + sqrt(1377)*-1 + sqrt(1377)) - sqrt(1377)) + -3 + -6*(sqrt(1377) + 0)) + 4 + -2)**2.\nAnswer: 7560*sqrt(17) + 1079793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 424 + -303. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -37863 smaller than -3900002\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/((-4)\/96*-4). Let x = 7 - i. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54373 is divided by 18118.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10895\/17 + -641. What is the closest to -0.19 in 5, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 848*m - 4 - 1836*m + 856*m.\nAnswer: -132*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -126.3 + 1.3. Let g = -126 - i. Which is the second biggest value?  (a) 4  (b) g  (c) -0.06  (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 2:35 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -378, -493, -686, -957, -1306, -1733?\nAnswer: -2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**3\/2 - 40*z**2 + 150*z.\nAnswer: 5*z*(z - 10)*(z - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/28*12\/9?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (36\/(-54))\/(1\/(-24)). Let x(j) = 3*j - 43. Does 2 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13 in 408, 35, 1\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 36.23 - -10.88. Let d = -47 + u. Sort -0.1, -5, d, -0.5 in ascending order.\nAnswer: -5, -0.5, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 42, 77, 0, 2\/9, -0.058?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1537171867.\nAnswer: 7, 11, 19963271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 2862*f**2 + 8*f + 683. Is c(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 21  (b) -0.091  (c) -40\/311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 400295.00044 + -400303. Let n = -12 + 20. Let f = d + n. What is f rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 55 - 52. Let p(g) = -3 + 4*g + 0 - 3*g + 0*g. Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.45005613 to four dps.\nAnswer: -4.4501","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(1\/5)))\/(a\/(a*a**(5\/3))))\/(a**(-1\/12)*a\/(a*(a*a\/(a\/(((a\/(a**(-3\/2)*a))\/a)\/a)))\/a)) assuming a is positive.\nAnswer: a**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/8586 and 149\/162?\nAnswer: 8586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 2, i: 1, j: 1, v: 1}. Give prob of picking 2 s and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**2\/7 - 96*g\/7.\nAnswer: -2*g*(g + 48)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3321 + -13112?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -187, -300, -489, -760, -1119?\n\"Answer: -q**3 - 32*q**2 - 10*q - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 191052433 by -1.\nAnswer: -191052433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -196*z - 99. Let w be n(-2). Let k = w - -118. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d = -5*r + 18, -2*d - 2*r = -11 + 3. Put d, -4, 1\/5, 20 in ascending order.\nAnswer: -4, 1\/5, d, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1163.00021175 + 1163. Round z to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 21 = -5*m, -2*z = 3*z - 5. Sort 2, 4, m, -3 in increasing order.\nAnswer: -3, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) -1\/2  (b) 23  (c) -0.3  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1272 - 2355. Let h = 6541\/6 + f. Let r = 20347\/6 - 3380. What is the common denominator of h and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1604 and 14035802?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 170 = 2*g + 16. Find the second derivative of -g*r**4 + 67*r**4 + 5*r - 15*r wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -61*w**2 + 2*w**4 - 8 + 63*w**2 - 11 wrt w?\nAnswer: 8*w**3 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2897 times -24.258\nAnswer: 70275.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/4*46\/(-621)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -2*q - 56. Let o(g) = -5*g. Calculate o(j(w)).\nAnswer: 10*w + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*c + 20*c - 3 - 68*c + 24*c + 3.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1644704000 rounded to the nearest 1000000?\nAnswer: -1645000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5\/59 - 233\/1357. What is the third biggest value in v, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + 11*j + 9. Calculate b(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10468*o = -10676*o - 9360 for o.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/5 of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z + 2. Let h(u) = -12*u + 5. Let w(m) = -2*h(m) + 5*s(m). Let k(i) = 86*i**2. Calculate k(w(a)).\nAnswer: 86*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.96 + 22876232.399.\nAnswer: 22876237.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1943, 1772, 1369, 638, -517, -2192, -4483?\n\"Answer: -16*j**3 - 20*j**2 + j + 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 27*n**3*r**2 - 10*n**3 - n**2*r**5 + 3*n**2*r wrt r?\nAnswer: 54*n**3 - 20*n**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 167428 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (10962\/783)\/(21\/(-153))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 266 + -264. Suppose 0 = p + 3*p - 72. Find m such that 8 - p*m**3 + 6*m**4 + 9*m + i - 4 - 12*m**2 + 9*m**5 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1510594451.\nAnswer: 1510594451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -28. Suppose -4*k + z = 3*r, -k = 4*k - 25. Let t(c) = c**3 + 2*c**2 + 3*c + 2. Calculate t(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -2*z + 5. Let m be (-2)\/(-21) - (-498)\/63. Calculate k(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19555181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, h: 1, f: 1, b: 1, u: 2}. What is prob of sequence un?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00020899579 to seven decimal places.\nAnswer: -0.000209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 64 + -3 - (-1 - -2). Suppose k + 0*k + 5*u = 24, 4*k - r = -2*u. Let s be (-57)\/(-21) - (-4)\/k. Solve -4*x = -13 - s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {q: 2, x: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 3*v**5\/5 + v**4\/2 + 3*v**2 - v - 59. Find the second derivative of z(m) wrt m.\nAnswer: 36*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w**2 + 2 - 2 + (-w + 0 + 0)*(-3*w + 2*w - w) - w - w**2 + w + (-27*w + 301*w - 42*w)*(2*w - w + 0*w).\nAnswer: 235*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-4) - (-15562)\/8. Suppose u - 5325 = -5*d. Is d + (0 + 4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23501\/19 - -1237. Which is the second smallest value?  (a) 6  (b) z  (c) 1\/5  (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.03 from -12596786.\nAnswer: -12596786.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 3*y - 4*y + 4*y + 6*y**2 - 2*y - 1. Let t be 2\/(-7) - 9\/(-7). Give w(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -9*i**3*r**4 + 2*i**3*r**2 + 50*i**3 + 30*i**2*r**2 - 4*i*r**4 + i*r**2 - 3*r**4 wrt r?\nAnswer: -216*i**3*r - 96*i*r - 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 1, q: 1, l: 1, u: 5, i: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 641 = u, -5*w + 2402 = u - 803. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3667108324 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (18\/130)\/((6825\/250)\/(-91))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 + 425\/51)\/(10\/9)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43196760 is divided by 383.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from tvjqxjqxtxva?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 23 (base 5) to base 12\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-13)\/(78\/774))\/((-1)\/(-1)). Let m = 122 + q. Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 863281636?\nAnswer: 2, 7, 3541, 8707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*m = 849, -6*q - 4267 = -11*q - 3*m. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -2. Let t = 108 + -107. Let y = 0.3 - 0.5. What is the nearest to t in o, y, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 6*d**2 - 1819*d - 3081. Let l(j) = -2*j**2 + 606*j + 1023. Let q(i) = 4*g(i) + 11*l(i). Differentiate q(x) with respect to x.\nAnswer: 4*x - 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1701\/84*((-6)\/66*4)\/(93\/(-682))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 56 divide 14100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*n + 28*n - 2088. What is the highest common factor of 261 and n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 9252  (b) 5  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ubbuuuexeure.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 672 minutes after 3:58 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 116702486 to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 + 4*m**2 + 2*m + 6. Let g = -11 + 16. Let a be (-2 + g - -1)\/(-1). Calculate d(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24\/7*r**3 + 0 - 6\/7*r + 20\/7*r**2 - 2\/7*r**5 + 12\/7*r**4.\nAnswer: -2*r*(r - 3)*(r - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 4*b = -2*b - 8, 3*h - 16 = -4*b. Suppose h = 2*d + 5 - 23. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**2\/8 - 423455*g\/8 - 423459\/2.\nAnswer: (g - 423459)*(g + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes before 7:09 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -70 - -82. Suppose h*x - 272 = 4*x. What is the greatest common factor of 85 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o + 3*w, 3*w + 26 = -5*o + 28. Sort -1, o, -71, 4.\nAnswer: -71, -1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9608, -1, 1, 5.\nAnswer: -9608, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.5394 + -0.0394. Which is the closest to 2?  (a) s  (b) 3  (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12391?\nAnswer: 12391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1024*o = -2958*o + 50284 for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-10 - -114) + 2 - 1 and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20 - 14 - 4\/(-2). Find the common denominator of 2\/(-3) - (-238)\/132 and 312\/(-16) + 2\/g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 202, -3, -1, 5, -4 in increasing order.\nAnswer: -4, -3, -1, 5, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of -2*r**3 + 5. Let o(p) be the third derivative of -p**5\/30 + 397*p**2. Calculate m(o(z)).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**4\/5 + 509*d**3\/5 - 3081*d**2\/5 + 927*d = 0. What is d?\nAnswer: -515, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12310 is divided by 6055?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20268, 40529, 60780, 81021, 101252, 121473, 141684?\nAnswer: 161885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/6 + 77*h\/6 - 54.\nAnswer: (h - 4)*(h + 81)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2860183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8427\/(-212)*(-344)\/(-129).\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g**3\/2 + 23665*g**2\/2 - 14006720*g + 13994890 = 0 for g.\nAnswer: 1, 2366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78942 is divided by 282?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-20)\/168)\/(4590\/(-1071))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 1 = 2*s + x - 7, -26*x = 3*s - 25*x - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h = -l - 13, -44*h + 20 = -4*l - 48*h for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + -2 + -1 - 4. Which is smaller: -3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 41019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 - -39.32902\nAnswer: 38.62902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -84  (b) 0  (c) -4  (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0 - 3. Let l = -637 - -662. Let a be (l\/10)\/(-1)*1\/(-20). Put c, a, 3 in descending order.\nAnswer: 3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 40 + 45. Let g(l) = -3*l**3 - l**2 + 2*l - 1. Calculate g(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q*q**(3\/8)*q)\/q)\/q**(-10)*(q\/q**(1\/19))**(-46) assuming q is positive.\nAnswer: q**(-4743\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + 2*f - 248, -25 - 175 = -3*i - 5*f. Let h = 0 + i. Which is greater: h or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 10 = -3*c, -d + 2 = -2. Suppose 3*g - 312 = -i + c*i, i - 528 = -5*g. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)\/(x\/(x*x**(-5)\/x)))\/((x\/x**1*x*x)\/x**(-1))*(x\/x**(-2\/5))\/(x\/(x**3\/x))*(x**0)**25 assuming x is positive.\nAnswer: x**(-38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10980?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 11*p**2 + 10*p + 1. Let a be w(-10). Solve -1 = v + a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of j*o**4 - 2*j*o**3 - 3*j*o*u + 2*o**4*u + 92*o**3 + o**2*u + 9*o**2 - 2*o wrt o?\nAnswer: 24*j*o - 12*j + 48*o*u + 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1321 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 -2*w + 3*w - 1170 = 0. What is w rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3067 is divided by 997.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**3 + l**2 + l - 2. Let x(q) = 10*q**3 - 4*q**2 - 3*q + 5. Let f(r) = 7*i(r) + 2*x(r). Let m be f(0). Sort 11, -3, m in descending order.\nAnswer: 11, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 188\/(-60)) + 2\/10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 10 - 18. Is ((-1)\/(-2))\/(-1) + 1278\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 103047274.\nAnswer: 2, 11, 4683967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 455 + 133. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -198 + 671. Suppose h = 5*f - 3*x, 0 = -3*x + 17 - 5. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31930 and 53597698?\nAnswer: 6386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = k - 6*k. Let h = k - -33. Calculate the remainder when h is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1111 - -6279542\nAnswer: 6278431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 172620 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 11 = -2*d, 118 = -3*t + 4*d + 123. Solve 0 = -2*w - 4*m + 14, 5*m = -t*w + 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 2*d - 7. Let p be s(-5). Suppose z = -p*z + 500460. Let r = -292115 + z. Round r to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 144 and 1440?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/((-4)\/52 - (5 - 5)). Suppose 0 = 19*b - j*b - 24. Solve -1 - 3 = b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/3*(-1 + 4). Suppose 2*r - 3*k + 96 = -r, 5*k = 5. Let a = 157\/5 + r. Is y equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12271.041 + -12271. Which is the second smallest value?  (a) 4  (b) 0.5  (c) -5  (d) o  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 126353 = -x, -2*r + 3*x + 17020 + 33511 = 0. Is 266 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6504641 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -212375366 by -43.\nAnswer: 4938962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5257 is divided by 660?\nAnswer: 637","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m + 4*d - 28, 0*m = -m + d + 2. Suppose -5*i = -2*i + 9. What is the least common multiple of m and ((-1)\/i)\/(1\/33)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2343*s**2 - 9*s - 353. Let y(m) = 1173*m**2 - 4*m - 176. Let r(w) = -2*h(w) + 5*y(w). Find the second derivative of r(z) wrt z.\nAnswer: 2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*(-9)\/(-270)*10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7647 - -7647. Is n < 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mdxmnmndddx. Give prob of picking 1 m and 2 n.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -104, -618, -1538, -2864, -4596, -6734?\nAnswer: -9278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 329259*x**3 - 2*x**2 - 6*x - 7. Let u be r(-3). Round u to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.49677 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(238)\/((sqrt(315)\/sqrt(9))\/sqrt(5)))\/(-2*-3*sqrt(98)).\nAnswer: sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1160)\/(-290)*38\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -1942871?\nAnswer: -1942873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 230*i**5\/11 - 14638*i**4\/11 + 114210*i**3\/11 - 270266*i**2\/11 + 132976*i\/11 - 480 = 0.\nAnswer: 1\/23, 3\/5, 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 52436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13468 and 2548.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15059533.00326 - 15059667. Let f = -134 - u. What is f rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**9*(n**(-2\/19)*n)\/n*n)\/(n**(-1)\/n)**(1\/22) assuming n is positive.\nAnswer: n**(2087\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 619, 3, -3, 2 in decreasing order.\nAnswer: 619, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 402.3798 meters?\nAnswer: 402379.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1202, 1390, 1 in descending order.\nAnswer: 1390, 1202, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 138617770?\nAnswer: 2, 5, 419, 33083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -12, 24, -1 in descending order.\nAnswer: 24, -1, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = 6*x - d, 295*d + 36 = 5*x + 297*d for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 932*h + 40. List the prime factors of g(9).\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*z**2 + 19379 - 19379.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 198 and 88?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1140421 and -0.3?\nAnswer: 1140421.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11*a**5 - 37*a**5 + 4*a**4 - 75*a**2 + 16*a**5 + 12*a**5 wrt a.\nAnswer: 120*a**2 + 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.2, 64, 0.162, 0, 0.02, 5?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -7) + (-258687)\/432. Let b = -153 - 439. Let z = m - b. Calculate the common denominator of z and -79\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = c**3 + c**2 + c - 29. Let m(y) = -58*y**3 + y**2 - 6. Let h be m(2). Let q = -2815\/6 - h. What is the common denominator of p(0) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 1 = 4*l + 63, 4*j - 143 = 3*l. Is (j\/(-4))\/(8\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/182 and -95\/231?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3495508.637 minus -0.3?\nAnswer: 3495508.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 26\/(728\/(-21))*(-384)\/6\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 222431 + 3?\nAnswer: 222434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 7*r**3 - 8*r**2 + 7*r. Let c(o) = -4*o + 3*o + o**2 + 0*o**3 - o**3. Let u = -1339 - -598. Let z = u + 740. Determine z*h(b) - 6*c(b).\nAnswer: -b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 10027a (base 11) to base 7\nAnswer: 1241332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 2*g - 23 = 4*g, -3*o - 11 = 5*g. Let p be 1\/((o - 0)\/1062). Suppose -p = -3*c + 129. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t\/(t*t**(1\/4))*t**(-8\/5)\/t assuming t is positive.\nAnswer: t**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does -17 = 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 2*i + 1. Let g(d) = -448*d - 224. What is 2*g(u) + 448*l(u)?\nAnswer: -448*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q - q**3 + 2*q - 18335 + 18297.\nAnswer: -q**3 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1492, -1494, -1496, -1498, -1500, -1502?\n\"Answer: -2*q - 1490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*2\/6*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2030 and 145.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r = 2*g + 26, -8*r - 15246*g - 113 = -15241*g for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/(-325) + (8118\/225 - 9).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/15 in -2, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s - 4 = -12*s. What is the common denominator of 34\/(-72)*-33 + s*-4 and -139\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51134 and 518.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 542.3 - 542. Put w, -2, -6 in decreasing order.\nAnswer: w, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*(-5 + 465\/9). Let l be ((12*-1)\/(-2))\/(210\/h). Solve l*c + c = 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 24466100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 0) + 1 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 259898519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 43635 - -52?\nAnswer: 43687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -5, 0.1, -2403?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16 and 370614?\nAnswer: 5929824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 31 + -28 - 2\/1*-1. Solve -4*h + 3*d = -27 + p, -8 = 4*d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 140 + -138. Sort p, 0.2, 4, -1 in descending order.\nAnswer: 4, p, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 5:20 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23 - -23. Suppose 0 = -2*n + 3*l - 7 - 0, 0 = -2*n - 2*l + 18. Suppose y = -2*x + n*x - 56. What is the remainder when x is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/(-99) + 148\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 230 and 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4425 and 794730.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 62b (base 12) to base 10.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + n - 8400. Round n to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.037 - 0.063. Let i be -2 - (0 - (0 + 0)). Put l, i, -6 in increasing order.\nAnswer: -6, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 282*r - 97*r - 198135. Calculate the highest common factor of 2709 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -4, -304 in decreasing order.\nAnswer: -4, -5, -304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + 1. Suppose -j - q = -4*j. Suppose 0*g - j*g = 3*t - 35, -5*g + t + 45 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 2*q + 126 = 0. What is the common denominator of q and -56\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 669.0321 decades?\nAnswer: 66.90321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -199 = 2*z - 203. Suppose 0 = 3*u + z*i - 2463, 821 = -0*u + u + 3*i. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -13, -0.1, -5\/2, 0.3, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t - 3. Let v be s(5). Suppose 0 = -0*h - v*h + 48. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - 16) + 24 + 1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -60897696 divided by 8?\nAnswer: -7612212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 - -202908570718.\nAnswer: 202908570681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4 or 23?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 0.1  (c) 4.336  (d) -5  (e) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73 is divided by (5\/3 + 3 + -2)*6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 30*a**2 + 16*a + 1458. Let n be t(-31). Let v(q) = 3 - 6*q - 3. Give v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 3*r**2 + 4*r - 6. Suppose 4*y - 12 = -3*m + 4, 5*y - 5*m - 20 = 0. What is the units digit of o(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 11*m**2 + 2*m + 16. Let z be q(-11). Let p = 9 + z. Solve 4*y + 10 = -2*h, -h + 2 = 3*h - p*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*b - 20 = 0, -2*g - 7*b - 16 = -12*b. Let t(n) = 2*n**2 + 3*n + 3. Let f be t(-2). Solve w - 7 = -0*w + 2*j, -g*w + 16 = -f*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1580123685 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2592 and 71748?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -8. Let u be y*4*(9 - 6). Solve -5*c + 3*b = b - u, -6 = -2*c - b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6, 50, 180, 438, 866?\nAnswer: 1506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 530914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 - 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6d (base 16) to base 13.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*z - 3249 + 3249 + 16*z**2 to the form b*z + r + h*z**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 + 0*g**4 - 5*g**3 + 4*g**3 + g**4 - g**3 - 1456 + 1503 in the form w*g**3 + k*g + c*g**2 + h + l*g**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/48 and -187\/90.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.65 - -0.15. Which is the biggest value?  (a) -2\/5  (b) 1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10526353 (base 9) to base 6\nAnswer: -301120333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1249 + 747 + 1516)*(n**2 - 3*n**2 + 0*n**2).\nAnswer: -2028*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -74 + 520\/7. What is the second smallest value in 3\/4, 3, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56*k + 21465 = -47*k. Suppose -k = 395*v - 404*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1223, -2568, -3981, -5468, -7035, -8688, -10433, -12276?\nAnswer: -14223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/((-12)\/(-9)) - -88. Suppose -h = -0*p - 5*p. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-43 - -60 - (4 + 3 + 5)) - -43\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -457056 divided by -1587\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s. Let j(l) = -4 + 7 - 5 - 1. Let g(t) = -4. Let a(m) = -5*g(m) + 7*j(m). Let u = -29 - -31. Calculate u*a(q) - f(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*z + 4 = 0. What is the closest to 1 in z, 2\/11, 7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -1. Let o(s) = s + 4. Suppose -2*k - 3 + 11 = 0. Let a(q) = k*w(q) + o(q). Let l(f) be the third derivative of f**4\/24 - 8*f**2. What is a(l(r))?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 29\/5 of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3916 is divided by 3905.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 102521885 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -39 by -17.\nAnswer: 39\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42 by 11.\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of -1157*x**5\/20 - 41*x**4\/3 + 47*x + 1. What is the third derivative of j(a) wrt a?\nAnswer: -6942","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 44*f - 12416 = -48*f, 5*w - 12422 = 2*f. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b*b**(-25))**(-36))**35)**(11\/8) assuming b is positive.\nAnswer: b**38115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6202*y**2 + 12263*y**2 - 6341*y**2.\nAnswer: -280*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 less than or equal to -1\/1050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(8) + (-1 + sqrt(2))*-4 + 6*sqrt(2)*-2 + 1 + sqrt(242) + (sqrt(288)*-5)\/(sqrt(9) - (sqrt(315)\/sqrt(5) + sqrt(63))\/sqrt(7)))**2.\nAnswer: 210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + (-2)\/(-4))*0. Let z = 207 + -236. Let y(c) = c**3 + 28*c**2 - 29*c + 2. Let h be y(z). Solve -5*d - 4*t + 20 = s, -d - 4*t + 2 = -h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15268796 divided by 47.\nAnswer: -324868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 50 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 4*z - 27, -12*w - 5*z = -11*w - 12. What is the smallest value in 0.09, 1\/6, w, -0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2112)\/80)\/(4\/320*-6). Calculate the greatest common factor of 256 and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 - 10. Let k = d - 3.9. Let m = k - 0. Which is the closest to 0?  (a) m  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 9.04. Let m = 12.54 - 12. Let n = m + v. Which is the third biggest value?  (a) 0.2  (b) -3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -483 - -504. Suppose -4*h = y*l - 18*l - 70, -4*l + 5*h + 52 = 0. Which is smaller: l or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -4*c**3 - 20*c**2 + 21*c - 7. Let t(b) = -13*b**3 - 59*b**2 + 63*b - 23. Let k(z) = 7*l(z) - 2*t(z). Find the second derivative of k(v) wrt v.\nAnswer: -12*v - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 110692.\nAnswer: 110692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes before 11:58 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -2\/351, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 277569236?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 15065 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -221175 (base 8) to base 9.\nAnswer: -123007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.5, 0.5, -5\/367, -19?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1258545506 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mrrrh. Give prob of picking 3 r and 1 h.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -47  (b) 1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 p when three letters picked without replacement from {v: 5, p: 1, e: 1, i: 3, f: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 3*b + 27, 2*r + 4*b - 2*b = 12. Let f(j) = -5*j + 6 + r + 4*j. List the prime factors of f(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*f**2 + 3*f - f**3 - 8*f**2 + 2*f**3 + 3*f to the form o*f**2 + v + g*f**3 + p*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 + 2*b**2 - 5*b**2)*(b - b + b) + 2*b**3 - 3*b + 3*b + 0*b**2 - b**3 + 0*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1)\/(-4)*6)\/(2\/28). Suppose -12*f - q = -19*f. Solve 3*c = -f*d, 0*c = -2*d - 4*c + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 - ((-78)\/27 - ((-104)\/36 + 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.2 + 18.2. Let x = 134647929.9999942 + -134647912. Let t = q - x. What is t rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6900386*u**3 - 7771804*u**2.\nAnswer: 41402316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2.8+-134\nAnswer: -136.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 301.78 and -0.25.\nAnswer: -75.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -9*z - 5. Let p = -36 - -33. Let i be u(p). Suppose 5*m = 78 + i. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37820\/10736*-11)\/((-10)\/4)?\nAnswer: 31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -i + 18 - 0, 2*i + 3*y = 0. Does 7 divide i\/27 - 500\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11142 divided by -1238\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3 - 1711128103\nAnswer: -1711128106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**3 + 2*p + 46 - 20*p**2 - 3*p**3 + 0*p**3 + 2. Calculate the lowest common multiple of l(-20) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence suv when three letters picked without replacement from {v: 2, s: 5, u: 8}.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -317*p + 319*p = 13738. List the prime factors of p.\nAnswer: 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 11*c + 5. Let s(l) = -12*l - 6. What is -6*s(d) - 7*w(d)?\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5814 - -8410. Suppose -6*k = -q - 554. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2760)\/(-736) - ((-12)\/(-3) + 0))\/((-2)\/(-104))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4453838155 to the power of 1\/3, to the nearest integer?\nAnswer: 1645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 4*d**2. Let n(l) = -15618*l**2 + 8059*l**2 + 7964*l**2. What is n(o(w))?\nAnswer: 6480*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4756 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3132343243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.1 + -0.2. Suppose -1 = z + 4. Let s be (-2)\/z*(3 - -2). Which is the nearest to -0.2?  (a) 0.4  (b) s  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 160424 and 102088?\nAnswer: 1122968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3.4 + -3.54. Let q = a + 0.34. Put q, 3, 1\/4 in ascending order.\nAnswer: q, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g**2 + 357*g + 819. Calculate j(-69).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2538 by 4.\nAnswer: -1269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 1 + 4)*(-2 - 1 + 1)*(-2 + a + 2)*(-4 + 4 - 1).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7222959.\nAnswer: 3, 267517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9236034757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsszjwa. Give prob of sequence as.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1780647170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -6*-0.59\nAnswer: 3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-32)\/24)\/(16\/(-54564)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, 5, 0 in descending order.\nAnswer: 48, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 20*s + 2. Let c(d) = -118*d**2 + 6989445 - 6989445. Calculate o(c(u)).\nAnswer: -2360*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*19\/(-1064)*-24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4695642*m**2 + 4695638*m**2 - 13*m + 13*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -366\/5 + 74. Let i = 40.4 + -40. What is the nearest to -1 in -3, i, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -4, -9, -16, -25, -36, -49, -64?\n\"Answer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -270 + 516. Let l be (-6)\/(-33) - r\/22. Let n be (-2)\/l - (-6)\/(-33). Solve n = -5*t - 6 - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (9 - 407\/(-110) - 2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 + 22*s**2 - 3*s + 41. Let x be k(22). Is x bigger than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7197, 15345, 23493?\nAnswer: 31641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, c: 2}. Give prob of sequence aa.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 6:18 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 5*g**2. Let d(b) be the third derivative of b**5\/30 - 5*b**2. Calculate n(d(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 2*k**2. Let u(f) = -2*f**2 + 3037. Calculate n(u(j)).\nAnswer: 8*j**4 - 24296*j**2 + 18446738","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (4 + -3) - (8 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*m - 2, -5 = m - 4. Let f = -2 + u. Let r = -348\/5 + 69. Which is the biggest value?  (a) f  (b) r  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15432371 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 257*l + 209 = -93 + 99 - 54 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 67 + -43. Let o = 8 + 21. Let q = l - o. Which is the smallest value?  (a) -0.01  (b) q  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -47, -119, -197, -281, -371, -467, -569?\n\"Answer: -3*v**2 - 63*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -2*t. Let v(r) be the first derivative of 2*r**3\/3 + 7*r**2\/2 + 204*r - 2787. Determine s(v(b)).\nAnswer: -4*b**2 - 14*b - 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 + 18*a + 34. Let b = -130 + 114. Let u be j(b). Solve u = 3*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*b - 59 = -31. Suppose -b*d + 116 = 4*l, 3*d - 4*l = l + 185. Is d a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 0*i = 0. Let b(y) = -7*y**2 + 3*y + 123. Let f(k) = 25*k**2 - 11*k - 434. Let c(s) = -18*b(s) - 5*f(s). Give c(i).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**3 + 671*f**2 + 5570*f + 4315. What is q(-327)?\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qtzn when four letters picked without replacement from {n: 1, a: 1, z: 1, q: 2, t: 4}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express ((400*m - 129*m - 55*m)*(3*m - m - m) + 67*m + 19*m**2 - 67*m)*(2*m**2 + 3*m**2 - 4*m**2) in the form b*m + r + p*m**3 + s*m**4 + t*m**2 and give s.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.015221044 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x**3 - 19*x**2 - 11*x - 11. Let g be c(10). Let b(l) = l**2 + 22*l + 11. Determine b(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -8*t**2 - 4*t + 6. Let h(p) = p**2 - 1. Calculate f(n) + 6*h(n).\nAnswer: -2*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 3*b = -8*w, w - 10 = -3*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 327\/3 + 3 + -4. Calculate the greatest common factor of 72 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -3*h + 2411 - 1311, 0 = 2*c + 2*h - 440. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.4 - 0.5. Let l = 20.83 - 18.83. What is the closest to v in 3, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -9*i**3 - 2*i**2 - i + 1. Let o(w) = 8*w**3 + 2*w**2 + 2*w. What is 2*o(q) + 3*t(q)?\nAnswer: -11*q**3 - 2*q**2 + q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - 15*r + 19. Let c be f(-12). Let a = 100 - c. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.2407 + 1.02039?\nAnswer: 10.26109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/3 in -0.572, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -35, 3, -5, 38, -783, -2, 2 in ascending order.\nAnswer: -783, -35, -5, -2, 2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -29, -32, -45, -74, -125, -204, -317, -470?\n\"Answer: -z**3 + z**2 + z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*y**3 - 31*y**3 - 8*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 10, -g = 2*r + 4*g - 25. Let k(b) be the second derivative of -b - 1\/3*b**3 + 0*b**2 + r. Let h(i) = 3*i. Give h(k(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 445138 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 17934143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -130 - 103*j + 130 + (2*j + 0*j + 0*j)*(-3 + 1 + 0).\nAnswer: -107*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 4*u**2 + u - 2. Let j be b(2). Let m = 25 + -22. Suppose -5*d = 4*x - 3, m*d = -0*d - 3*x. Solve j = d*s + s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9*20\/150*((-4)\/14)\/((-9)\/21).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -6*b**4\/5 - 3471*b**3 + 508533*b**2\/5 + 560568*b\/5 - 210348 = 0.\nAnswer: -5843\/2, -2, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 29 = 3*v - 5*v, 3*v + 3 = 0. Let m(h) = 23 - 2*h**2 + 16 + p - 66. Let x(u) = 333*u**2. What is x(m(f))?\nAnswer: 1332*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = s**3 + 2*s**2 - 3*s + 3. Let h be g(-3). Suppose 0 = -8*y + h*y + 70. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (42\/(-140))\/(2 + -7) and ((-4)\/(-3) - 1) + (-20)\/(-165)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10917.12*0.3\nAnswer: -3275.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r**3\/2 - 22*r**2\/3 + 98*r = 0. Calculate r.\nAnswer: -98\/9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1484 divided by 7\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.8, 0.2, 99\/8, -1, 4\/37?\nAnswer: 99\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, l: 7, k: 10, o: 1, q: 1}. What is prob of sequence ror?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*r - 8 + 8 = -54*r. What is the nearest to -0.2 in r, -1\/2, 847, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from {y: 10, n: 2, s: 6}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -92 = -5*v - m - 2*m, v - 3*m - 4 = 0. Suppose 19*j - 144 = v*j. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**2*p**2*r**3 - 2*m**2*p**2*r**2 - m**2*p**2 + 685*m**2*p*r**3 + 2*m**2*p*r**2 - 3 wrt r?\nAnswer: -6*m**2*p**2 + 4110*m**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279586.\nAnswer: 2, 43, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189083 is divided by 459?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -163\/390 and -77\/672438.\nAnswer: 3362190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2.030996 millimeters?\nAnswer: 0.002030996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34 - 34 + 13*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 118 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-10)*49235\/(-916)*8\/(-10)*-2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (114\/133)\/((-8)\/(-28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157759 = -40*n + 710241. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -232 - -355.6. Let h = t + -118. What is h rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -3. Let i = n + 5. Calculate the remainder when 1 + -1 + 2 - -21 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**5*r - 13*a**4*r + 6*a**3*r - 12*a**2*r - 5*a**2 wrt a?\nAnswer: 120*a**2*r - 312*a*r + 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of n**5\/60 + n**4\/3 + 7*n**3\/2 + 12*n**2 - 5*n. Let t be o(-3). Solve -r = r - t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b - 16. Let q be m(-14). Solve 4*r + q + 0 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 9*h + 36. What is t(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {v: 8, n: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/30*6\/4)\/(2634\/(-46095))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence arrv when four letters picked without replacement from {a: 1, p: 1, r: 2, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1668679.\nAnswer: 1668679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - 16219e?\nAnswer: -16219d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45 and 50075?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {o: 4, c: 6, q: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 3*f**2 - 2*f + 3. Let y be i(2). Let p(m) = m**3 - 2*m**2 + 5*m - 3. Calculate p(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4360\/(-3270)*((-18)\/(-8))\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -42 or -259\/6?\nAnswer: -259\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6070543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 5*((-2)\/(-10))\/(8\/(-24))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/(1*3\/(-6)). Suppose -l + d = -0. What are the prime factors of l\/((14\/(-20))\/(-7))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -6, 0.671, -0.2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x + 781 = x. Let i = 74 + x. What are the prime factors of 227 + (i + 0 - -2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205212624.\nAnswer: 2, 3, 23, 151, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, j: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 6037*v - 60375. Calculate s(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -k**8\/140 + k**7\/42 - k**6\/45 + 74*k**3\/3 + 144. Let p(d) be the third derivative of g(d). Factor p(s).\nAnswer: -4*s**2*(s - 1)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 + 8*c**2 - 15*c. Let l be b(2). Suppose 2 = 3*t + 3*m - l, -2*t = -3*m + 2. Solve -10 = -4*s + t*q, -4*s + q + 9 = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/7613 and -25\/10856.\nAnswer: 3593336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) -0.3  (c) -1\/5  (d) 5  (e) -10  (f) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 337 divide 1054923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2754*g - 7866 = 2735*g. Solve a + 3*q = -1, 2*q - g + 416 = -2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27161 is divided by 1595.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let -57*z**5 - 120*z**4 + 1299*z**3 - 546*z**2 - 2124*z - 216 = 0. Calculate z.\nAnswer: -6, -1, -2\/19, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002221676 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 2 = -4*n. Let w = n + 5. Solve 4*o + 8 = u - 2*u, -6 = -u + w*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3428 - 3430. Suppose -4*g + 45 = -d, -g - 2*d + 24 = 2*d. Put 5, g, z, 4 in ascending order.\nAnswer: z, 4, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -41*d**3 - d**2 + 782*d. Let c(j) = -61*j**3 - 2*j**2 + 1172*j. Let f(i) = 5*c(i) - 8*u(i). Find the second derivative of f(a) wrt a.\nAnswer: 138*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -87 divided by -10\nAnswer: 87\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 1:58 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(160)\/sqrt(4))\/sqrt(8) + -3 + sqrt(5) + -1.\nAnswer: -4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 2*y - 3058, -3*y - 3*g + 7*g + 4587 = 0. What are the prime factors of y?\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 151 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1731673 + -1731808.0073. Let o = j + 135. What is o rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + g - 3*f - 9 = 0, 4*g = 2*f + 2. Let r(i) = 12*i**2 + i. Is r(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (175\/(-35))\/(12\/((-144)\/(-12)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -0 + 5, 0 = 4*c - 4*z - 36. Suppose 5*x + 4 = -2*g - 3, 0 = 3*g + c*x. What is the third derivative of g*j - 18*j**3 - 8*j + 12*j**2 + 4*j wrt j?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -3*h**3 + h + 1. Let l be q(-1). Suppose l*g + 63 - 165 = 0. What is the greatest common factor of 119 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/2*39*(-8)\/12. Let j = -32 + d. Suppose 51 = 4*s + j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/3))**(-2\/39)\/(v**0)**(-15))**(19\/3) assuming v is positive.\nAnswer: v**(-76\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/(-6))\/(12\/1368). Let i = -34 + f. Suppose 40 = -n + 5*n. Solve -n = -2*s - i*g, -2*s - 2 = -5*g + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-413)\/(-42) - (3\/2 + -2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the first derivative of -3*i**4 - 2*i**3\/3 + 12. Find the third derivative of k(r) wrt r.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 2  (b) -5  (c) 0.3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twelve fifths of a millimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 12 = 2*j. Let c = -74\/35 + 12\/5. Is c at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from {h: 13, f: 3, i: 3}?\nAnswer: 39\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-210))\/((-858)\/(-6435)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s - p - 4, -801*s + 798*s = -p - 14. Factor 3*y - 3*y**3 - 2\/3 + 2\/3*y**s.\nAnswer: -(y - 1)*(y + 1)*(9*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-27)\/6 + -3)*(-8)\/3. Are b and 18 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -183380 divided by 2.\nAnswer: -91690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 37*f. Let n(u) = 1111*u. Determine 121*d(k) - 4*n(k).\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 101, 5, 0.4, 0, -2.\nAnswer: -2, 0, 0.4, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f + 9, 346 = 3*t + t - 2*f. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 301, 525, 731, 913, 1065, 1181?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/30 - 1\/3. Let g = -1 + 0. Let d = -1651.5 + 1654.5. Which is the closest to g?  (a) y  (b) -2  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 257496 and 5?\nAnswer: 257491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 7:50 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 92\/20 - 3 - 2. What is the nearest to -2\/3 in 2, -0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 4, -0.09, 0.4, -2\/87?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18253 + 18253.1. Let k = 9\/8 + -3\/8. Which is the fourth biggest value?  (a) -45  (b) k  (c) z  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 385073392 a multiple of 7876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -402 + 405. Calculate the smallest common multiple of (-51)\/85 - (1938\/(-10))\/x and 112.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -k**2 + 11*k - 20. Let g be z(8). Suppose 4 = -4*l, -4*w + 16 + 12 = -g*l. Suppose 0 = w*o - 9 - 57. What is the least common multiple of 7 and o?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -53 in 3, 4\/73, 1\/3?\nAnswer: 4\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (24 - 4) + 26 + -45 + 24 + -9\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1c1 (base 13) to base 6.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 1\/6, -58, 18, -5\/4, 2\/3 in descending order.\nAnswer: 18, 2\/3, 1\/6, -0.1, -5\/4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -13*q**8\/2 - q**7\/14 + q**6\/10 + q**4\/6 + q**3\/6 - 905*q**2 - 12615*q. Find the third derivative of a(n) wrt n.\nAnswer: -43680*n**3 - 180*n**2 + 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 6*p**2 + 3*p + 5. Let o(t) = t**2 + 18*t + 23. Let u be o(-17). Let m be x(u). Suppose -5*d + 6*d - m = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, -23, 0, -1, -4, 734, 5 in decreasing order.\nAnswer: 734, 27, 5, 0, -1, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y = 4*r + 1, -4*r = 6730*y - 6733*y + 31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4288 is divided by 2142.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -28142, -2\/9, 6, -5?\nAnswer: -28142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 23+-93473\nAnswer: -93450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/4308 and -55\/12.\nAnswer: 4308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 403 divide 969215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 - 3*k**2 + 2*k - 2*k + k**2 + k**2 - k + k + (-8*k + 3*k + 3*k)*(3*k + 0*k - k) + 4*k**2 + 0 + 0)*(-3*k + 7*k - 2*k)*(3 - 5 + 0).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1511, 5, 0.018, -2\/5 in increasing order.\nAnswer: -2\/5, 0.018, 5, 1511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 26 + -10. Let a(o) be the first derivative of o**3\/3 + 7*o**2 + 17*o + 2. Let k be a(-13). Solve -k*i - 2*j = -5*j + r, 0 = i + j + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 plus -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + -2. Let j = 656\/483 + -5\/69. Let p = 1 - j. Put 1, p, x in decreasing order.\nAnswer: 1, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2, -21, -82, -199, -390, -673?\n\"Answer: -3*i**3 - i**2 + i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ptnttppp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**4 + 455*w**3 + 5915*w**2 - 6375*w.\nAnswer: 5*w*(w - 1)*(w + 17)*(w + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 150 = -60. Let q = y - -26. Suppose -q - 6 = -2*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -164 - -813. Suppose 0 = 5*x - x + 16, -t = x - w. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 11 = -4. Let n be (0 - -4) + (-14 - 9\/(-3)). Let c(g) = g**2 + 10*g + 23. Calculate the remainder when i is divided by c(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -68\/11 - -215\/33. Which is the second smallest value?  (a) s  (b) -1  (c) -0.2  (d) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 4*c**2 - 29*c + 6. What is the tens digit of u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3 * 630.\nAnswer: -1890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 f when two letters picked without replacement from dxifwkkw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*z - 4 - 91 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2*31.2035\nAnswer: 62.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 2*s**3 + 26*s**2 - s - 6. Determine p(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 698762, 698764, 698766, 698768, 698770, 698772?\nAnswer: 698774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + 2 - (-1 + 0 + 14 + -18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4298369 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 1013013123?\nAnswer: 1013013113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38580774\/371 - -103991. Let w = x + 1\/53. Which is the nearest to w?  (a) -3\/2  (b) -4  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f = -4*f. Suppose 0 = -4*x + x - 9. What is the third biggest value in x, 2\/5, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -540 + 5?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -3*c + 56. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1044 and 143980476?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 6:36 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 0 - 2 - (-166)\/40 and 20\/(-16)*-37*4\/(-90)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.04  (b) 0.5  (c) 6\/73  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j - 717 = -3*l + 3*j, 0 = -3*j - 9. Does 4 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.06, -59899, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, 405, -4 in descending order.\nAnswer: 405, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - (4 - -12)) + -2. Let a = -5 - l. Factor -8*p**2 - 12*p**3 - 7*p**2 - a*p + 7*p.\nAnswer: -3*p*(p + 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 y, and 1 t when three letters picked without replacement from {y: 1, x: 2, j: 1, p: 1, r: 1, t: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/3 + 32384*g**2\/3 + 64762*g\/3 + 32380\/3.\nAnswer: 2*(g + 1)**2*(g + 16190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - s**2 + 3*s**2 - 2*s**2 + 7*s as b*s**2 + k*s + t and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -63236 (base 9) to base 2\nAnswer: -1010001100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -825 - -1325. Let k = 565 - q. What is the remainder when k is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*o + 52*o - 201 - 11*o**2 + 36 + 10*o**2.\nAnswer: -o**2 - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 19 + 6 = 0, -51 = -2*h - c. Let t = 43 - h. Let l be 20\/t*6\/10. Sort 0.1, 0.5, l in ascending order.\nAnswer: 0.1, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30516 is divided by 577.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 262714815 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 h when three letters picked without replacement from {h: 2, z: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 605.2887 meters?\nAnswer: 605288700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3665694 + 5?\nAnswer: -3665689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 8 = -x, -2*g + 11 = -3*x - 1. Suppose -w + 95 = 3*a, -3*w - g*a = -2*a - 269. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -288596 divided by -28.\nAnswer: 10307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/24 and (-18)\/(-63) + (2 - (-21)\/(-9))?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, k: 2, p: 3}. What is prob of picking 2 k and 1 c?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4176.917 millennia in centuries?\nAnswer: 41769.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52739280 and 792?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -0.1. Let y be 1*5\/((-5)\/6). Let r = -4 - y. Which is the closest to 1\/4?  (a) r  (b) -0.3  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 17021*d**4 - 17*d**2 + 418 - 16861*d**4 + 2055 with respect to d.\nAnswer: 640*d**3 - 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 105359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.418541874 rounded to four decimal places?\nAnswer: -2.4185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 13*q + 8*q**2 - 32*q + 84 - 22 - q**3 + 21*q. Calculate the remainder when h(7) is divided by 44.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -3*m + m. Suppose -f + j + 10 - 3 = 0, 3*f - 2*j - 18 = 0. What is the smallest common multiple of m and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1848 divided by 6.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 3 = 9. Let y = 60 - 18. Suppose 0 = v + q*v - y. Calculate the remainder when v is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 113 * 1.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58, 55, 28, -35, -146, -317?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 38*l - 36*l - 2*c, -3*c + 12 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 0 - (28 - (20 - -9)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43497, -43496, -43495, -43494?\nAnswer: -43493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 29 = -5*t, -5*w - 3*t + 12 = -21. Solve -w*n = -10*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132332120 rounded to the nearest 10000?\nAnswer: -132330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 2 - 30)*(3 - 4 + 0)*(4 + 2*d - 4).\nAnswer: 68*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9790 + 9797. Let p(q) be the second derivative of q**3\/6 - 4*q**2 + q. Calculate p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 5*t + 18915, 4*t + 1408 = 2*c - 8048. Does 55 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -2*b**3 - 171*b**2 - 1683*b + 36. What is v(-10)?\nAnswer: 1766","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 225, 223, 221, 219?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*z**4 - 1)*(0 + 0 + z) + 1897*z**5 - 35358*z + 35358*z.\nAnswer: 1899*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -78*y + 110*y - 340416. What is the remainder when y is divided by 304?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 163*z + 118. Let m(x) = x - 57. Calculate -i(w) - 2*m(w).\nAnswer: -165*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -163 + 108. Let t = 162 + j. Suppose n = t + 20. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8630, -8620, -8598, -8558, -8494, -8400?\n\"Answer: w**3 + 3*w - 8634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.6 - 6. Let g(b) = b + 1. Let f(o) = 3*o - 9. Let p(d) = -f(d) + 2*g(d). Let y be p(9). Is y bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -9*y**2. Let x(r) = 17*r**2 + 3*r - 2. Let p be x(1). Suppose 5*d - 22 = p. Let m(t) = 4*t**2 + 0*t - d*t**2 + 0*t. What is u(m(q))?\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45787 and 434?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*w = -9*a + 6*a + 252, -2*a = 2*w + 18 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = -w + 6*w - 34, -4*w = -4*a - 32 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + -1*(4 + (-3 - 0)). Let p(o) = 50*o**3 + o**2 + o - 1. What is the remainder when p(x) is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8600 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**4 - 2*v**4 + 3*v**4)*(4*v - 2 + 2) + 0 + 0 - v**5 - v - 2*v**5 + v + v**3 - v**3 + 3*v**5.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -5*d. Let h(v) be the first derivative of v**2\/2 - 4. Let t(y) = -y**3 - 11*y**2 - 9*y + 11. Let n be t(-10). Give n*q(o) + 3*h(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1543 greater than or equal to -0.229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from errtfexx. Give prob of sequence tr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 152 - 9. Is y a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*j + 21 = 14*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -7*g - 90. Let p = g - -38. Calculate the highest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 3. Let b be q(0). Let j be 1*((-6)\/b + 15). Suppose 1 = n, 4*n + j = 4*g + 9*n. What is the lowest common multiple of 11 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z**2 - 7358 + 0*z**3 - 2*z**3 + 296 - 159 as m*z + r*z**3 + n + x*z**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of 0*n + 1\/40*n**6 + 21\/8*n**4 + 5*n**3 + 3\/5*n**5 + 10*n**2 + 0. Find l, given that t(l) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3*(-8)\/60*-5)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2 - 17 = 0. Let w(l) = -4*l + 4 - 3 + 3*l. Let m be w(p). Put 4, -1, m in descending order.\nAnswer: m, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 9 - 12*y**2 + 3*y**4 - 781*y - 774*y - 6*y**3 + 1561*y = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15680 + 15680.7593. Round f to 2 dps.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 2\/2 + 4. Suppose -3*x + 105 = -o, 2*x = 4*x + 4*o - 84. Suppose 0 = 3*j + j - x. Solve -y - c - 3*c = j, 0 = -g*y - c + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2485 and 2489 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 236250 and 24171750?\nAnswer: 6750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -0.096  (c) -54  (d) -0.3  (e) 5  (f) -11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - 2*i + 4. Suppose -g - 3*g - 19 = 5*k, -3*k = -g + 8. Give c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3066\/(-63)*(-366)\/(-244)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (2 + -4)*20\/(-25) and 33\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**2 - d + 5. Let l be t(0). Suppose -l*x + 2*s = 2, -5*x = -4*s - 0*s + 4. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*p - 15 = 2*p. Suppose 0 = 5*a + 4*j + 23, 0 = 3*a - 2*a - 5*j - 7. Let d be (6\/(-9))\/(1\/a). Solve p*z = d*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkyeyekyyyeg. What is prob of sequence eey?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 2 = 2. Let o(x) = -x - x - 4 + 5*x**l - 3*x - 7*x**2 - 2*x**3. Is o(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 60 and 250?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 4\/5  (b) -1\/49  (c) 2\/7  (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.15685*4\nAnswer: 0.6274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and 0.0439702?\nAnswer: 0.000879404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -75 + 170. Let x = k - 45. Suppose -x*h + 49*h = -15. Calculate the highest common factor of 135 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 17 + 5)*((-6*h**2 - 4*h**2 + 3*h**2)*(-3 + 3 - 2*h) - 2*h**3 + 0*h**2 + 0*h**2) to z*h**2 + m*h + a*h**3 + w and give a.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1392967311 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/13, 17, 59590\/11?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 251*g + 15. What are the prime factors of d(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 4*m - 3*m)*(15*m - 211 + 211) + 4*m**2 - 5*m**2 + 3*m**2 to g*m**2 + d + i*m and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 93.9321743 + 1.0675657. Let w = -95 + d. Round w to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-3*sqrt(1666))\/sqrt(450) + 5)**2.\nAnswer: -126*sqrt(17)\/5 + 2858\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d + u + 4, 4*d - 3228*u = -3224*u - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 + -5 + (14 - -1). Let q = -13 - 1. Let z = q + b. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -381*n + 1713. What is t(4)?\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let b be 5043\/2 + (-75)\/30. Let y = 3603 - b. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -346 or -348?\nAnswer: -348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 720278.3 nanograms?\nAnswer: 0.0000000007202783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-956*f - 235*f - 18 + 18)*(-4*f + 4*f - f) in the form s + i*f**2 + t*f and give i.\nAnswer: 1191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2525445277 rounded to four dps?\nAnswer: 0.2525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from embbeeesmevembbm. Give prob of sequence sbm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qeqqqhqqqoqq.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 4*a - a - 25, 3*a + 10 = -2*c. Let t be (-4)\/c - (-144)\/(-30). Does 11 divide (t + 2)\/((-1)\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(250)*-1)\/(sqrt(2) - sqrt(18)*-3) + -1)*3.\nAnswer: -3*sqrt(5)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198 = -0*t + 3*t - 3*c, 5*t + 3*c - 362 = 0. Let j be t\/22 + 8\/(-44). Suppose 2*s - j*f - 182 = 0, -7*f + 8 = -3*f. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**1)**50)**(-48) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 656 + -234. Suppose -3*i + k - 5*k = -633, 2*i = 3*k + d. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 942434 + 152349. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 788350796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1592 - 1590. Sort 15, 0, g in descending order.\nAnswer: 15, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*(4 + 1237\/(-309)). Is k at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seventy-four fifths of a second?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 4*a + 21 = 0, -3*r = -a - 2 + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 9892624\nAnswer: -9892617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*p + 617628 - 3406 = 0. What are the prime factors of p?\nAnswer: 2, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -148410 by 85.\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -242*o**2. Let x(a) = -40*a**2 - 11*a - 88. Let w(f) = 2*f**2 + f + 8. Let g(r) = -22*w(r) - 2*x(r). Give g(q(c)).\nAnswer: 2108304*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -196 + 5461 = 9*l. What is the greatest common factor of l and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 - -7 - 18 - (-2 + 12 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -57*x**2 + 866*x - 3136. Determine p(12).\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1225 and 396361.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -764 + 855 = 91*n. Which is the third biggest value?  (a) -8  (b) 0.2  (c) -5  (d) 8  (e) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -538\/5 - -2177\/20. Which is the smallest value?  (a) h  (b) -0.5  (c) 2\/13  (d) -0.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2 - 171\/(-3))*(-54)\/(-15). Let q(b) = 2*b + 26. Let y be q(-12). Suppose y*f - c = -4*r, 4*f - 150 = -3*r + 2*f. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the second derivative of s**3\/6 + 50*s**2 + 4*s + 1. Differentiate a(v) wrt v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140902 - 31004 = 2395*y + 1466*y - 17466 for y.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 44556 and 401004?\nAnswer: 401004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 136*a - 287*a + 104*a - 376 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -z**2 - 17*z**3 + 2*z - 13*z**3 + 29*z**3 - 3 + 0*z + 3*z**4 as x*z**3 + u + k*z**2 + i*z**4 + q*z and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 6*z**2 - 2*z. What is q(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -150 times 466083?\nAnswer: -69912450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18542 - 10863. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 = -6*d + 17. Suppose -c + 204 - 22 = 2*a, 4*c + d = 0. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 + 4*y**2 + 2*y - 2. Let s = -309 - -308. Let g(q) = -q**3 + q**2 + q - 1. Give s*t(z) + 2*g(z).\nAnswer: -z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**15*g)\/g**(-2\/59))**(2\/21))**(-26))**(22\/3) assuming g is positive.\nAnswer: g**(-1082224\/3717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 2, j: 2, q: 1, n: 6}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do 17\/4 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express u - 4*u + 4*u - 18*u + 4 as h + y*u and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -105\/104 or -2?\nAnswer: -105\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/11, 0.108, 2\/7, 0.1, -2\/7, 22?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)*-4)\/sqrt(5))\/(sqrt(14)\/(-2*sqrt(700))).\nAnswer: 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 4*k**4 - 607*k**3 - 1753*k**2 - 13. Let t(g) = g**4 - 202*g**3 - 583*g**2 - 4. Let c(v) = 4*b(v) - 13*t(v). Suppose c(z) = 0. Calculate z.\nAnswer: -63, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 divided by -2041?\nAnswer: -197\/2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5100) - (sqrt(5100)*-1 - sqrt(5100))) + sqrt(5100))*1*1)\/(4*(sqrt(147) - (sqrt(147) + 1*sqrt(147)*5 + sqrt(147) - sqrt(147)) - sqrt(147))).\nAnswer: -5*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -10020111012012 (base 3) to base 14\nAnswer: -32b7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 600.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10122020302 (base 4) in base 14?\nAnswer: 221214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 4*q**3 + q**2 - 5*q. Let b(c) = -5*c**3 - c**2 + 5*c - 1. Let j(u) = -3*b(u) - 4*w(u). Suppose 0 = t - 0 - 2. Suppose -t*s - 2 = 4. Calculate j(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*c**4 + 6*c**4 - c + 3*c**5 + (-2*c + 4*c - c)*(-3*c**4 + 6*c**4 - 4*c**4).\nAnswer: 2*c**5 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28136 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39 by 1.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 59*g**2*k*v - 1219*g**2*v + 2*g*k*v - 3477*k + 11*v wrt g.\nAnswer: 118*g*k*v - 2438*g*v + 2*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4853 + -4048. What is the smallest common multiple of f and 115?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -2*i + 153*o + 165*o - 313*o, 0 = i - 3*o + 11 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -2*q - 3 + 7, -5*q = 5*g - 25. Find the second derivative of 68*l**5 - 5*l + q*l + 146 - 95 wrt l.\nAnswer: 1360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3594*y - 432*y - 2740*y - 615*y - 411*y.\nAnswer: -7792*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91 = -40*v - 87 - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 9:24 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -732*m + 841. Let i(s) = -244*s + 280. Let r be 0\/4 - -1 - 14\/(-7). Let x(n) = r*q(n) - 8*i(n). What is the derivative of x(a) wrt a?\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from vhbgy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b. Let j(l) = l. Let u(i) = -18 - 10 + 11 - 44*i. Let r(z) = -j(z) - u(z). Let n(y) = 6*d(y) + r(y). Differentiate n(f) with respect to f.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 143, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3616, -3497, -3378, -3259?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*h - q + 2, -2*q = -h + 2. Solve -5*n = -h*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m - 5 + 5)*(3*m - 3*m - m**2) + (m**2 + 0*m**2 - 4*m**2)*(-2*m - 1 + 1) + 2 - 2 - m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w**2 - 122736*w + 3766031424 = 0. Calculate w.\nAnswer: 61368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/3 - (-1 - -3). What is the remainder when t*(-4 + 3) + 58 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3392 - -1?\nAnswer: 3393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 127597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u - 88*u**2 + 0*u + 43*u**2 + 39*u**2.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -32  (b) -2\/21  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5790301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -53467*q**3 - 4*q**2 + 5460 wrt q.\nAnswer: -320802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 68*a + 317. Let w be v(5). Find d, given that -35\/6*d**w - 14\/3*d - 2\/3 - 11\/6*d**3 = 0.\nAnswer: -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -10*q**3 - 9*q**2. Let h(s) = -3*s**3 - 3*s**2. Let p(g) = 11*h(g) - 4*j(g). Let c(w) = 8*w**3 + 4*w**2. Determine 3*c(a) - 4*p(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**3 + 9*m**2 - 3*m + 9. Let h be q(-9). What is the highest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4036 = -55*q + 59*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -5*u**3 - 130*u + u**2 - 5*u**3 + 127*u. Let p be q(3). Let g = -122 - p. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-12\/11)*l**6\/l*l)\/((((((l\/(l*l**(-5\/2)\/l))\/l)\/l)\/l)\/l)\/l**(-4\/21)) assuming l is positive.\nAnswer: l**(2411\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.214*-375146\nAnswer: -80281.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*m - 2*m + 5*m - 2*m.\nAnswer: 13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {z: 7, v: 2, e: 1}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2504 - -2504.1121. Round j to 3 dps.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 AM and 1:45 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17700 + 17756. Calculate the highest common factor of 15848 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z + 5*z - 26 - 2*z**3 + 29 - 5*z**2. Let l be t(-5). Suppose 62 = d + 5*c, c - l = -2*d + 4*c. Calculate the highest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 4*t = -3*t - 148, 2*t = 3*w - 434. Suppose l + 5*d = 10 + 56, -2*l + w = 3*d. What is the remainder when l is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 13 = 3*t, 2*k - 3 = 4*t - 7. What is the third derivative of 0*q**2 - t*q**6 - 6*q**6 + 4*q**2 wrt q?\nAnswer: -1080*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + -6 + (-44)\/(-15). Let f = -2\/3 - n. Solve -2\/5 - f*i**4 + 8\/5*i + 8\/5*i**3 - 12\/5*i**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(102)\/(sqrt(6) + (sqrt(6) - sqrt(150))))**2 + ((1*sqrt(136) - sqrt(136)) + sqrt(136) - sqrt(136))\/sqrt(2).\nAnswer: 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m - 4*c + 40, -182*m - 5*c = -185*m - 41 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4743789162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1406488*-3.\nAnswer: -4219464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**3 - 24*r**3 - 3*r**3 + (2*r + 3*r - 4*r)*(2*r**2 + r**2 - r**2) - 4*r**3 - 13*r**3 + r**3.\nAnswer: -39*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + 18512?\nAnswer: 18517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224435.8 nanograms to tonnes.\nAnswer: 0.0000000002244358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 122815, 248491, 374167, 499843?\n\"Answer: 125676*g - 2861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 243 + 1010502244?\nAnswer: 1010502531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 2 - 6*(-2)\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + -0.3. Let q = -0.8 + 2.5. Let u = -1.4 + q. Which is the closest to 0?  (a) 3\/5  (b) u  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3  (b) 10  (c) 12\/55  (d) -84  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 180\/120*((-88)\/18)\/((-2)\/(-3))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(5\/8)\/l*l*(l\/(l**33*l))\/l)\/((l\/(l*l\/(l\/l**(-35)*l)*l))\/(l\/(l\/(l*l**19*l)))) assuming l is positive.\nAnswer: l**(-379\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -868*w + 237*w - 490 = -258*w - 275*w. Let q = 0 + -0.7. Let m = q + -7.3. Which is the closest to 2?  (a) m  (b) 1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p - 1. Let g(k) = 3*k + 4. Let t(o) = -2*f(o) + g(o). Let z be t(-4). Which is the nearest to 2?  (a) z  (b) 0.4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/1740 and -85\/48.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-9))\/(4\/(-18)). Suppose -7 - 22 = 3*c + r, 2*c = -4*r - 36. Let o(z) = z**2 + 3*z + 1. Let t(l) = -2*l**2 - 8*l - 2. Calculate c*o(s) + h*t(s).\nAnswer: -2*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 (base 6) in base 15?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 3 + 0)*(-11*s - s + 3*s) + (-20*s - 22*s + 46*s)*(-1 + 2 - 2)*(3 + 4 - 3) to u + a*s and give a.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 23*c + 344. Give d(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 - 9*i**2 - i - 9. Let x be g(-9). Suppose -3*m - 11*q + 6*q = -88, x = -4*m + 5*q + 164. What is the greatest common divisor of 27 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1806 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1540, 2092, 2644, 3196, 3748?\nAnswer: 4300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 2371 = -7*j + 3*j, 3*u = -2*j - 7071. Is 8 a factor of 1\/(-4) - (4 - u\/(-28))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-40)\/2*(-12780)\/(-5680).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + 5. Suppose -v*y + 48 = 2*y. Let t = -19 + 31. What is the greatest common factor of y and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/13 in -0.03, -0.2, -3, -0.3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1692702 is divided by 2242?\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 258 and 9460?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 - 57. Let m be (z\/(-2))\/(((-1)\/3)\/1). Calculate the common denominator of -25\/6 and (-4)\/m*(-2 + (-610)\/22).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 7331634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) 1  (c) 0  (d) -1.55  (e) 0.57  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b + 9*b - 280 = 0. Let u = b - -308. Calculate the greatest common divisor of 21 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11279 - 12753 = -4*l. Let h = 1335 + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*u**5 + 174115*u**3 - 24*u**2 + 375*u + 605906.\nAnswer: -120*u**3 + 1044690*u - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 2\/9  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*u + 5*y + 5, -5*u + 38 = 2*y. Solve -u = -4*h + 6*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + 2 + (-7 - -7 - 2) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188455473?\nAnswer: 3, 20939497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4971761, -9943521, -14915281, -19887041, -24858801?\nAnswer: -29830561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 340051378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in one twentieth of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 53203, 212818, 478843, 851278, 1330123?\nAnswer: 1915378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12102131020 (base 4) in base 2?\nAnswer: 110010010011101001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -657 + 731. What is the remainder when 221 is divided by w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -129328 by -8.\nAnswer: 16166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 240 + 72*j**2 - 240 as w*j**2 + m*j + t and give w.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -5*w - j, 4*w - 6*j - 167 + 119 = -2*j for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131744.01 months to centuries.\nAnswer: 109.786675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7.14 + 6.14. Put -0.3, -21\/5, s, 2\/15 in decreasing order.\nAnswer: 2\/15, -0.3, s, -21\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 AM and 3:05 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 - 275*b**2 + 276*b - 74. Determine q(274).\nAnswer: 474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 227 divide 90119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/7, -0.2, 0, 32\/9, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2412.6 and -9490?\nAnswer: 22895574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - -1 - 0) + 0. Let y be ((-8)\/(-6))\/(32\/576). Let w be ((-10)\/(-15))\/1 - 19\/y. Which is the nearest to 1?  (a) j  (b) 2\/19  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/19)*b\/(((b*(b*b**(-3\/10))\/b*b*b)\/b)\/b)*b)**(-9))**(-26) assuming b is positive.\nAnswer: b**(25389\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**3 - 5*b**2 - 8*b + 1. What is the tens digit of l(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -360117 + 14834 - 27011 = 4329*k for k.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(3888) + -2 + 3 + (sqrt(3888) - (1 + (sqrt(3888) - -1*sqrt(3888))**2)).\nAnswer: -15550 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19368550613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 3*i**2 + 6*i - 2. Suppose 6 - 26 = -4*v. Let z be 6\/2 - (-6 + v). Calculate u(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - a - 81, -78 = -4*h - 3*a + a. Suppose 31*t - 18*t - 1089 = -309. What is the lowest common multiple of t and h?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o + 37. Let i be a(5). Let s(v) = 334*v - 54. List the prime factors of s(i).\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {a: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 4:56 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 70 - 65. Solve -d + 3 = -5*v - r, -d = 2*v + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b**3 - 105*b**2 + 432*b + 540 = 0 for b.\nAnswer: -1, 6, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-66) + (-4)\/(-44)*2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1.4 and -2814.58617?\nAnswer: 2813.18617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 < -1\/327?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -6 + 11609?\nAnswer: 11603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 649383.39 microseconds in hours?\nAnswer: 0.000180384275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 7:04 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 68*r - 12*r**2 - 44*r + 5*r**2 in the form f + z*r**2 + h*r and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 2*i**2 + 4*i. Suppose 3*t - 2*r = -13, 2*t - 4*t + 2*r = 10. Let v be u(t). What is the units digit of 9\/v + 50\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1212*r**6 - 2*r**5 + 1590*r**2 wrt r?\nAnswer: 145440*r**3 - 120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 13) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (15\/1935)\/((-4)\/(32\/3)*1630\/(-7335))?\nAnswer: 4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from sshshhsshhshsssh?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(11) + sqrt(44)\/sqrt(4) - sqrt(11)) + 6*sqrt(1331).\nAnswer: 1 + 67*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13313 - 11143?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - 2 - (-4)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 7*y - 2)*((93 + 136*y - 93)*(-y + y + 2*y) - y + y + 3*y**2) in the form o*y**3 + w*y + c*y**2 + s and give o.\nAnswer: -1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.96165 + -101.038145. Let g = c - -102. Round g to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1004 is divided by 188?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 628691379?\nAnswer: 3, 209563793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1.9322033 + 581.6\nAnswer: 583.5322033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -110000011 (base 2) to base 5\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c - 1. Let b = 4 + -1. Suppose 2*s - b - 3 = 0. Suppose j + s - 2 = 0. Let t(x) = -x. What is j*w(q) + 2*t(q)?\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 158\/3, 18329, 0.2 in increasing order.\nAnswer: 0.2, 158\/3, 18329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1043 = -44*t - 5*t + 1015 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = n. Let r(l) = 4*l + 102. Let d be r(23). Suppose 3*m + o - 123 = n, -d = -2*m - 3*m + 2*o. What is the greatest common divisor of m and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 16*y**2. Let c(s) = -4*s**2 + 97*s - 200*s + 103*s. Determine o(c(x)).\nAnswer: 256*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 72*i + 96 + 93 + 104 - 385 + 92.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/8 of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -100 - -105. What is the second smallest value in x, -20, -2, -2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11919958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 207 - 207. Let n(k) = 3*k + 118. Is 20 a factor of n(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(68) + (sqrt(68) - (sqrt(68) + -2)))**2 + sqrt(2057)*-1.\nAnswer: -3*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2\/377 - 724\/5655. Sort -4, -0.2, -0.5, u.\nAnswer: -4, -0.5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 41*k + 0 + 33*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 4) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**2 - 3*d - 4. Let i(c) = 2*c**2 + 4*c + 5. Determine -6*a(z) - 5*i(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2166956 (base 11) to base 4\nAnswer: -32200001003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2156?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h + 2*h + 98*r - 103*r = 35, -4*r = 5*h + 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -9. Suppose -d + 2*s - 2 = 0, -2*d + v*s - 10 = -d. Let c be (-2)\/d - (-795)\/9. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 10 + -9. Put 13, -1, c in descending order.\nAnswer: 13, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1472 (base 9) to base 6\nAnswer: -5102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 620 divide 1097323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -113617185, -227234373, -340851561?\n\"Answer: -113617188*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of 3*x**4\/4 - x**3\/3 - 24*x**2 - 57. What is the second derivative of p(f) wrt f?\nAnswer: 18*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 4*o**3 - 5*o**2 - 113*o + 10. Let x be z(6). Solve -4*l = g, -3 = -15*l + x*l + g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - g**2 + 1)*(27*g + 24*g - 4*g)*(121*g**2 + 19*g**2 - 218*g**2).\nAnswer: 3666*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -17 + 27 + -9 + (-12 - -7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n**2 + 2*n**3 - 5*n**2)*(-562 - 36 + 157).\nAnswer: -882*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + (sqrt(119) + sqrt(119) + sqrt(119) + sqrt(119)*2)*1)\/sqrt(7).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a day in minutes?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f - 2. Let a(q) be the second derivative of 0 - 2*q**2 - q + 1\/6*q**3. Let l be a(7). Determine s(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.175807 to 3 dps.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w = 11 + 171. Suppose 15*q + w*q = 1176. Solve 4*j - 4*c + 18 = q, -c + 14 = 4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 20513101*k**2 - 82285554*k wrt k.\nAnswer: 41026202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -6\/13511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 - -6. Suppose -2*n = -j*l + 28, -3*n = 4*l - 5*n - 38. Let b = l - 3. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -6, -33*h + 10*h + 12*h - 15 = 4*f - 10*h + 23 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z*z**(-4))\/z*z*z\/(z*z*z**(-1)))**(-23)*(z**(1\/3))**(-21)\/(z**(-2))**(1\/5) assuming z is positive.\nAnswer: z**(197\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 28 = -138. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188580 is divided by 47144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 + -1.3. Let v be (7 - (-4)\/2)*1. Let i be ((-3)\/v)\/(12\/9). Do f and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1900)*-2 - sqrt(1900) - sqrt(1900)))**2 + sqrt(1900) + sqrt(1900).\nAnswer: 340*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 7, n: 3}. What is prob of picking 2 w and 1 n?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 675571537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -169 - -714. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 873444?\nAnswer: 2, 3, 11, 13, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 4*y = 8*x + 1, 2*x - 7 = -y. Solve 0 = 12*o - 13*o + x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**0\/(i\/(i*i\/i**(-6)*i)*i)*((i\/(i**(3\/8)\/i))\/i)**(-26))**14 assuming i is positive.\nAnswer: i**(-259\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (0 + 1)\/((-4)\/(-16)). Which is bigger: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 4042, 4063, 4098, 4147, 4210, 4287, 4378?\n\"Answer: 7*w**2 + 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -240.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -281, -241, -191, -143, -109, -101, -131, -211?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -1 - (866 - 911)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 1 = -5. Suppose 4*s + 5*b = t*b + 11, -3*b = s - 11. Solve 0*j**2 - 10*j - 5*j**s + 0*j**2 + 0*j**2 = 0 for j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3591 a factor of 2713789031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200102111212 (base 3) to base 11.\nAnswer: 228546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23159*w**2 + 4*w**3 - 3*w**3 - 167 - 3*w**3 + 165.\nAnswer: -2*w**3 + 23159*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-3))\/(-5)*(-105)\/(-14)*(-603)\/45.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 13, 7, 6, 3\/4, 113, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*f + 1 + 7 - 5)*(-f - 3*f + 3*f) in the form p*f + h*f**2 + z and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174153612 is divided by 14473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 9, j: 3}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.27 - 0.13. Put -0.06, 2\/9, j in descending order.\nAnswer: 2\/9, -0.06, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + -5)\/(2\/(-6)). Is r + (78 - -5) + 0 + -1 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011011111101010110 (base 2) in base 6?\nAnswer: -21405234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -403 (base 12) in base 4?\nAnswer: -21003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66067.\nAnswer: 66067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1197123728 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -11492247 divided by -13?\nAnswer: 884019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000050411 rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t + 0*t + 6*t + 7 + 4*t with respect to t.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1191, -2637, -4317, -6231, -8379, -10761, -13377?\n\"Answer: -117*l**2 - 1095*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 340 + -339.99963. Round s to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 115, 121, 133, 151, 175?\n\"Answer: 3*r**2 - 3*r + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - 1)\/((-12)\/(-330)). Let x be ((-32)\/p)\/((-4)\/10). Factor 2\/11*g**3 - 6\/11*g + 0*g**2 + x.\nAnswer: 2*(g - 1)**2*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 105698.6 + -105698. Let p = 4 - 7. What is the smallest value in p, a, 2, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000145141 to 7 dps.\nAnswer: -0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -3*sqrt(2057).\nAnswer: -33*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007704118 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.98 + -0.02. Let y = x - 2. What is the biggest value in 2\/15, y, -0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - (20 + -14 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -16922 divided by -10029?\nAnswer: 16922\/10029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 373 + -370. Let d(i) be the first derivative of 1\/4*i**2 - 2 - 1\/8*i**4 - 1\/3*i**s + i. Find p, given that d(p) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 54205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45.922 + 11.884. Let u = x + 0.038. Let s = u - -35. Which is the third smallest value?  (a) -0.3  (b) 5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 149\/(-12) + 7 + (-1 - 4) and -73\/33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-9)*(2 + 0). Suppose 0 = -14*j + 23*j + 180. Let c be (3\/4)\/(35\/j + 2). What is the third biggest value in g, -4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 664121?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from {q: 7, h: 2, c: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3 or 47\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 529 by 15664.\nAnswer: 529\/15664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -4*s - 66. List the prime factors of s.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4 = 3. Let g = 1 + x. Let u(l) = -3 - l**2 + 2 - l**3 - 2*l + g*l - 3*l. Determine u(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - (17 - (-24 + 49)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 582737 is divided by 193960.\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 4*g + 3. Let j be (-3*(3 - 5))\/(-2). Let r(m) = 5*m + 3. Let i = 13 - 9. Let a(y) = i*d(y) + j*r(y). Determine a(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x. Suppose h + 0*h = -5. Calculate g(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of t**5\/60 - t**4\/6 - t**3 - 2*t**2. Let n be (0 + 5)\/(-1)*-1. Let u be b(n). Which is smaller: -2\/5 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 327795781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 88*z**2 + 61*z**2 - 148*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + sqrt(180) + sqrt(5))**2 + 1 + 5.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-18)\/(-36) - 38\/(-4). Suppose -5*c = -3*c - f. Solve -c*o = -7 - 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5872 at most 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/15)\/(27\/(-135)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -305 + 304.364. Let i = g + 0.7. What is i rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vooopoosoosovisg. What is prob of picking 2 v?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**(4\/3)*f*f\/f**17*((f\/f**(1\/2))\/f)**(-10) assuming f is positive.\nAnswer: f**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -119*g**3 - 283*g**2 - 276*g**2 + 563*g**2 in the form j*g**2 + v*g**3 + a*g + m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p + 127662355 + p**3 + 9*p - 127662355.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1145, 3831, 11169, 25499, 49161, 84495, 133841?\nAnswer: 199539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 8*b**2 + 9*b + 2. Determine z(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/208 and 119\/243386.\nAnswer: 1947088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1225 (base 8) in base 11?\nAnswer: -551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 120, 256, 418, 606?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gao when three letters picked without replacement from oaagkogaagopa.\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 7*o + 2*i - 728, 2*o - 368 = -2*i. Is 9 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 43 = -2*j, 2500*l = -4*j + 2505*l - 89. Let r(n) = -n**2 - 29*n - 74. Calculate r(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 3*d**3 + 152*d**2 + 576*d + 31485. What is p(-51)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 11:27 PM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from lqsdcqcscqlcqiqqd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -43*c + 41*c + 12, 0 = -2*c + 4*b - 12 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1084*y = 1175*y - 1274 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7, 10, -2, -13.\nAnswer: -13, -2, 1, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1305396324 and 972.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 j when two letters picked without replacement from {j: 3, h: 12, k: 2}.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2839 - 2806. Solve 0 = 5*s + x*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5b93bd (base 15) to base 11.\nAnswer: 2525554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-9975)\/76)\/((-2)\/8). Is 1049\/2 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/44)\/(7515\/(-1336))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2. Let v(d) = 318116913*d**2. Calculate v(m(l)).\nAnswer: 318116913*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 + 26. Suppose -8 = 2*h - j. Suppose -5*p + 138 = 2*l, -3*p - l - 141 = -h*p. What is the highest common divisor of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52004634?\nAnswer: 2, 3, 11, 19, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 17 + 68 + -59.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*10\/4*(-3 + 39\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -4*g - 1367, 0*c - 691 = 2*g - c. Let l = g + 389. Which is bigger: 122\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 5 + 1)*(-v + 3*v - v) - 3*v - 7*v + 4*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 a when three letters picked without replacement from {l: 1, a: 3, t: 1, r: 2, z: 5}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40.2 - -54.1. Is f at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -0.2784489121.\nAnswer: 2.7215510879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 2*r + 1. Let d(z) = -4*z**2 + 8*z + 2. Let w be 0 - (8 + -4) - 0 - -5. Let t(y) = w*d(y) - 5*x(y). Determine t(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 45*z**3 + 7837*z**2 + 84677*z + 3?\nAnswer: 270*z + 15674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*u + 30*u = -12. Suppose 1267 = u*z - 4436. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/3 of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l. Let s = 1 + -3. Let u be k(s). Suppose 12 = 2*c - 4*d - u, -2*c = 5*d - 32. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2 = -2*g, -t = -5*g - 146 + 157. Solve -x + 19 = 5*p, -4*x - x + 14 = -g*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s**5\/2 - 3*s**4\/2 - 4*s**3 + 12*s**2 + 8*s - 24 = 0. What is s?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -46c8e6 - -5?\nAnswer: -46c8e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2217, -2218, -2219, -2220, -2221, -2222?\nAnswer: -2223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 87 = 5*x, -2*x - 854*i = -849*i - 45. Solve x*v - 66 = 24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 14*h**2 + 1. Let o be i(-1). Suppose -o = w - 6*w. List the prime factors of (2 + w)*(-2)\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -658.94404 - 0.42596. What is s rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 111201200?\nAnswer: -111201121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5 + -3. Let c(z) = 4*z - b*z + 15 - 5. Let y be c(0). What is the greatest common divisor of 15 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.21016 and 683?\nAnswer: 682.78984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 213 and 27420555?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 644, -545.\nAnswer: -545, 4, 644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**2 - 5*s**2 + 4*s**2 - s**2 - 3*s**2 + 2*s**2 + (-4*s + 6*s - 3*s)*(0*s - s + 2*s) - s**2 + 57*s - 57*s + s**2 + 3 - 3.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 120.7 - 203. Let y = 43.3 + g. Is y >= -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -14 + 14.000936. Round h to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1611, -1616, -1621, -1620, -1607, -1576?\n\"Answer: f**3 - 6*f**2 + 6*f - 1612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.1 and -45267774601503.\nAnswer: -45267774601503.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 7:56 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56 - 58 = -i - 4*s, 32 = -2*i + 4*s for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128*o**4 - 1120*o**3 - 1566*o**2 - 338*o - 20 = 0. What is o?\nAnswer: -1, -1\/8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 8*a = -7*a. Suppose -6*w - 26 + 554 = a. Calculate the smallest common multiple of 16 and w.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 1 b, 1 e, and 1 z when four letters picked without replacement from bzbxobdzzbdxzebde.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let q = 7\/29 - 155\/522. Let f = -4\/9 + q. Let i = 12 - 8. Which is the nearest to f?  (a) i  (b) 1\/4  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4843, -4845, -4847, -4849, -4851, -4853?\n\"Answer: -2*w - 4841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1377 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36) + (sqrt(1296) - -2*sqrt(1296)) + sqrt(36))\/((3*sqrt(96))\/sqrt(8)).\nAnswer: 20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 41042.062373 - 41042. What is y rounded to 4 dps?\nAnswer: 0.0624","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (14909 + 2*f**2 - 50*f**3 - 91*f**3 - 14908)*(-3 + 2 - 1) as s*f**2 + t + j*f + b*f**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -77*y - 34 + 7*y + 34 to u + a*y and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/9*3\/2. Suppose -5*q = -3*z - 0*z - 15, 4*q - 12 = 5*z. Put z, h, -3 in increasing order.\nAnswer: -3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001494 rounded to 4 decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 41 = 5*f. Suppose -3*t + 19 = 5*b, 0 = 6*t - 2*t - 3*b - 6. Solve -t*q = q + v - 6, f = 3*q + v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2019684 centimeters in meters?\nAnswer: 0.002019684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -214, -2\/3, -0.5, -4?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5406 is divided by 51?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15) + (sqrt(1815) - sqrt(1815)*1 - sqrt(1815) - sqrt(1815)))\/(sqrt(25)\/(-1*sqrt(5))))**2.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -48031 + 2305355\/48. Find the common denominator of -23\/366 and j.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*s = -4*s + 12. Is (1 - (-6)\/s)\/(28\/(-48328)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 4. Let v = 1 - u. Let s(f) = -f**3 + 8*f**2 - 5*f - 10. Let l be s(7). What is the nearest to v in 2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, i: 3}. What is prob of sequence vii?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 - -13) + (1 - 6 - -6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -32904479, -32904491, -32904503, -32904515, -32904527, -32904539?\n\"Answer: -12*h - 32904467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/84*12)\/(-13)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2442 - -31780\/13. Let l = 3516 - 21143\/6. What is the common denominator of l and s?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -42.7 - 9.3. Let h = -198 - l. Let d = h - -146.0158. What is d rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.55 from 65497.242201.\nAnswer: 65497.792201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3\/2 + 3099*f**2\/2 + 400932*f + 399384.\nAnswer: 3*(f + 1)*(f + 516)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1253893285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/37?  (a) 5  (b) 2\/7  (c) 5\/4  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 3350592 and 4432?\nAnswer: 3350592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 227425?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*c - 6 + c + 3.\nAnswer: 5*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2  (b) 0.2  (c) 5\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4130344639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-25 - -11) + 11 - 28.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*w = 15*w. Solve 3*m = -w*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**2 - 3*w - 1. Let g be f(-2). Let t(u) = -3*u - 4. Let d be t(g). Differentiate 4*i + 2 + 2*i - d*i wrt i.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.85 and -23.\nAnswer: -21.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1, 0, -3, 10.726, 1\/6, 27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2868260?\nAnswer: 2, 5, 143413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**7\/10 + 13*q**6\/60 - q**5\/30 - 47*q**3\/6 + 454*q**2. Find the third derivative of n(u) wrt u.\nAnswer: -504*u + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -13*s**3 - 2*s**2 - 2*s. Suppose -26 = 4*r - 2*i - 16, -r = -2*i + 4. Let w(m) = -675*m**3 - 105*m**2 - 105*m. Calculate r*w(f) + 105*o(f).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20*6\/(120\/5). Suppose -k*y - c = -120 - 8399, -4*y + 5*c + 6792 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2271916481?\nAnswer: 43, 59, 911, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 6) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -7*y + 4. Let f(w) be the third derivative of -w**4\/3 + 5*w**3\/6 - 7*w**2. Give -7*a(v) + 6*f(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3 - -5) + -7)\/(-1). Suppose 2*f - 2*q + m*q = 89, 0 = -3*q + 3. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3476)\/116 - 43\/((-3698)\/2580)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.5 - 2.5. Let d be ((-38)\/(-12) - 3)*162\/(-108). What is the closest to q in -3, d, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4396777 divided by -24563\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1416 - -2045. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/20 in 0.9, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**2 + 13*t + 25. Determine m(14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9706.\nAnswer: 2, 23, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 7 + 3*w**2 - 16 + 6 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 655 divide 26272676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*d + 37*d = 12. Let l(x) = -2*x**2 - 35*x - 138. Let t be l(d). Factor 0*g**2 - 1\/9*g**4 + t*g + 0 + 1\/3*g**3.\nAnswer: -g**3*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 106794469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 2, 13, 1.6, 0.9, 10?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (14\/21)\/((-5)\/(-675)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 9*y - 6 + 194 - 14*y + 34*y - 183 - 12*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*v = -12*v + 1082 + 1 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17546, 35126, 52706, 70286, 87866, 105446?\nAnswer: 123026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11222221210 - -10?\nAnswer: -11222221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -2*f**3 + 43*f**2 + 20*f + 46. Let q be o(22). Determine w, given that 12*w**3 - 4*w**4 + 41*w - 9*w**4 + 23*w + 14*w**4 + 48*w**q = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((2 - -1) + 1)*-1. Let z be ((-4)\/6)\/(b\/30). Solve -4*c - j = c - 18, -3*j + 14 = z*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = 199*i + 7739. What is the remainder when d(-34) is divided by 438?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 135, -1, -168, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 - -3.5. Let p = z - -4.5. Let j be (-87)\/360 - (-2)\/(-15). Which is the nearest to p?  (a) -2\/9  (b) -0.3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8385 and 390?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 - ((-1350)\/(-36) + -20)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -77197, -154353, -231485, -308587, -385653?\n\"Answer: u**3 + 6*u**2 - 77181*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5091015 and 370?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 195*l**3 + 11*l**2 + 14*l + 90. Let u be s(15). Round u to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a century in years?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9105 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15 * 253669.\nAnswer: 3805035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1.1 and -725.\nAnswer: -726.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -6*k - 98. Let x be i(-17). Solve 11 = x*b + 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + 2. Suppose -p = -3*y + 5. Solve -2*h - y = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 615*p*v**2 - 505*p*v - 150*p - 297296533*v**2 wrt p.\nAnswer: 615*v**2 - 505*v - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(-4)\/(-12)*0\/2. Let p(n) = -n**2 - 3*n + 3. Calculate p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -107\/7. Let r be (-4)\/(-6)*135\/(-120). Which is the third smallest value?  (a) r  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -m - 5*m**2 + m + (1 - 3*m**2 - 5 + 2)*(-1 - 4 + 2).\nAnswer: 4*m**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 194, 0, 9601 in ascending order.\nAnswer: 0, 194, 9601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q**2 - 4*q**4 - 4*q**2 + 7*q**2 - 3*q**4 + q**4 - q**4 + 4*q**4 + 0*q**4 - 2*q**4 + (3*q**3 - 6*q**3 + q**3)*(0*q - 5*q + 3*q).\nAnswer: -q**4 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 89 = -1. Suppose -34*c = -33*c - p. Let g(t) = 6*t - 12. What is the units digit of g(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -151 * 6\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6 and 144.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 2. Let r(i) = 8*i**2 - 6. Let t(k) = -5*r(k) + 5*u(k). What is the derivative of t(m) wrt m?\nAnswer: -70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vic when three letters picked without replacement from vvxivvoc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -3 - (-5 - 0) - -3. Let t be (f\/((-105)\/12))\/(-1 - 57). Is 1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2138 and 6?\nAnswer: 6414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 414150 (base 7) in base 12?\nAnswer: 35179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -7.54 and 2.\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21*p**5 + 2*p**4 + 16*p**3 - 14*p**2 - 56560183*p.\nAnswer: 420*p**3 + 24*p**2 + 96*p - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/61 and -139\/2280.\nAnswer: 139080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -223*b**2 + 242*b**2 - 4 + 24*b**4 + 5 - 22*b**4 as i + j*b + x*b**2 + f*b**4 + g*b**3 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 + 10*v - 3. Let t be w(9). Suppose 0 = -4*k + k + t. What is the biggest value in k, -4, -0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -61?  (a) -3\/2  (b) -12\/139  (c) -1.7  (d) -4  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -1) + 38 + -34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.83 + -3.83. What is the smallest value in -1, -0.3, r, 6\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + -8 + (-935 - -935).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 30029095 is divided by 3722.\nAnswer: 3721","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9\/3417056 - -1647101101\/30415215456. Let y = -8\/207 + w. What is the nearest to -1 in 2\/5, y, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 8764 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4b - 1?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-13)\/j)**35\/(j**22*j*j**10*j) assuming j is positive.\nAnswer: j**(-524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + (sqrt(513)\/sqrt(9))\/sqrt(3) + (sqrt(19) - (-5 + sqrt(19)))**2 + -4)*5.\nAnswer: -625 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1261057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 93.47 + -93. Let g = y - 0.31. Let o be 1 - (36\/15 + -1). Which is the nearest to g?  (a) 5  (b) o  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -136 - -141. Suppose -5*v + m + 0 = -u, v + 5*m = -25. Is v < 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -41 + 22 - -20 - 0. Suppose 0 = -5*g + 2*d + 2353, -5*d = -g - g + 958. What is the tens digit of ((-6)\/(-21))\/(l\/g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, -0.563, -11 in descending order.\nAnswer: -0.1, -0.563, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 250002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 14*m**3 - 2*m**2 - 5*m. Let n(h) = -h**3. Suppose 139*w = 141*w + 2. Let o(x) = w*a(x) + 4*n(x). What is the third derivative of o(k) wrt k?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 13, 48, 99, 160, 225?\n\"Answer: -s**3 + 14*s**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -80*i + 69*i + 55 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u + 20 - 13. Suppose -u*y + 25 = -3. What is the third derivative of -5*t**2 - 2*t**2 - 13*t**5 + y*t**2 - t**5 wrt t?\nAnswer: -840*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -53. Let g = -34 - r. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {q: 3, y: 3, w: 1, r: 1, u: 2, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 621.884 take away -3?\nAnswer: 624.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - m + 18 = 0. Sort m, -2, 4 in decreasing order.\nAnswer: 4, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes after 2:03 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52013792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -225, -297, -357, -399, -417, -405, -357, -267?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 4*g - 96. Let z be (g\/(-12))\/(84\/18). What is the third smallest value in 11, 0.4, -4, z?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**3 + 48*m**2 - 80*m.\nAnswer: -4*m*(m - 10)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 57 + -56. Suppose 3 + 15 = x. What is the remainder when (-2 + c)*-33 - (-3)\/3 is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1409562 and 4746.\nAnswer: 1409562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*s - 3 = 0, 0 = -g + s - 2 + 3. Let y be 9 + g*(-1 + 0). Suppose -4*v = -y*v + 24. Calculate the lowest common multiple of 16 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -59 + 83. Let j be 1*(-2)\/(-2) - -18. Let y = -11 + j. What is the greatest common factor of y and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -0*m + 4*u + 20, -m = 4*u + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 + -2.5. Let s = 57.075 - 0.075. Let v = -57 + s. What is the third biggest value in 0.2, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 16 + -15060565?\nAnswer: -15060546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 398, 795, 1192, 1589, 1986, 2383?\n\"Answer: 397*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 3 = 3*g + 1, 5*y - 20 = -3*g. Suppose -j = -5*h + 98, g*h + 4*h - 72 = 4*j. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 3:29 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1100101010 (base 2) to base 13\nAnswer: -4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -f + 1. Suppose 4*n - 4 = 4. Let u be 0 + (-4 - (-1 - 10)). Let w(d) = 6*d + 6 - 6 - u*d. Give n*y(h) - w(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 - -72. Suppose -8*p - a = -1508. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/30)\/((-1)\/6))\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 4*w**2 + 2*w + 3. Suppose 0 = 2*h - 2, 5*i + 825 = 3*h + 812. Let z(t) = 15*t**2 + 7*t + 13. What is i*z(q) + 9*k(q)?\nAnswer: 6*q**2 + 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*z = 10170, 32*z - 31*z - 50928 = -5*x. What is the greatest common divisor of x and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from zzcccszccssyz?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/5 - 66\/(-10). Let o = -4 + z. Suppose -o*t + 53 = 20. What is the highest common divisor of 77 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**3 - 5*f**2 - 3*f + 4. Let w be c(5). Is 1832854\/418 + (-2)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(1425) + sqrt(57)))\/(sqrt(240)\/sqrt(5)) + (5 + sqrt(1539)*-1 - (sqrt(1539) + -2 + 3)))**2.\nAnswer: -84*sqrt(19) + 8443\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from kkuuubuukkkkbbkub.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*t + t = -784. Let y = t - -76. Let i = 79 + -49. Calculate the greatest common divisor of y and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.596 - -0.004. What is the second smallest value in 5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in -0.2, 11, -2, -85, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 6*i - 51. Let m be k(9). Let o(b) = 92*b**2 - 5*b + 20. Let a be o(m). Let z = -502 + a. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -30\/2623 and -38\/387.\nAnswer: 23607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1384 and 160777204.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -185 + -11?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 204 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 3:31 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, l: 2}. What is prob of sequence aal?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (6\/8)\/((-3)\/(-8688)*12) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -14. Let l be 1\/s + 91\/5. Suppose -4*n + 2 = l, -3*d + 12 = 3*n. What is the remainder when 14 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -84 - -91. Suppose -y + 4*y = -5*h + 40, -4*y + 5 = -3*h. Calculate the remainder when w is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11 at least as big as 11683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 10*k + 116. Give m(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 929 is divided by 212.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -19*k - 132. Let q(m) = m. Let b(n) = 2*q(n) + x(n). Let i be b(-8). What is the third smallest value in 1, -2\/7, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3066\/4)\/(144\/480000). Round r to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10354363 (base 7) to base 2.\nAnswer: 11011000101011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the first derivative of 239*t**4\/2 - 536*t + 660. Differentiate n(l) with respect to l.\nAnswer: 1434*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, w: 13}. Give prob of picking 3 y.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186658541 divided by -3.\nAnswer: 186658541\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b - 3. Let y = 105 + -106. Let t be y + 7 - 2\/1. What is h(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47648.704 times 0.1\nAnswer: -4764.8704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 5*o - 140 = -4*x, o = 4*x - 134. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 303*l**3 - 249*l**3 + 308*l**3 + 4.\nAnswer: 362*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 449*o. Let r(l) = -2*l - 189. Give d(r(g)).\nAnswer: -898*g - 84861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0296 less than or equal to 20245?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the third derivative of -1\/15*j**5 - 1\/120*j**6 - 1\/6*j**3 + 1\/8*j**4 + 0*j + 39*j**2 + 0. Calculate b(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1445 = 9*x - 5845. Is 54 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 1035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + g - 8 = -0*g, 23 = l + 4*g. Suppose 2*p + 5 = 9. Solve l*b - 25 = -p*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h + 2*h**2 + 4*h**2 + 9*h**2 - 32*h**2)*(-2*h**3 - 2*h**3 + h**3).\nAnswer: 51*h**5 - 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 50183 (base 14) in base 9?\nAnswer: 322817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3\/11 + 938*j**2\/11 + 2760*j\/11 - 16776\/11.\nAnswer: 2*(j - 3)*(j + 6)*(j + 466)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 + 2*b + (2 - 2 - 2*b)*(-4 + 2 + 0) - b - 4*b + 3*b - 10*b + 5*b + 10*b + (-2*b + 0*b - b)*(-3 + 3 - 6).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -103 in 42, 18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(sqrt(20)\/sqrt(4))*4.\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mxeokmowmmwmkkw. What is prob of picking 1 x and 2 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 987 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 111 + -1551352?\nAnswer: -1551241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-22)\/(-66))\/(3\/306) and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3083\/(-120237))\/((-2)\/234)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1378 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 31.6 minus 19071507?\nAnswer: -19071475.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*b - 184 = 15*b. Calculate the smallest common multiple of 211 and b\/(-16) + (-60)\/(-8).\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35283 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*q**2 + 196*q**2 - 9 + 6*q + 7*q**2 + 1.\nAnswer: 225*q**2 + 6*q - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 45264 (base 9) in base 5?\nAnswer: 1430414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1142 (base 5) in base 4?\nAnswer: 2230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the first derivative of -5*x**3\/3 - 11*x + 13. Differentiate s(z) with respect to z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 + 0 + 3)*10. Let u = 49 + -44. Suppose 0 = 5*w - 5*c, u*w = -8*c + 3*c + 20. Solve 2*z = -w*z - i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -296, -295, -294?\n\"Answer: z - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 1)*(-4*x + 5*x - 5*x)*(-3*x + 0*x + 6*x) + 19*x**2 + 36*x**2 - 81*x**2.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15749 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 64*(((-8)\/(-14))\/(-4))\/(106\/371)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2709 + 1511 = 5*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 2:58 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 2*s**2 + 2. Suppose 2*j - 2*d = d + 4, 2 = j - d. Let p be t(j). What is the highest common divisor of 70 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 d when two letters picked without replacement from ldlfhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13*(-48)\/(-1404)*5985\/(-70).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 27 in -0.3, -1\/2, 8, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -23. Suppose w + 2 = 4*j. Solve -2*s = 2*q, -j*s - 2*q - 2 = 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 2318*w - 1940. Determine g(1).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, q: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 10752482 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do -19868 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1519545426958823.59000241 + 1519545420866495. Let m = y + 6092327.2. Let f = m + 1.39. What is f rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*n**2 + 480*n**2 + 299*n**2.\nAnswer: 900*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 3*s - 1. Let x(y) = 7*y + 5. Let f(h) = 8*h + 6. Let j(d) = -6*f(d) + 7*x(d). Determine j(q) - n(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*y**2 + 20 + 13 - 33 + 26*y**2 - 53*y**2.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -17. Suppose -4 = -4*r, -3*p + 0*r = -r - w. Solve -9 - 6 = p*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2 + 0 + (3 - 3 - 2)*(-2 + 1 + 2) + 35 + 12 + 114)*(3*x - 4*x + 2*x).\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -380203334 divided by -230566\nAnswer: 1649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 3268.966576 to the nearest 100.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 5*u = 10, -6*c - 2*u = 59 - 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 - 25. Let r(h) = h**3 - h**2 + 2*h + 7. Let b(f) = -f**3 - f**2 + f. Let w(s) = p*b(s) - r(s). Calculate w(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4.86 - -0.14. Let o = w - 10. Let p = 26 + -22. What is the nearest to -1 in o, p, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -r - 22*r**2 - 1 + 1 - 11*r**2 to the form j + o*r**2 + b*r and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 7332 = 3*p, 47*p - 18255 = -5*y + 42*p. What is the greatest common divisor of 138 and y?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170 = -4127*j + 4132*j + 3*u, 3*j + 4*u = -223 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -130, -175, -210, -229, -226, -195, -130?\n\"Answer: a**3 - a**2 - 49*a - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g + g**3 + 2 + 2 - 4*g**2 + g**2. Suppose 16*o - 9 = 15*o. Suppose -2*s + 2*n + 3 + 7 = 0, o = 3*s + 3*n. Calculate y(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 7 = o - 0*g, 4*o - 3*g = 43. Solve 0*x - 2*b + 14 = 4*x, -3*x - 2*b + o = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (27 + -33 - -8) + 5 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 + 47 - (1 + -14 + 13 + -7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of 13*a**4\/12 + 5*a**2\/2 + a. Let n(p) = 4515282*p**2 - 2 - 4515302*p**2 - 6. Calculate -8*c(r) - 5*n(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/40 and -79\/210?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3\/35 - -181\/70. Let z = 51 + -358\/7. What is the nearest to -2\/7 in w, 5, -5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -11765729 + 5\nAnswer: -11765724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -66*1\/4*(32\/12)\/(-1). Let u be (-88)\/(-12)*(-198)\/(-12). Calculate the greatest common factor of l and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 4*o**2. Let r(i) = -2*i - 4. Let b be 10\/(-14) + 6\/(-21). Let z(l) = -l - 1. Let q(t) = b*r(t) + 4*z(t). Determine q(h(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 7*v**2 - 5. Let o(u) = -u**2 - 2*u**2 + 4*u**2 + 0*u**2. What is o(x(k))?\nAnswer: 49*k**4 - 70*k**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1405000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.06 - -11.06. Let f = -10 + w. Let j = 21.5 - 22. Which is the nearest to f?  (a) 1\/7  (b) j  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5 = -m, -2739010 = 3*i - 2*m. What is i rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 39.937  (b) 0.5  (c) 202\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5846817944?\nAnswer: 2, 11, 66441113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 281335?\nAnswer: 5, 56267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**31*k**(-1\/11)*k**(-2\/61)\/k*k*(k*(k\/(((k*k**(2\/103))\/k)\/k))\/k)\/k assuming k is positive.\nAnswer: k**(2201725\/69113)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 4953937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -21. What is the remainder when (92\/(-14))\/(1\/b) is divided by (-2)\/4 + (-50)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8457774 a multiple of 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 472 + -364. Is 36 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 947 in -7, -4, 0.1, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 266499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:28 AM and 3:23 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -222978 divided by 42?\nAnswer: -5309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 190, 551, 1080, 1771, 2618, 3615?\n\"Answer: -v**3 + 90*v**2 + 98*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6 - (-11562)\/(-2100)) + 6\/21 and -67\/240.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) -1.3  (b) -1  (c) -15\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = y + 8. Suppose y*u + 3*u - 120 = 0. What are the prime factors of (1 - -1)\/(2\/u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5385, -21539, -48463, -86157, -134621?\nAnswer: -193855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 7. Let n be 1\/v - (-8)\/12. Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/192 and 4\/3?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, 274, 2, 0.4, -3\/38, -1\/2?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*s - 305 - 630 = 20*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z - 1. Let n(d) = -4*d + 6. Let v be ((-6)\/4)\/((-6)\/(-8)). Let k(i) = v*n(i) - 11*q(i). Differentiate k(h) wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30 + -27. Suppose 15 = -3*n, d = i*d - n - 2059. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.06?  (a) 0  (b) -26  (c) 617  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4237792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -22, -7, 6, 17, 26, 33?\n\"Answer: -x**2 + 18*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 88\/20 + (-33)\/(-55). Solve -u*h = 4*c + 17, -h + c + 6 = -4*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -5*t**3 - 3*t**2 + 30*t + 95. Let c be j(-5). Let b = -279 + c. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = 5*c - 7*c - 5*j, c = j - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1657*g - 83336 = -237*g for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*1\/(-5)*10\/(-12)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6892 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5237 - 4031 = -750*p - 743*p + 169*p for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 217450104 to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**2 + 29. Let c be w(6). Let i(f) = -3*f + 3. Let g be i(c). Solve -5*u - 2 = y - g, -3*u + 21 = -2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 + 0*r**3 + r**3)*(191974*r - 8 - 5 - 191982*r).\nAnswer: 8*r**4 + 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -2*h - 18. Let t be s(-10). Suppose -2*a + 5 = -5*c - t, -3*c + 21 = 3*a. Suppose -r - 2 = -a. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 225.98 minutes?\nAnswer: 13558.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 3 = 2*a. Let i = -426\/5 + 85. Let j = -2 + 3. What is the closest to j in 2, i, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16*b**6*u - 4*b**3*s - b**2*u - 2*b**2 - 2*b*s*u - 16 wrt b?\nAnswer: 1920*b**3*u - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -595226 at least as big as -595099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 2*v + 756, 2*v - 4*v - 3*d = 753. Let l = v + 639. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*u - 60*u = 115 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 11:53 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 19875031097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 7*x + 2*x**2 - 4*x + 4*x - 7 - 8. Calculate the remainder when 9 is divided by c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 2 + 3, -2*u = -c + 13. Let d(y) = y - 8. Let m be d(8). Suppose -c*q + 2*q + 6 = m. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 470\/12 + ((-17754)\/(-396) - 44)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1847d - 8c?\nAnswer: 183d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 680 = -8*f + 776 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(864)*-2*-6 + (sqrt(864) - 2*(sqrt(864) - 1*sqrt(864))))\/(sqrt(288)*-2 - (sqrt(200) + sqrt(200) + -3*sqrt(200))).\nAnswer: -78*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-81 + 61 - (19 - 0)) + 17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + 367a?\nAnswer: 367a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, m: 1}. What is prob of sequence dv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from jbbjbbccjjbjbucb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31610324.\nAnswer: 2, 7902581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 g, and 1 i when three letters picked without replacement from {f: 7, n: 2, h: 2, g: 4, i: 5}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/5 - 10\/(-25). Suppose -2*y + 1 = -l, 3*y + r*l + 2*l = 5. Is 1 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/((-9)\/(-3)) - (-14 - 264\/(-18)). Sort u, 3, -0.2, 0.5, -1\/121 in descending order.\nAnswer: 3, 0.5, -1\/121, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**4 - 525*c**2 + 2228*c.\nAnswer: -24*c**2 - 1050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 1:58 AM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 - 13*a**2 + 38*a - 23. Let x be v(9). Let g(t) = 54*t**3 - 2*t**2 + 1. Let r be g(1). Sort r, -1, x in ascending order.\nAnswer: x, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 4, 1\/6, 0.0046, -1892?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 18 = 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((0 + sqrt(162)*-1*4*-5 + 1)**2 + 2).\nAnswer: 1080*sqrt(2) + 194409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/8 and 47\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -28*o - 8. Let l be v(-12). Suppose 4*f - 4*u + 64 = 368, -4*f = 4*u - l. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.5 - -2. Let h = -688 + 1164. Let s = -481 + h. What is the third biggest value in a, -0.2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.19002 - 53\nAnswer: -53.19002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1212 + 950?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -302478.\nAnswer: -302478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(75) + -2 + sqrt(75) - sqrt(75))**2 - (sqrt(75)*-2 + 2)) + sqrt(2430)\/sqrt(10) + ((-3*sqrt(6))\/sqrt(2))**2.\nAnswer: -21*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3257219798.\nAnswer: 2, 7, 232658557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 34, 56, 78?\n\"Answer: 22*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 962373105?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00776954 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -0*g - 5*g. Suppose -5*q = 3*y - 35, -3*y - g + 0 = q. Let w(u) = 2*u**2 + 27*u - 17. Calculate the remainder when w(-15) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 284, 298, 312, 326, 340, 354?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + h + 2*h + 17, -4*h = 3*g - 19 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 493245?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.14 - 0.16. Let d = -0.26 - z. Let t = 1.76 - d. Sort t, -0.4, -5.\nAnswer: -5, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 43700\/11 + -43706\/11. Let h = 0.7 + -0.2. Which is the nearest to -1?  (a) f  (b) h  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (63\/(-6) + -4)*-6. Let i = -86 + q. Let g = 3.07 + -0.07. Sort i, -0.2, g in decreasing order.\nAnswer: g, i, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, m: 1, g: 2, x: 1}. Give prob of sequence gxmg.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -22.9 + 3.9. Let v = m - -19. Which is the smallest value?  (a) -0.1  (b) v  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b + b + 10 + 3*b.\nAnswer: -b + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 161 + 239 = 4*s. Suppose 0 = 4*m + 40 - s. Suppose 2*q + 4 - 214 = -2*d, -4*q - 2*d + 420 = 0. Calculate the highest common divisor of m and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 727 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -698*w + 3*b = -700*w + 4023, -2*w + 3*b + 3993 = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-2\/17)*z\/z**(-2))**27*z**(6\/5)\/z**2*z*z**(-3\/4)*z**(1\/3) assuming z is positive.\nAnswer: z**(79159\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*n, 0 = -4*t + 2*n + 3*n + 1. Let x be t*20\/234 + (-54)\/243. Is x <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, c: 9}. What is prob of sequence ac?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**2\/11 + 116*x\/11 - 118\/11 = 0.\nAnswer: -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 24203723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ntn when three letters picked without replacement from {n: 4, t: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2955 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 11, 97, 257, 503, 847, 1301?\n\"Answer: 2*p**3 + 25*p**2 - 3*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-20562)\/(-1043) - -2*10\/(-28)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 4*k + 4. Let i(p) = p + 6. Let b be i(-6). Suppose 4*w + 4 + 8 = b. Calculate c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44)\/(sqrt(33)\/sqrt(3)) - 4*(sqrt(4) - sqrt(100)))\/(-4*-1*sqrt(288) + 1*sqrt(288)*6).\nAnswer: 17*sqrt(2)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1695229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bqpxbbbqbqpdbbbbqqpb?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/(-3)*(-15988)\/8. Find the first derivative of 7992*u**2 - 12 + 4*u - c*u**2 - 23 wrt u.\nAnswer: -4*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.03, -8, -3, -4, -15\/52, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -3*x**3 - 100*x**2 - 789*x - 244. Calculate d(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2208048226?\nAnswer: 2, 29, 38069797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10668197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -133 + 151. Suppose -26 - 82 = -s*c. Solve -4*l - 4*b = -12, c + 0 = -3*b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1474191651 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 749541697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 689408?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = 5*n - 32, -20 = -n + 10*v - 14*v. Suppose 0 = n*a + 2*z + 46, 60 = -4*a - 4*z + 20. Let c(l) = -l**3 - 14*l**2 - 12*l + 9. Calculate c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -109*z + 27*z - 97*z - 827 + 6376 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**3 + 10*v**2 - 41*v + 9. Let q be l(13). Let t = q - 2125. What is t rounded to the nearest one hundred?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -12 + -272?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 660b - -9?\nAnswer: 6618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-7 - -1) + 96\/16. Solve -b + 4*p = -9, c = -5*b - 3*p - 1 - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 56920.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 12*f + 252 = 0. Let j be (1 - 0)*(-14 - -43). Let h = j - f. Which is smaller: h or 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 1 - (-4 - (-4 - -6)) - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13, 11, 61, 143, 263, 427, 641?\n\"Answer: y**3 + 7*y**2 - 4*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1616071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:02 AM and 3:46 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 876908004.\nAnswer: 2, 3, 7, 10439381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1111?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253862?\nAnswer: 2, 7, 18133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 1859*z**3 + 36915112*z**2 + 183257199975*z - 33320711250 = 0.\nAnswer: -129075\/13, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h + 163. Let d be c(0). Let o(x) = -9*x**2 + 13 - 2*x**2 - 5*x + 7 - 1 - d*x**3. Let m be o(-9). What is m rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - 27\/(-6))*3176*(-3)\/(-6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 1 + 0)*(25*y**2 + 8*y**2 + 15*y**2) + (y - 3*y + 4*y)*(y - 5*y + 2*y) - 1 + 2*y**2 + 1 + 0 + 3*y**2 + 0 in the form m*y + r*y**2 + o and give r.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g + 27. What is c(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 17 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1948, 7808, 17580, 31264?\nAnswer: 48860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 * -2.34\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m - 1. Let t(y) = y + 10. Calculate -t(s) - v(s).\nAnswer: -2*s - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.41 + -0.81. What is g rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-669)\/2*18\/(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*o**2*u*x - 21*o**2*u - 20*o**2*x**2 - 12*o**2 - 2*o*x**2 + 24*u*x**2 - 1 wrt u?\nAnswer: -5*o**2*x - 21*o**2 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -h + 90. What is the lowest common multiple of (16\/(-20))\/((-5)\/75) and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49369.3 - -173.29234\nAnswer: 49542.59234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + ((-2)\/(-9) - (-75)\/27). What is the least common multiple of 24 and 1 + (2\/3)\/(k\/9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8*p**4*t + 2*p**4 - 4*p**3 - 2*p**2*t - p**2 + 50*p*t wrt p?\nAnswer: 192*p*t + 48*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 63*t**4 - 8*t**3 - 9297 with respect to t.\nAnswer: 252*t**3 - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 PM and 12:09 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*m + 113 + 74 - 40 to a*m + n and give n.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1668 and 2476256088?\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -77  (b) 4  (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 22, 64, 140, 256, 418, 632, 904?\n\"Answer: j**3 + 11*j**2 + 2*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -3, 17, 47, 87, 137, 197?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 78547*b**4*z + 1154*b**3*z - 1130334*b*z - 123*b - z wrt b?\nAnswer: 942564*b**2*z + 6924*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together 72 and 7.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 392 and 16366?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/2*47472\/(-460). Let q = 260 - l. Find u such that 10\/9*u - 2\/9*u**q - 4\/3 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/6)\/((-1316)\/(-282)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23512 - 452?\nAnswer: -24264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/15 of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 2*x + 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48\/72*(-3)\/11.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 a factor of 99230840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-7\/3)*r)\/(r\/(r\/(r\/r**8))))\/(r*r**(-4))**(-49) assuming r is positive.\nAnswer: r**(-424\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1920691635.\nAnswer: 3, 5, 313, 577, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/6)\/((-234)\/(-1170))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46360805161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of 5*c**3\/2 - 2*c**2 + 2*c. What are the prime factors of m(10)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 2*t + 88 = 2*m, t = -2*m + 73. Calculate the remainder when m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/(sqrt(12)\/sqrt(3)) + 5*sqrt(7)*-1.\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**3 - 2*k**4 + k**4 - 8*k + 6*k + 4*k**3 in the form c*k**3 + r*k**4 + u*k + b*k**2 + q and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 + -0.5. Let l = -8.03 - -8. Let j = l + -0.47. Which is the closest to 1?  (a) j  (b) 3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 - k**2 - 5*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 171\/3586 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2602129142 to the power of 1\/3, to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - b - 12338 = 0, -n - 3*b + 5425 = 1299. List the prime factors of n.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 171237?\nAnswer: 3, 11, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 2*w - 8800006 = 4*l, 0 = -3*w + 9. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 6. Suppose o*q - q = 6. What are the prime factors of (-156)\/4*2\/q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 75 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7375 and 114047.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -12*r**2 + 23*r. Let f(g) = -41*g. Calculate t(f(z)).\nAnswer: -20172*z**2 - 943*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -1, -7842\/11, -9\/50?\nAnswer: -9\/50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -664, -670, -676?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -83 - -77. Which is the third biggest value?  (a) 0.4  (b) y  (c) 0.1  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from guuuquuuuquuuuuq.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqsqqqqx. Give prob of picking 1 s and 1 q.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-185523)\/6968 - 3\/(-60)*(-60)\/8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 52807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -0.1152.\nAnswer: -3.1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -682297005 by 45486467.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 341 or 1902220?\nAnswer: 1902220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 413981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 134300 and 10.\nAnswer: 134300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9008*j**4 + 106 - 380*j**3 + 149 - 8936*j**4 - 4*j**5 + 97 - 912*j + 872*j**2.\nAnswer: -4*(j - 11)*(j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -963403 by -963403.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20124 (base 5) to base 9.\nAnswer: -1682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**3 + 3*m**2 + 4*m + 2. Suppose 5*d - 4 = 11. Suppose d*z = q + 68, 11 = z - q + 3*q. Let i = z - 17. What is v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -3*j**5\/2 + 1893*j**4 - 601146*j**3 + 1374972*j**2 + 679566336*j + 1348793280 = 0.\nAnswer: -30, -2, 38, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -1*((1 - 1) + -473)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -y**8\/23520 + y**7\/4410 - y**6\/2520 + 13*y**4\/24 + 28*y**2. Let b(c) be the second derivative of k(c). Solve b(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, 56, -18, 36 in decreasing order.\nAnswer: 56, 36, 2, 1, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15627 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -86, -87, -62, -11, 66, 169, 298?\n\"Answer: 13*j**2 - 40*j - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 161*f + 94453 - 96546 = 0 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 804*f - 260*f + f**3 - 256*f - 288*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - 0 - -3 - 5 - 0. Let s be 0 - (106\/(-112) - -1). Which is greater: x or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -18 + 13 + 11 + l. Give v(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -26296955 and -26296954 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51005062.\nAnswer: 2, 379, 67289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -1362*w + 178425. Give n(131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -655, -1067, -989, -175, 1621, 4645, 9143, 15361?\n\"Answer: 41*c**3 - c**2 - 696*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50896 - 15676005\/308. Calculate the common denominator of m and 27\/35.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from asaaaaaaassaaa.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -284706, -284703, -284698, -284691, -284682?\nAnswer: -284671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 4*g - 19. Let x(w) = 5*w - 19. Suppose 2*o = -4*h + 4*o - 18, 2*h = 3*o - 11. Let a(t) = h*u(t) + 5*x(t). Does 17 divide a(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 253 is divided by 200.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*d + 13*d - 50*d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 740 a factor of 12153020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k, 1 z, and 1 b when four letters picked without replacement from {h: 3, v: 5, b: 5, z: 2, k: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - l - 4 = 10, 2*l - 2 = 0. Suppose 6 = o*p - 2*j + 562, 4*j + 120 = -p. Let w = p + 250. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d - 90. Calculate h(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - p - 1 = 0, 2*g + 3*p = -0*p - 3. Suppose g = -a + 4*r - 6, -2*a = -r + 5*r - 48. Calculate the greatest common factor of 35 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/5, 39, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + 1 + -17279 + (0 - 0). Round t to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, t: 4, y: 7}. What is prob of picking 2 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 4\/7  (c) -486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 192330*n**2 + 206167*n**2 + 20388*n**2.\nAnswer: 418885*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**2 - 3*j**3 - j + 44 - 43 + 3*j. Let f be a(-1). Solve -l - 5*u - 4 = 3*l, f*u = 5*l - 32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 5*x = -2*f + 30, 5 = -x. Is f greater than -4\/765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3 + 287*o**2 - 20448*o - 20736.\nAnswer: -(o - 144)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2979591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-79*u + 63*u - 154*u)*(3 - 5 + 3)*(-3 - 3 + 1 + (-1 + 0 + 3)*(6 - 3 - 1)).\nAnswer: 170*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -4 - 139*i**3 - 3*i**2 + 2 + 137*i**3 + 6*i**2. Let z be o(-1). Suppose -2*b + z*h = -168 + 45, b + h - 54 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 79 - -26. Let y = -164 + 90. Let m = y + i. List the prime factors of m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 92*k**2 - k. Calculate r(-1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26*529227.\nAnswer: -13759902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*u = 3*m - 8, 3*m - u = 19. Put -0.6, -4, m, 3 in decreasing order.\nAnswer: m, 3, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 836?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1040 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v. Suppose -4*d + 13 = -5*t, -2*t - 2*d + 0 = -2. Let b = t + 3. Let o(k) = 3*k**2 - k**2 - k**b. Give a(o(w)).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 80*u - 79*u. Suppose -u*x = -34*x + 904. List the prime factors of x.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.19 + 14131.\nAnswer: 14130.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 4*l**4 - 15724*l**3 + 234960*l**2 + 2000*l - 7832000 = 0.\nAnswer: -5, 10, 3916","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 - 2*o**2 + 1. Let r be g(1). Suppose r = 2*t + 3*t - 20. Let c(s) = 8*s + 136. Let p be c(-17). Solve -3*u = -t*m, 4*m - 5*u + 0*u = p for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 328 and 12874?\nAnswer: 51496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f - 21. Let d be w(-4). Let n = d - -27. What is the greatest common factor of 2 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-5)\/(-25) + (-58)\/(-10). Let d(h) be the second derivative of h**4\/12 - 7*h**3\/6 + 3*h**2\/2 - 62*h. Give d(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 287, 291, 295?\n\"Answer: 4*d + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 36479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.796517 to 3 decimal places.\nAnswer: 3.797","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100485, 100548, 100613, 100680, 100749, 100820, 100893?\nAnswer: 100968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -2.1, -2\/63, 0.18?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -66 in -0.02, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -706, -2832, -6384, -11368, -17790, -25656?\nAnswer: -34972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/sqrt(20) - sqrt(18)) + sqrt(90)\/(sqrt(10)\/sqrt(2)))\/(-2*sqrt(1296)*1).\nAnswer: -sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-14 + 24)\/((-2)\/(-46))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -152 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/107 and -101\/2.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - 6*b - 2*b)*((1 + 0 + 2)*(6 - 6 + 10*b) + (-2 + 2 + 1)*(0*b + 0*b + b)).\nAnswer: -155*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3.6, 1, 3\/7, -4\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 14*u + 8*u + u**4 + 7*u - 48*u to r*u**3 + x*u + n*u**4 + z*u**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*t + 11696 = -31*t. Calculate the lowest common multiple of t and 170.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000699321 to 6 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.22 plus -0.35743663?\nAnswer: -5.57743663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5233890?\nAnswer: 2, 3, 5, 59, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35 - 25 - (1 + (1 - 1 - 1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - -1010011101101111110110011?\nAnswer: 1010011101101111110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g = 4*u + g + 28, -8*g + 6*g = 0. Let m(k) = 2*k**2 + 11*k - 15. Calculate m(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 155\/(-20) + ((-81)\/(-12) - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -302, -33 in ascending order.\nAnswer: -302, -33, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 8*g. Let v(z) = -141991*z. What is m(v(n))?\nAnswer: -1135928*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.1 - -2.32. Let a = s - 0.372. Round a to two dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 86151385.\nAnswer: 5, 17230277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - (1 - 1\/2))\/((-39)\/(1287\/(-165)))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -14333 - -222?\nAnswer: -14111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 8126.961 seconds?\nAnswer: 8126961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2*2\/8)\/1)\/((-130)\/(-7540))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 7 - 1 = 0. Let f be i\/(-3) - (-4)\/6. Solve 2*r + 3*k + 4 = 0, -6 + 2 = f*r - 5*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s**2 + 5*s**2 + 3*s**2 + (3 + 0 - 2)*(0*s**2 + s**2 + s**2) + 9*s**2 + 49*s**2 - 12*s**2.\nAnswer: 54*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6\/7, 0.13, -3967\/11.\nAnswer: -3967\/11, 0.13, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, f: 3, z: 4, g: 1, v: 3, e: 1}. Give prob of picking 1 b and 1 v.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 15) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -566, -568, -568, -566?\n\"Answer: o**2 - 5*o - 562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5070.29g in micrograms?\nAnswer: 5070290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a + 19. Let s be j(-15). Suppose 0 = s*c - 4534 - 4798. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/4  (b) 0  (c) 4\/3  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*b - 53 + 863 = 0. Solve 1 = -j + 5*r, 2*j + 5*r = b*r + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 166.88 - 165.45. Is l greater than 6.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21199 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-4 + -1) - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:29 PM and 7:24 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 536.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1.52  (b) -191  (c) -12  (d) 57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -5*i + 10. Suppose -2*t = 1 - i. Let w be (-1)\/(-2)*4*t. Solve -2*j + 5*h + 7 = -1, 4*j - 16 = -w*h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(-14\/3)\/i)*i)\/i)\/(i*i**(1\/2)\/i*i*i))\/((i*i**(-24))\/(i*(i\/(i**(-6)\/i))\/i)) assuming i is positive.\nAnswer: i**(211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 not equal to 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 4*c - c. Let g(z) = z**2 + 2*z - 3. Let w be g(4). Suppose -5*a + 5*l = -2*a - w, -3*a = 3*l + 3. Solve -b + 2*s = 4, 4*b + c - a = 4*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7934 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k - 8. Let b be q(12). Suppose f - 14 = -2*l, -l - b*l + 4*f + 22 = 0. Suppose m = 21 - l. Solve 10*u + m = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m\/(m*m**(-3))*m)\/m*m)*m)\/m**(2\/17)*m*m*m*m\/((m**1\/m)\/m)*m*m*m*m**(1\/2)*(m\/(m\/((m**8\/m*m)\/m)*m)*m*m*m*m\/m**7)**29 assuming m is positive.\nAnswer: m**(3175\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ykjkykpjykkk. What is prob of picking 1 y and 1 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-24)*((-160)\/(-50) - (-2)\/(-10))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 15*t - 12. Suppose 9*s - 3*s - 120 = 0. Suppose -23*k = -21*k - s. What are the prime factors of z(k)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p - 15 + 21. Sort p, 3, 4 in decreasing order.\nAnswer: 4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/7?  (a) 2  (b) 7  (c) 4\/3  (d) -4  (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 32, 57, 3, -4, -12 in descending order.\nAnswer: 57, 32, 3, -4, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 604212 and 2.\nAnswer: 1208424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 276 and 12?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9689.\nAnswer: 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -39 + 18 + -7 + -14 + 10\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19.9524 - 20. Round l to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 925763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2973*y**5 - 39*y**4 + 2*y**3 - 35*y + 9144 wrt y.\nAnswer: 59460*y**3 - 468*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8491415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**2\/5 + 253348*k\/5 + 760026\/5.\nAnswer: 2*(k + 3)*(k + 126671)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33615 and 44820?\nAnswer: 134460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 - (12 + 1) - 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**3 + x**2 + x + 19. What is the units digit of r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/(-1)*(1 - 4). Suppose l = -2*u + d, 0 = 3*l + 4*u - 77 + 32. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60188 is divided by 20057.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 * 167\nAnswer: 200.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -3*q**3 - 43*q**2 - 4*q + 31. Calculate d(-13).\nAnswer: -593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (2 + 3)) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 10*g**2 + 4*g + 1. Let x(s) = -s**2 - s. Let z = 1193 - 1192. Calculate z*y(o) + 4*x(o).\nAnswer: 6*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g**4 + 69 + g**3 + 68 + 76 - 210 - 53*g**2 to h*g**3 + c + y*g + l*g**4 + z*g**2 and give z.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*-3*(-1)\/9 - -12. Suppose z*b - 12 = 10*b. Suppose -b*t = -9*t + 3183. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-1))\/((8\/2)\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*k = 25*k. Let y(l) = 4*l + 288. Let i be y(k). Suppose -2*s = -o - 194, s = -2*s + 3*o + i. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -11*o. Let z(h) be the third derivative of h**4\/12 + 35*h**2. Calculate k(z(c)).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 289038676.\nAnswer: 2, 857, 84317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 203786.\nAnswer: 2, 11, 59, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((1*(sqrt(500)*-1 - sqrt(500))*4 + 1)*-1)**2.\nAnswer: -160*sqrt(5) + 32001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 2*f**2 - 4 + (-3*f + 7*f - 2*f)*(2357*f - 19 - 4733*f + 2333*f).\nAnswer: -88*f**2 - 38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11642*a**2 + 26347*a**2 - 14692*a**2 - 2*a + 2*a.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 18*i = 960. What is the lowest common multiple of i and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = 4*i + 653 - 2785, -533 = -i - t. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*615\/164*(40\/(-6))\/4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1782 and (4 + -9 - 10)\/((3\/3)\/(-108)).\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -4*n - 16, 0 = 5*t - 3*n + 5*n - 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/360*(0 + 151054). Let x = k - 7640\/9. Find the common denominator of x and 903\/280*-2 - (0 + -2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, j: 7, m: 3}. Give prob of picking 1 m and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) 4  (c) 0.26  (d) 0.5  (e) 12  (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -325*v**4\/12 + 8*v - 43. Let y(m) = m. What is y(t(q))?\nAnswer: -325*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x = -63 + 36 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2291 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 6 - 4 = 0. Suppose 10 - 1 = o. Let f = o + n. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -47 - -170?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 0. Let p(h) = -4*h**3 - 2*h**2 + 1. Let g be p(k). Let d be 4\/(-6) + (-10)\/g. Sort d, 0, -5 in increasing order.\nAnswer: -5, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1071)\/(-15) - (-12)\/20. Suppose -t = -15*b - 42. Suppose 2 = g + p, -2*g + p = 2*p - 6. Sort -4, b, g.\nAnswer: -4, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*n**3 - 38*n**2 + 38*n**2.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 837 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 3)*2\/22. Let n = 1104247\/55 - 20078. Let s = n - f. Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z, -4*b + 10*z + 183 = 187 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = 6*t + 1. Sort t, -1, 2, 12 in decreasing order.\nAnswer: 12, 2, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.6 and -810\/19469 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73693 divided by 45.\nAnswer: 73693\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dghoi. Give prob of sequence idg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 18*z - 2*z**2 - 18*z + 1 + 2*z**2 - 1 + (3*z + 3*z - 3*z)*(0*z - 2*z - z) + (1 + 7 + 6)*(0*z**2 + z**2 + 4*z**2).\nAnswer: 61*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + 40. Suppose j = -5*b + 322. Let r = b - 33. Calculate the greatest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 1294640.\nAnswer: 3883920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4966 - 5006) + 72 + (6 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54028 + 57892 = 12*c. Calculate the greatest common factor of c and 1817.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10.57?  (a) 2  (b) -0.3  (c) -1\/3182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -7546, -54487, -181912, -430063, -839182, -1449511, -2301292?\n\"Answer: -6707*h**3 + 8*h - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**3 + 21*d - 4*d**2 + 2*d**2 - 20*d in the form i*d**3 + r + w*d**2 + h*d and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -105\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.463 and 11011.\nAnswer: 5098.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lccxjjcxjqjlqc. What is prob of picking 2 q, 1 j, and 1 x?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7314520 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 34093 - 131067\/4. Let s = n + -1347. Find the common denominator of ((-13)\/(-24))\/(4\/6) and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 - 4*n**2 + 3*n + 2. What are the prime factors of j(9)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7379.85 millennia to centuries.\nAnswer: 73798.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 260 + -260. Suppose 7*h - 8*h + 5317 = x. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2\/7 + 59187*w\/7 - 59184\/7.\nAnswer: -3*(w - 19728)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide (1 + 0 + 1)*(387 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-13)\/(-5) + ((-432)\/60)\/12. Let h(f) be the first derivative of 0*f - 1\/2*f**x + 4. Let d(c) = -13*c**2. Calculate h(d(a)).\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0961232 and 5?\nAnswer: 0.480616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 506 by -35.\nAnswer: -506\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 s, 1 y, and 1 n when four letters picked without replacement from snyssdyssy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (126\/(-9))\/(12\/24)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 7:01 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 18*o + 2149 + 7*o - 2112. Give v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - 6. Let n be 41 + -4 + w + 0. Let x = n - 17. What is the lowest common multiple of 1 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -2*a - 6. Suppose a*b = -l + 9, -5*b + 8 = 2*l - 13. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 2*f - 20. Let i be w(10). Suppose 2*d - 5*c + 2*c - 53 = i, -5*c - 80 = -3*d. Is 2 + (-7606)\/(-10) + 10\/d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 + 887*f**2 - 188302*f - 6329. What is u(352)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 157633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 15 = y - 3*g, 0 = y + 4*g - 7. What is the units digit of 5\/((-1)\/((-24)\/y))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 8*z**2 + 67*z - 323. Let c be l(6). Sort -5, -6, c in decreasing order.\nAnswer: c, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 4 = -m, -m - d + 2*d = -2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5.1618 and 669356.\nAnswer: 669350.8382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand c - 2*c - 2*c + (-c - c + 0*c)*(-1 - 1 - 2) - 2*c + 2 - 2 + (0 + 0 - 2)*(19*c - 13*c + 18*c) + 4*c + 10*c - 18*c.\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + 2 + -1 + 2 + 33 + -27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.5 - 3. Let d = 0.2 + -0.6. Let n = -5.0959 + 0.0959. Sort n, d, r in increasing order.\nAnswer: n, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10010111 (base 4) in base 11?\nAnswer: 11577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3002, 6039, 9088, 12155, 15246?\n\"Answer: v**3 + 3030*v - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/7  (b) -0.03  (c) -2\/37359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of j**4\/4 + 4*j**3\/3 + 5*j**2\/2 + 2*j + 7. Factor m(x).\nAnswer: (x + 1)**2*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005274 rounded to five decimal places?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 - s**3 + s**4)*(97*s - 639 + 639).\nAnswer: 97*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5\/28 - 3\/28. Let z = -2.1 - -0.1. Let a = z + 2. What is the nearest to 0 in a, l, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**3 - 15*s**2 - s - 14. Let t be c(-15). Let r = t + 8. Let p = 20 - r. What is the highest common factor of p and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) -4  (c) -1.7  (d) -2\/7  (e) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 154885743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.503 take away 4?\nAnswer: -6.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*u - 2631*u = 282*u - 52904 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 + -43. Let z(r) = -r**2 - 13*r - j*r + 32*r. Determine z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/5, -0.3, -5, -3.3, 1\/3, 0.07, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, -1991, 3.\nAnswer: -1991, -32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 - -33. Let l = i - 9.81. Let g = l - -0.01. Sort g, 0, 5.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-60)\/21 - -2) + 1 + -1. Put v, 1\/2, 5 in decreasing order.\nAnswer: 5, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -703\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -11929 (base 11) in base 7?\nAnswer: -100555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -13, -22, -45, -88, -157, -258?\n\"Answer: -u**3 - u**2 + u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.2014545 minus 881.577?\nAnswer: -882.7784545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.8 - 1. Let o be 4\/2 - 450\/213. Let j = o + -370\/497. Which is the closest to -1?  (a) l  (b) -1  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-15)\/5 - 3) + 9. Let y(k) = -16*k + 5 - 10 + 15*k**2 + 10 + 3*k**3 + 16*k. Let m(c) = -2*c**3 - 8*c**2 - 3. Calculate r*y(t) + 5*m(t).\nAnswer: -t**3 + 5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**2 - 3*f**2 + 2*f**2)*(2*f**2 - 2 + 2) + 0*f**2 + 0*f**2 - 2*f**4 + 3*f**4 - 9*f + 9*f + (3*f**2 - 3*f**2 + f**2)*(14*f**2 - 4*f**2 - 29*f**2).\nAnswer: -14*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 7*q**2 - 8*q + 1. Let h(v) = 2*v - 18. Let o be 16 - 0 - (21 + -18). Let x be h(o). Give f(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 - 12 + 10 - 4)*(85*z**4 - 128*z - 108*z - 86*z**4) to y*z + o*z**4 + c*z**3 + f + l*z**2 and give y.\nAnswer: 2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 - -1.1. Let l(o) = -111*o - 334. Let c be l(-3). What is the second smallest value in c, h, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 25*v**2 - 186 + 186 + (5*v**2 - 3*v**2 + v**2)*(3 + 4 - 5).\nAnswer: 31*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4365 and 24.\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/73359 and -5\/5358?\nAnswer: 6895746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 943 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -87, 0, 3, -90 in ascending order.\nAnswer: -90, -87, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 237747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -3*s**3 - 1 + 4*s**3 + s - 4*s + 2 - s**2. Let p be 114\/42 + 2\/7. What is the units digit of g(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.435 - -0.135. Which is the nearest to f?  (a) -2\/31  (b) 2\/11  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7264392*m - 7476691 wrt m.\nAnswer: 7264392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/9 - -139\/180. What is the common denominator of m and -69\/70?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 + 676?\nAnswer: 679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of -j**9\/1008 - j**7\/120 - 5*j**4\/6 - 6*j. Let i(n) be the third derivative of v(n). Find the third derivative of i(z) wrt z.\nAnswer: -360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 5*o**5 + 55*o**4 + 50*o**3 = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 163.3552 + -0.3552. Which is the smallest value?  (a) i  (b) -2\/7  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/12924*(-557242)\/46. Let h = 7\/2154 + z. Let p = h - -286\/23. What is the common denominator of 23\/16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**7\/840 + o**6\/360 + o**5\/120 - o**4\/24 + o**3\/3 + 1. Let a(c) be the third derivative of h(c). Give a(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*q - 8. Let t(w) = -2*w**2 - 11*w. Let c(m) = -m**2 - 5*m. Let i be 3\/2*76\/6. Let h = -10 + i. Determine h*c(f) + q*t(f).\nAnswer: -f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*u + 3 - 3. What is the remainder when 46 is divided by u + (-5)\/25 - (-212)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 98*t + 98*t - 115*t**2.\nAnswer: -115*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(4 + sqrt(2) + (sqrt(16)\/sqrt(8) - sqrt(2)) + 1*(sqrt(2) + sqrt(20)\/sqrt(10)) - (-2*sqrt(4)\/(sqrt(8)\/sqrt(4)) + -2))**2.\nAnswer: 240*sqrt(2) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -91*d - 2. Let x(b) = 151581*b. What is x(o(r))?\nAnswer: -13793871*r - 303162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/((-24)\/18 + 3). Suppose -8*d = 4*h - 3*d - 33, h - u*d = 21. Solve t - 18 - 2 = -4*i, h = 3*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92832898 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**2 + 5*k - 12. What is v(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**13*j**(-10\/13)*(j\/j**(1\/3))**(-14) assuming j is positive.\nAnswer: j**(113\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5983, 5985, 5989, 5995?\nAnswer: 6003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262 + 13 + -7 + -7 is divided by 42?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -336744341 from -422.768.\nAnswer: 336743918.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 278670 is divided by 14532?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 19560, 21, -2, -3, 10, -5 in decreasing order.\nAnswer: 19560, 21, 10, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from xaaajjajxjajxax?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 324651.\nAnswer: 1623255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -2*k - 40. Let i be v(-21). Suppose i = x + 5*u, 0 = -5*x + 3*u - 3 + 13. Suppose 2*r + 156 = 4*h - 2*r, -3*r - 73 = -x*h. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 4*s + 208, -k - 4*s - 20 + 204 = 0. Calculate the lowest common multiple of 49 and k.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 i when four letters picked without replacement from qlqiiipiilui.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, m: 9, t: 1}. Give prob of picking 1 h, 1 t, and 2 m.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - w = -6*w - 9, -5*n - w = -7. Let g(t) be the first derivative of t**4\/2 - 2*t**3\/3 - t**2 + 3*t + 1056. Calculate g(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3034 divided by 41.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2 and 98343629.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/12)\/((-9)\/12). What is the nearest to n in 5, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -94 - -159. Let m(v) = -v**2 + v**3 + c*v + 68*v - 134*v. What is m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 9*t - 10*t**2 + 13*t**2 - 20 - t. Let r(o) = -2*o**2 - 5*o + 13. Let v(y) = -5*i(y) - 8*r(y). Let v(q) = 0. What is q?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17.1 - 897.\nAnswer: -914.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + -2)\/(28 - 27). Suppose -44*k + 37 + 95 = a. Solve k*j - j - 3*d = -17, -2*d + 9 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 0 - 3 - 302*n**2 + 304*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/288 and -37\/38160.\nAnswer: 76320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/(s**(14\/3)*s)*s**11 assuming s is positive.\nAnswer: s**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -2.6, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-8)\/6*54\/132. Let j = 3879 + -3879. What is the nearest to j in y, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 divided by -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 179, 66, -233, -808, -1749?\n\"Answer: -15*z**3 - 3*z**2 + z + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 256665 and 781.\nAnswer: 2823315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 198\/(-43230)*-131 - (-29)\/35\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5340 and 1293036?\nAnswer: 575401020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.2 times -5.3?\nAnswer: -16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9 and (-1 + -1 - -3)\/(9\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/4)\/p**(2\/15)*p**2*p**(2\/13))\/((p**(2\/3))**26)**(-3\/10) assuming p is positive.\nAnswer: p**(5437\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 449511 greater than 449852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -40*(3 + -4)\/(1 + (-6)\/8). Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 236 = 2*a, 7*d = 2*d - 5*a + 215. Calculate the remainder when d is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22106 - 21786. Calculate the remainder when r is divided by 58.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -5\/11, -2.03, -1\/3, -1\/4, -9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 59961294 and 19987098.\nAnswer: 59961294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of -17*b**3\/3 - 41*b**2\/2 - 29. What is the second derivative of j(l) wrt l?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-2*sqrt(216))\/(2*1*sqrt(648)) + 2.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.3419766mm?\nAnswer: 0.03419766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -106 + 108. Let p be (-1)\/(t\/10)*9\/(-5). Let y be 36\/10 + p\/(-15). Solve y*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 25*f**2 + f**3 - 5*f**2 - 17*f**2 - 6*f - 7. Let p be x(-4). Let a(j) = -2*j**3 + 2*j - 1. Determine a(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.4  (b) 0.5  (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-168)\/(-24)*2\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17435707 is divided by 112.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25569402, -25569401, -25569400, -25569399?\nAnswer: -25569398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**19*r**30)\/((r*r**(2\/3))\/((r\/r**(20\/7))\/r)) assuming r is positive.\nAnswer: r**(934\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nfptp. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 57, 53, 53, 57, 65?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -153.89 - -154. Which is the third smallest value?  (a) -4  (b) f  (c) -1  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -8876870\nAnswer: 17753740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -72*d + 75*d - 21. Let h(z) = -d*z**2 - 12877 + 12877. Let j(i) = 12*i. Calculate j(h(f)).\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 484252022 to the power of 1\/2, to the nearest integer?\nAnswer: 22006","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -4 + 1\/2*g**2 + 4*g. Let d be p(0). Solve -5*l = 4*k - 6, 5*k - d = -2*l + 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -22*a + 23*a + 288, 5*s + 2*a = -291. Suppose o - 55 = b, 0 = 5*b + 2*o - 20 + 260. Let c = b - s. Solve 2*r - 3 = -c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8324 - 8325. What is the nearest to c in -2, -0.1, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -97 + 0 - (225 - (-349 - -585))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4373716*5\nAnswer: 21868580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 714918 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 182 + -116. Suppose 3*z = -2*z + 115. What is the remainder when p is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(1\/5)\/(o**(-2)*o*o)*o\/(o**16\/o)*o*o*o**(-8) assuming o is positive.\nAnswer: o**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -172 + 242. Let k(o) = -387*o + 118984. Let w be k(307). Calculate the highest common divisor of v and w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (45\/18)\/(525\/(-980)*3\/(-18)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -456, 3, -5, -8, 0 in ascending order.\nAnswer: -456, -8, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 80 divide 779913326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from {x: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -132 + 186. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24067*-29283.\nAnswer: -704753961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 837, 839, 841, 843, 845, 847?\n\"Answer: 2*t + 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -95, -380, -847, -1490, -2303?\nAnswer: -3280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z - 180. Let q be d(-46). Sort q, 5, 1, -2 in decreasing order.\nAnswer: 5, q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0*(9\/(-3) - -4))\/(-1). Suppose 240 = 5*z - v*z. Let w = -3 + z. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 + 34.000033. Round w to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j\/(j**(-1\/9)*j)*j)*j)*j)**(2\/91)*(j\/j**43)\/((j*((j*j**21*j)\/j)\/j*j)\/j) assuming j is positive.\nAnswer: j**(-52396\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 1. Let v(d) = -2*d - 5. Let n = -61 + 60. Give n*v(p) - 2*g(p).\nAnswer: 2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19629161.000385 - 19628971. Let s = h - 190. What is s rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*i + 4 = 33*i. Suppose 734 = i*o + 46. What are the prime factors of o?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.04 and -65792438.\nAnswer: -65792437.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (82 - (-16080)\/(-100)) + (-76)\/(-20)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 224\/15 + -73\/5. Suppose -2*j + 6*j = -16. What is the closest to 0 in p, 1, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -53, 1\/3, 0, -2, 0.06, 8\/5 in decreasing order.\nAnswer: 8\/5, 1\/3, 0.06, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 593624*r + 48. Let n(l) = 2*l. Determine i(n(d)).\nAnswer: 1187248*d + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -12267024 divided by 48?\nAnswer: -255563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 + -764. Let y = 1156 + q. Calculate the greatest common divisor of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10281571 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**20\/j*j*j**(2\/17)*(j**(2\/43))**19)**(6\/11) assuming j is positive.\nAnswer: j**(92112\/8041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-250)\/150*(-63)\/5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = 15*c - 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(102) - (sqrt(102)*-1 - sqrt(102)))*-1*-4)\/(5*(sqrt(60) + sqrt(240) + (sqrt(240)*-2 - sqrt(240)))\/sqrt(10)) + -4.\nAnswer: -16*sqrt(17)\/5 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -3*h + 1380, -111*f = -4*h - 115*f + 1896. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24 - 1 - 5)*(-2 - 2*q + 2)*(2*q + 2*q - q)*(q**3 - 3*q**3 + 3*q**3).\nAnswer: -108*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*d - 2570 = -5*a, -1550 = -3*a - 5*d. Let c be (-374)\/a - (-4)\/10. Let w = -0.3 + 0.7. Sort -0.37, w, c.\nAnswer: -0.37, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i - 4 = 12*i. Suppose r + 2*r - b = 12, -2*b - 21 = -5*r. What is the third derivative of -l**r - 9*l + 9*l - i*l**2 wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2613?\nAnswer: 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of 1\/120*d**6 + 0 - 1\/1050*d**7 + 7*d**2 - 3\/100*d**5 + 7\/120*d**4 - 1\/15*d**3 + 0*d. Let p(k) = 0. What is k?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104.4114287 rounded to 2 decimal places?\nAnswer: 104.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -12366, -0.1, -2\/11, 5 in decreasing order.\nAnswer: 5, -0.1, -2\/11, -12366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 50277015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3*(3*(1*sqrt(77) - sqrt(77))*4)\/(5*sqrt(704)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(7)*2*-2)**2 - (sqrt(567) + 0)**2) + -1*(sqrt(567) + sqrt(567)*2)**2.\nAnswer: -5562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -1002688, 18 in decreasing order.\nAnswer: 18, 0, -4, -1002688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v**2\/7 - 318957*v\/7 - 7018506\/7 = 0. What is v?\nAnswer: -22, 106341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 2*k - 14, -3*u + 3*k = -21 - 30. Suppose -u = 5*h - 56. Calculate the remainder when 62 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/108)\/(640\/480). Let h(o) = 0*o**2 + 5 + 3*o**2 - 4*o**2 - 4*o. Let n be h(-5). Is n greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 283 + -183. Calculate the greatest common divisor of 60 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6 - 0.9. Let z = -353\/99 + 38\/11. Which is the biggest value?  (a) t  (b) z  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4845 + -4811.112. Let m = 34 - p. What is m rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -737.89 + 734. Let s = 10.11 - z. What is the smallest value in 3, -0.5, s, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 PM and 2:32 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 663*n - 666*n = 11, 4*n + 13 = y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 30948 - -76?\nAnswer: 30a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (x + 0*x - 2*x)*(-x - 3*x + 2*x) - 1 + 2*x**2 + 1 + (-2*x + 5*x + 0*x)*(-5 + 1 + 5)*(80*x - 6*x - 30*x) as a + t*x + k*x**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 341.5256 millimeters?\nAnswer: 34.15256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 5*x + 16, -3*x = 2*v - 22. Suppose -2*z - z - 3 = 0. Let f = v + z. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4515 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 221 = 4*p + v, 6*v = -4*p + v + 241. Suppose z + 50 = p. Suppose h - z = -0*h, -3*s = -3*h - 4401. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -77624, -155328, -233014, -310670, -388284, -465844, -543338, -620754?\n\"Answer: 2*r**3 - 3*r**2 - 77709*r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1.2, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 1 - 11 = 0. What is the second derivative of 51*q**3 - 5*q - 51*q**3 + 6*q**z wrt q?\nAnswer: 72*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1032 (base 9) to base 3\nAnswer: -1001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 l, and 1 r when three letters picked without replacement from {j: 2, l: 3, c: 1, r: 4, o: 2, x: 6}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2662212*m*v**2*w + 6*m*v**2 + m*v - 184*m + 29*v**2 wrt w.\nAnswer: 2662212*m*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 707*n - 706*n, -2*u = -n - 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.1  (b) -2164\/9  (c) 8  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1976 - 1973. Which is smaller: c or 239?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 74*s**2 - 25*s + 37. Is p(9) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -132, -51, 5, 1, -3, -1 in decreasing order.\nAnswer: 5, 1, -1, -2, -3, -51, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 147109499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -266 + 266. Let l(d) be the first derivative of z*d + 0*d**2 - 6 + 1\/3*d**3. Let p(f) = f. Give l(p(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-2) - 4) + 2. Let j be ((-9)\/(-2))\/(o\/(-6)). Suppose -j = -3*p + 2*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 264\/330 + -4 + (1 - -2 - 147\/(-1085)).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -126.\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-18))\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (39 - 36 - s + 6*s)*(-27*s**2 - 49*s + 49*s).\nAnswer: -135*s**3 - 81*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u = -5*u - 5. Solve -3*i - u - 23 = 3*m, -5*m = 4*i + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 0*b - 220 = q, 0 = 2*b - 4*q - 214. Let i = b - 57. Suppose 4*c = c + i. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2892 - 1161 = -7*g. Let x = 1106 - g. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 339174875.\nAnswer: 5, 13, 31, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*o + 3*d - 4*d - 11, -20 = -5*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27 and 1215?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 114318*b + 87 + 133032*b - 62387*b + 174570*b.\nAnswer: 359533*b + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*z - 5*z - 50 = 0. Suppose -l - z = -o - 2*l, -l = -3*o + 46. Sort 0, -4, o.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1 - 2) + 4 - ((19 - 55) + -4)) + 8.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 436058?\nAnswer: 2, 7, 31147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-66)\/8)\/(495\/88). Let l = j + -107\/60. Find the common denominator of -69\/388 and l.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 2*t**2 + 7*t - 36. Give p(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a*m**3 - 4550*a*m**2 + 4008*m**3 with respect to a.\nAnswer: -2*m**3 - 4550*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 138 and 16042178.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -2*u + 3*b, -5*b + 42 - 15 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1021222100220021 (base 3) to base 2\nAnswer: 1000110111010000101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116 and 131602?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 15640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 1. Let j be z(5). Suppose -w = -4*w + 2*m - 2, 2*w = 2*m. Let l = -5 - -8. Put w, j, l in increasing order.\nAnswer: w, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 + 0 + (108 - 95))*5\/(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 3b + -318?\nAnswer: -2aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54 = -5*g - 7*p, -g - p + 17 - 7 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -122.668 - -123. Let c = 370.632 - x. What is c rounded to the nearest 10?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/3  (b) -2\/9  (c) 0  (d) -8.458  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 3*t + 80. Suppose 0 = -3*y, y - 20 = -4*h - 4*y. Suppose t = -f + h*f. Solve g + f*m = 13, 5*g - 11 = -2*m - 0*m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12, 24, 48, 90, 156, 252, 384, 558?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 96 + -152. Let c be 2\/8 - (-30)\/h. Let j = 0.051 + 0.349. Put -1\/2, -1\/3, c, j in descending order.\nAnswer: j, c, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*l = -92 + 35. What is the biggest value in l, 0.5, 4, -0.08, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*n - 3 + 24, 4*i = -2*n + 24. Calculate the highest common factor of 15 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*p + n, 0*p + 4*p - n = 9. Let g(q) = -q**3 + 4*q**2 + q - 2. Let y be g(4). Factor -2*i**3 + 0*i**3 - p*i**y + 0*i**3.\nAnswer: -2*i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11443820 to the nearest integer?\nAnswer: 3383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 12 = -2*l. Let f(n) = -2*n**3 + 2 + n**l - 7. Let m(b) = -2*b**3 - 11. Suppose 2*u + 3*u - 24 = 3*s, -18 = -2*u - 3*s. Give u*m(z) - 13*f(z).\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 9*w**2 + 10*w - 12. Let d be f(8). Suppose -3 = 2*l + l - 3*r, r = -l - 5. Let s = 2 - l. Solve -o = -m - s, o + d*o = 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.207 + 1.623. Let n = 0.17 + z. Let o = n - -0.1. Round o to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/24)\/((-68)\/(-544)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s - 6*z + 39 = 0, -3*s + 41*z - 11*z = 13*z + 16*z + 19 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 195 = -2*b - b + 3*u, b + 60 = -4*u. Let g = b + 40. Calculate the common denominator of (-1 + g)*1\/(-7) and -85\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 + -52. Let v be (a\/12)\/(6\/117). Let o = -20 - v. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -537, -526, -515, -504, -493?\n\"Answer: 11*u - 548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -4*o + 2*l - 6, 2*l = -2*o. Suppose 2*m - 4 = m. Solve 5*c - 3*c = -m*y - 6, -o*y = -c + 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(-45)*(-10)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 1\/6  (b) 14  (c) -94  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = u - 20. Let c(l) = 127*l**2 - 5*l + 1. Is c(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15141336047643600 - -76569736693139404276\/5057. Let h = -59364390 + i. Let b = 1\/389 - h. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 12, -4, -22, -36, -40, -28, 6?\n\"Answer: w**3 - 7*w**2 - 2*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in -1.25, 3358, 3?\nAnswer: -1.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91403760 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 82794037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/(o*o*o**(1\/2))))**(-41)\/(o**(2\/7))**(-23))\/((o*((o**2*o)\/o)\/o)\/o**(4\/3)*o**(-5)*o*o**(3\/8)) assuming o is positive.\nAnswer: o**(-8731\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 AM and 9:20 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26255609?\nAnswer: 26255609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(((-479)\/(-479))\/(((-60)\/28)\/(-5)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*y + 10 = 15*y. Suppose y = 2*m, a + 84 = 5*a - 4*m. What is the greatest common factor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 14*k + 103. Suppose 5*q - 6 = 3*z, -18*z + 5*q = -14*z + 13. Let o be r(z). Which is the fourth smallest value?  (a) 4\/7  (b) 0  (c) o  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*m**2 - 3843715 - 3843696 + 7687374.\nAnswer: -25*m**2 - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 2:58 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 8*d - 2. Let r be z(-10). Suppose -3*l = 12 + r. Let p be (1340\/(-2))\/(1\/l). Round p to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -290 + 291. Solve g = -0*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(45)\/(2*sqrt(441) - sqrt(441)).\nAnswer: -4 + sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 625926927?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/7940 and 65\/8734?\nAnswer: 87340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1844 + 289 = 138*n + 477 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*g - 154 + 169 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.6  (b) -1\/2  (c) -2\/9  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -798 * -23007\nAnswer: 18359586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out 97991.35796 + -37.\nAnswer: 97954.35796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 256*k - 456 = 254*k. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14684414*l**2 + 3*l**3 + 14684414*l**2.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-10)\/4)*(-2304)\/(-5760).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*l**2 - 68*l**2 - 270*l**2 - 23*l**2.\nAnswer: -395*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 64, 67, 70, 73?\n\"Answer: 3*k + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 7 = y - 8, -4*d + 12*y + 108 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.13?  (a) -2  (b) 5  (c) 1824  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 497, 510, 541, 596, 681?\nAnswer: 802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 + 80*g**2 - 7025*g - 560169. Give u(-78).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p - 245857 = 220679. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 139135718921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -280232*l + 15 = -280229*l - 2*g, -6*l = -2*l + 3*g - 20 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a year in months?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 2\/39  (c) 3.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -5. Let p = -0.5 + 4.5. Which is the second smallest value?  (a) p  (b) x  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**8\/48 - 7*l**6\/20 + 199*l**4\/3 + 2*l**2 - l + 1608. Find the second derivative of p(k) wrt k.\nAnswer: -140*k**3 - 252*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-360)\/252 + (-4)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2039\/40 <= -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 968 + -45491\/47. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 divided by -118?\nAnswer: -265\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 + 8. Suppose -q + 23 = 4*m, 3*q - 4*q = -w. What is the third derivative of 5*v**5 - 2*v**m - 3*v**2 - v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 3*l**2 + 5*l + 3. Suppose -32 = 4*r - 5*d, -5*d + 0*d = -r - 23. Let k be p(r). Let g = 17 - k. Solve 2*h = -0*m - g*m + 14, -2*h = -5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3 = -3*c - 6*d, -2 = -2*c - d. Let r = -2509\/8 + 314. Let f = -2\/623 - -1272\/8099. What is the closest to c in r, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5657*h + 5658*h = 2*a + 9, 0 = 3*a + 5*h - 84 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -172895*t**2 + 19*t + 107. Let j be k(-6). Let m = 4336227 + j. What is m rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 5*v**3 + 4*v**2 - 4*v**3 + v**2. Let l(t) = -2*t + 3. Let w be l(4). Give y(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/1 + 2 + 2. Suppose -5*c = 5, -k - 9 = 3*c - 2*c. Is 22 a factor of (-47)\/f + (k - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*t**4 - 137644*t**3 - 7114052*t**2 + 6046924*t + 1204796 = 0.\nAnswer: -5683, -53, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*s - 43*s + 21 = 0. Suppose -2*j + o + 472 = 0, -o + 14 - 723 = -s*j. 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 f(s) = -5301*s - 559. What is the thousands digit of f(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16998, -17003, -16926, -16725, -16358, -15783, -14958?\nAnswer: -13841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1736*h - 73700 - 11364 for h.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - (19 + (-10676)\/306)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48264?\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -80. Let q = -67 - y. Let t be 7 + (q*-2)\/4. Is t > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 15*a**2 + 2*a + 14. Let b be u(14). Let w be b\/(-33) + 2\/(-3). Suppose -5*v = 3*p - 30, w*p - 3*p = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, v: 1, s: 5, o: 2, u: 1}. What is prob of sequence qs?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (-1 - (25 - 12)) + 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -14317*-12880\nAnswer: 184402960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4 - 212*j**3 + 1416*j**2 - 2988*j + 1782 = 0. What is j?\nAnswer: 1, 3, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15223\/24 + 1937\/3. Find the common denominator of i and -9\/281.\nAnswer: 2248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 790268*t - 865292*t - 1902370*t.\nAnswer: -1977394*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3.673 * -10.\nAnswer: -36.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 27 = -l - 2*k, -16 = -4*l - 4*k. Suppose 2*q = 4*f + 24, l*f = f - 12. What is the remainder when 16 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 13) in base 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6605968 and 287216?\nAnswer: 6605968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Find p such that -14*p**2 + 282*p - 40 = 0.\nAnswer: 1\/7, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1334757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 60. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i + 5 + i - 5. Let l(j) = 10*j**2 + 11*j + 11. Let y be 8*-5 + (6 - 10). Let b(v) = v**2 + v + 1. Let r(h) = y*b(h) + 4*l(h). Calculate a(r(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 25.9 - -6.1. Let l = v + -32.048. What is l rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of r**4\/12 - r**2. Let l(i) = -14*i - 14. Let g(a) = 7*a + 6. Let x(f) = 7*g(f) + 3*l(f). What is y(x(u))?\nAnswer: 14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2 - -5) + -2)\/1 - -58. Suppose 1 = -h, -4*h = -4*v - h + x. Calculate the least common multiple of 20 and v.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.6 - 1.4. Let n = m - -179. Let v = n - 167.0083. Round v to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/67292 and -31?\nAnswer: 67292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.01887 - -0.016. Let n = g - 519.59713. Round n to the nearest ten.\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -p + 49. Suppose -5*g + g = 2*d - 92, d - 5*g = p. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Express -11591*k - 17 + 23 - 6 - 10260*k as x*k + z and give x.\nAnswer: -21851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000265047401 rounded to seven dps?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.0415497 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002553141 rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/26 and 57\/52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*g - 0*g. Let q = g - 5. Put 5, 3, q in ascending order.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*c + 13*c - 57*c)*(-5 + 1 + 2)*(3*c + 5*c - 3*c + (2*c - 4 + 4)*(-1 - 3 + 2)).\nAnswer: 162*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4.897, 5\/2, 15?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**2 - 201455*o - 37033710.\nAnswer: 5*(o - 40474)*(o + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/(-6)*((-13203)\/54)\/163?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 >= 70652\/5949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 3*r**2 + 5*r - 78. Suppose -36*v - 29 = -5*f - 39*v, 0 = 3*f + v - 19. Is z(f) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4537, 30, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -14*q - 3. Let g(d) = -40*d**2 + 7. Calculate g(s(m)).\nAnswer: -7840*m**2 - 3360*m - 353","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 30.9999978 - 31. What is u rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 14 and 1246?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 235248194 divided by 6.\nAnswer: 117624097\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 168 and 6264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22*18\/(-132) + (-96 - (-3 - -6)).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17 - 2) + 27 - 8.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/36465 and -37\/5652075.\nAnswer: 5652075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 665 and 6606775?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 32\/6 + (-4)\/3. Suppose -i*w + 4 = -12. Sort 0, 3, w in ascending order.\nAnswer: 0, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -364, -803, -1242, -1681?\nAnswer: -2120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -16 - 34\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 64\/96 - 624\/900?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/2 + -1*4. Let a(s) = s**2 + 5*s - 1. Let p be a(g). Find the second derivative of w + 0*w**p - 2*w**5 + 0*w**5 - w**5 wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 747, 1407, 2079, 2769, 3483, 4227?\nAnswer: 5007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 58 = 121 - 98 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/40)\/(2\/(-5) - (-21)\/35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 220\/1925*189*(-10)\/(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 4, -3\/4, -747?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 163\/2?  (a) 2.6  (b) -2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -h**5\/10 - h**4\/6 - h**2\/2 - 207*h. What is z(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -1.7, 4259, -2, -2\/3, -9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -6*t**3 + t**2 + t. Let n be a(-1). Let u(c) = c**3 - 4*c**2 - 9*c + 4. Does 22 divide u(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w**3 + 4*w**2 + 11. Let p be n(4). Let d(h) = -15*h - 5. Let j be d(-4). Calculate the highest common divisor of p and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61183 is divided by 20304?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do 6473 and 760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -980*m**3 + m**2 - 3*m**2 + 1959*m**3 + 1 + 2*m - 976*m**3. What is r(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-1*(3 - 2)). Let m be (r\/(-2))\/((-3)\/(-24)). Suppose -m*w + 32 = -40. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 3*l + 27, 4*j + 1 = 5*l + 42. Let o(r) = 3*r + 3. Let a be o(-2). Sort j, 2, a in decreasing order.\nAnswer: j, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 4, 0, -1\/3 in ascending order.\nAnswer: -0.4, -1\/3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 15) + 13 - -17 - (-3 + 11).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -88, -178, -268, -358?\n\"Answer: -90*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 + 12.4. What is the third smallest value in 0.1, 4\/5, n?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1960061, -3920137, -5880213, -7840289, -9800365, -11760441?\n\"Answer: -1960076*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -9, -30, -67, -120, -189?\n\"Answer: -8*y**2 + 3*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of -q**4\/12 - 5*q**3\/3 - 3*q**2 + q. Let g be n(-9). Suppose -o + 40 = g*o. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 1943  (b) 0  (c) 0.1  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 192210 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jqjjjjqqjjqjjj. Give prob of sequence qqqj.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 556 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*r**4*u**3 - 29*r**3*u**3 - 5*r*u**3 - r*u + r wrt r?\nAnswer: -48*r**2*u**3 - 174*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 5. Let s(f) = f**2 + 3*f + 4. Let k be s(-4). Let m be h(k). Let g = m - -4. Solve -5*j + 4*j = -3*p - g, -p + 2*j - 7 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/24)\/((8\/(-48))\/1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 2*u**3\/5 + 8*u**2 - 354*u\/5 + 648\/5 = 0.\nAnswer: -27, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or -16393?\nAnswer: -16393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {o: 4, r: 5, i: 4, t: 2, m: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.31 - 2.26. Let w = l - 8. Put 2\/3, -0.3, w in decreasing order.\nAnswer: 2\/3, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 61*n**2 + 4*n + 11. Suppose -15 = 4*t - 59. Suppose t*s - 4*b - 22 = 8*s, -4*s - b + 23 = 0. Is l(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5b (base 13) to base 10\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 9 + 45 = 0. Let u be (-26)\/(-13) + 1*6. Let o = u + v. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (15\/((-375)\/(-10)))\/((-1)\/(-10)). Suppose 4*s + f - 6358 = 3*f, -s = -y*f - 1579. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-603 + 1233 - 551 + r)*(-2*r**2 + 5*r**2 - r**2).\nAnswer: 2*r**3 + 158*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 3*y - 6. Let u be h(-5). Let t = 62 + -59. Which is the closest to 2\/3?  (a) u  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 893 = -202*z + 249*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 + 246.91?\nAnswer: 247.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 6*q**2 - 20*q + 167. What is z(7)?\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -5) + (-1 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 9*t + 2. Let d be z(8). Is 13 a factor of 5\/(-25) + 262\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000029778274 to 6 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 2679689986 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1893 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(33)\/(sqrt(12)\/sqrt(4)))**2*-4 - sqrt(99)\/((sqrt(99)*-2)\/sqrt(11)))*-5.\nAnswer: -1100 + 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-48)\/20 - 9.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.99909643 rounded to two decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1422 + 111 = 43*j - 359. Let o(v) = v**2 - 9*v + 8. Let a be o(8). Sort a, j, 4.\nAnswer: a, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**4\/24 - 229*r**3\/6 - 27*r**2 + 2. Let d(s) = -s. What is d(b(o))?\nAnswer: -o + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o + 36. Let y be t(0). Let q be 4\/(-18) - (-800)\/y. Let n = 61 - q. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 + -5.09649?\nAnswer: -4.59649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*d**3 + 66580*d**2 - 587885*d - 120240 = 0. Calculate d.\nAnswer: -2672, -1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4576137?\nAnswer: 3, 743, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l + 2*s + 15, -7*l + 3*l = 5*s - 12. Suppose -2*r + l + 3 = 0. Let r*d - 3\/4*d**2 - 3 = 0. Calculate d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b - 3*b + b)*(-b - 1 + 1)*((0 + 2 - 3)*(6*b**2 + 2 - 2) + 3*b**2 + 2*b**2 - 3*b**2).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*j - 41*j - t - 10 = 0, -j = -3*t - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*m = 34718 - 33827 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -2*f + 21. Suppose 3*l + 15 - f = 0. Solve l*y = 8 - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 144 = -4*x, x - d - 65 + 29 = 0. Calculate the lowest common multiple of 99 and x.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -2*l**3 + 1. Let f(d) = -1915*d**4 - 8*d**3 + 1601. Let m(w) = -f(w) + 4*t(w). What is the first derivative of m(y) wrt y?\nAnswer: 7660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o - 5. Let m(i) = -2*i**3 - 13*i**2 - 2*i + 29. Let g be m(-6). Let j(s) = s + 4. What is g*j(q) + 6*p(q)?\nAnswer: -q - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + 1)**2*-6*-4.\nAnswer: 48*sqrt(11) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 22067, 2\/15, -0.2?\nAnswer: 22067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/4 or -43\/362?\nAnswer: -43\/362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*t**2 - 60*t**2 + 22*t**2.\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 642869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*c**4 + 4*c**5 + 18*c**5 + 14*c**4 - 97*c**5 + (-2*c**2 + 0*c**2 + 0*c**2)*(-3*c + 3*c - 2*c**3) + 24*c**4 - 24*c**4 + c**5.\nAnswer: -70*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-8\/7)*y**(-4) assuming y is positive.\nAnswer: y**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -3\/4, -1, 0.5, -9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -3607*c - 6. Is a(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3675833149 to 3 decimal places.\nAnswer: 0.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -15*f - 1. Let g(d) = -59*d - 4. What is -2*g(j) + 9*p(j)?\nAnswer: -17*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 - -9. Let l = 12 - u. Let o = l + 0. What is the lowest common multiple of o and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**3 - w**3 + w**3)*(-4*w**2 + w**2 + 5*w**2)*(4 + 3 - 4) + (-4*w + 0*w**3 + w**3 + 3*w)*(-45*w**2 - 74*w + 74*w)*(-2 + 0 - 1).\nAnswer: 129*w**5 - 135*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1145387640?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1878908 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w*w**(-14)*w*w)\/(w*w\/w**(2\/11)*w) assuming w is positive.\nAnswer: w**(-130\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -62, 1\/9, -19\/12.\nAnswer: -62, -29, -19\/12, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -8, -27, -80, -185, -360, -623, -992, -1485?\n\"Answer: -3*p**3 + p**2 - p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (-5 - (-5 - (4 + -1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, l: 1, n: 2}. What is prob of sequence nn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 32003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194182 is divided by 64724.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -873, 511, 2821, 6057, 10219?\n\"Answer: 463*x**2 - 5*x - 1331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -16*l**5 + 14252*l**4 + 60792*l**3 + 60892*l**2 - 28592*l - 42960 = 0.\nAnswer: -2, -1, 3\/4, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/9 + 20572*u\/9 - 1470694\/9.\nAnswer: 2*(u - 71)*(u + 10357)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Express -330*z**3 + 11*z**3 + 5*z - 7*z - 481*z**3 as t*z**2 + p*z + i + m*z**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*x - 5 = -4*p - 1, -p - 4*x + 1 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -22*x - 1. Let f be g(-1). Suppose y + 5 - f = 5*p, 8 = -4*y - 4*p. List the prime factors of y\/((-54)\/(-26) + -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 345336 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*m**2 + 1722 + 3*m**2 - 2*m**2 + 22432*m + 2*m**2 - 22330*m wrt m?\nAnswer: 16*m + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6859, -1, -3, 8, 19, -4 in descending order.\nAnswer: 6859, 19, 8, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = l + 5*y, -41*l = -44*l + 2*y + 48. What is the remainder when 1887 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a hour in minutes?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 53.27  (b) 3\/4  (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7 + 9. Let a = -44 - -77. Factor -20*v - 17 - 5*v**c + a + 9.\nAnswer: -5*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 + -0.5. Suppose -3*u = -2*u - 16. Suppose -5*t - u = -t. Put 2\/9, s, t in decreasing order.\nAnswer: s, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(272) + 0 + sqrt(17) + (sqrt(1088) - sqrt(17)))**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1420\/9 - -158. Let r = -4 + 8. Which is the nearest to -2?  (a) r  (b) -4\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 874762 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1712*l + 4853 - 4853.\nAnswer: -1712*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w + 2510 = 2*w. List the prime factors of w.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.043+12056351\nAnswer: 12056351.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - q + 23 = -3*n, 0 = -4*n - 4*q - 44. Which is the smallest value?  (a) 3  (b) -1\/4  (c) -5  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**3 + 17*l**2 + 13*l - 9. Let g(k) = -k**3 - 8*k**2 - 6*k + 4. Let u(m) = -5*g(m) - 2*q(m). Let c be u(-5). Solve -b + c - 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 158, 306, 454, 602?\n\"Answer: 148*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 54.2 and -0.9901.\nAnswer: 53.2099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p - 3. Let o be h(3). Suppose -5*m = -5*n + 5, o = n + 2*m - 7*m + 15. Solve -5*s + s + 5*z - 19 = 0, 2*s + n = z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*q - 4. Suppose -q*h + 1 + 5 = 0. Let z = 10 + -31\/3. What is the nearest to h in -2, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 328 - 323. What is the closest to -3 in a, 17, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -109565, -219153, -328745, -438341?\nAnswer: -547941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 1880*v + 13113. Determine s(-7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -322711 - -752?\nAnswer: -321737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6)\/(-5)*-1*-10. Suppose 3*n - q = 3. Suppose n*d - 2*k - 160 = -20, 2*k + 10 = 0. Calculate the remainder when d is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(425) - (sqrt(425)*1 + 3 - sqrt(425)))*3)**2.\nAnswer: -270*sqrt(17) + 3906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(27) + sqrt(27))\/sqrt(9) + sqrt(3) + 2*2*sqrt(3))*4*-6)**2.\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5 = -0*h. Suppose z - h*z = -16. Suppose -82 - 26 = -z*k + 4*r, 23 = k - 2*r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 129*f**3*v + f**2*v**3 + 4*f*v**3 - 35*f wrt f?\nAnswer: 774*f*v + 2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 103631477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80271 is divided by 235.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 l, and 1 h when three letters picked without replacement from lddddhllhdyhh?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 13*k**3 + 18*k**3 - 31*k**3 - 8 - 8*k**4 with respect to k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -13*m**5 - 414*m**2 + 414*m**2 + 0*m + 0*m + 4*m**5 + (-4*m**5 + 4*m**5 - 2*m**5)*(1 - 1 + 2) + 6*m**5 + 15*m**2 - 15*m**2.\nAnswer: -7*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.1248 - 0.125495. Round q to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(4 + sqrt(68)\/sqrt(4) + ((sqrt(68) - (sqrt(68) - -6*sqrt(68) - sqrt(68))) + sqrt(68))\/sqrt(4)) + 5.\nAnswer: -19 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t - 3*t = 40. Suppose 3 = -3*k - 5*m, -k + m - 1 + t = 0. Let h = 0.2 - 0. Sort k, -2\/3, h in decreasing order.\nAnswer: k, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**14*y\/((y*y*y\/(y\/(y*y\/(y**(1\/3)*y)*y))*y)\/y))**(-3\/13) assuming y is positive.\nAnswer: y**(-34\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17290682.\nAnswer: 2, 8645341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/(-3 + (-204)\/(-69)). Let w = 18 - q. Let h = 34 - w. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 307 and 15.\nAnswer: 4605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 793196001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2159 or 2160?\nAnswer: 2159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times 4367?\nAnswer: 13101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 27.918 and -3?\nAnswer: 30.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36 + 35.7. Let w = -0.5 - y. Let h = -44 - -44.6. What is the nearest to w in h, 5, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 897216385.\nAnswer: 5, 13, 19, 163, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + (2 - 4 - -2). Suppose 6*i - a - 16 = 0. Solve 0*o = i*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**3 - 5*n**2 - 3*n - 4. Determine t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(152) - (sqrt(152) + -6*(sqrt(152) + sqrt(152)*-5 + sqrt(152)) - sqrt(152)))\/sqrt(8).\nAnswer: -17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 93 and 87.\nAnswer: 2697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 820968.\nAnswer: 1\/410484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*j = -60*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 6*d + 476 = -3*d, 472 = 2*z + d. What is the greatest common divisor of z and 2491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 2*o. What is the remainder when c(8) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + ((-8)\/12 - (-45)\/(-18)). What is the nearest to -2\/9 in 5, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 4983 = d - 4966, 0 = 2*d + 3*n + 49 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -33662\/6857 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -9*o**3 - 3*o**2 - o - 8. Let i(l) = 28*l**3 + 10*l**2 + 4*l + 26. Determine 10*c(y) + 3*i(y).\nAnswer: -6*y**3 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135 by -27.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25 - -56) + -26)\/(-4 - 2)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -26, -47, -66, -83?\n\"Answer: n**2 - 24*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (67 - 156 - 151)*(-6*p - 32 + 32)*(-p**2 - p**2 + 0*p**2).\nAnswer: -2880*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 4*z**2 + 6*z - 50. Does 12 divide w(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**3\/4 + 307*j**2\/2 + 1653*j\/4 - 27495 = 0 for j.\nAnswer: -611, -15, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 48801 = -8*z + 7*z, -3*z = -5*k + 244001. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16354492 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -2*o**3 - 5*o**2 - 3*o - 2. Suppose 2*r = 2*v + 14, 3*v + 0*v + 5*r = 11. Let f = 35393 - 35385. What is the smallest common multiple of f and m(v)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-19\/3))\/(l*l**18*l))\/(l*l**(-2))**(-9\/11) assuming l is positive.\nAnswer: l**(-863\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-41 - -47) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -11 in 1\/2, 3\/4, 9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 231*m + 8285. Give d(-36).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3955933, -3955932, -3955931, -3955930, -3955929?\nAnswer: -3955928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17298*n**4*z + 6*n**4 - 2*n**2*z - 51880 wrt n?\nAnswer: -415152*n*z + 144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -17*c. Let a = -25 - -47. Let t(y) = -2*y - 3. Let p(h) = -7*h - 11. Let n(g) = a*t(g) - 6*p(g). Determine v(n(u)).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2668 and -58.\nAnswer: -15.4744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*t - 592, 2*t - 2*o - 926 = -334. Suppose -5*m - t = -9*m + 5*x, 3*x + 148 = 2*m. Calculate the remainder when m is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the second derivative of 16*i + 0 + 0*i**4 + 7*i**2 + 0*i**3 + 6\/5*i**5. Find the first derivative of p(b) wrt b.\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 - 6*s**2 - 10*s + 13. What is q(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tthtchthtctcthc. What is prob of sequence ctc?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 147 and 49?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 132, 233, 354, 501, 680, 897?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -334*j - 62412. Determine x(-184).\nAnswer: -956","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 + -8 + 78\/15 - (-3 + 10). Suppose 0 = 3*j - j - 18. Let f = j + -5. Which is the nearest to 1\/3?  (a) f  (b) l  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*i**3 + 88*i**2 - 4804*i - 4888 = 0. Calculate i.\nAnswer: -47, -1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 10 - 10. Suppose 0 = -d*w - 3*w + 48. Calculate the greatest common factor of 144 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (1226920\/3)\/((-4)\/(-12)). Let x = w - -6196921. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -1 - 0. Let q = -3768 - -3771. Let k(w) = -1. Let i(y) = -y**2 + 8. Let n(p) = q*k(p) + z*i(p). Differentiate n(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1515 and 214963653?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 + 21*z**2 - 26*z + 161. Calculate q(21).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 501*c**3 - 7 + 9 + 2906*c**3.\nAnswer: 2405*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -26\/20969245 and -89\/18.\nAnswer: 377446410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1889211 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 4. Let x = -7 - -11. Let z = x - 3. What is the smallest value in w, 0, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 PM and 1:02 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6559, -13105, -19651, -26197, -32743, -39289?\nAnswer: -45835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**5)**(-16) assuming q is positive.\nAnswer: q**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -3. What is the highest common divisor of i and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 10*h - 2. Let u(d) = -5*d + 1. Calculate 6*m(g) + 10*u(g).\nAnswer: 10*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59194738 is divided by 5507?\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -48.3 - -58.8. Let x = a + -10.3. What is the third smallest value in 1\/12, -6\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 146 - 121. Calculate the remainder when 72 is divided by q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:27 PM and 6:33 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.3662726023087 and -0.02.\nAnswer: -2.3862726023087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + 10 + -1 + -4 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -98*c**4 + 2*c**2*q + 663*q with respect to c.\nAnswer: -392*c**3 + 4*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11352217 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/((-4*8\/8)\/10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 9 - 12 - 4) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 1 - ((9 - 30) + 23)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*z - 1 + 12 + 12 in the form l + y*z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -158 plus 82514647?\nAnswer: 82514489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/4 and 1\/1630.\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 10*h**3 + 4*h - 4. Suppose 4*k + 40 = 2*t + 244, 5*t = -4*k + 232. Suppose -35 + k = -6*c. Let q(a) = -9*a**3 - 3*a + 3. What is c*x(y) - 4*q(y)?\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5297292 and 193452?\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2311201 + 2?\nAnswer: -2311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 151158 and 81618?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9954339697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-2)*18\/60. Let l = -5 - -2. Sort -1, d, l in descending order.\nAnswer: d, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22344419 to the power of 1\/2, to the nearest integer?\nAnswer: 4727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/(-63) - (-56)\/18. Let t be (2 - 14\/6)*-6. Suppose t*i = -3*m + 108, 2*i = v*m + 7*i - 99. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9222903 + 39600.81.\nAnswer: -9183302.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + 2 - 2 - 5 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/3*(-1647)\/(-305)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*q + 37*q - 36*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1500302355 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -43 in decreasing order.\nAnswer: 1, -4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (46 + -23 + -21 - 0\/1) + 7\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-528)\/(-104) + 7 + -12\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 divided by 80?\nAnswer: 67\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1461467156?\nAnswer: 2, 19, 53, 157, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1063379213?\nAnswer: 13, 19, 4305179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -10011 (base 2) in base 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -3)*(-8)\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of p**5\/10 - 23*p**4\/12 - 10*p**2 - 58*p. List the prime factors of i(12).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -3*z - 44*z**2 + 2*z - 1 - 26*z**2 + 76*z**2. What is p(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 362465 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -64952, -130126, -195290, -260438, -325564, -390662, -455726?\nAnswer: -520750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 187, -3, -7, -1, 0 in descending order.\nAnswer: 187, 0, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -3) + 2 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -14*t + 118. Let z be d(2). What is the highest common divisor of 80 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 7:45 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14429*j**2*o**3 + 7*j**2*o*z**2 - 26*j**2*z**2 - 9*j**2 + 160*j*z**2 - 2*z**2 wrt o?\nAnswer: -43287*j**2*o**2 + 7*j**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 4*u - 6, -4*q + 17 = -u - 2*u. Suppose -5 = -q*i - y - 6, 3*y + 15 = 0. Let b be i\/7*-9*-42. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -68*u**6 + 5958*u**3 - 123*u**2 - 6487*u?\nAnswer: -8160*u**3 + 35748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-4)\/5*(-10)\/4. Let t be (-2056)\/(-10) - 34\/(-85). Suppose 0*y - x*y = -t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 5 = -2*j. Suppose -5*u = 25, j*n - 4*u - 26 = 3*n. Calculate the remainder when 27 is divided by (n + (5 - 4))*(-10)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - (-54)\/12)\/(9\/1176). Let q = -68 - j. Which is the nearest to -2\/7?  (a) -3  (b) -5  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 250294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16 in 1\/2, -9, -6, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-75 - -95) + -41 - (3 + 0 + 0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-36)\/(-108)*3*1 + -33 - 4. What is the third biggest value in y, -1\/10, 4\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -5*4*1*(sqrt(833) + -1*sqrt(833) - sqrt(833)))**2 + 5.\nAnswer: -840*sqrt(17) + 333214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 134, 258, 402, 566, 750, 954?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -102*m**3 + 25*m**3 + 19*m**3 + 28*m**3 + 25*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 112 divided by -56\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 96 = 2*j - 0*j, j + p - 53 = 0. Let g = j + -33. Let c be g\/((-4)\/(-2)) + -2. Solve -1 - c = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.522877um in centimeters?\nAnswer: 0.0009522877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -8*q + 76. Let a be r(7). What is the highest common divisor of 220 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31 + 43230?\nAnswer: 43311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 8 = 0, u - j + 0*j = -26. Let x be (-18 + 13)\/(2\/u). Let k = 58 - x. Solve 3*v - 12 = v + 4*m, 14 = k*v - 4*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z + 12 - 22 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**2. Let n(t) = -442*t. Determine n(s(u)).\nAnswer: -884*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 0*h - 4*h - 45 = 0, 5*i = -5*h + 90. Let u be 4\/(-44) + (-7398)\/(-66) + -8. What is the highest common divisor of u and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 5*y**2 + 6*y + 12. Suppose -46 = -12*d + 110. Calculate the remainder when z(5) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/815 and 11\/1141.\nAnswer: 5705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 2 x when four letters picked without replacement from fyxyxqjxqxxxq.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 9:53 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xlax when four letters picked without replacement from {e: 1, x: 3, l: 6, a: 8}.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -4*w**2 - 3*w + 6. Let i be c(2). Which is greater: i or -17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 210212?\nAnswer: 210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 3 - (3 + -4 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n - 1. Let f = 7 + -9. Let w be h(f). Let s(k) = -2*k**3 - 3*k**2 + 3*k - 3. List the prime factors of s(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10301022 (base 4) to base 8.\nAnswer: 46112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 7:00 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000558353 rounded to 5 decimal places?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1232.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 2\/3*z**3 + 3 + 2*z + 0*z**2. Differentiate p(h) with respect to h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 49 = 3*j, 4*j - 67 = -3*c - 0*c. Solve -4*a + 1 = j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -251370 divided by -798\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -10*(-1)\/(-2) + -207. Let f = y - -272. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 3*s = 205. Let u = -3 + -3. Calculate the remainder when s is divided by (1 + 27\/u)*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*m - 2*m + 3*m)*(-9*m + 22*m + 13*m) + (-m - 1 + 1)*(0 - 7 - 3)*(2*m + 0*m - 3*m) in the form o + n*m + a*m**2 and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 6109452 divided by -27\nAnswer: -226276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-34)\/(-51))\/(1\/((840\/(-49))\/8)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2838 minus 0.0087?\nAnswer: -2838.0087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 709826.6 grams in kilograms?\nAnswer: 709.8266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 17 = 4*q, 0 = -3*q + g + 3. Let u be -2 + q - (-1 + -10). Let b = u + -4. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w - 3. Let t be l(6). What is h in -3*h - t*h**3 + 0*h**2 + 1 - h**2 + 4*h + 2*h**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w**3 - 86*w**2 - 27*w - 41. Give p(29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.21, 4 in decreasing order.\nAnswer: 4, 0.21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (6\/15)\/((-1)\/370*-1). Is 15 a factor of (q\/(-20))\/(1\/(-5))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-7 + -9 + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d - 1. Let k be x(2). Let p be -3 + 8 + 3\/k. Suppose 7 = -p*f + 5*f. What is the least common multiple of 4 and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 940874 divided by -470437?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 5:29 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/(-4)*(-512246)\/245?\nAnswer: 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4827*w**3 + 128832*w**2 wrt w?\nAnswer: -28962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of -g**5\/8 - 95*g**4\/12 + 3400*g**3\/3 - 39000*g**2 - 1773*g. Factor n(h).\nAnswer: -5*(h - 20)**2*(h + 78)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2357*a - 323610 = 1186*a + 524*a + 3638*a for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 19*n**2 + 47*n. Let v(j) = -j. Determine v(h(p)).\nAnswer: -19*p**2 - 47*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 253?  (a) -0.2  (b) 0.2  (c) 1474  (d) 3  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 589 (base 10) to base 9.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 1. Let m = -4179 + 4175.037. Let l = 0.037 - m. What is the closest to 0.1 in l, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 557.1 + -556.6. What is the nearest to -0.1 in 0.8, -5, t, -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 31146 and 17213356?\nAnswer: 51640068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, o: 9, b: 3, t: 1, x: 2}. Give prob of picking 1 x and 1 o.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/1834268 and -19\/458567?\nAnswer: 1834268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pdpxdpcppd. Give prob of picking 1 x and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1879, -1880, -1881?\n\"Answer: -x - 1878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**3 - 2*s**2 + s + 1. Calculate c(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 2 + (-15 - -12) - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6559425, 13118848, 19678271, 26237694?\nAnswer: 32797117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8679545 is divided by 52.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -706142488*o**2 + 1410740982.\nAnswer: -1412284976*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68, -601, -2056, -4895, -9580, -16573, -26336, -39331?\nAnswer: -56020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4950 divided by 6?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*f**2 - 175*f**2 + 83*f + 82*f**2 - 54*f**3 - 83*f.\nAnswer: -54*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.07 + -2.93. Let c = 3.605 + -0.005. Let l = c - 3.4. What is the nearest to -1 in l, a, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 47306489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - g + 2 + 1 - 9 - 5*g. Give u(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 391 + -375. Solve -i - b - 4 = 2*i, 4*i - 4*b = o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -57.600541 + 0.01.\nAnswer: -57.590541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6026*b**2*f*t - b**2*q*t - 44*b**2*t - 3*b*f*q*t - 199*b*f*q - b*q*t + 65*f*q wrt b?\nAnswer: -12052*f*t - 2*q*t - 88*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 18*j**2 + 11*j - 38. Let a be d(18). Let l(s) = -123*s**3 + s**2 + s + 1. Calculate the remainder when l(-1) is divided by a\/9 - 38\/(-171).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 131\/768 and -1\/128.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes after 8:22 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 10*o + 7. Let r(v) = 19*v + 13. Let k(a) = 11*f(a) - 6*r(a). Calculate k(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*p + 36*p + 10*p - 360 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -548, -1098, -1648, -2198, -2748, -3298?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*c**3 - 2*c**4 - 5*c**3 - 3*c**2 - 52*c + 52*c to the form i + u*c**2 + v*c + r*c**3 + q*c**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -11, -4, -13.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 - 531\/13. Suppose 43*b - 48*b = -15. What is the smallest value in b, 2, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -4526, 0.2, -101, 31, 1\/6 in descending order.\nAnswer: 31, 1, 0.2, 1\/6, -101, -4526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**1)**(-24)\/((w*w**4\/w)\/(w**(1\/5)*w)))\/((w**(2\/25)*w**4)\/(w*((w*w**4*w*w)\/w)\/w*w*w*(w*w**5)\/w*w)) assuming w is positive.\nAnswer: w**(178\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(171)*2)\/(sqrt(441) - (2*sqrt(441) + sqrt(441))) + -1.\nAnswer: -3*sqrt(19)\/7 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 230736 divided by -1\nAnswer: -230736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 7) to base 8\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 13 = -12. Suppose -i + 403 = 3*r, 4*r + l*i = i + 540. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -547*i + 144 = -499*i. What is the highest common divisor of i and 37?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23171955?\nAnswer: 3, 5, 59, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**14\/k*k*k*k*k*k**(-27)*k*k)**(-27) assuming k is positive.\nAnswer: k**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4620731572 - -1?\nAnswer: -4620731571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the first derivative of 2*v**3\/21 - 2*v**2\/7 - 6*v\/7 - 10. Let w(f) = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 - 2. Suppose 3*r + 8 = 5*r. Calculate the highest common divisor of r and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -6 - -10432 - (6 + 3). What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*(-8)\/160*10\/3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3\/59, -5\/2, 19.37 in decreasing order.\nAnswer: 19.37, -3\/59, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 5*l**2 - 2*l - 5. Let m(c) = -14*c**2 + 5*c + 14. Suppose h = -4 + 1. Determine h*m(s) - 8*v(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -979 - -974.97. Let k = t + 4. Let r = k + -0.07. What is the biggest value in 1, 0, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 1 - 1 - 488*j**2.\nAnswer: -488*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 321545?\nAnswer: 5, 7, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.6 + -0.6. Let n be ((-18)\/21)\/(2 + 18\/(-7)). What is the second biggest value in n, -0.3, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the third derivative of 2*k**2 - 33\/70*k**7 - 3\/2*k**5 - 1\/2*k**3 - 9\/112*k**8 + 0 + 0*k - 23\/20*k**6 - 9\/8*k**4. Factor g(a).\nAnswer: -3*(a + 1)**3*(3*a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -517.77091 from 0.0316.\nAnswer: 517.80251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -11\/6  (b) 3  (c) -33140  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9, -3, -1463853, 4 in decreasing order.\nAnswer: 9, 4, -3, -1463853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 502 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*i = -25*i - 10*i - 30*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 9*s. Let g(p) = 45*p**2 - 50*p. Let o(h) = 11*h**2 - 12*h. Let f(i) = 6*g(i) - 25*o(i). Determine f(z(a)).\nAnswer: -405*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 103753658?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -35846 (base 11) to base 7.\nAnswer: -303266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 4*d + 5*p - 57, 2*p + 38 = 2*d. Suppose 5*y = 4*u - 23, -5*u + 3*u = -5*y - d. Let f(q) = -26*q - 14. Is 8 a factor of f(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vfpnkjk. Give prob of sequence kk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + -2*sqrt(153))*4)**2 + (sqrt(153) + (((sqrt(153) - (sqrt(153) - sqrt(153)*1)) + sqrt(153))**2 + 2 - sqrt(153)))*-5.\nAnswer: -384*sqrt(17) + 6786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -811655 or -7304884\/9?\nAnswer: -7304884\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -520, -610, -706, -760, -724, -550, -190, 404?\nAnswer: 1280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -11*a + 3. Let w(y) = 20*y - 7. Calculate -3*w(s) - 5*z(s).\nAnswer: -5*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the second derivative of -2*u**3\/3 + 4*u. Suppose 0*h - 4*h = -12. Let d be 9\/(-4) + h\/12. Let x(t) = -5*t - 1. Calculate d*x(w) + 3*l(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 269*g + 4053 + 7483 = 163*g - 306*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 44475558 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((2 + sqrt(500))*-5)**2.\nAnswer: 1000*sqrt(5) + 12605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/2)\/1 - -2. Let r be (-2 + 2)\/(b - -1). Suppose r = 7*j - 4*j - 15. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 761 minus 499.92?\nAnswer: 261.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 57 = -53. Let i = h - 105. Solve -3*q - m = -8 - i, -q - 4*m + 8 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-2)*(-12)\/(-10). Let j be 2\/2 - (-1247991 - 3)\/p. What is j rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -48*u**2 - u - 1. Let z(b) = 2101*b**2 - 5*b - 2073. Let s(d) = -5*q(d) + z(d). What is the first derivative of s(n) wrt n?\nAnswer: 4682*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11.4 + -11.2. Let p = 1 - -2. Suppose -2*s = -p*a - 11 - 4, -4*a - 5*s = 20. What is the nearest to -1\/3 in r, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 79*r - 85*r + 534 = 0. Let b = -60 + 90. Calculate the remainder when r is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: 476425a (base 11) to base 13\nAnswer: 194b140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.05978 + 2.51382. What is c rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -r - r. Let g be 56\/16*6*r. What is l in 20 + 15*l - 18*l**3 + 6*l**4 - g*l**2 - l**4 - 4*l**2 + 3*l**3 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by (-3)\/((-1904)\/(-175) + -4 - 7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + -6*((sqrt(7) - (sqrt(7) + 1)**2) + sqrt(7) + 0 + 3)*5 + -5.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 401678.1ml in litres?\nAnswer: 401.6781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -22 + 2*v + 5*v - 25*v - 2*v**2 wrt v?\nAnswer: -4*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) -0.2  (c) 2\/9  (d) 305  (e) 271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000222503 to 7 decimal places.\nAnswer: 0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 68099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 36 + -2 + -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 631245*s**2 - 82*s - 32. Let r be k(-16). Suppose 11*p - 15*p - r = 0. What is p rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7132370 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 79, 129, 197, 289, 411, 569?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 2*1*(51531\/(-890) + 57)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -18*q**2. Let p(l) = -29*l**2 - 1 + 1 + 31*l**2. What is c(p(x))?\nAnswer: -72*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -3*p - 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 91 + -42. What is the least common multiple of 22\/33 + (640\/12 - 2\/(-1)) and q?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -55*q - 451. Determine x(-7).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-45954)\/483)\/111*6\/3*-42\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2288304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2736 by 5.\nAnswer: -2736\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 38597 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 13*d + 175 - 66 + 96*d - 48 wrt d?\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssns when four letters picked without replacement from {s: 11, n: 5}?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 13*i**2 + 32*i - 235. Is l(22) 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 {b: 2, n: 5, j: 1, r: 2, a: 2, u: 1}. What is prob of sequence nn?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 14007102113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17064633 by 489.\nAnswer: 34897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 6, 10*j + 2*o - 19 = 5*j. Suppose 0 = -3*a + 9, 0*a + 4*a = h + j. Is 12 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 610 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, w: 1, f: 2, x: 1, o: 1}. Give prob of picking 1 k and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 983 - 681. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/14)\/1 + (-130184)\/(-336). Let c = -387 + t. Factor -c*k + 1\/3*k**2 + 1\/6*k**3 - 1\/3.\nAnswer: (k - 1)*(k + 1)*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -a**3 - 53*a**2 + 774*a + 8587382?\nAnswer: -3*a**2 - 106*a + 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 3*c**2 - 186*c - 2664. Give n(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 73161632 - -12?\nAnswer: 73161644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-2)\/6)\/(1\/(-15)). Let u(n) = -n**2 + 4*n + 7. Let v be u(b). Let d(g) = -3*g**2 - g**2 - g**2 + 6*g**v. Let q(k) = -2*k. Calculate q(d(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 37746097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6996 or 6992?\nAnswer: 6992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 6\/5 - 13\/5*m**2 + 19\/5*m + 7\/5*m**4 - 19\/5*m**3 = 0.\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18214504723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 25*d + 2. Let k be w(-2). Find the common denominator of -49\/6 and ((-38)\/3)\/(k\/27).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 - -1111222013?\nAnswer: 1111222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -710159 or -710157?\nAnswer: -710159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 540718, 540712, 540702, 540688, 540670?\n\"Answer: -2*b**2 + 540720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 315941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.11 less than -2135306400?\nAnswer: -2135306400.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of -z**6\/21 + 142*z**5\/35 + 471*z**4\/7 + 2916*z**3\/7 + 1269*z**2 + 13446*z\/7 - 624. Factor c(j).\nAnswer: -2*(j - 83)*(j + 3)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -3*g**2\/2 + 495*g\/2 + 2625 = 0?\nAnswer: -10, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 - r**2 - r + 2. Suppose -4*j + 0 = -8. Let o be z(j). Let t = -618 + 617. Which is the second biggest value?  (a) t  (b) -2  (c) 0.9  (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -341 divided by -9.\nAnswer: 341\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + v**2 + 3)*(2 + 2 - 1) - 25*v**2 + 18*v**2 + 14*v**2 to the form w*v + h*v**2 + n and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 6*t = -5*r + 11045, -2*t - 10 = 0. Calculate the lowest common multiple of r and 1738.\nAnswer: 24332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.01140057 rounded to 3 dps?\nAnswer: 3.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 5:14 PM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*z - z - 34, -2*s = -3*z - 15. Let g = z - -7. Suppose 5*y - 12 = -2*n, 4*n - 24 = -g*y - y. Solve -n = -b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 14*y - 15*y + 9*d + 27, 3*y = -5*d - 47 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 259.449 litres to millilitres.\nAnswer: 259449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 4*b**2 + 3*b - 3. Let l = -8393 + 8387. Let f(s) = -5*s**2 - 4*s + 4. Calculate l*m(k) - 4*f(k).\nAnswer: -4*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 - 1. Let k = w + -11. Suppose 3*g + 3*u - 30 = 0, k = 3*g + 4*u + 1. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 29*c + 13*c - 157080. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1459, -1452, -1435, -1402, -1347, -1264?\n\"Answer: x**3 - x**2 + 3*x - 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m**2 - 11*m - 7. Let t be o(-10). Suppose 0 = 3*f - f + 2*c, -3*f = 4*c + 2. Let r(b) = 0*b**2 + 4*b + t + f*b - b**2. Calculate r(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -406 divided by -1949?\nAnswer: 406\/1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00064607 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 677229005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1*2\/(-4)*-2. Let r be 22\/(-132) - (-76)\/24. Solve r - p = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1056 + b + 5135 - 1831 to the form h*b + s and give s.\nAnswer: 4360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77)*1 - sqrt(77))))*1)\/sqrt(11)*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -2\/7  (b) -43  (c) 4  (d) 5  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 23, 35, 47?\n\"Answer: 12*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(28\/8) - (4 - (9 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 159 - 150. Let r be i\/(-21) - (-5)\/7. Suppose 4*s + 2 = -2. Which is smaller: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**4 + 5 - z**2 - 5 + (-4*z**3 + 3*z**3 + 0*z**3)*(2*z - 3*z - z).\nAnswer: z**4 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*m = -20256 - 15332. Does 62 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -262 + 222. Calculate the lowest common multiple of l and (-584)\/(-14) + 14\/49.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317*k + 307*k + 14864 = -350*k - 589*k for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11217 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-4) - (-7)\/4. Suppose u*j + p = 19 + 4, p = -4*j + 41. Solve -4*c - 5*r = j, 5*r - 6*r = 4*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 5:34 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -19241, -16116, -12991, -9866?\n\"Answer: 3125*l - 22366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*l + 850 = -26*l. Let d be -1 - (-3 + (-36)\/(-8) - 3). Which is the closest to l?  (a) d  (b) 0.1  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4977 and 126039207.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11149.\nAnswer: 11149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 843 is divided by 420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000966 rounded to 5 decimal places?\nAnswer: 0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11 - -15. Let i(p) = 96*p**3 - 3*p**2 + 2*p - 5. Let c be i(g). Is c\/33 + (-2)\/(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {w: 4, n: 4, x: 3, r: 4, t: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b\/((b*b**(-5))\/b))\/b)\/(b**(-5)\/b)*b**(-3)\/b**(-7) assuming b is positive.\nAnswer: b**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 - 5b01?\nAnswer: -5b13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1800144 and 6945.\nAnswer: 9000720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4*(sqrt(170) - 1*sqrt(170)))\/sqrt(10) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 - 57. Let t be s\/(-6)*12\/5. Let k = 26 - t. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 751711?\nAnswer: 751711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22.49261t to grams.\nAnswer: 22492610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -2*t**4 + 4632*t**3 - 9256*t**2 = 0.\nAnswer: 0, 2, 2314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*y**3 + 525*y wrt y?\nAnswer: 114*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 39774 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of -s**3\/6 - s**2 - 2*s + 2. Let i(d) be the first derivative of f(d). List the prime factors of i(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 23. Let y(k) = -1 - 28*k**2 + 2*k - f + 31*k**2 - k. Let n(l) = -3*l**2 - l + 4. Calculate -3*n(c) - 2*y(c).\nAnswer: 3*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 901\/14, -4, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*k - k**3 + 2*k + (-k**2 - k**2 + 0*k**2 + 5*k**2 + 0*k**2 + 6*k**2 + (-1 - 2 + 1)*(-1 + 1 - 3*k**2))*(3 - 4 + 0 + k).\nAnswer: 14*k**3 - 15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 105\/140 - (-23)\/(-4). Let m(g) = 15*g**2. Let d(u) = 8*u**2. Determine x*d(o) + 2*m(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25312*f + 50614*f - 25304*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 88 = 12*t. Calculate the remainder when t is divided by -2 - (12\/(-3) - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173*x**2 - 1014*x**2 + 4*x**2.\nAnswer: -837*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 427*z - 1757. Calculate q(4).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of 3\/2*j**2 - 1\/4*j**4 - 9*j + 5 + 4\/3*j**3. Let r be h(4). What is the highest common factor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -17030, -9548, -2064, 5422, 12910, 20400, 27892?\n\"Answer: z**2 + 7479*z - 24510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 14*i**4 - 8*i**2 + 8*i - 4. Let u(k) = k**2 - k - 1. Let o(x) = c(x) + 8*u(x). What is the derivative of o(m) wrt m?\nAnswer: 56*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 take away -0.222156?\nAnswer: 1.222156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 570 = 127*u + 1264 + 4132 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 311534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 19, 40, 69?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 94 a factor of 242947774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 9\/21 + 0 - 44\/(-28). Let z be (131\/c)\/((-2)\/(-2 - -6)). Let q = -121 - z. Solve -6*r = -q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10277 rounded to three decimal places?\nAnswer: 0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 2*d**4\/7 + 990664*d**3\/7 - 4953358*d**2\/7 + 5944044*d\/7 = 0.\nAnswer: -495337, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -0*q + n - 1432, 3*q - 1089 = 3*n. Suppose -3*p = -91 - q. Calculate the greatest common divisor of 100 and p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -188 - -190. Which is smaller: w or 31\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -49  (b) 5  (c) -1\/4  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13135.\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 40986414 to the nearest integer?\nAnswer: 6402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -4*j**2 - 3*j**2 + 4*j**2. Let x(m) = 2*m**2. Let w(a) = -4*a**2. Let r(f) = 4*w(f) + 11*x(f). Give r(p(g)).\nAnswer: 54*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 13583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 35*i + 48*i - 482977. What are the prime factors of i?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 20 - 22. Is o at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2482*h - 2489*h - 1157*h - 2935*h to the form q + y*h and give y.\nAnswer: -9063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*y = -70*y - 9. Let f(k) = -50*k + 5. Let w(v) = -25*v + 3. Give y*f(x) + 5*w(x).\nAnswer: 25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 125*p + 225. Is 55 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -281502*p**2 + 519255.\nAnswer: -563004*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31925*-0.74.\nAnswer: -23624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000074788 to seven decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/8  (b) -1\/41  (c) 0  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4806 + -3364. Calculate the greatest common factor of 210 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12014 (base 5) in base 3?\nAnswer: 1012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**3 + 4*s**2 - 4. Let x be w(4). Put 10, x, 4, 3 in ascending order.\nAnswer: x, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 7:50 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/3)\/p)**(-7\/4)\/(p**0)**17 assuming p is positive.\nAnswer: p**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**4\/15 - 14*c**3\/15 - 2*c**2 - 6*c\/5.\nAnswer: -2*c*(c + 1)*(c + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - y**2 + y. Let q(v) = v**3 - 3*v**2 - v + 6. Let p(z) = -q(z) - 2*w(z). Let b be p(-5). List the prime factors of b\/(-4) + (-126)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2720*n - 46560 = -3100*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-3 + 2 - 4) + 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93250466.\nAnswer: 2, 67, 695899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**4\/2 - 342*o. Let z(h) = -h**2. Determine z(q(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.576 - 0.076. Put 1\/3, j, 2.4 in ascending order.\nAnswer: 1\/3, j, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 10:28 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x = 36. What is the remainder when 28 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 534 a factor of 3200232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the third derivative of 0*q**5 + 0 + 1\/30*q**4 + 7*q**2 - 1\/150*q**6 - 1\/525*q**7 + 1\/15*q**3 + 0*q. Factor l(n).\nAnswer: -2*(n - 1)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 + 3*a - 1. Let h(l) = l**2 + 8*l + 3. Let m be h(-7). Let y be o(m). Let z(i) = -4*i**2 - 5*i - 3 + 5*i - 2*i - i**y. Determine z(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 274 - 1440?\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 7*c. Let k(i) = -12*i + 15. Let j(t) be the first derivative of t**2\/2 - t + 3. Let b(m) = 15*j(m) + k(m). Give b(u(p)).\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j. Suppose 3*o = -2*o + 30. Let z(q) = -q + o*q - q. Give z(k(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 794, 3169, 7098, 12545, 19474, 27849, 37634?\nAnswer: 48793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 2*c**3 - 2*c**2 - 2*c + 2. Let u(t) = -t**3 + 1. Calculate -o(a) + 2*u(a).\nAnswer: -4*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-28 - 90 + 8)*(-32*q**4 + 9*q**3 - 36*q**4 - 2 + 71*q**4) in the form o*q**2 + a*q**4 + b*q + v*q**3 + g and give a.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 31\/(2387\/(-1218)) - (-71)\/142*8\/(-22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**11)**(22\/9)\/(c**11*c*c**17))**(-14) assuming c is positive.\nAnswer: c**(266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1331) - (-5 + 1 + sqrt(1331)))*-3 - (0 + -1*sqrt(1331) - 3*(sqrt(1331) + 0 + sqrt(1331)))) + -3)**2.\nAnswer: -2310*sqrt(11) + 65444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, -0.6, 10, -2\/63, 5, 1?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 615 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*i**2 + 34*i - 34*i.\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1000*p**3*z**2 - p**3*z - p**3 + 116*p**2 - 14*p*z**4 + 3*p*z - 23 wrt z.\nAnswer: 2000*p**3 - 168*p*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 11 = 5*g, 5*g + 6 = 5*a + 1. Let m(s) = -15*s**3 - 7*s**2 + 9*s. Let n(p) = -7*p**3 - 3*p**2 + 4*p. Give a*m(y) + 7*n(y).\nAnswer: -4*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 49*t + 131*t + 21*t + 52*t as y*t + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - -2) + -3 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1181, 2464, 3847, 5330, 6913, 8596?\n\"Answer: 50*v**2 + 1133*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3 and -693.\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(448))\/(sqrt(324) - (sqrt(324) - sqrt(324)*-2))*3 + (sqrt(224)*-6)\/(-6*sqrt(2)*2)*5.\nAnswer: 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/2, 0, 2, 4.\nAnswer: 0, 2, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 12923, 13016, 13171, 13388, 13667, 14008, 14411?\n\"Answer: 31*t**2 + 12892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 42*g**2. Let v(b) = 5*b - 18. Let j(l) = 14*l - 51. Let y(x) = -6*j(x) + 17*v(x). Calculate k(y(n)).\nAnswer: 42*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 8*g - 27. Solve -3*v + 3*n = -2*v - g, 4*v + 16 = -4*n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/8*(-292)\/(-365)*6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.3?  (a) 2\/13  (b) 3\/4  (c) 0  (d) 0.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23.728 - 180.938. Let u = m + 6.71. Let i = -125 - u. Round i to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {z: 1, p: 3, e: 3, n: 4, r: 2, x: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y + 0*c = 4*c + 3 + 9, 0 = 5*c + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 32184138*j**5 - 17631329*j?\nAnswer: 643682760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 1 = -2*u, -5*c - 9 - 6 = 5*u. Let i be ((-14)\/u)\/((-1)\/(-4)). Let w = 20 + -13. What is the highest common factor of w and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 178063.8 centimeters in micrometers?\nAnswer: 1780638000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 52*d**3 - 11*d**2 + 15*d + 11. Let h(m) = 17*m**3 - 4*m**2 + 5*m + 4. Let y(o) = 11*h(o) - 4*z(o). Find the second derivative of y(u) wrt u.\nAnswer: -126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 51585 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 12641719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 5*p - 1035 + 1079 = 0, -3*p + 60 = -4*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 4*s**2 - 13*s - 2. Calculate a(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 283.3 - 285.3. What is the nearest to 58 in 4, 2, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -355 - -606. Let v = r - 251.3. Which is the third biggest value?  (a) 11  (b) v  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: a2a (base 11) to base 4\nAnswer: 103122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3*-93*5\/(-480)*36\/(-3006) and -119\/3006.\nAnswer: 24048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3684661*m**4 + 9*m**2 + 395052*m + 95 wrt m.\nAnswer: 44215932*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3630?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-35\/2)*y*y*y*y**24*y*y*y**(-9)*(y\/(y**27*y*y)*y)\/y assuming y is positive.\nAnswer: y**(-51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - 25*g**2 + 57*g - 45. What is the tens digit of l(-28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/550*(-2648)\/24. Let k = r + 18\/25. Find the common denominator of -20\/3 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (1 - (-6 + 14 - 28))) + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) + sqrt(2299) + (sqrt(2299) + 1 + sqrt(2299) + 3)**2 - (-3 + 0 + sqrt(2299) + sqrt(2299) + sqrt(2299))) + -1)*5.\nAnswer: 825*sqrt(19) + 46070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7364 and 26965127?\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 3*n**3 + 93*n**2 - 17*n - 1724. Determine g(-30).\nAnswer: 1486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-642)\/(-15) + 84\/(-105). Let d be (63\/6)\/(18\/120). What is the greatest common factor of d and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from jnppdjppp.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.19 times -116\nAnswer: -22.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**2 - 1105*b + 2108 - 2*b**2 + 1107*b.\nAnswer: b**2 + 2*b + 2108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * -0.3\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 935 = -2*p. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -4*a + 0 + a**2 + 1 - 4. Let r be h(5). Let l(c) = 2*c - c**2 + r - 1 + c. Give l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkqkkkq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n + 12 - 36. Let z be 70\/245*(n*-1 - 1). Sort -1, z, 6.\nAnswer: z, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -494*m - 31028 = -497*m - 5*c, 4*m = 5*c + 41324. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1913*q + 1921*q. Which is the closest to -2?  (a) -4\/5  (b) -1  (c) q  (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 3)*(-3 + 4). Let f(b) = -1 + 29*b**w - 12*b**2 - 15*b**2. Let r(v) = -v**2 + 1. Let g(i) = 2*i + 2. Let z be g(-3). Determine z*r(o) - 3*f(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 14603, 14600, 14597, 14594?\n\"Answer: -3*d + 14606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*p - 175 = 72. What is the smallest value in 0, p, -1\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 9*f + 10. Let o be u(-7). Let q(m) = 2*m**2 + 4*m. Let g be q(-3). Let c = g + o. Solve 0*j + c*j + 4*z = 0, 0 = -5*j + 4*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3\/5 + 65538*m**2\/5 - 104832*m + 1048224\/5.\nAnswer: -3*(m - 21838)*(m - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*z - 447*z + 115412 = 644*z - 405*z for z.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((-4*sqrt(98) + -2)**2 + 5) - (-5*((sqrt(98) - 6*sqrt(98)) + sqrt(98)) + (0 + sqrt(98))*1)**2.\nAnswer: -47949 - 336*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8 + 630\/77 - 532\/990 and -81\/8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 31420 by -6284.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.323 and 489.\nAnswer: 4558.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 30 = 5*b. Suppose -2 = 4*l - b. Let r(o) = -15*o**2 - 5*o. Let g(d) = 99*d**2 - 138*d**2 + 32*d**2 - 2*d. Give l*r(u) - 5*g(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 29766463151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*k - 7*k - 68 = 0. What is the closest to 2 in k, -0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174095 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 235818456 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (30\/(-9))\/(3\/(-9)). Let z be (-12)\/(-3) - 4\/(-28)*-7. What is the highest common factor of z and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 - 8. Let g = z + -2. Suppose -16770 = -g*k - 156770. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the second derivative of 1\/12*z**5 - 9\/2*z**2 + 15\/2*z**3 - 5\/4*z**4 - 6*z + 0. Let j(t) be the first derivative of b(t). Factor j(v).\nAnswer: 5*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 + 4529253*u**2 - 13587768*u**2 + 4529256*u**2 + 3*u**3 + 4529259*u**2.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2361304 divided by 4?\nAnswer: 590326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 0 + -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 36\/((-52)\/32*-144)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 + 6*p**2 + 8*p. Let u be v(7). Calculate the highest common divisor of 49 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3\/6 - 125*m**2 - 31497*m\/2 - 46870\/3.\nAnswer: (m - 860)*(m + 1)*(m + 109)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 408915559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -1. Does 23 divide ((-34)\/(-3))\/(2\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000283750049 to seven dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 144*a - 7 = 145*a, -2*h = 3*h + 3*a - 109. Suppose 4*s - 2179 = -u, -5*s + 5*u + 4445 = 1740. What is the remainder when s is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d + 4427 - 4492 = -0*d. Solve d*q + c = -31, -26 = 4*q + 12*c - 10*c for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -45?\nAnswer: -8\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/20)\/((-3)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the third derivative of -2*u**2 + 0 + 7\/60*u**5 + 0*u**3 + 0*u + 0*u**4. Let d(j) = -273*j**2 + 86*j**2 + 92*j**2 + 97*j**2. What is d(w(a))?\nAnswer: 98*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 r, and 1 e when four letters picked without replacement from leeljvrllirvee?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 215792 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: Which is smaller: -1933.18709 or -2\/7?\nAnswer: -1933.18709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 r when two letters picked without replacement from {b: 1, r: 1, w: 1, c: 2, k: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -83 and -33651577?\nAnswer: 33651494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1705070, -3410210, -5115348, -6820484, -8525618, -10230750?\n\"Answer: n**2 - 1705143*n + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7556063.\nAnswer: 521, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56723998 is divided by 4726999.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 944 = 87*m - 461 - 248 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-281*i + 323*i - 1211*i)*(-7 + 14 - 2).\nAnswer: -5845*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -168 divided by -2114886.\nAnswer: 28\/352481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -21, -113114.\nAnswer: -113114, -21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 53 - 6. Let f be 1*(-2 + 3) + 32. Suppose -4*r = -f - k. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -198, 52 in descending order.\nAnswer: 52, 0, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.85 - 3.7?\nAnswer: -0.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*q + 8*c - 982 = 6*c, -18 = -3*q + 8*q - 3*c for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 6*t - 7*t - 178, -4*c - t + 368 = 0. Which is smaller: c or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 9400 = 666. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 720\/45*(-202)\/(-40)*(-310)\/248.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-91992)\/(-34497))\/(592\/(-18))?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 22 = 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8420 = -7*s + 12160. Factor 2940 + 35*q**3 - 150*q + 515*q**2 - s.\nAnswer: 5*q*(q + 15)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 151\/5 + -29. Let d = -629 - -627.2. Let z be (6\/40)\/3*4. What is the nearest to d in z, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 8*b**5 + 7*b**4 - 3*b**3 - 6*b**2 - 3. Let s(d) = -d**3 + d**2 - d - 1. Let h(k) = -p(k) + 3*s(k). Find the third derivative of h(x) wrt x.\nAnswer: -480*x**2 - 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4070*k + 4054*k + 144. What is the highest common divisor of 1143 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -76, -114, -152?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*l - 4 + 4 + 10*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -72, -143, -216, -291, -368, -447, -528?\nAnswer: -611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2479352.\nAnswer: 2, 41, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xydazdxxxxxxzxzydza. What is prob of picking 2 x and 1 d?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = 16*w - 30. What is the third derivative of -70*o**w + 19*o**2 + 31*o**3 + 31*o**3 wrt o?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 608498121.\nAnswer: 3, 7, 11, 53759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-2)))**5\/(v**(2\/11)\/v*v**4) assuming v is positive.\nAnswer: v**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -16*u + 13. Let y(f) = 11*f - 10. Let c(m) = 12*m - 11. Let r(s) = -6*c(s) + 7*y(s). What is -2*g(j) - 7*r(j)?\nAnswer: -3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 2*r = -0*m + 162, 18 = m + 5*r. Suppose -2*z + 20 = 2*o, o - 5*z + m = 5*o. Calculate the remainder when 27 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -101363, -101367, -101373, -101381, -101391, -101403?\n\"Answer: -a**2 - a - 101361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -16. Let j = 18 - q. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 1051652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 2, 4, 10, -5, -10 in increasing order.\nAnswer: -10, -5, 2, 4, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20067, -20356, -20643, -20928, -21211, -21492, -21771?\nAnswer: -22048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/3*(-4 + 1). Let m be 4 - (x + 0) - -11. Let k = m - 9. Which is smaller: k or 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8839.999989985 - -8840. Round o to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3270661.\nAnswer: 89, 36749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*r - 265*r - 217*r = -28125 for r.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3796, 15200, 34208, 60820, 95036, 136856, 186280?\nAnswer: 243308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1396761*p**2 + 1008488*p wrt p.\nAnswer: 2793522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 10:58 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 38*u + 119. Determine m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3*sqrt(567) + -4).\nAnswer: -24 + 162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 126, 14 in ascending order.\nAnswer: 1\/7, 14, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.01*-146806.\nAnswer: -1468.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**4 - 18038*l**3 - 262278*l**2 - 515808*l + 325728 = 0. Calculate l.\nAnswer: -12, -3, 1\/2, 4524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 104093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18\/17 + 87\/34. Let u = 1681\/17 + -99. Which is the smallest value?  (a) -9  (b) u  (c) -2\/7  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = -3*n + 12, 0*u + 5*n + 6 = 2*u. Suppose -4*i - i = -4*t + 770, -t = -u*i - 196. What are the prime factors of t?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**2 + 7*u - 1. Let r be d(6). Let n(y) = 119*y**2 - y - 1. Let p be n(2). Suppose p + 272 = r*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 - 224?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 PM and 11:37 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 719172, 1438280, 2157390, 2876502, 3595616, 4314732, 5033850?\nAnswer: 5752970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -p - x - 30, -2*p + x + 20 = 0. Solve -5*u - p = 5*m, 2 = m - 3*u - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -635 + 635 + 1520*t in the form a*t + k and give a.\nAnswer: 1520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = 5*w - 110, -5*w + 50 = 2*a - 72. Suppose w*h + 8379 = 35*h. List the prime factors of h.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 675056 and 9?\nAnswer: 6075504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101000110 - -1010100101?\nAnswer: 1111101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + sqrt(12)*2 - (3 + sqrt(48))) + 1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - c - 5 = 2*d, d = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - t - 4981 = -1627, -4*h + 13404 = -t. What is h rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -56\/1664625 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 26086982668053 and 1.2.\nAnswer: 26086982668054.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 51392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 9) to base 4\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -13. Let l = 4 - 0.5. Let o = 2.5 - l. What is the second smallest value in 4\/3, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -764532\/13 or -58810?\nAnswer: -58810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2 - 4*d + 3*d**3 - 3*d**2 - 4*d**3 + 0. Let x be v(-2). Solve c + x = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 779243 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4.6 times 30115\nAnswer: 138529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1590 and 776556.\nAnswer: 3882780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 9}. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1*7\/70*6\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2 - 5 = 0. Let j(z) = -5*z - 4. Let p be j(y). Let k = p + -4. What is the remainder when 12 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21 - 14. Let g = -11 - -5. Let j = q + g. Which is the second smallest value?  (a) -3  (b) -5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 93476448, 93476447, 93476446, 93476445, 93476444, 93476443?\nAnswer: 93476442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 e when three letters picked without replacement from npppsqvpesvn.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4418, 4064, 3712, 3362, 3014, 2668, 2324?\n\"Answer: n**2 - 357*n + 4774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -264.71098462 - -264.765. Let c = 0.054 - i. Round c to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2154 - 29 = 5*u. Suppose -3*r + m = -251, 3*r - 5*m + u = 8*r. Find the common denominator of (-4)\/14 - 1474\/r and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the second derivative of 281*f**3\/6 + 2*f - 601. Let y(p) = p. What is d(y(k))?\nAnswer: 281*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -616 - -623. Solve 38*w + 0*w**2 + 40 + w**2 + 4*w**2 + l*w = 0 for w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1 - (-2)\/3*6. Let i be (-3)\/((k\/(-4))\/1). Suppose a + 0*a + 85 = i*p, 4*p + 2*a = 82. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11183519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 4*l + 4 = -5*z, l = 3*z + 2. Let q(k) = k + 13. Let d be q(-6). Suppose n - 1 - d = 0. Calculate the least common multiple of n and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1163 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 845 by 1.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-3\/13))**(-49) assuming y is positive.\nAnswer: y**(-784\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10, -18, -42, -88, -162, -270, -418?\n\"Answer: -f**3 - 2*f**2 + 5*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2619.795 kilometers to meters.\nAnswer: 2619795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*v + 6. Solve -10 = v*h - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1770 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 406666325?\nAnswer: -406666326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -10\/30107 and -3\/126038.\nAnswer: 20292118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1777000 rounded to the nearest ten thousand?\nAnswer: 1780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 58*k**2 - 586*k + 13. Let t be f(13). Factor -8\/7*p**2 + 4\/7*p**4 - 8\/7*p - 2\/7*p**5 + 6\/7*p**3 + t.\nAnswer: -2*p*(p - 2)**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1702 + -11919\/7. Let v = -1 - -5. Suppose -v*j = -0*j + 4. Is o > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-66)\/(-55))\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes before 7:18 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*f = 9*f - 281 - 99. Suppose 4*k + 11 = 3, 4*k + 13 = w. What is the least common multiple of f and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19956589 divided by 29\nAnswer: -19956589\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66287036 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9661*u + 9667*u + 8 - 1 - 5 - 2.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42790 and 124501784.\nAnswer: 622508920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.795056 times -3?\nAnswer: -2.385168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (66 - 52)*118\/(-1). Is -1*(40\/(-8) + g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01494295 rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*j - 2 + 10. Let s(m) = -m**3 + m. Let k be s(j). Put -11, -2\/5, k in descending order.\nAnswer: k, -2\/5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -2\/3*j**3 + 0*j**5 + 0*j**2 + 0*j**4 + 4 + 1\/2*j**6 + 0*j. Find the third derivative of h(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-4)*(-20)\/6. Suppose -2*o + f - 3 = -4*o, -5*f = 5*o + g. What is the remainder when 15 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 336, 8, 13, 2, -1, 5 in decreasing order.\nAnswer: 336, 13, 8, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -403.68 - -420. Let u = -18 + q. Let c = u + -8.62. What is c rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -8395*k**2 - 3613*k - 120. Let b(s) = 16791*s**2 + 7229*s + 210. Let p(w) = 4*b(w) + 7*x(w). What is the second derivative of p(o) wrt o?\nAnswer: 16798","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*m - 12*m - 7*m)*(-2*m + 5*m + 0*m + (m - 3*m + 4*m)*(3 + 3 - 4) - 3*m + 4*m + 0*m)*(4 - 4 + 1)*(5*m - 2*m + 2*m)*(3*m - 2*m + 0*m).\nAnswer: -400*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18 or -872?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -69*m - 299. List the prime factors of l(-84).\nAnswer: 23, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*y - 6176 - 792 = 0. Solve 0 = b - y + 129 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 5*p**3 + p**2 + 453*p + 901. Calculate v(-2).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -13) + (-2 - (-5 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6147533 + 5?\nAnswer: 6147540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -170 - -411. Let h = z - 86. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 75\/4 of a millennium?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -325957 divided by 2\nAnswer: -325957\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p**3 - 35*p**2 + p - 2015. Let n(z) = z**3 + 24*z**2 - z + 1342. Let h(l) = 8*n(l) + 5*t(l). What is the first derivative of h(w) wrt w?\nAnswer: -6*w**2 + 34*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 736 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuhrhhjjujrujuhjuj. Give prob of sequence uhhr.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -5134.\nAnswer: -1\/2567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - 7*o + 2. Let d be n(3). Let r = d - -15. Suppose 2*g + 2*x = -4, -2*x - 2*x = 2*g + 14. What is the remainder when r is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = 20*a - 24*a. Let z be (-4 + (5 - 1) - 4) + a. Solve z = b - i + 3*i - 6, 0 = 5*b - 5*i - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70, -144, -218?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1 - (-1022)\/7*1. Let u = h + -100. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 19, 27, 57, 121, 231, 399?\n\"Answer: 2*l**3 - l**2 - 3*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvvvvvvvvl. What is prob of picking 1 v and 1 l?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198336?\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16\/(-16))\/((2 + -1)\/29). Let f = -27 - p. What is the remainder when 6 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 21 - 23 + 12 - 5*h. Let q be t(4). Let s(y) = 2*y + 13. Calculate s(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 5, 34\/7, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.7906437 milligrams?\nAnswer: 0.0007906437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-6))\/((1\/21)\/((-148)\/518))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -m - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -3*n. Let f(u) be the third derivative of 11*u**4\/12 + 2*u**2 + 3491*u. Give f(j(r)).\nAnswer: -66*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1384 + -1248. Calculate the remainder when 266 is divided by b.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 705, 695, 687, 681, 677, 675, 675?\n\"Answer: d**2 - 13*d + 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 - 764013025.3276.\nAnswer: -764013040.3276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = v - 0*v - 4*p, -4*p = -3*v - 12. Let r = -5.883 + 6.3. Let z = r - 4.417. Which is the biggest value?  (a) -1  (b) v  (c) 26  (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x + 3. Suppose o - 19 = -0*o. Suppose o - 44 = -5*n. What is i(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b - 12. Let i be (-16 - -17)\/((-2)\/(-20)). Let r be p(i). Let o = r - -2. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*a**(-8)))\/(a*a\/a**(-2)))\/(a\/(a\/(a\/a**(1\/3)*a)*a)*a*a*a**9*a*a) assuming a is positive.\nAnswer: a**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the second derivative of u**4\/2 + 7*u + 6. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 9*j**2 - 39*j + 272. Give m(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + 1136 - 597. Calculate the greatest common divisor of 203 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1 + 2 + sqrt(2) - (2*sqrt(20) + sqrt(20))\/sqrt(10)) + -5 + (sqrt(2) - sqrt(10)\/sqrt(5))*-4)*-4 + 3 + 0)**2.\nAnswer: 304*sqrt(2) + 489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 0 - 17)*((-1 + 0 - 1)*(0*x - x - x) + 7 - 7 + 4*x).\nAnswer: -200*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38862*q**3 - 77661*q**3 + 38797*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 8*p - 3. Let l be c(-7). Suppose 0 = -l*n + 103 + 105. Let j be (-4)\/((-16)\/n) - -1. Solve 24 = -2*m + 5*b, j = 2*m + 4*b + 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*h - 17. Suppose -26 = 4*i - 0*i - s, 14 = -2*i + s. Let t = 6 + i. Solve t = -5*r + h - 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*s + 410 + 350. Calculate the highest common factor of 120 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171083015 is divided by 552.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-1 + (sqrt(18) + 3)*-2 - (5 + 2 + ((2 + sqrt(2))*2)**2 + sqrt(2))).\nAnswer: -40 - 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k + 19. Let w be p(16). Suppose -3 = w*g - 57. What is the smallest common multiple of g and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -4*z. Let k(p) = -3*p**2 + p**2 - 2*p**2 + 5*p**2. Calculate n(k(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10766 and 7690?\nAnswer: 53830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -3*p + 5*b + 109, -205 = -5*p + 2*b. What is the common denominator of p\/8 - (-1)\/2 and -5\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3019*l**2 + 523 with respect to l.\nAnswer: -6038*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 8:21 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, q: 2, t: 3}. Give prob of sequence qktk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.1 - -3.5. Let j(d) = 5*d**2 + 10*d - 1. Let v be j(-2). What is the closest to 3\/4 in 3, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18*i**3*t**3 - 2*i**2*t**3 - 2*i**2 - 336*i*t**3 wrt i?\nAnswer: 108*i*t**3 - 4*t**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**1\/c*c)\/c**0*c**4\/(c**(2\/3)*c))**(-3\/14) assuming c is positive.\nAnswer: c**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 3*g - 1 + 16 = 0, 27 + 37 - 54 = -5*t - 2*g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(0 + sqrt(117) + 5)**2.\nAnswer: -142 - 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*c**3\/5 + 12*c**2\/5 + 18*c\/5 + 8\/5.\nAnswer: 2*(c + 1)**2*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 51461789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-58 + 13*p + 58)*(-p**2 + 3*p**2 + 0*p**2)*(9 - 12*p - 6 + 8*p) to the form w*p**4 + t*p**3 + x + o*p + b*p**2 and give t.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5542 + 127487\/23. Let r = -162\/253 + m. Suppose 0 = -8*l + 4*l. Are l and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p**2 + 3*p - 3. Let l be a(2). Let b be ((-15)\/12)\/(l\/40). Suppose 2*q - q = b. Calculate the remainder when q is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 461 divided by 6.\nAnswer: 461\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of -w**4\/8 - 27*w**2. Suppose -4*i = -4*k + 8, -2*i + 2*k - 12 = -2*k. Let q(t) = t**i + 3*t**2 - t**2. Calculate q(a(h)).\nAnswer: 27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 735 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 7*r - 6. Suppose r*n - 4*f - 20 = 0, -2*f - 26 = -3*n + 3*f. Let a be (-1)\/1*(1 - 16). Solve -u + a = n*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = 3*o - 65, c + c = -2*o + 30. Suppose -c*t = -6*t - 36. Let n = 11 - t. Solve n*m + 2 = -5*a - 27, 5*m + a = -15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30604848 and 1176?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.019  (b) 1216  (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -239, -206, -187, -188, -215, -274, -371, -512?\nAnswer: -703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3325412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 2*w**3 - 4*w + 3*w**2 + 3*w - w**3 - 7. Let x be l(-3). Let z(d) = d - 1. Let o be z(-1). Is x greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 + u**2 + 1. Let g(w) = 50*w**3 - 38*w**2 - 38. Let s(y) = -17*y**3 + 13*y**2 + 13. Let r(k) = 3*g(k) + 10*s(k). Give -16*d(f) + r(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 8792, 17497, 26184, 34847, 43480, 52077?\n\"Answer: -o**3 - 3*o**2 + 8721*o + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 divided by 1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18286 is divided by 18097?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 375 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 16*t - 66. Determine x(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 587 divide 17400441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = r + 2, -4*w + 35 = 5*r. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37402 - -53100. Let b(v) = -x + 15698 + v. Let j(d) = -d + 2. Let l(z) = -1. Let h(i) = -3*j(i) - 8*l(i). Give b(h(g)).\nAnswer: 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46*j**3*t**2 + 2*j**3 - 3*j*t - 2*j - 5*t**2 wrt j?\nAnswer: -276*j*t**2 + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28335 and 780?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -248, -568, -1112, -1892, -2920, -4208?\n\"Answer: -2*c**3 - 100*c**2 - 6*c - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 46*v*y**4 - 13*v*y**3 + 3883*v*y**2 - 169*v + 123*y - 170 wrt y.\nAnswer: 552*v*y**2 - 78*v*y + 7766*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 44 = 16. Suppose 0 = 4*t + j - 13, -q = -2*t - 0*j + 2*j. Suppose -f = -2*f + t. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**3 - f**2 + f + 1. Suppose -4*c = -13*c + 9. Let a(l) = 3 - 4*l - 3*l - l**2 + l + 5*l. Calculate c*b(x) - a(x).\nAnswer: x**3 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -32636 by 32636.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is i in i**4\/2 - i**3 - i**2\/2 + i = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7154, -7152, -7150, -7148, -7146, -7144?\nAnswer: -7142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 3:57 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*b**5 - 225*b**4 + 225*b**4 + (2*b**4 + 0*b**4 - 4*b**4)*(4*b - 2*b - 4*b) + (2*b**4 - 7*b**4 + 2*b**4)*(-4 - 2*b + 4) + 3*b**5 - 2*b**5 + 0*b**5.\nAnswer: 49*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -163*j + 3 + 299*j + 14*j.\nAnswer: 150*j + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(133) + -3*sqrt(133)))\/(-2*sqrt(28)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 - 33. List the prime factors of 11\/(-4)*(l - -1).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(700))*-1.\nAnswer: -10*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 104*s - 31. Let w(p) = -p + 1. Let c(o) = -6*w(o) + y(o). Is c(36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 232913.\nAnswer: 89, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 71738?\nAnswer: -286952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (7\/14 + (-2)\/(-4))\/(-1). Let j(w) = -6*w + 1. Let m be j(b). Find the second derivative of -23*y + 9*y - 17*y**3 + m*y wrt y.\nAnswer: -102*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (-88 - -112)) + 14 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*h + 15*h + 24. Suppose -14*w + 68 = -h*w. What are the prime factors of w?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -30707?  (a) 3\/7  (b) -7  (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:34 AM and 8:46 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 211354 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 PM and 3:40 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 1, c: 3, p: 2, d: 4, q: 7}. Give prob of picking 1 k, 1 q, and 2 p.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - 3. Let w be (-4)\/(-20) + (-28)\/t. Solve w*l - 5*f + 19 = 0, -15 = 3*l - 3*f - 0*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4300 is divided by 1431?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -10008.78 and 2.6?\nAnswer: -26022.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6630*q - 6624*q + 13252*q - 431.\nAnswer: -2*q - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 80671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7 - (-1 + -6 - 3 - (36 - 91 - -117))\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 332 = -2*w - 2*w. Let j = w - -136. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h - 8. Let x be q(-8). Factor -4\/5*c**3 + x + 1\/5*c**4 + 0*c + 4\/5*c**2.\nAnswer: c**2*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2293597243?\nAnswer: 7, 2003, 23369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4102.\nAnswer: 2, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -61 - -13. Let g = u + 51. Suppose -g*j = -26 + 2. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5394464.\nAnswer: 2, 29, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*d - 10*d + 3*d**3 + (0*d - 4*d + 2*d)*(-d**2 + 0*d + 0*d) - 1 + 1 + d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -3, -4, -80 in ascending order.\nAnswer: -80, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 996808*f*i**3 - 1939271*i**3 - 2*i wrt f?\nAnswer: 996808*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 13 + 107*o - 1 - o**2.\nAnswer: -o**2 + 107*o + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 - (-1)\/2*-8. Which is the nearest to -2\/3?  (a) i  (b) 4  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.86224759 rounded to three decimal places?\nAnswer: -1.862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(((0 + sqrt(432))*5 - (sqrt(432)*-1 + 4)) + 3*2*-2*sqrt(432)) + -3)**2.\nAnswer: 23328*sqrt(3) + 560601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.04939*0.2\nAnswer: 0.009878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (-4 + 10) - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 PM and 3:11 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*y + 2*s + 10, s - 3 = -8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**2 + 8*w. Suppose -q = -5*m + 13, 2*m - m = 3*q + 25. What is z(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 7, h: 3, n: 2, v: 3}. What is prob of picking 1 n, 1 h, and 2 v?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cce when three letters picked without replacement from {y: 1, d: 1, e: 1, z: 1, i: 1, c: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-85 - -85) + (0 - (1 - -3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0\/1)\/((-56)\/28))\/(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2. Let f(x) = 5062427*x. Calculate a(f(c)).\nAnswer: -25628167130329*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 105244197 to the power of 1\/2, to the nearest integer?\nAnswer: 10259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 3)*(2*k - 3*k + 3*k)*(30400 + 19381 - 13107 - 4005 + 16548).\nAnswer: 98434*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2737157211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -138a - 196a9?\nAnswer: -1aa77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vhhvp. What is prob of sequence hhpv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 182 = -152 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/834075 and 131\/15013350.\nAnswer: 15013350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 386484 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*h + 39*h + 22*h)*(6*h**2 - 5*h**2 - 3 + h**2).\nAnswer: 114*h**3 - 171*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8072 - -8071. Put 5, i, -2, 2\/5 in decreasing order.\nAnswer: 5, 2\/5, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:16 AM and 10:14 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 PM and 1:14 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (0 - (8 - 7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -0.3. Let r = -61 + 28. Let o = 33 + r. Put o, z, -6 in increasing order.\nAnswer: -6, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 164 = 2*u + u, -227 = -4*u - 3*j. Let t = u + -44. Let q be (7 - t\/3) + -2. What is the nearest to q in -5, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 10*m**2 + 19*m - 20. Calculate x(-11).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -1. Let n = 119 + -118. Sort -5, n, y in ascending order.\nAnswer: -5, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -i**2 + 224*i - 1308 = 0.\nAnswer: 6, 218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*b + 50*b = 0. Suppose -q + 1 - 3 = b. What is the nearest to -0.1 in 2\/13, 13, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**3 + 200*h**2 + h - 52. Determine v(-40).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14225857 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2009\/3 - -669. Let x(h) = -h - 1. Let o be x(-1). Which is the closest to o?  (a) 0.5  (b) s  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of -k**5\/20 - k**4\/4 + 5*k**3\/6 - 2*k**2 + 46*k. Calculate s(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 207.596 - 207. Let i = 1.796 - a. What is the third biggest value in i, 5, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1618542 is divided by 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 382610820 to the power of 1\/2, to the nearest integer?\nAnswer: 19560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20 + -15. Suppose 12 = -4*z + 5*x, -5*z - s*x - 1 = -31. Suppose 1978*t + 32 = 1986*t. Solve 8 = -z*p + t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v + 16. Let w be a(-7). Let g(b) = 3*b**3 + b**2 - 2*b + 6. Let r be g(w). Is (-22)\/(-55) - 3\/(r\/(-21646)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 681, 762, 1057, 1704, 2841?\nAnswer: 4606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 298 + -296. Let w be (-5)\/4 + 2 + 0. Is w at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -2) + 0 - (1 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15 and 265?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126952 and 2856.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 802124.\nAnswer: 2, 41, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47008 is divided by 542.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence meme when four letters picked without replacement from {k: 2, h: 6, m: 3, e: 2}.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/19)*r**(3\/2)\/r*r**(4\/3)\/(((r\/(r*r*r\/r**(4\/7)*r)*r)\/r)\/r))**(7\/3))**(-1\/8) assuming r is positive.\nAnswer: r**(-4115\/2736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 26118378283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o**3 + 272*o**2 - 4044*o + 9792 = 0 for o.\nAnswer: 3, 17, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes before 10:29 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 335\/33 - 25\/3. What is the closest to -1 in 1\/11, q, -5?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 5*w = -210, 0*w - 42 = -s - 5*w. Let a = -5 + s. Is a a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -0*i - 3*x - 20, -16 = -2*i + 5*x. Let t be (i\/(-15))\/(8\/10). Suppose 0 = -3*d + 63 - 69. Which is the closest to 1?  (a) d  (b) t  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*z - 3*z**3 - 5*z + (-46 + 46 + 16*z**2)*(-3 - 5*z + 3) to q*z + a + y*z**3 + l*z**2 and give y.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, t: 17}. Give prob of picking 2 v and 1 t.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/5250 and 103\/110.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 8*g + 338. Calculate c(-43).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -206 - -214. Let b(p) = 13*p**2 + p. Calculate the remainder when b(1) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*a**4 - 2950*a**3 - 32820*a wrt a?\nAnswer: -48*a**2 - 17700*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -7. Suppose -p = j - h, -3*j - 2*h + h + 2 = 0. Let r = -2 - -5. Which is the second biggest value?  (a) -0.3  (b) j  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**5\/30 - 5*i**3\/6 + 21*i**2. Let v(w) = w. What is v(d(a))?\nAnswer: 2*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 844 - 38489 = -909*z + 21197 + 22968 for z.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1728.632 + 1741. Let z = -0.268 + t. Let l = z + -12. Which is the second biggest value?  (a) 0.2  (b) -0.2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 - c. Let i(f) = 3*f**3 + f**2 - f. Suppose 0 = 3*s - r + 5, 0 = -5*r - 4 - 1. Calculate s*g(y) - i(y).\nAnswer: -y**3 - y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*n**2*q - 4*n**2 + q**2 wrt q.\nAnswer: 11*n**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41754*t + 19893*t + 42160*t + 43344*t.\nAnswer: 147151*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*c + 14 - 33*c - 30*c + 92*c in the form u + j*c and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 - 9*f**2 + 12*f + 13. Determine u(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 4:30 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58580 = 3*n + 5*b - 9*b, -3*n + 58587 = -3*b. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1695 (base 15) to base 8.\nAnswer: 11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-12)\/(z*z**(9\/2)*z)*(z*z\/((z**(1\/3)*z)\/z))\/(z*(z*z*z**(1\/6)*z*z)\/z) assuming z is positive.\nAnswer: z**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2\/5 - 198*b\/5 + 41612\/5.\nAnswer: -2*(b - 103)*(b + 202)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 m when four letters picked without replacement from {m: 3, l: 9}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (269 + 26*p**2 - 269)*(p**2 - 8*p**2 + 0*p**2) + (p**2 + 0*p + 0*p)*(0*p**2 + 2*p**2 - 3*p**2) as f*p**3 + l*p**2 + k*p + v*p**4 + h and give v.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Do 52781465 and 52781464 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-9)*s**(-7)*s)**(16\/5))**(-3) assuming s is positive.\nAnswer: s**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.2 + -4.8. Let m = k - -5.1. Which is the smallest value?  (a) -1\/5  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -9389.\nAnswer: 4\/9389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.479 * 0.4.\nAnswer: -0.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-28)\/(-24))\/((-175)\/(-75)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2471602 (base 8) to base 12.\nAnswer: 290456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 8132 - 8104. What is the remainder when 340 is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from lylyylyyyyl?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 2 t, and 1 i when four letters picked without replacement from dffhhfditrtfftfff?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + 17 = 4*c - 0*i, 11 = 3*c - 2*i. Let m = 2.01 - 0.01. Let z = 2.4 - m. What is the third smallest value in c, z, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 23 and 6831.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (5 - 1 - (12 + (-8 - 14)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*n - 487 + 862 = 0 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 3*v + 248 = 0, 5*q - v - 903 = 289. Is q at most 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**3 - b**3 - 2*b**3 + 0*b**2 - b**3 + 0*b**2 + (2*b - 1 + 1)*(b**2 + 3*b**2 - 2*b**2) + 247*b**2 - 51*b**3 - 247*b**2.\nAnswer: -47*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 4*f**2 - 5*f + 3. Let v be n(3). Let i be 8\/12 - 10\/v. What is the units digit of i\/12 + 4\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3)\/(-7) + -2*(-30)\/(-84). Suppose -5*w + 0*w = -5*a - 10, 5*a + 37 = -4*w. What is the smallest value in l, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4467 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 7:29 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1668*z**2 + 2*z + 4869*z**2 + 5 - 1594*z**2 - 1603*z**2 - 2*z.\nAnswer: 4*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 46232, 0, 0.0324?\nAnswer: 0.0324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -34035150 (base 6) to base 9.\nAnswer: -1841813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 134 + -141. Let k be (0 - -1)*(5 - 11 - m). What are the prime factors of k*-1*(-637)\/7?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -147*f**5\/2 - 721*f**4\/2 - 482*f**3 - 194*f**2 - 24*f = 0.\nAnswer: -3, -4\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4416062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -y**3 + 5*y**2 - 3*y + 4. Let w(n) = -3*n - 7. Let v be w(-4). Calculate the smallest common multiple of u(4) and 1\/((v\/(-130))\/(-1 + 0)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010010001001101 + 101011001?\nAnswer: -1010001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*g*i*m**2 + 7*g*i*x - 4139*g*m**2 + 141088*g*x - 202*i + 15*m**2*x wrt x?\nAnswer: 7*g*i + 141088*g + 15*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.915 - 0.865. Which is the nearest to 0.1?  (a) -3  (b) 13  (c) y  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 196*i = -144*i. Solve 9\/2*f**3 + i - 3\/2*f**5 + 0*f**4 - 3*f**2 + 0*f = 0 for f.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eddeeeeee. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 - -3.5. Put 2\/13, -1\/6, y in increasing order.\nAnswer: -1\/6, 2\/13, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -727*f**3*l**3*t + 138*f**3*l**2 + 2*f**3*l*t + 8*f**2*l**2*t + 18*f*l**3*t + f*l**2*t wrt l?\nAnswer: -4362*f**3*t + 108*f*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4844 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-12 - (-19 - -10))*(2 - 5))\/1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + 3 + sqrt(112)*-2 - sqrt(112) - (sqrt(112) - -3*sqrt(112)*-1))**2 - (2 + -2*sqrt(112))*5.\nAnswer: -1 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -3*k**2 - 747*k - 2214 = 0.\nAnswer: -246, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**2 - 4*a - 1. Let x be z(5). Suppose 2*v - 16 = -4*g, -v = -x*v - 5*g + 29. Let l = 14 + -4. Calculate the remainder when v is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3430 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: Suppose 2*w**5\/3 + 139*w**4\/3 - 1996*w**3\/3 + 4387*w**2\/3 - 3352*w\/3 + 820\/3 = 0. Calculate w.\nAnswer: -82, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7884.659 + -7885. Is -1 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3 - 1546) + (-45)\/(-63)*7. Are j and -1533 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 20774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 37, 115, 237, 397, 589, 807?\n\"Answer: -v**3 + 28*v**2 + v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12 (base 8) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -36 + 7. Let m = i + 46. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -67806 and -35857.919.\nAnswer: -103663.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5242*k**2 - 547*k - 63 - 559*k + 5232*k**2 + 1106*k.\nAnswer: -10*k**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-12)\/(-378)*-7)\/(4\/6))\/(55\/16005).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 - -46. Suppose -3*v + f - 4*f + 81 = 0, -23 = -v - y*f. Suppose -3*o = -v - 11. What is the remainder when o is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - ((2 - -12) + -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**3 - 2*v**2 + v. Determine x(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -u**3\/3 + 9*u**2\/2 + 2*u + 4. Let i be k(9). Suppose 61 = 2*h + 5*x, -i*x + 59 = 2*h - 17. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -53174463, -106348926, -159523389, -212697852?\n\"Answer: -53174463*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (65\/(2730\/(-308)))\/(2\/(6\/1))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5*-2 - -1)*2\/(-6). Suppose -2*z = s - 231, 0 = i*z + 2*s - 4*s - 357. What is the remainder when z is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 2*r**2 + 40*r. Let p(l) = 64118*l. What is q(p(g))?\nAnswer: 8222235848*g**2 + 2564720*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381*p + 387*p + 4*u + 2 = 0, 2*u + u - 12 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**2 + 7*j - 6. Let l be t(-8). Suppose -2 = l*p - 4*p. Suppose 2*q = -i - 2, 3*q + 3 - 6 = -3*i. Solve 3*u = -i*f + 17, 0 = 4*f - u - p - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -306\/25 greater than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/(sqrt(44)\/(1*sqrt(11))) - sqrt(44)\/sqrt(324).\nAnswer: 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9328634 is divided by 31730?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 10*j + 1. Let s(o) = -19*o - 2. Let t(q) = -6*a(q) - 3*s(q). Suppose 0 = 4*z, 3*z = -4*h + 6 + 2. Let n(l) = -4 - 19*l**2 + 2 + h. Give t(n(k)).\nAnswer: 57*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24392 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m\/(m**(-2\/15)*m*m)*m*(m**(2\/5)*m)\/m*(m**(-3)\/m)\/m*m**1*m assuming m is positive.\nAnswer: m**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u - l = -3*l + 36, 0 = -5*u + 2*l - 45. Let n(k) = -k - 4. Let f be n(u). What is the second derivative of -4*q - 4*q**5 + 2*q + 2*q**f wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 37*c - 31*c + 330. Let a(q) = -q**3 + 5*q**2 - q - 2. Calculate a(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-1)\/36*-78)\/((-9)\/4) + 1. Let j(h) be the second derivative of 1\/9*h**5 - w*h**3 + 14*h + 0 - 7\/90*h**6 + 0*h**2 + 1\/36*h**4. Solve j(r) = 0 for r.\nAnswer: -1\/3, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 516499861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6495 = -35*c + 1665. Is -137 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 590\/72621 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 539220217.\nAnswer: 1031, 523007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 584*p = -29569 + 2705 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 + 18 - 3*v**3 - 2*v**4 + 0*v**2 + 0*v**4 - 7*v**2 + 7*v**3 in the form w*v**3 + g + c*v**4 + r*v + q*v**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-325)\/(-26))\/(-25)*(-4)\/(-26)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -50, -69, -80, -77, -54?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + -5 + 7 + -3 + -4 + (-105 - -65).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -l**2\/2 + 3. Let q(s) = 0*s - 3*s + s. Give q(g(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20020, -80065, -180114, -320131, -500080?\nAnswer: -719925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 12 - 83\/2. Find the common denominator of k and 93\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 74\/16 - 126\/(-336). Solve -u*x + 2*w = -8, -4*x = 5*w - 24 + 44 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((23\/138)\/(2\/(-30)))\/((-102)\/(-68))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/9*5*7\/(735\/(-84)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7463898.\nAnswer: 2, 3, 13, 167, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9063*w**3 - w**2 + 28574 wrt w?\nAnswer: 54378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 2*y**2 - 6*y - 7. Let m be k(5). Let c(j) = 25*j**2 + 4. Let x = 78 + -80. Let t be c(x). What is the highest common divisor of m and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-544)\/60 - (-22)\/330.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -218 divided by 49170.\nAnswer: -109\/24585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-3\/2)\/u)\/u)\/u**(-6)*(u**(1\/5))**(-47) assuming u is positive.\nAnswer: u**(-59\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 16624.926 minutes in hours?\nAnswer: 277.0821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -108 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.453 + 0.033. Let x = 454 + -455.4. Let k = -2.4 - x. Is k at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 213440 divided by 2\nAnswer: 106720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 11:53 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -0.4  (b) -0.1  (c) 346  (d) -3  (e) 912  (f) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from bsseudsbddbbb?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - w + 12 = 0. Suppose -5*h + 281 = 271. Put h, -3, w in descending order.\nAnswer: h, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 - -4) + -196 + 238.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 22493, 45657, 68823, 91991?\n\"Answer: m**2 + 23161*m - 669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**2 + 2593*a + 838907. What is p(-676)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssslslssssl. Give prob of picking 3 s.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 110010101110111100111011 (base 2) to base 5\nAnswer: 11401041030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -4. Let h = 11 + -9. Let i be 7\/(-42) - h\/(-60). Put 4, i, c in decreasing order.\nAnswer: 4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (68\/12)\/(((-1029)\/(-63))\/49)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 128*v**4 - v**3 + 4*v**2 - 3927*v wrt v.\nAnswer: 1536*v**2 - 6*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -31518, -126449, -284668, -506175, -790970?\n\"Answer: -31644*k**2 + k + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 + 5)\/((-4)\/4). Let y be (-14)\/70 - 26\/m. Suppose x - 356 = -u + 2*x, 3*u - 1060 = -y*x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3026 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = x**3 + 9*x**2 + 9*x + 3. Give i(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-18)\/8)\/(15\/(-40)). Let w be 3\/(-3) + 1\/((-2)\/m). Is 7 a factor of 2 + w - (0 - -3 - 43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 11 + 0*w**3 - 5 + 6 + 9*w**2 - w**3 - 2*w. Let o be a(9). Let d = 2 + -7. Is o at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 261.7813 milligrams to kilograms.\nAnswer: 0.0002617813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 8 + i + 17 - 32 + 8. Let k(d) be the first derivative of -d**3\/3 - d**2 - 2*d + 2. Give -3*k(o) - 6*q(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 - 17*g**2 + 12*g + 12. Let p be w(-8). What is p rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 4*i**2 - 3*i. Let r(x) = 5*x**2 - 4*x. Let c(h) = -4*b(h) + 3*r(h). Let o(u) be the third derivative of 11*u**5\/30 + u**2. Determine c(o(s)).\nAnswer: -484*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47324?\nAnswer: 2, 11831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (6*((0 + (sqrt(242) - (2 + sqrt(242)) - sqrt(242)) - (1 + sqrt(242) + 1)) + (sqrt(242) + -2 + 0 - (sqrt(242)*-1 + sqrt(242) + -3))))**2.\nAnswer: 2376*sqrt(2) + 9031","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -272697633*l**4 + 57815840*l**2 - l wrt l.\nAnswer: -6544743192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 6:04 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 708?\nAnswer: -1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 268513, 268511, 268509, 268507?\nAnswer: 268505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 21 = -20*y + 46*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1970 is divided by 117?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 28*s - 24*s - 180. Let h be -4*(s\/(-12))\/3. Solve -5*q - 1 = h*d + 9, 4*d + 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2294.0156 - -4155.97428. Let g = 1862 - m. Let j = -0.04 + g. What is j rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 605229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23169302?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.6 times -71?\nAnswer: -5935.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 34*o**3 - 2*o**2 + 7*o + 5. Let p(k) = -17*k**3 + k**2 - 3*k - 2. What is -10*p(f) - 4*x(f)?\nAnswer: 34*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3404*m + 3412*m + 3404*m + 57 - 10213*m. Suppose 0 = 5*t + 24 + 11. Let w be y(t). Solve -4*u = -0 - w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1618619, 1618703, 1618787, 1618871, 1618955?\n\"Answer: 84*k + 1618535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 12, 6, 416, 1\/12, 4.\nAnswer: 0, 1\/12, 4, 6, 12, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2 = c + 3*v, 4*c - 4*v = 4. Solve 1 = u - c*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -9*n**2 + 21*n - 7. Let m(z) = -z**2 + 6*z - 13. Let v be m(9). Let y = v - -41. Let o(u) = -u**2 - u + 1. Let w(t) = y*a(t) + 5*o(t). Factor w(b).\nAnswer: -2*(b - 1)*(7*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6749.963 nanograms to kilograms.\nAnswer: 0.000000006749963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rarr when four letters picked without replacement from rarrrarraarrra.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/6 - 30437369*w + 182624213\/6.\nAnswer: (w - 182624213)*(w - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 4*x**3 + 2)*(2*x**2 + 0*x**2 - x**2).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13041)\/644*((-32)\/12)\/2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -5*m + 3*s + 19, 0 = -3*s - 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3.4  (b) 5  (c) -2\/7  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -3*g**2. Let f(u) be the third derivative of 4*u + 15\/8*u**4 + 0*u**3 + 0 + 8*u**2. What is f(q(d))?\nAnswer: -135*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = l + 18. Let q be b(-13). Suppose -2*v = -q*v - 4*t - 13, t = 3*v - 7. Let a be v*0*3\/(-9). Solve -3*z + 5*z + 4 = a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 8:51 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01009 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0\/(-2))\/(-1))\/(4\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -2*i + 65. Let q = -8 + i. Suppose 2*z = 5*k - 164, -q*k + 46 = -4*k + 4*z. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 = 4*p + 2*l, -l = -3*p - 0*l + 126. Suppose p*f = 46*f - 90. Calculate the remainder when f is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -545, 2, 9, -4, 3, 6 in ascending order.\nAnswer: -545, -4, 2, 3, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/7015 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of 0*u + 0*u**3 + 0*u**4 - 7\/60*u**5 - 6*u**2 + 0. Let w(f) = 2*f**2. Determine w(d(m)).\nAnswer: 98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 141012710 to the power of 1\/3, to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1226 + 632 = 9*y + 8*y + 16*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2743\/5 + 549. Sort 26, 0.1, 2, k in descending order.\nAnswer: 26, 2, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40\/7 - 221\/35. Put m, 2\/23, 0.2 in decreasing order.\nAnswer: 0.2, 2\/23, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2. Let u(a) = 7*a - 5. Suppose -5*x - 19 = -3*i, -5*x + 2*x + 5*i = 5. Let f(r) = 4*r - 3. Let z(j) = x*f(j) + 3*u(j). What is z(s(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 9875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -58*s**3 - 2*s**2 - s - 2. Let o(n) = -57*n**3 - 3*n**2 - 2*n - 3. What is 3*f(l) - 2*o(l)?\nAnswer: -60*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) 633  (b) -4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -17 + 20. Suppose -p + 405 = -u*r - 801, 2*r - 5996 = -5*p. 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: Convert 3150.978 months to years.\nAnswer: 262.5815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 15449.402272 rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, g: 11}. Give prob of sequence ggn.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**3\/19 - 271620*z**2\/19 - 9222178050*z\/19.\nAnswer: -2*z*(z + 67905)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 40 + 8. Let p = g + -8. Suppose -3*v - 2*x = -41, p*v - x + 5*x = 56. What is the remainder when 24 is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/2 + 9*h**3\/2 - 54*h.\nAnswer: h*(h - 3)*(h + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 0*c - 6 = 0, 14 = 2*t + 2*c. Suppose -l + 2*l - 4*b = 29, 0 = l + b - t. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11738 - 11606. What is the greatest common factor of r and 3204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.5349899g?\nAnswer: 0.0005349899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -67859*m**5 - 3435*m + 9 wrt m.\nAnswer: -1357180*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1788420?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 4*a**2 - 241*a - 306. Calculate s(62).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 350572632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 19 + -9. Let t(s) = -3 - 12*s**2 + 7*s**2 + m*s + 7*s**2. What is the remainder when t(-9) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.06 + 0.02. Let c = 0.58 - y. Suppose -m - 7 = -3. Put m, 3, c in descending order.\nAnswer: 3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710 minutes before 9:02 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert abdd9 (base 14) to base 9.\nAnswer: 705115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 + 3*p)*(0*p + 2*p + p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71010.\nAnswer: 2, 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54\/(-252)*12\/(-9).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -8*s**2 + 10*s**2 - 1 + 2*s - 2. What is the units digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 10:16 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -7*t**2 + 5*t + 5. Determine d(3).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r - 4 + 4)*(0 + 0 - 4) - 3*r - 2*r + 4*r in the form z*r + u and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 93 + 6360dd?\nAnswer: 636181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 51?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 take away 5444?\nAnswer: -5444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 180.7449288 less than 0.048?\nAnswer: -180.6969288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13860\/(-80))\/(-33)*(-8)\/3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - -6. Let g = 19 - k. Let v(b) = -4*b**3 + 3*b**2 - 3*b + 4. Let q(m) = -3*m**3 + 2*m**2 - 2*m + 3. Let d(r) = 3*q(r) - 2*v(r). Give d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 13 by 3.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/((a*a*(a\/a**1)\/a*a*a)\/a)))**(-2\/9))**19 assuming a is positive.\nAnswer: a**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/((-175)\/40)*(-485)\/2. Let w = c + -234. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89 minutes before 8:03 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14842.6 + 4254.6234.\nAnswer: -10587.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24219994, -48439989, -72659984, -96879979, -121099974?\nAnswer: -145319969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -1*(0 + sqrt(7)) + sqrt(7) + sqrt(7)*1 + 1 + -5.\nAnswer: -3 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m**5\/3 - 2309*m**4\/3 + 6013*m**3\/3 - 1996*m**2\/3 - 572*m = 0. What is m?\nAnswer: -3\/8, 0, 1, 2, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/88021156 and -3\/2.\nAnswer: 88021156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*h - 5*h. Suppose -2*d - 4 = 2*d. Let r = 5 + -2. What is the third biggest value in d, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 + 2 - (9 + -8 - 0)) + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of -x**4\/4 - 4*x**3\/3 - 3*x**2\/2 + 3*x - 2. Let t be m(-3). What is the second derivative of 2*g**t - g + 7*g - 2*g - g wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 minus -0.3?\nAnswer: -65.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.896 and -0.2.\nAnswer: 0.696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 173, 185, 197, 209, 221, 233?\n\"Answer: 12*n + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**3 + 3*u**2 - 3*u - 2. What is n(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 734414?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 142\/(-36) + (6\/27 - 0) and 121\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 4*l. Let n(v) be the third derivative of -v**5\/60 + 6*v**2. Give n(p(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 - 8 = -4*z. Let v(o) = -o - 1. Let d be v(z). Let g be -1 - (2 - (-5 + 0 - -1)). Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -8587, -8519, -8451, -8383, -8315, -8247?\n\"Answer: 68*a - 8655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11285 is divided by 285.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**2 - 42*g - 21. Is 6 a factor of l(-41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 4:25 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i**3 - 16*i**2 - 6*i - 48. Let k be c(-8). Suppose 2*s - 4*y - 3570 = k, s + 840 - 2610 = 5*y. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the first derivative of v**4\/4 - 2*v**3\/3 + v**2 - 4*v - 2. Let d be 1\/(-3)*(-39 + 9). Suppose -4*f + 4*t + 18 = t, -2*t = -2*f + d. Calculate j(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 - 2*r**3 - 2*r**3)*(-3*r - 2*r**2 + 3*r) - 2*r**5 + 3*r**5 - 2*r**5.\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8686034 - 0?\nAnswer: -8686034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 70724802?\nAnswer: 2, 3, 19, 620393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 600, -4 in ascending order.\nAnswer: -4, 16, 600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 114788 and 4.768788.\nAnswer: 114792.768788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -55540114?\nAnswer: 55540111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3\/7, 513, 4, -33.4?\nAnswer: -33.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - -3) + 2 + -3 + 2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5697 divided by 521\nAnswer: -5697\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 3\/32 of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**2. Let x(c) = -128*c. Give x(s(k)).\nAnswer: -384*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 0.5  (b) -17  (c) 0  (d) 0.042  (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k + 3*k - 6*k)*(-1 + 3 + 0)*(-3 + 2 + 4)*(-4 + 0 + 3).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 904 and 24.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 1935?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 AM and 11:05 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) be the third derivative of 5*k**2 - 1\/20*k**5 + 0*k**4 + 0 + 0*k**3 + 0*k. Let h(n) be the third derivative of -n**4\/24 - n**2. Give h(r(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 6109521979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*y + 30, y = -2*j + 2966. What are the prime factors of j?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 2*o + 2*o)*(0 - 2 - 1)*(1498 - 3145 + 1552)*(-1 + 1 + 1).\nAnswer: -285*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -197\/34770 and 49\/7370.\nAnswer: 25625490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-33)\/231 - 34\/7 - -11. Solve 0 = 7*q - d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -37361\/4 + 9338. Which is the closest to 1?  (a) -1\/10  (b) -1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15417 and 131517.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31\/(-2108)*17*2*(1200\/(-3))\/(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*g - g**2 + g - g**2)*(-35*g + 615 + 13*g + 20*g) in the form x + k*g + d*g**2 + p*g**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 859672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -966863*o**4 - 276730*o**2 + o wrt o?\nAnswer: -23204712*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -26, 12.\nAnswer: -26, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 10*y + 121. Determine j(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -2*r**2 - 29*r + 2. Let n(w) be the first derivative of -w**3\/3 - 15*w**2\/2 + 2*w - 32. Let u(k) = -6*b(k) + 11*n(k). Give u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37 - 27. Suppose -2*g = -i - 6. What is the second derivative of z**3 - g*z**5 + 3*z**5 - z**3 - 10*z wrt z?\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (216\/98)\/((-4)\/(-14))*2030\/(-580)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -419862 divided by 381?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f*(f\/(f**(-1)\/f)*f)\/f*f))**4*(f**(-1)\/f)**(-16)*(f*f**(-3\/2)*f)\/((f\/f**3)\/f*f)*((f*(f*f**(1\/4)*f)\/f)\/f)**(-7\/8) assuming f is positive.\nAnswer: f**(557\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((18\/(-24))\/(45\/40))\/(5\/30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1056)\/220*(-150)\/24.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 9*q = -18, -2*y - 126 - 131 = -5*q + 131 - 380 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 89355203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 502.6 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 86 + 33 = 5*g, 50 = -5*g + 5*y. Let c = -13 - g. Find the third derivative of 5*a**2 + 3*a**5 - 4*a**2 + c*a**2 - 4*a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30072*c = -30707*c + 18415 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-120)\/28)\/(((-39)\/(-273))\/(1\/13)).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3275\/18340)\/((-374)\/126 - 39\/(-13))?\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-42)\/(-49))\/((-15)\/315)*8\/(-32). Factor 0 + 3\/4*o**2 - m*o.\nAnswer: 3*o*(o - 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*m - 474*m + 38*m - 561*m + 255*m.\nAnswer: -849*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 51 = -4*j + 65, 0 = 4*j + 3*v - 111. Solve 0 = 4*g + 4*m - j, -2*m = -5*g + 3*g - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**2\/4 + 2849*s\/2 - 6659535\/4 = 0 for s.\nAnswer: -6693, 995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = -28 + 43. Suppose -b*w + 4*m + 46 = 0, 5*w = 2*w + m + 29. Let p be (-7 + 1)*8\/(-12). Solve -p*y = y - w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z**3 - 10*z**2 - 15*z + 22. Let s(u) = -6*u**3 + 19*u**2 + 30*u - 43. Let j(a) = -7*k(a) - 4*s(a). Suppose j(q) = 0. Calculate q.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 f, and 1 n when four letters picked without replacement from {n: 1, f: 3, q: 4, i: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1036 divided by -14506.\nAnswer: 518\/7253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -5*l. Let z(o) be the second derivative of 1\/6*o**4 + 5*o + 0 + 0*o**2 + 0*o**3. Determine z(p(x)).\nAnswer: 50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus 753.213?\nAnswer: -750.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 12\/(-9) + 4\/3. Suppose 5*q + q = p. Suppose q*x - 1099 = -x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185502830 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tzizztzzttzzttnzzctc. Give prob of picking 2 t.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*a + 4*y = -24*a - 101, -5*a = -4*y - 585. What is the remainder when a is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -5*v - 15, 3*v + 2*v + 3*h = -35 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 PM and 4:48 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*l**6\/l*l*l**(2\/3)*((l*l**12*l*l*l)\/l*l)\/l**(-11) assuming l is positive.\nAnswer: l**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -659 at least -3288\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 217369728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 92067.8 centuries?\nAnswer: 9206780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**50\/(k\/(k*(k**(2\/3)\/k*k)\/k)*k*k*k*k\/k**0)*k**(-28)\/(k**1*(k**(2\/13)\/k)\/k*k) assuming k is positive.\nAnswer: k**(683\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 6818 + -6595. What is the greatest common factor of 15164 and k?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(6*(5 + sqrt(288)*2))**2*-3.\nAnswer: 155520*sqrt(2) + 762696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -259*u**5 + 24*u**4 - 10*u**5 - 23*u**4 + (-3 + 2*u + 3)*(-1 + 1 - u**4).\nAnswer: -271*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, o: 1, e: 10, z: 1, k: 6}. Give prob of picking 1 k and 1 z.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 105, 221, 341, 465, 593, 725?\n\"Answer: 2*n**2 + 110*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39047, -32153, -25259?\nAnswer: -18365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -6 - 2. Suppose h + 5*a + 19 = -9, -h = -2*a - 7. Let i be ((6\/(-4))\/h)\/j. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/10)\/((-9165)\/(-519350))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, -0.43, 2\/11, -5\/3, -15\/1081, 0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + (-15 - 0 - -28)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -15*w**2 - 3. Let y(m) be the first derivative of 76*m**3\/3 + 16*m - 8. Let i(f) = -16*p(f) - 3*y(f). Let l(n) = -2*n**2. Give l(i(a)).\nAnswer: -288*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41692 by 6.\nAnswer: 20846\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.9 + -1. Let q = -13244.97 + 13245. Sort q, 1, w in ascending order.\nAnswer: w, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -49*o - 145. Let i be x(-3). Let y be i\/(-2) - (-8 + 2). Solve -y*u = 27 - 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 5*t - 5, -3*t + 4*t - 1 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*u = 12*u + 4*t, 0 = -2*u - t + 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 15 = 3*u + 5*x, -3*u - x - 3 = 0. Suppose -s + 3*f = -0*s - 337, s + 5*f - 321 = u. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54, -450, -1522, -3606, -7038?\nAnswer: -12154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 0.1575798g?\nAnswer: 157579.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 45\/(-25)*(-6)\/(-18)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**5 - 4*s**5 + 3*s**5 + 2*s**5 - s**5 + s**5 + (s**5 - 3*s**5 + 0*s**5)*(-2 - 2 + 3) - s**2 + s**2 - 2*s**5 + 5*s**4 + 3*s**5 - 4*s**4 + 0*s**5.\nAnswer: 6*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2101212001211 + -2?\nAnswer: 2101212001203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*j + 11*j + 49*j - 2179095. List the prime factors of j.\nAnswer: 3, 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -6 + 5 + -5 - -2 - 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4283136149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 + -3 + -9 + 32. Suppose 2*h + w - c = 0, -h + 0*w - 3*w + 13 = 0. What is the greatest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwfuuwfsffukwfuk. Give prob of picking 1 k and 2 u.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((60\/960)\/(45\/108))\/(36\/15).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.04, 0.02, -63\/8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.04, 0.0448, 3\/5, -4, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1045*p**2 + 745*p**2 - 1017*p**2.\nAnswer: -1317*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3435*n + 3126*n + 8034 = 0 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -37.5331 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 2*l + 1. Let v be s(0). Let h = -100 - -97. Sort v, -1, h, -19 in ascending order.\nAnswer: -19, h, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 69*b - 409. Let g(k) = 14*k - 83. Determine 4*f(o) - 19*g(o).\nAnswer: 10*o - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 11, m: 1}. Give prob of picking 1 m and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2874907um to kilometers.\nAnswer: 0.0000000002874907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3665986528 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**3 - t**2 + 4*t - 5. Suppose 2*k = 6*k - 12. Suppose k = 2*n + 11. Let p be u(n). Calculate the highest common divisor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -239 divided by -203\nAnswer: 239\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r - 5. Let b be t(-6). Which is smaller: -8 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-1) - (-7 - -6). Let v = 4 - m. Suppose -9 + 4 = -z. Solve -v*n + 10 = -z*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -533 - -529. Let v be 3 - (-27)\/(-45)*(-1 + u). Solve x + v = -z - 2, -3*z - 5*x - 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 5*t - 2055 = y, -4*t = -3*y + 1518. What is the hundreds digit of (18\/15)\/(((-15)\/(-5))\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101808520 rounded to the nearest 1000000?\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t - 4*u = 10, 0 = 5*t + 3*u + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2334911 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.32792 nanograms in milligrams?\nAnswer: 0.00004532792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -198 divided by -6.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1))**(-1\/6)\/((p\/p**6)\/((p*p**(-2\/19))\/p)))**(-31) assuming p is positive.\nAnswer: p**(-17887\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 82832204?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 73445, 146891, 220337, 293783?\nAnswer: 367229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/14)\/((-1)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 4*i = 10, x + i = -3*i + 22. Let t be (0 + 8)*31\/(-2). Find the common denominator of t\/32 - 1*x and 44\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -987218 and 6?\nAnswer: -5923308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 868 is divided by 211?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (-36)\/(-120)*-35.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 3*v - 7. Let z(n) = 16*n - 34. Let u(x) = -11*l(x) + 2*z(x). Let h be u(5). Suppose 0 = -3*f + 2*j + 221, -5*j = h*f - 83 - 181. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 33672 and 40.\nAnswer: 168360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (181349 + 1)\/3 - (-228)\/(-76). What is l rounded to the nearest one thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 2*p = -p - 21, -2*p = 4*x + 20. Let o = x + 2. Is 764\/6 + o\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the first derivative of i**2\/2 + 14*i - 7. Let q be w(-8). Let y be (-207)\/(-108) + (-1)\/q. Is 2 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25517709 divided by -261?\nAnswer: 97769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -5. Let y = 3 - g. Is 10\/5 - (-11 + y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}